%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ALG368-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 16:31:20 EDT 2024

% Result   : Unsatisfiable 2.89s 3.14s
% Output   : Proof 3.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.24  % Problem    : ALG368-1 : TPTP v8.2.0. Released v4.1.0.
% 0.13/0.25  % Command    : do_cvc5 %s %d
% 0.25/0.46  % Computer : n015.cluster.edu
% 0.25/0.46  % Model    : x86_64 x86_64
% 0.25/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.46  % Memory   : 8042.1875MB
% 0.25/0.46  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.25/0.47  % CPULimit   : 300
% 0.25/0.47  % WCLimit    : 300
% 0.25/0.47  % DateTime   : Sun May 26 09:50:09 EDT 2024
% 0.25/0.47  % CPUTime    : 
% 0.53/0.89  %----Proving TF0_NAR, FOF, or CNF
% 0.53/0.90  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.89/3.14  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.FpeSTm196A/cvc5---1.0.5_11568.smt2
% 2.89/3.14  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.FpeSTm196A/cvc5---1.0.5_11568.smt2
% 3.06/3.30  (assume a0 (forall ((V_z1 $$unsorted) (V_z2 $$unsorted) (V_w $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_z1 V_z2 tptp.tc_RealDef_Oreal) V_w tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_z1 V_w tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_z2 V_w tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.30  (assume a1 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_a_H T_a) V_b T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a_H V_b T_a) T_a)))))
% 3.06/3.30  (assume a2 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ya $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) V_ya T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_ya T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_ya T_a) T_a)))))
% 3.06/3.30  (assume a3 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_b_H $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_b_H T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b_H T_a) T_a)))))
% 3.06/3.30  (assume a4 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_xa (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_xa V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_xa V_y T_a) T_a)))))
% 3.06/3.30  (assume a5 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 3.06/3.30  (assume a6 (forall ((T_a $$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))))
% 3.06/3.30  (assume a7 (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)))))
% 3.06/3.30  (assume a8 (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)))))
% 3.06/3.30  (assume a9 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_x T_a) V_x))))
% 3.06/3.30  (assume a10 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 3.06/3.30  (assume a11 (forall ((V_x $$unsorted) (V_y $$unsorted)) (= (tptp.c_Complex_Ocnj (tptp.c_HOL_Oplus__class_Oplus V_x V_y tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Complex_Ocnj V_x) (tptp.c_Complex_Ocnj V_y) tptp.tc_Complex_Ocomplex))))
% 3.06/3.30  (assume a12 (forall ((V_x $$unsorted)) (tptp.c_lessequals (tptp.c_Transcendental_Ocos V_x) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.30  (assume a13 (forall ((V_x $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_x V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ominus__class_Ominus V_x (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.30  (assume a14 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) T_a))))
% 3.06/3.30  (assume a15 (forall ((T_a $$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)))))
% 3.06/3.30  (assume a16 (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)))))
% 3.06/3.30  (assume a17 (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)))))
% 3.06/3.30  (assume a18 (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)))))
% 3.06/3.30  (assume a19 (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)))))
% 3.06/3.30  (assume a20 (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)))))
% 3.06/3.30  (assume a21 (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)))))
% 3.06/3.30  (assume a22 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_z V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus V_z V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.30  (assume a23 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ominus__class_Ominus V_a V_b tptp.tc_RealDef_Oreal) V_x T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_b V_x T_a) T_a)))))
% 3.06/3.30  (assume a24 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_xa $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_RealDef_Oreal) V_xa T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_RealVector_OscaleR__class_OscaleR V_x V_xa T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_y V_xa T_a) T_a)))))
% 3.06/3.30  (assume a25 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ominus__class_Ominus V_a V_a_H tptp.tc_RealDef_Oreal) V_b T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_b T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a_H V_b T_a) T_a)))))
% 3.06/3.30  (assume a26 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.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 (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 3.06/3.30  (assume a27 (forall ((V_n $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealDef_Oreal V_n tptp.tc_nat) V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) V_n tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.30  (assume a28 (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)))))
% 3.06/3.30  (assume a29 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.30  (assume a30 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.30  (assume a31 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra__1 T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Power_Opower__class_Opower V_x V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) V_n tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.30  (assume a32 (forall ((V_x $$unsorted) (V_y $$unsorted)) (= (tptp.c_Transcendental_Osin (tptp.c_HOL_Oplus__class_Oplus V_x V_y tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Osin V_x) (tptp.c_Transcendental_Ocos V_y) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Ocos V_x) (tptp.c_Transcendental_Osin V_y) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.30  (assume a33 (forall ((V_x $$unsorted)) (or (not (= (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal))) (= V_x (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)))))
% 3.06/3.30  (assume a34 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)))))
% 3.06/3.30  (assume a35 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a)))))
% 3.06/3.30  (assume a36 (forall ((V_x $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Ocos V_x) (tptp.c_Transcendental_Ocos V_x) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Osin V_x) (tptp.c_Transcendental_Osin V_x) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal))))
% 3.06/3.30  (assume a37 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_a))))
% 3.06/3.30  (assume a38 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))))
% 3.06/3.30  (assume a39 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))))
% 3.06/3.30  (assume a40 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a) V_x))))
% 3.06/3.30  (assume a41 (forall ((V_z $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal) V_z)))
% 3.06/3.30  (assume a42 (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))))
% 3.06/3.30  (assume a43 (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))))
% 3.06/3.30  (assume a44 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_n T_a)))))
% 3.06/3.30  (assume a45 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a)))))
% 3.06/3.30  (assume a46 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_d T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_c T_a) T_a)))))
% 3.06/3.30  (assume a47 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a)))))
% 3.06/3.30  (assume a48 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) T_a)))))
% 3.06/3.30  (assume a49 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 3.06/3.30  (assume a50 (forall ((V_x $$unsorted)) (tptp.c_lessequals (tptp.c_Transcendental_Osin V_x) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.30  (assume a51 (forall ((V_x $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Transcendental_Ocos V_x) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.30  (assume a52 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oone__class_Oone T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 3.06/3.30  (assume a53 (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)))))
% 3.06/3.30  (assume a54 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.30  (assume a55 (forall ((T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Polynomial_Osmult (tptp.c_HOL_Oone__class_Oone T_a) V_p T_a) V_p))))
% 3.06/3.30  (assume a56 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.06/3.30  (assume a57 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.06/3.30  (assume a58 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) T_a) V_y T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.30  (assume a59 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_z (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) T_a) V_y T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.30  (assume a60 (forall ((T_a $$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)))))
% 3.06/3.30  (assume a61 (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))))
% 3.06/3.30  (assume a62 (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))))
% 3.06/3.30  (assume a63 (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))))
% 3.06/3.30  (assume a64 (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))))
% 3.06/3.30  (assume a65 (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))))
% 3.06/3.30  (assume a66 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_RealVector_OscaleR__class_OscaleR V_x V_y T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ominus__class_Ominus V_x V_a tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ominus__class_Ominus V_y V_b T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ominus__class_Ominus V_x V_a tptp.tc_RealDef_Oreal) V_b T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Ominus__class_Ominus V_y V_b T_a) T_a) T_a)))))
% 3.06/3.31  (assume a67 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra__1 T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oone__class_Oone T_a) T_a) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a68 (forall ((V_x $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Transcendental_Osin V_x) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a69 (= (tptp.c_Transcendental_Ocos (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a70 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_a T_a) V_b T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_r (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a71 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_x T_a) V_y T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_r (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a)))))
% 3.06/3.31  (assume a72 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_b T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_r (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a73 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_r $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_xa (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_x T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_r (tptp.c_HOL_Otimes__class_Otimes V_xa V_x T_a) T_a)))))
% 3.06/3.31  (assume a74 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) V_y T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a)))))
% 3.06/3.31  (assume a75 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_y T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a)))))
% 3.06/3.31  (assume a76 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oone__class_Oone T_a) V_n T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 3.06/3.31  (assume a77 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a78 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_y V_u T_a))) (= (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a) V_u))))
% 3.06/3.31  (assume a79 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_x T_a) V_y T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_r (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a)))))
% 3.06/3.31  (assume a80 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a81 (forall ((V_x $$unsorted)) (or (not (= (tptp.c_Transcendental_Ocos V_x) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal))) (= (tptp.c_Transcendental_Osin V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a82 (forall ((V_x $$unsorted) (V_y $$unsorted)) (= (tptp.c_Transcendental_Osin (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Ocos V_y) (tptp.c_Transcendental_Osin V_x) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Osin V_y) (tptp.c_Transcendental_Ocos V_x) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a83 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted) (V_h $$unsorted)) (or (not (tptp.class_RealVector_Oreal__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_d T_a) T_a) V_h T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus V_b V_d T_a) V_h T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus V_a V_c T_a) V_h T_a) V_d T_a) T_a)))))
% 3.06/3.31  (assume a84 (forall ((V_x $$unsorted)) (or (not (= (tptp.c_Transcendental_Osin V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Transcendental_Ocos V_x) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a85 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 3.06/3.31  (assume a86 (forall ((V_z $$unsorted)) (= (tptp.c_Complex_Ocnj (tptp.c_Complex_Ocnj V_z)) V_z)))
% 3.06/3.31  (assume a87 (forall ((V_x $$unsorted) (V_k $$unsorted)) (= (tptp.c_NthRoot_Osqrt (tptp.c_Power_Opower__class_Opower V_x V_k tptp.tc_RealDef_Oreal)) (tptp.c_Power_Opower__class_Opower (tptp.c_NthRoot_Osqrt V_x) V_k tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a88 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_b T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_r (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a89 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_RealVector_OscaleR__class_OscaleR V_b V_x T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_b (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) T_a)))))
% 3.06/3.31  (assume a90 (forall ((T_a $$unsorted) (V_ra $$unsorted) (V_r $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_ra (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_x T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_r (tptp.c_RealVector_OscaleR__class_OscaleR V_ra V_x T_a) T_a)))))
% 3.06/3.31  (assume a91 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a)))))
% 3.06/3.31  (assume a92 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a93 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a)))))
% 3.06/3.31  (assume a94 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower V_a V_n T_a) V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a)))))
% 3.06/3.31  (assume a95 (forall ((T_a $$unsorted) (V_m $$unsorted)) (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 (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_m T_a)))))
% 3.06/3.31  (assume a96 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_d T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a))) (= V_c V_d) (= V_a V_b))))
% 3.06/3.31  (assume a97 (forall ((T_a $$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))))
% 3.06/3.31  (assume a98 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_w V_z T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_w V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_z T_a) T_a)) (= V_z (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a99 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a100 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Otimes__class_Otimes V_a V_m T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_m T_a)))))
% 3.06/3.31  (assume a101 (forall ((V_x $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a102 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) (tptp.c_RealVector_Onorm__class_Onorm V_y T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a103 (forall ((V_x $$unsorted)) (= (tptp.c_Transcendental_Otan (tptp.c_HOL_Oplus__class_Oplus V_x tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal)) (tptp.c_Transcendental_Otan V_x))))
% 3.06/3.31  (assume a104 (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))))
% 3.06/3.31  (assume a105 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Complex_Ocnj V_x) (tptp.c_Complex_Ocnj V_y))) (= V_x V_y))))
% 3.06/3.31  (assume a106 (= (tptp.c_NthRoot_Osqrt (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a107 (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)))))
% 3.06/3.31  (assume a108 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a)))))
% 3.06/3.31  (assume a109 (forall ((V_x $$unsorted) (V_y $$unsorted)) (= (tptp.c_Transcendental_Ocos (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Ocos V_y) (tptp.c_Transcendental_Ocos V_x) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Osin V_y) (tptp.c_Transcendental_Osin V_x) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a110 (forall ((V_x $$unsorted) (V_y $$unsorted)) (= (tptp.c_Transcendental_Ocos (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Ocos V_x) (tptp.c_Transcendental_Ocos V_y) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Osin V_x) (tptp.c_Transcendental_Osin V_y) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a111 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a112 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__div__algebra T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Power_Opower__class_Opower V_x V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) V_n tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a113 (forall ((V_w $$unsorted) (V_z $$unsorted)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm V_w tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oplus__class_Oplus V_w V_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm V_z tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a114 (forall ((V_x $$unsorted) (V_y $$unsorted)) (= (tptp.c_Transcendental_Osin (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Osin V_x) (tptp.c_Transcendental_Ocos V_y) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Ocos V_x) (tptp.c_Transcendental_Osin V_y) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a115 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (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) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_c T_a) T_a) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_b V_d T_a) T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a116 (forall ((V_x $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oabs__class_Oabs V_x tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a117 (forall ((V_x $$unsorted) (V_n $$unsorted)) (= (tptp.c_Transcendental_Otan (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealDef_Oreal V_n tptp.tc_nat) tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (tptp.c_Transcendental_Otan V_x))))
% 3.06/3.31  (assume a118 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_Transcendental_Oln (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)) V_x tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a119 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a120 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a121 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a122 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a123 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a124 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a125 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_x V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a126 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a127 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a128 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a129 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a130 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a131 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a132 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a133 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a134 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a135 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a)))))
% 3.06/3.31  (assume a136 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a137 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 3.06/3.31  (assume a138 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 3.06/3.31  (assume a139 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 3.06/3.31  (assume a140 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 3.06/3.31  (assume a141 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a142 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 3.06/3.31  (assume a143 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a144 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a145 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.06/3.31  (assume a146 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 3.06/3.31  (assume a147 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.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 T_a) V_a T_a)))))
% 3.06/3.31  (assume a148 (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)))))
% 3.06/3.31  (assume a149 (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)))))
% 3.06/3.31  (assume a150 (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)))))
% 3.06/3.31  (assume a151 (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)))))
% 3.06/3.31  (assume a152 (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)))))
% 3.06/3.31  (assume a153 (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)))))
% 3.06/3.31  (assume a154 (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)))))
% 3.06/3.31  (assume a155 (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)))))
% 3.06/3.31  (assume a156 (forall ((V_x $$unsorted) (V_y $$unsorted)) (= (tptp.c_Transcendental_Ocos (tptp.c_HOL_Oplus__class_Oplus V_x V_y tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Ocos V_x) (tptp.c_Transcendental_Ocos V_y) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Osin V_x) (tptp.c_Transcendental_Osin V_y) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a157 (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)))))
% 3.06/3.31  (assume a158 (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)))))
% 3.06/3.31  (assume a159 (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)))))
% 3.06/3.31  (assume a160 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_RealVector_OscaleR__class_OscaleR V_b V_x T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Otimes__class_Otimes V_a V_b tptp.tc_RealDef_Oreal) V_x T_a)))))
% 3.06/3.31  (assume a161 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_e T_a) V_c T_a)))))
% 3.06/3.31  (assume a162 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra__1 T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Oone__class_Oone T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 3.06/3.31  (assume a163 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_Polynomial_Opos__poly (tptp.c_Polynomial_OpCons V_a V_p T_a) T_a) (not (tptp.c_Polynomial_Opos__poly V_p T_a)))))
% 3.06/3.31  (assume a164 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_n T_a)))))
% 3.06/3.31  (assume a165 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a)))))
% 3.06/3.31  (assume a166 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Oplus__class_Oplus V_a V_b tptp.tc_RealDef_Oreal) V_x T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_b V_x T_a) T_a)))))
% 3.06/3.31  (assume a167 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_y T_a) T_a)))))
% 3.06/3.31  (assume a168 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_b_H $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_b_H T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_b T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_b_H T_a) T_a)))))
% 3.06/3.31  (assume a169 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_xa $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Oplus__class_Oplus V_x V_y tptp.tc_RealDef_Oreal) V_xa T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_OscaleR__class_OscaleR V_x V_xa T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_y V_xa T_a) T_a)))))
% 3.06/3.31  (assume a170 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Oplus__class_Oplus V_a V_a_H tptp.tc_RealDef_Oreal) V_b T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_b T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a_H V_b T_a) T_a)))))
% 3.06/3.31  (assume a171 (forall ((V_b $$unsorted) (V_a $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oplus__class_Oplus V_b V_a tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm V_b tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm V_a tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a172 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) V_y T_a)))))
% 3.06/3.31  (assume a173 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a174 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 3.06/3.31  (assume a175 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ya $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) V_ya T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Odivide V_x V_ya T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_ya T_a) T_a)))))
% 3.06/3.31  (assume a176 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a177 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (not (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_b V_x T_a))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a V_b))))
% 3.06/3.31  (assume a178 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a179 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a))))))
% 3.06/3.31  (assume a180 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a181 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a182 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a183 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (= (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 3.06/3.31  (assume a184 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a185 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a186 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a187 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a188 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a189 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a190 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a191 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a192 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a193 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 3.06/3.31  (assume a194 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))))
% 3.06/3.31  (assume a195 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 3.06/3.31  (assume a196 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a197 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) V_x))))
% 3.06/3.31  (assume a198 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))))
% 3.06/3.31  (assume a199 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 3.06/3.31  (assume a200 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))))
% 3.06/3.31  (assume a201 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)))))
% 3.06/3.31  (assume a202 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a)))))
% 3.06/3.31  (assume a203 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a204 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a205 (forall ((T_a $$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_Oplus__class_Oplus (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) T_a))))
% 3.06/3.31  (assume a206 (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)))))
% 3.06/3.31  (assume a207 (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)))))
% 3.06/3.31  (assume a208 (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)))))
% 3.06/3.31  (assume a209 (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)))))
% 3.06/3.31  (assume a210 (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)))))
% 3.06/3.31  (assume a211 (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)))))
% 3.06/3.31  (assume a212 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.06/3.31  (assume a213 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_y T_a) T_a)))))
% 3.06/3.31  (assume a214 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_b_H $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Ominus__class_Ominus V_b V_b_H T_a) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_b T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_b_H T_a) T_a)))))
% 3.06/3.31  (assume a215 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 3.06/3.31  (assume a216 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ya $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) V_ya T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Odivide V_x V_ya T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_ya T_a) T_a)))))
% 3.06/3.31  (assume a217 (forall ((T_a $$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))))
% 3.06/3.31  (assume a218 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ominus__class_Ominus V_c V_d T_a) T_a)))))
% 3.06/3.31  (assume a219 (forall ((T_a $$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))))
% 3.06/3.31  (assume a220 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (not (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_y T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (= V_x V_y))))
% 3.06/3.31  (assume a221 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x T_a) (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y T_a)))))
% 3.06/3.31  (assume a222 (= (tptp.c_Transcendental_Otan (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a223 (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a224 (= (tptp.c_Transcendental_Osin (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a225 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_r $$unsorted) (V_s $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_r V_s tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm V_y T_a) V_s tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) V_r tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a226 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Polynomial_Opos__poly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a)))))
% 3.06/3.31  (assume a227 (forall ((V_z $$unsorted)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Complex_Ocnj V_z) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm V_z tptp.tc_Complex_Ocomplex))))
% 3.06/3.31  (assume a228 (forall ((V_x $$unsorted) (V_y $$unsorted)) (= (tptp.c_Complex_Ocnj (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Complex_Ocnj V_x) (tptp.c_Complex_Ocnj V_y) tptp.tc_Complex_Ocomplex))))
% 3.06/3.31  (assume a229 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_x V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_w T_a) T_a) (not (tptp.c_lessequals V_w V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_w T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 3.06/3.31  (assume a230 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_lessequals V_b V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a231 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a232 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a233 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a234 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 3.06/3.31  (assume a235 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_w T_a) T_a) (not (tptp.c_lessequals V_w V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_w T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 3.06/3.31  (assume a236 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a237 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 3.06/3.31  (assume a238 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a239 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a240 (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)))))
% 3.06/3.31  (assume a241 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_w V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_w T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 3.06/3.31  (assume a242 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a243 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 3.06/3.31  (assume a244 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 3.06/3.31  (assume a245 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 3.06/3.31  (assume a246 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 3.06/3.31  (assume a247 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_c V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.06/3.31  (assume a248 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a249 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a250 (forall ((T_a $$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))))
% 3.06/3.31  (assume a251 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a252 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 3.06/3.31  (assume a253 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a254 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a255 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a256 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 3.06/3.31  (assume a257 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a258 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a259 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a260 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a261 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a262 (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)))))
% 3.06/3.31  (assume a263 (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)))))
% 3.06/3.31  (assume a264 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a265 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a266 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a267 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a268 (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)))))
% 3.06/3.31  (assume a269 (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)))))
% 3.06/3.31  (assume a270 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a271 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a)))))
% 3.06/3.31  (assume a272 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a273 (forall ((T_a $$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 V_n T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a274 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a275 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a276 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a277 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a278 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a279 (forall ((T_a $$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))))
% 3.06/3.31  (assume a280 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a281 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a282 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a283 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a284 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a285 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a286 (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)))))
% 3.06/3.31  (assume a287 (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)))))
% 3.06/3.31  (assume a288 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_c T_a) V_a) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a289 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a290 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_c T_a) V_a))))
% 3.06/3.31  (assume a291 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a292 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_r $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_r V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_r V_d T_a) T_a))) (= V_c V_d) (= V_r (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a293 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (= (tptp.c_HOL_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))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a294 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a295 (forall ((T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) V_c T_a)))))
% 3.06/3.31  (assume a296 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a297 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_c T_a) V_b) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a298 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a299 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_w V_z T_a))) (= V_z (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_w V_y T_a)))))
% 3.06/3.31  (assume a300 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_w $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.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 (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_w V_z T_a)))))
% 3.06/3.31  (assume a301 (forall ((T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) V_c T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a302 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 3.06/3.31  (assume a303 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a304 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Otimes__class_Otimes V_m V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_n T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_m T_a)))))
% 3.06/3.31  (assume a305 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a306 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a307 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (not (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a308 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_x V_a T_a) (tptp.c_HOL_Ominus__class_Ominus V_y V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_x V_a T_a) V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ominus__class_Ominus V_y V_b T_a) T_a) T_a)))))
% 3.06/3.31  (assume a309 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a310 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) T_a)))))
% 3.06/3.31  (assume a311 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d))))
% 3.06/3.31  (assume a312 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a))) (= V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a)))))
% 3.06/3.31  (assume a313 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a314 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a) T_a))))
% 3.06/3.31  (assume a315 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oplus__class_Oplus V_c (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a)))))
% 3.06/3.31  (assume a316 (forall ((T_a $$unsorted) (V_vskULp $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1 V_vskULp T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a317 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1 V_x T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a318 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1 V_y T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a319 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a320 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a321 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (= V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a322 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (= V_y (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a323 (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a324 (= (tptp.c_Transcendental_Osin tptp.c_Transcendental_Opi) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a325 (= (tptp.c_Transcendental_Otan tptp.c_Transcendental_Opi) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a326 (forall ((T_a $$unsorted)) (or (not (tptp.class_SEQ_Obanach T_a)) (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_Transcendental_Oexp (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 3.06/3.31  (assume a327 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a328 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals V_x (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a329 (forall ((V_y $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a330 (forall ((V_y $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a331 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osqrt V_x) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a332 (forall ((V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a333 (forall ((V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a334 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a335 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a336 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_SEQ_Obanach T_a)) (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_Transcendental_Oexp (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Oexp V_x T_a) (tptp.c_Transcendental_Oexp V_y T_a) T_a)))))
% 3.06/3.31  (assume a337 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_SEQ_Obanach T_a)) (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Oexp V_x T_a) (tptp.c_Transcendental_Oexp V_y T_a) T_a) (tptp.c_Transcendental_Oexp (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) T_a)))))
% 3.06/3.31  (assume a338 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_SEQ_Obanach T_a)) (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_Transcendental_Oexp (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Transcendental_Oexp V_x T_a) (tptp.c_Transcendental_Oexp V_y T_a) T_a)))))
% 3.06/3.31  (assume a339 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_p (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))) (tptp.c_Polynomial_Opos__poly V_p T_a) (not (tptp.c_Polynomial_Opos__poly (tptp.c_Polynomial_OpCons V_a V_p T_a) T_a)))))
% 3.06/3.31  (assume a340 (= (tptp.c_Transcendental_Oln (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a341 (forall ((V_x $$unsorted)) (or (not (= (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal))) (= V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a342 (= (tptp.c_Transcendental_Oexp (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a343 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_lessequals (tptp.c_RealVector_Odist__class_Odist V_x V_z T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Odist__class_Odist V_x V_y T_a) (tptp.c_RealVector_Odist__class_Odist V_y V_z T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a344 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_lessequals (tptp.c_RealVector_Odist__class_Odist V_x V_y T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Odist__class_Odist V_x V_z T_a) (tptp.c_RealVector_Odist__class_Odist V_y V_z T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a345 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_lessequals (tptp.c_RealVector_Odist__class_Odist V_x V_y T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Odist__class_Odist V_a V_x T_a) (tptp.c_RealVector_Odist__class_Odist V_a V_y T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a346 (forall ((V_y $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_y V_b tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1 V_a V_b V_x) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x V_b tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_a V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a347 (forall ((V_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_b $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_a V_y tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1 V_a V_b V_x) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x V_b tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_a V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a348 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_c V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a 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_b V_a T_a)))))
% 3.06/3.31  (assume a349 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))))
% 3.06/3.31  (assume a350 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 3.06/3.31  (assume a351 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 3.06/3.31  (assume a352 (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 V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 3.06/3.31  (assume a353 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))))
% 3.06/3.31  (assume a354 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 3.06/3.31  (assume a355 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 3.06/3.31  (assume a356 (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 V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 3.06/3.31  (assume a357 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_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)))))
% 3.06/3.31  (assume a358 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_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)))))
% 3.06/3.31  (assume a359 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b 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)))))
% 3.06/3.31  (assume a360 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b 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)))))
% 3.06/3.31  (assume a361 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) T_a)))))
% 3.06/3.31  (assume a362 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless V_z (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 3.06/3.31  (assume a363 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 3.06/3.31  (assume a364 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))))
% 3.06/3.31  (assume a365 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 3.06/3.31  (assume a366 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))))
% 3.06/3.31  (assume a367 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 3.06/3.31  (assume a368 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a369 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) T_a) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a370 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.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 (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a371 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) V_x T_a) (not (tptp.c_lessequals V_y (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 3.06/3.31  (assume a372 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.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 (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 3.06/3.31  (assume a373 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 3.06/3.31  (assume a374 (forall ((T_a $$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))))
% 3.06/3.31  (assume a375 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a376 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_lessequals (tptp.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)))))
% 3.06/3.31  (assume a377 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))))
% 3.06/3.31  (assume a378 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))))
% 3.06/3.31  (assume a379 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_w V_z T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_w V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_z T_a) T_a)) (= V_z (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a380 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a)))))
% 3.06/3.31  (assume a381 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a)))))
% 3.06/3.31  (assume a382 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d T_a)))))
% 3.06/3.31  (assume a383 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a)))))
% 3.06/3.31  (assume a384 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a) (not (tptp.c_lessequals V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a)))))
% 3.06/3.31  (assume a385 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a)))))
% 3.06/3.31  (assume a386 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d T_a)))))
% 3.06/3.31  (assume a387 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a)))))
% 3.06/3.31  (assume a388 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oabs__class_Oabs V_x T_a) V_y T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 3.06/3.31  (assume a389 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_n T_a) T_a))))
% 3.06/3.31  (assume a390 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_HOL_Osgn__class_Osgn V_a T_a) (tptp.c_HOL_Oone__class_Oone T_a))) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a))))
% 3.06/3.31  (assume a391 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Osgn__class_Osgn V_a T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a392 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osgn__if T_a)) (= (tptp.c_HOL_Osgn__class_Osgn V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a393 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oplus__class_Oplus V_a V_r T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_x V_a T_a) T_a) V_r T_a)))))
% 3.06/3.31  (assume a394 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_x V_a T_a) T_a) V_r T_a) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oplus__class_Oplus V_a V_r T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_r T_a) V_x T_a)))))
% 3.06/3.31  (assume a395 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a) T_a))))
% 3.06/3.31  (assume a396 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_a V_c T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_b V_d T_a) T_a) T_a) T_a))))
% 3.06/3.31  (assume a397 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_Polynomial_Opos__poly V_p T_a) (not (tptp.c_Polynomial_Opos__poly (tptp.c_Polynomial_OpCons V_a V_p T_a) T_a)))))
% 3.06/3.31  (assume a398 (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)))
% 3.06/3.31  (assume a399 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (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) (= V_y (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a400 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (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) (= V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a401 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a402 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a403 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn V_x T_a) T_a) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a404 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals (tptp.c_Transcendental_Ocos V_x) (tptp.c_Transcendental_Ocos V_y) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals V_y V_x tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a405 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Osin V_x) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a406 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Osin V_x) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a407 (forall ((V_x $$unsorted) (V_y $$unsorted)) (tptp.c_lessequals V_x (tptp.c_NthRoot_Osqrt (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)))
% 3.06/3.31  (assume a408 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oln V_x) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a409 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a410 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a411 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a412 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a413 (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Transcendental_Oln (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a414 (forall ((V_x $$unsorted)) (or (not (= (tptp.c_Transcendental_Oln V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)) (= V_x (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a415 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Oln V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a416 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Oln V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oone__class_Oone 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_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a417 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oln V_x) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a418 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oln V_x) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a419 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oln V_x) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a420 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oln V_x) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a421 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a422 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a423 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a424 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_x 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_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a425 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs V_a tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a426 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_Polynomial_OpCons V_a V_p T_a) V_x T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_Polynomial_Opoly V_p V_x T_a) T_a) T_a)))))
% 3.06/3.31  (assume a427 (forall ((V_n $$unsorted) (V_x $$unsorted)) (= (tptp.c_Transcendental_Oexp (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealDef_Oreal V_n tptp.tc_nat) V_x tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_Power_Opower__class_Opower (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) V_n tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a428 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_Polynomial_Omonom V_a V_n T_a) V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Power_Opower__class_Opower V_x V_n T_a) T_a)))))
% 3.06/3.31  (assume a429 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 3.06/3.31  (assume a430 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 3.06/3.31  (assume a431 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 3.06/3.31  (assume a432 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 3.06/3.31  (assume a433 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))))
% 3.06/3.31  (assume a434 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 3.06/3.31  (assume a435 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))))
% 3.06/3.31  (assume a436 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 3.06/3.31  (assume a437 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))))
% 3.06/3.31  (assume a438 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))))
% 3.06/3.31  (assume a439 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals V_z (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 3.06/3.31  (assume a440 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) V_z T_a) (not (tptp.c_lessequals V_x (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 3.06/3.31  (assume a441 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))))
% 3.06/3.31  (assume a442 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 3.06/3.31  (assume a443 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))))
% 3.06/3.31  (assume a444 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 3.06/3.31  (assume a445 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_c V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 3.06/3.31  (assume a446 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_c V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_b V_a T_a)))))
% 3.06/3.31  (assume a447 (forall ((V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_Transcendental_Otan (tptp.c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1 V_y)) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a448 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_K $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes V_x V_K T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm V_K T_a) (tptp.c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1 V_x T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a449 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_vskULp $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1 V_vskULp T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a450 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_K $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes V_x V_K T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm V_K T_a) (tptp.c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1 V_x T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a451 (forall ((T_a $$unsorted) (V_K $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes V_K V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm V_K T_a) (tptp.c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1 V_y T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a452 (forall ((T_a $$unsorted) (V_K $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes V_K V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm V_K T_a) (tptp.c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1 V_y T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a453 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_vskULj $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1 V_vskULj T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a454 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_Polynomial_Opos__poly (tptp.c_Polynomial_OpCons V_a (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a455 (forall ((V_r $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_r (tptp.c_RealDef_Oreal (tptp.c_RComplete_Osko__RComplete__Xreals__Archimedean6__1__1 V_r) tptp.tc_nat) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_r tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a456 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Ocos V_x) (tptp.c_Transcendental_Ocos V_y) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a457 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealDef_Oreal (tptp.c_RComplete_Osko__RComplete__Xreals__Archimedean3__1__1 V_x V_y) tptp.tc_nat) V_x tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a458 (forall ((V_x $$unsorted) (V_y $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osqrt (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a459 (forall ((V_n $$unsorted)) (= (tptp.c_Transcendental_Osin (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealDef_Oreal V_n tptp.tc_nat) tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a460 (forall ((V_n $$unsorted)) (= (tptp.c_Transcendental_Otan (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealDef_Oreal V_n tptp.tc_nat) tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a461 (forall ((V_n $$unsorted)) (= (tptp.c_Transcendental_Osin (tptp.c_HOL_Otimes__class_Otimes tptp.c_Transcendental_Opi (tptp.c_RealDef_Oreal V_n tptp.tc_nat) tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a462 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a463 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oln V_x) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a464 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oln V_x) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a465 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oln V_x) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a466 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (= (tptp.c_Transcendental_Oln (tptp.c_HOL_Otimes__class_Otimes V_x V_y tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Transcendental_Oln V_x) (tptp.c_Transcendental_Oln V_y) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a467 (forall ((V_y $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (tptp.c_lessequals V_y V_b tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_Deriv_Osko__Deriv__Xlemma__interval__1__1 V_a V_b V_x) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x V_b tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_a V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a468 (forall ((V_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_b $$unsorted)) (or (tptp.c_lessequals V_a V_y tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_Deriv_Osko__Deriv__Xlemma__interval__1__1 V_a V_b V_x) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x V_b tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_a V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a469 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealDef_Oreal (tptp.c_Transcendental_Osko__Transcendental__Xreals__Archimedean4__1__1 V_x V_y) tptp.tc_nat) V_y tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a470 (forall ((T_a $$unsorted) (V_K $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oinverse__class_Odivide V_K V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm V_K T_a) (tptp.c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1 V_y T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a471 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_K $$unsorted) (V_vskULt $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_K T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm V_K T_a) (tptp.c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1 V_vskULt V_r T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a472 (forall ((V_x $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Transcendental_Oln (tptp.c_Power_Opower__class_Opower V_x V_n tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealDef_Oreal V_n tptp.tc_nat) (tptp.c_Transcendental_Oln V_x) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a473 (forall ((V_K $$unsorted)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Complex_Ocnj V_K) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm V_K tptp.tc_Complex_Ocomplex) tptp.c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a474 (= (tptp.c_RealVector_Odist__class_Odist tptp.v_x tptp.v_y tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus tptp.v_x tptp.v_y tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))
% 3.06/3.31  (assume a475 (forall ((V_x $$unsorted)) (= (tptp.c_Polynomial_Opoly tptp.v_q____ V_x tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly tptp.v_p (tptp.c_HOL_Oplus__class_Oplus tptp.v_z V_x tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))
% 3.06/3.31  (assume a476 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a477 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 3.06/3.31  (assume a478 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 3.06/3.31  (assume a479 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 3.06/3.31  (assume a480 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 3.06/3.31  (assume a481 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 3.06/3.31  (assume a482 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_b V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a483 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a484 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 3.06/3.31  (assume a485 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 3.06/3.31  (assume a486 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 3.06/3.31  (assume a487 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 3.06/3.31  (assume a488 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.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 (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.06/3.31  (assume a489 (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)))))
% 3.06/3.31  (assume a490 (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)))))
% 3.06/3.31  (assume a491 (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)))))
% 3.06/3.31  (assume a492 (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)))))
% 3.06/3.31  (assume a493 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.06/3.31  (assume a494 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.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 (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 3.06/3.31  (assume a495 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.06/3.31  (assume a496 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_SEQ_Obanach T_a)) (not (tptp.class_RealVector_Oreal__normed__field T_a)) (not (= (tptp.c_Transcendental_Oexp V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 3.06/3.31  (assume a497 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (= (tptp.c_HOL_Osgn__class_Osgn V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a498 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_HOL_Osgn__class_Osgn V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a499 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a500 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a501 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (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) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a502 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a503 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a504 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a505 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a506 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a507 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a508 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a509 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a510 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a511 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a512 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a513 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a514 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a515 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osgn__if T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a516 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a517 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (not (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a518 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Osmult V_a (tptp.c_Polynomial_Osmult V_b V_p T_a) T_a) (tptp.c_Polynomial_Osmult (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_p T_a)))))
% 3.06/3.31  (assume a519 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (= V_x V_y) (not (tptp.c_lessequals (tptp.c_RealVector_Odist__class_Odist V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a520 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_Polynomial_Osmult V_a V_p T_a) V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Polynomial_Opoly V_p V_x T_a) T_a)))))
% 3.06/3.31  (assume a521 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a522 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a523 (forall ((V_x $$unsorted) (V_y $$unsorted)) (= (tptp.c_NthRoot_Osqrt (tptp.c_HOL_Otimes__class_Otimes V_x V_y tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_NthRoot_Osqrt V_x) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a524 (forall ((V_n $$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)))
% 3.06/3.31  (assume a525 (forall ((V_x $$unsorted)) (not (tptp.c_lessequals (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a526 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_HOL_Ozero T_a)) (= (tptp.c_Polynomial_Ocoeff (tptp.c_Polynomial_Omonom V_a V_m T_a) V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_m V_n))))
% 3.06/3.31  (assume a527 (forall ((T_a $$unsorted) (V_K $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes V_K V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm V_K T_a) (tptp.c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1 V_y T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a528 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Ocoeff (tptp.c_Polynomial_Osmult V_a V_p T_a) V_n T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Polynomial_Ocoeff V_p V_n T_a) T_a)))))
% 3.06/3.31  (assume a529 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a)))))
% 3.06/3.31  (assume a530 (forall ((V_z $$unsorted) (V_w $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes V_z V_w tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_w V_z tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a531 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a532 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_b T_a) V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_c T_a)))))
% 3.06/3.31  (assume a533 (forall ((V_x $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a534 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) T_a))))
% 3.06/3.31  (assume a535 (forall ((V_x $$unsorted) (V_r $$unsorted)) (or (tptp.c_lessequals V_x V_r tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs V_x tptp.tc_RealDef_Oreal) V_r tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a536 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_b T_a)))))
% 3.06/3.31  (assume a537 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a) T_a))))
% 3.06/3.31  (assume a538 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) (tptp.c_RealVector_Onorm__class_Onorm V_y T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a539 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Osgn__class_Osgn V_x T_a) (tptp.c_HOL_Oabs__class_Oabs V_x T_a) T_a) V_x))))
% 3.06/3.31  (assume a540 (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))))
% 3.06/3.31  (assume a541 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_lessequals (tptp.c_RealVector_Odist__class_Odist V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a542 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_rx T_a) (tptp.c_HOL_Otimes__class_Otimes V_ly V_ry T_a) T_a)))))
% 3.06/3.31  (assume a543 (forall ((T_a $$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 V_lx (tptp.c_HOL_Otimes__class_Otimes V_ly (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) T_a)))))
% 3.06/3.31  (assume a544 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) V_ry T_a) T_a)))))
% 3.06/3.31  (assume a545 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a546 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a547 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a548 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a549 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_b T_a)))))
% 3.06/3.31  (assume a550 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 3.06/3.31  (assume a551 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 3.06/3.31  (assume a552 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a553 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_lessequals V_b V_a T_a)) (= V_a V_b))))
% 3.06/3.31  (assume a554 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a555 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 3.06/3.31  (assume a556 (forall ((T_a $$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))))
% 3.06/3.31  (assume a557 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (= V_a V_b) (not (tptp.c_lessequals V_a V_b T_a)))))
% 3.06/3.31  (assume a558 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a559 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)))))
% 3.06/3.31  (assume a560 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a561 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_lessequals V_y V_x T_a))))
% 3.06/3.31  (assume a562 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_x V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 3.06/3.31  (assume a563 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_x T_a) (tptp.c_lessequals V_x V_x T_a))))
% 3.06/3.31  (assume a564 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a565 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 3.06/3.31  (assume a566 (forall ((T_a $$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))))
% 3.06/3.31  (assume a567 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 3.06/3.31  (assume a568 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) T_a)))))
% 3.06/3.31  (assume a569 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y_H V_x_H T_a) (not (tptp.c_lessequals V_y V_x T_a)))))
% 3.06/3.31  (assume a570 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a571 (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)))))
% 3.06/3.31  (assume a572 (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)))))
% 3.06/3.31  (assume a573 (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)))))
% 3.06/3.31  (assume a574 (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)))))
% 3.06/3.31  (assume a575 (forall ((V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_c tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_b V_c tptp.tc_RealDef_Oreal))) (= V_c (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (= V_a V_b))))
% 3.06/3.31  (assume a576 (forall ((V_c $$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))))
% 3.06/3.31  (assume a577 (forall ((V_x $$unsorted)) (or (not (= (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (= V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a578 (not (= tptp.c_Transcendental_Opi (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a579 (= (tptp.c_NthRoot_Osqrt (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a580 (forall ((V_n $$unsorted)) (= (tptp.c_NthRoot_Oroot V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a581 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (= (tptp.c_RealVector_Odist__class_Odist V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a582 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (= (tptp.c_RealVector_Odist__class_Odist V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (= V_x V_y))))
% 3.06/3.31  (assume a583 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals (tptp.c_Transcendental_Oln V_x) (tptp.c_Transcendental_Oln V_y) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a584 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_Transcendental_Oln V_x) (tptp.c_Transcendental_Oln V_y) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a585 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_RealDef_Oreal__of__preal V_x) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_y (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a586 (forall ((V_x $$unsorted)) (or (= (tptp.c_Transcendental_Oexp (tptp.c_Transcendental_Oln V_x) tptp.tc_RealDef_Oreal) V_x) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a587 (forall ((V_x $$unsorted)) (or (not (= (tptp.c_Transcendental_Oexp (tptp.c_Transcendental_Oln V_x) tptp.tc_RealDef_Oreal) V_x)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a588 (forall ((V_z $$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)))))
% 3.06/3.31  (assume a589 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_z V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_z V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a590 (forall ((V_x $$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)))))
% 3.06/3.31  (assume a591 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_x V_z tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_z tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a592 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a593 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a594 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a595 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal) (= V_x V_y) (not (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a596 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_NthRoot_Osqrt V_x) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a597 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_NthRoot_Osqrt V_x) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a598 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_r $$unsorted) (V_s $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_r V_s tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm V_y T_a) V_s tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) V_r tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a599 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm V_a T_a)))))
% 3.06/3.31  (assume a600 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Osmult V_a (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 3.06/3.31  (assume a601 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (= (tptp.c_Polynomial_Osmult V_a (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 3.06/3.31  (assume a602 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_HOL_Ozero T_a)) (not (= (tptp.c_Polynomial_OpCons V_a V_p T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)))) (= V_p (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 3.06/3.31  (assume a603 (forall ((T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_p (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a)) V_p))))
% 3.06/3.31  (assume a604 (forall ((V_p $$unsorted) (V_z $$unsorted) (V_r $$unsorted)) (or (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly V_p V_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1 V_p V_r) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm V_z tptp.tc_Complex_Ocomplex) V_r tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a605 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_c $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_c (tptp.c_RealVector_Onorm__class_Onorm V_y T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a606 (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)))))
% 3.06/3.31  (assume a607 (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)))))
% 3.06/3.31  (assume a608 (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)))))
% 3.06/3.31  (assume a609 (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)))))
% 3.06/3.31  (assume a610 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a)))))
% 3.06/3.31  (assume a611 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oabs__if T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_a) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 3.06/3.31  (assume a612 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_a) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 3.06/3.31  (assume a613 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a614 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a615 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a616 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Osgn__class_Osgn V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a617 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Osgn__class_Osgn V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a618 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 3.06/3.31  (assume a619 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 3.06/3.31  (assume a620 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a621 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a622 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a623 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) T_a)))))
% 3.06/3.31  (assume a624 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a625 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a626 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a627 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a628 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn V_a T_a) T_a)))))
% 3.06/3.31  (assume a629 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a630 (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)))))
% 3.06/3.31  (assume a631 (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)))))
% 3.06/3.31  (assume a632 (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)))))
% 3.06/3.31  (assume a633 (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)))))
% 3.06/3.31  (assume a634 (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)))))
% 3.06/3.31  (assume a635 (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)))))
% 3.06/3.31  (assume a636 (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)))))
% 3.06/3.31  (assume a637 (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)))))
% 3.06/3.31  (assume a638 (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)))))
% 3.06/3.31  (assume a639 (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)))))
% 3.06/3.31  (assume a640 (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)))))
% 3.06/3.31  (assume a641 (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)))))
% 3.06/3.31  (assume a642 (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)))))
% 3.06/3.31  (assume a643 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a644 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a645 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_r T_a) V_x T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_x V_a T_a) T_a) V_r T_a)))))
% 3.06/3.31  (assume a646 (forall ((T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Osmult (tptp.c_HOL_Ozero__class_Ozero T_a) V_p T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 3.06/3.31  (assume a647 (forall ((T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (= (tptp.c_Polynomial_Osmult (tptp.c_HOL_Ozero__class_Ozero T_a) V_p T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 3.06/3.31  (assume a648 (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)))))
% 3.06/3.31  (assume a649 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 3.06/3.31  (assume a650 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a651 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 3.06/3.31  (assume a652 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_Polynomial_Ocoeff (tptp.c_HOL_Ominus__class_Ominus V_p V_q (tptp.tc_Polynomial_Opoly T_a)) V_n T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Ocoeff V_p V_n T_a) (tptp.c_Polynomial_Ocoeff V_q V_n T_a) T_a)))))
% 3.06/3.31  (assume a653 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a654 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a)))))
% 3.06/3.31  (assume a655 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a656 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a657 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a658 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a659 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a)))))
% 3.06/3.31  (assume a660 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a661 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a662 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a663 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a664 (forall ((V_y $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a665 (forall ((V_y $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a666 (forall ((V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osqrt V_x) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a667 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_b $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_HOL_Ozero T_a)) (not (= (tptp.c_Polynomial_OpCons V_a V_p T_a) (tptp.c_Polynomial_OpCons V_b V_q T_a))) (= V_p V_q))))
% 3.06/3.31  (assume a668 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_b $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_HOL_Ozero T_a)) (not (= (tptp.c_Polynomial_OpCons V_a V_p T_a) (tptp.c_Polynomial_OpCons V_b V_q T_a))) (= V_a V_b))))
% 3.06/3.31  (assume a669 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_NthRoot_Osqrt V_x) (tptp.c_NthRoot_Osqrt V_y))) (= V_x V_y))))
% 3.06/3.31  (assume a670 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_y tptp.tc_RealDef_Oreal))) (= V_x V_y))))
% 3.06/3.31  (assume a671 (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)))))
% 3.06/3.31  (assume a672 (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)))))
% 3.06/3.31  (assume a673 (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)))))
% 3.06/3.31  (assume a674 (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)))))
% 3.06/3.31  (assume a675 (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)))))
% 3.06/3.31  (assume a676 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Odist__class_Odist V_x V_y T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a677 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Osmult V_a (tptp.c_Polynomial_OpCons V_b V_p T_a) T_a) (tptp.c_Polynomial_OpCons (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_Polynomial_Osmult V_a V_p T_a) T_a)))))
% 3.06/3.31  (assume a678 (forall ((V_x $$unsorted)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_RealDef_Oreal V_x tptp.tc_nat) tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Oreal V_x tptp.tc_nat))))
% 3.06/3.31  (assume a679 (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))))
% 3.06/3.31  (assume a680 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a681 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a682 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a683 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a) T_a))))
% 3.06/3.31  (assume a684 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a685 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a686 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a687 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) T_a))))
% 3.06/3.31  (assume a688 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 3.06/3.31  (assume a689 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) V_rx T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_rx T_a) V_ly T_a)))))
% 3.06/3.31  (assume a690 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) V_rx T_a) (tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_ly V_rx T_a) T_a)))))
% 3.06/3.31  (assume a691 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_rx T_a) V_ry T_a)))))
% 3.06/3.31  (assume a692 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx (tptp.c_HOL_Otimes__class_Otimes V_lx V_ry T_a) T_a)))))
% 3.06/3.31  (assume a693 (forall ((V_z1 $$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))))
% 3.06/3.31  (assume a694 (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)))))
% 3.06/3.31  (assume a695 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a696 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a697 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a698 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 3.06/3.31  (assume a699 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_p $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (not (= (tptp.c_Polynomial_Osmult V_c V_p T_a) (tptp.c_Polynomial_OpCons V_a V_p T_a))) (= V_p (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 3.06/3.31  (assume a700 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 3.06/3.31  (assume a701 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (tptp.c_lessequals (tptp.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 (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 3.06/3.31  (assume a702 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_b $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_OpCons V_a V_p T_a) (tptp.c_Polynomial_OpCons V_b V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_Polynomial_OpCons (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ominus__class_Ominus V_p V_q (tptp.tc_Polynomial_Opoly T_a)) T_a)))))
% 3.06/3.31  (assume a703 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Osgn__class_Osgn V_a T_a) T_a) (tptp.c_HOL_Osgn__class_Osgn V_a T_a)))))
% 3.06/3.31  (assume a704 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Osmult V_a (tptp.c_Polynomial_Omonom V_b V_n T_a) T_a) (tptp.c_Polynomial_Omonom (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_n T_a)))))
% 3.06/3.31  (assume a705 (forall ((T_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_k T_a) (tptp.c_HOL_Otimes__class_Otimes V_k (tptp.c_HOL_Osgn__class_Osgn V_k T_a) T_a)))))
% 3.06/3.31  (assume a706 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_vskULn $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1 V_vskULn T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a707 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_K $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes V_x V_K T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm V_K T_a) (tptp.c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1 V_x T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a708 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a709 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a710 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a711 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a712 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a713 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.06/3.31  (assume a714 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.06/3.31  (assume a715 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 3.06/3.31  (assume a716 (forall ((V_y $$unsorted)) (= (tptp.c_Transcendental_Oln (tptp.c_Transcendental_Oexp V_y tptp.tc_RealDef_Oreal)) V_y)))
% 3.06/3.31  (assume a717 (forall ((V_u $$unsorted)) (= (tptp.c_Transcendental_Oln (tptp.c_Transcendental_Oexp V_u tptp.tc_RealDef_Oreal)) V_u)))
% 3.06/3.31  (assume a718 (forall ((V_x $$unsorted)) (= (tptp.c_Transcendental_Oln (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal)) V_x)))
% 3.06/3.31  (assume a719 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (= (tptp.c_RealVector_Odist__class_Odist V_x V_y T_a) (tptp.c_RealVector_Odist__class_Odist V_y V_x T_a)))))
% 3.06/3.31  (assume a720 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_HOL_Ozero T_a)) (= (tptp.c_Polynomial_Ocoeff (tptp.c_Polynomial_Omonom V_a V_x T_a) V_x T_a) V_a))))
% 3.06/3.31  (assume a721 (forall ((V_x $$unsorted)) (or (not (= (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)) (= V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a722 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals (tptp.c_NthRoot_Osqrt V_x) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals V_x V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a723 (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_NthRoot_Osqrt V_x) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a724 (forall ((V_x $$unsorted) (V_c $$unsorted) (V_y $$unsorted)) (or (= V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_c (tptp.c_HOL_Oabs__class_Oabs V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a725 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)))))
% 3.06/3.31  (assume a726 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__div__algebra T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) (tptp.c_RealVector_Onorm__class_Onorm V_y T_a) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a727 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a))))
% 3.06/3.31  (assume a728 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T_a)) (= (tptp.c_Polynomial_Osmult (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_p T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Osmult V_a V_p T_a) (tptp.c_Polynomial_Osmult V_b V_p T_a) (tptp.tc_Polynomial_Opoly T_a))))))
% 3.06/3.31  (assume a729 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T_a)) (= (tptp.c_Polynomial_Osmult V_a (tptp.c_HOL_Ominus__class_Ominus V_p V_q (tptp.tc_Polynomial_Opoly T_a)) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Osmult V_a V_p T_a) (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a))))))
% 3.06/3.31  (assume a730 (forall ((V_x $$unsorted)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a731 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a)))))
% 3.06/3.31  (assume a732 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs V_y T_a) V_x T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Otimes__class_Otimes V_y V_x T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 3.06/3.31  (assume a733 (forall ((V_x $$unsorted)) (= (tptp.c_NthRoot_Osqrt (tptp.c_HOL_Otimes__class_Otimes V_x V_x tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oabs__class_Oabs V_x tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a734 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Omonom V_a V_n T_a) (tptp.c_Polynomial_Omonom V_b V_n T_a) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_Polynomial_Omonom (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_n T_a)))))
% 3.06/3.31  (assume a735 (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a736 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 3.06/3.31  (assume a737 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 3.06/3.31  (assume a738 (forall ((V_i $$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)))))
% 3.06/3.31  (assume a739 (forall ((V_w $$unsorted)) (tptp.c_lessequals V_w V_w tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a740 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 3.06/3.31  (assume a741 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 3.06/3.31  (assume a742 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__div__algebra T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Osgn__class_Osgn V_x T_a) (tptp.c_HOL_Osgn__class_Osgn V_y T_a) T_a)))))
% 3.06/3.31  (assume a743 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Osgn__class_Osgn V_a T_a) (tptp.c_HOL_Osgn__class_Osgn V_b T_a) T_a)))))
% 3.06/3.31  (assume a744 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a))))
% 3.06/3.31  (assume a745 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_HOL_Ozero T_a)) (not (= (tptp.c_Polynomial_Omonom V_a V_n T_a) (tptp.c_Polynomial_Omonom V_b V_n T_a))) (= V_a V_b))))
% 3.06/3.31  (assume a746 (forall ((T_a $$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))))
% 3.06/3.31  (assume a747 (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))))
% 3.06/3.31  (assume a748 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_HOL_Ozero T_a)) (not (= (tptp.c_Polynomial_OpCons V_a V_p T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a749 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (= (tptp.c_Polynomial_Osmult V_a V_p T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)))) (= V_p (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a750 (forall ((T_a $$unsorted)) (or (not (tptp.class_HOL_Ozero T_a)) (= (tptp.c_Polynomial_OpCons (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 3.06/3.31  (assume a751 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_HOL_Ozero T_a)) (not (= (tptp.c_Polynomial_Omonom V_a V_n T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a752 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_HOL_Ozero T_a)) (= (tptp.c_Polynomial_Omonom (tptp.c_HOL_Ozero__class_Ozero T_a) V_n T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 3.06/3.31  (assume a753 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_HOL_Ozero T_a)) (= (tptp.c_Polynomial_Ocoeff (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a754 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_RealDef_Oreal__of__preal V_x) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a755 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a756 (forall ((V_x $$unsorted)) (or (= V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_x V_x tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a757 (forall ((V_r $$unsorted)) (or (= (tptp.c_HOL_Oabs__class_Oabs V_r tptp.tc_RealDef_Oreal) V_r) (tptp.c_HOL_Oord__class_Oless V_r (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a758 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1 V_x T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a759 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1 tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a760 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1 V_y T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a761 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a762 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1 V_y T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a763 (forall ((V_m $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Oreal__of__preal V_m) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a764 (forall ((V_xa $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Oreal__of__preal V_xa) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a765 (forall ((T_a $$unsorted) (V_vskULt $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1 V_vskULt V_r T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a766 (forall ((V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1 V_y) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a767 (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a768 (forall ((V_a $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1 V_a V_n) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_a tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a769 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Deriv_Osko__Deriv__Xlemma__interval__1__1 V_a V_b V_x) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_b tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_a V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a770 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osqrt V_x) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a771 (forall ((V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a772 (forall ((V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a773 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Oln V_x) (tptp.c_Transcendental_Oln V_y) 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_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a774 (forall ((V_x $$unsorted) (V_y $$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_Transcendental_Oln V_x) (tptp.c_Transcendental_Oln V_y) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a775 (forall ((V_p $$unsorted) (V_r $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1 V_p V_r) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a776 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Transcendental_Oln V_x) (tptp.c_Transcendental_Oln V_y))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)) (= V_x V_y))))
% 3.06/3.31  (assume a777 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Oln V_x) V_x tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a778 (forall ((V_n $$unsorted) (V_x $$unsorted)) (or (= (tptp.c_NthRoot_Oroot V_n V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a779 (forall ((T_a $$unsorted) (V_vskULo $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1 V_vskULo T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a780 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1 V_a V_b V_x) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_b tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_a V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a781 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Odist__class_Odist V_x V_y T_a) tptp.tc_RealDef_Oreal) (= V_x V_y))))
% 3.06/3.31  (assume a782 (forall ((T_a $$unsorted) (V_vskULr $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1 V_vskULr T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a783 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Odist__class_Odist V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a784 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1 tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a785 (forall ((V_x $$unsorted)) (or (not (= (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a786 (forall ((V_x $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a787 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (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 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a788 (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a789 (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a790 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Odist__class_Odist V_x V_x T_a) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a791 (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Oreal V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a792 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a793 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a794 (not (tptp.c_HOL_Oord__class_Oless tptp.c_Transcendental_Opi (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a795 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1 tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a796 (forall ((T_a $$unsorted) (V_vskULn $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1 V_vskULn T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a797 (forall ((V_z $$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)))))
% 3.06/3.31  (assume a798 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_x V_z tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_z tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a799 (forall ((V_x $$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)))))
% 3.06/3.31  (assume a800 (forall ((V_x $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume a801 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1 V_x T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a802 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Odist__norm T_a)) (= (tptp.c_RealVector_Odist__class_Odist V_x V_y T_a) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) T_a)))))
% 3.06/3.31  (assume a803 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a804 (forall ((V_w $$unsorted)) (= (tptp.c_Polynomial_Opoly tptp.v_q____ (tptp.c_HOL_Ominus__class_Ominus V_w tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly tptp.v_p V_w tptp.tc_Complex_Ocomplex))))
% 3.06/3.31  (assume a805 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ominus__class_Ominus V_p V_q (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly V_p V_x T_a) (tptp.c_Polynomial_Opoly V_q V_x T_a) T_a)))))
% 3.06/3.31  (assume a806 (forall ((V_x $$unsorted) (V_y $$unsorted)) (= (tptp.c_RealVector_Odist__class_Odist V_x V_y tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))
% 3.06/3.31  (assume a807 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a808 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a809 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a810 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a811 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 3.06/3.31  (assume a812 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a813 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.06/3.31  (assume a814 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a815 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.06/3.31  (assume a816 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 3.06/3.31  (assume a817 (forall ((V_x $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (assume a818 (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)))))
% 3.06/3.31  (assume a819 (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)))))
% 3.06/3.31  (assume a820 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a821 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a822 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a823 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a824 (forall ((T_a $$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)))))
% 3.06/3.31  (assume a825 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (not (tptp.c_HOL_Oord__class_Oless V_x_H V_y_H T_a)))))
% 3.06/3.31  (assume a826 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) tptp.tc_RealDef_Oreal) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a827 (forall ((T_a $$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))))
% 3.06/3.31  (assume a828 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 3.06/3.31  (assume a829 (forall ((T_a $$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))))
% 3.06/3.31  (assume a830 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 3.06/3.31  (assume a831 (forall ((T_a $$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))))
% 3.06/3.31  (assume a832 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a833 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a834 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a835 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 3.06/3.31  (assume a836 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a837 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a838 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (= (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (assume a839 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a840 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 3.06/3.31  (assume a841 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_y V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 3.06/3.31  (assume a842 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (= V_x_H V_y_H))))
% 3.06/3.31  (assume a843 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_xa V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a))) (= V_xa V_y))))
% 3.06/3.31  (assume a844 (forall ((T_a $$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))))
% 3.06/3.31  (assume a845 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a V_b))))
% 3.06/3.31  (assume a846 (forall ((T_a $$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))))
% 3.06/3.31  (assume a847 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) T_a)))))
% 3.06/3.31  (assume a848 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a849 (forall ((V_xa $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x V_xa) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_xa tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a850 (forall ((V_xa $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x V_xa) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) V_xa tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_xa tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a851 (forall ((V_xa $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x V_xa) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_xa tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (assume a852 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Ocancel__comm__monoid__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_OrderedGroup_Ocancel__comm__monoid__add T_1)))))
% 3.06/3.31  (assume a853 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Ocomm__ring__1 (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_1)))))
% 3.06/3.31  (assume a854 (tptp.class_OrderedGroup_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a855 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a856 (tptp.class_OrderedGroup_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a857 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a858 (tptp.class_OrderedGroup_Ocancel__comm__monoid__add tptp.tc_nat))
% 3.06/3.31  (assume a859 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat))
% 3.06/3.31  (assume a860 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat))
% 3.06/3.31  (assume a861 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat))
% 3.06/3.31  (assume a862 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat))
% 3.06/3.31  (assume a863 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat))
% 3.06/3.31  (assume a864 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat))
% 3.06/3.31  (assume a865 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat))
% 3.06/3.31  (assume a866 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat))
% 3.06/3.31  (assume a867 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat))
% 3.06/3.31  (assume a868 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat))
% 3.06/3.31  (assume a869 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat))
% 3.06/3.31  (assume a870 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat))
% 3.06/3.31  (assume a871 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat))
% 3.06/3.31  (assume a872 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat))
% 3.06/3.31  (assume a873 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_nat))
% 3.06/3.31  (assume a874 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat))
% 3.06/3.31  (assume a875 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat))
% 3.06/3.31  (assume a876 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat))
% 3.06/3.31  (assume a877 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat))
% 3.06/3.31  (assume a878 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat))
% 3.06/3.31  (assume a879 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat))
% 3.06/3.31  (assume a880 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat))
% 3.06/3.31  (assume a881 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat))
% 3.06/3.31  (assume a882 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat))
% 3.06/3.31  (assume a883 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat))
% 3.06/3.31  (assume a884 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat))
% 3.06/3.31  (assume a885 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat))
% 3.06/3.31  (assume a886 (tptp.class_Orderings_Opreorder tptp.tc_nat))
% 3.06/3.31  (assume a887 (tptp.class_Orderings_Olinorder tptp.tc_nat))
% 3.06/3.31  (assume a888 (tptp.class_Orderings_Oorder tptp.tc_nat))
% 3.06/3.31  (assume a889 (tptp.class_Power_Opower tptp.tc_nat))
% 3.06/3.31  (assume a890 (tptp.class_HOL_Ozero tptp.tc_nat))
% 3.06/3.31  (assume a891 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a892 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a893 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a894 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a895 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a896 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a897 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a898 (tptp.class_OrderedGroup_Opordered__ab__group__add__abs tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a899 (tptp.class_OrderedGroup_Olordered__ab__group__add__abs tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a900 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a901 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a902 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a903 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a904 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a905 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a906 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a907 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a908 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a909 (tptp.class_Ring__and__Field_Opordered__ring__abs tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a910 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a911 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a912 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a913 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a914 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a915 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a916 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a917 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a918 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a919 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a920 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a921 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a922 (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a923 (tptp.class_Ring__and__Field_Oordered__field tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a924 (tptp.class_Ring__and__Field_Olordered__ring tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a925 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a926 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a927 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a928 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a929 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a930 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a931 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a932 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a933 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a934 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a935 (tptp.class_Ring__and__Field_Ocomm__ring tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a936 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a937 (tptp.class_Ring__and__Field_Osemiring tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a938 (tptp.class_RealVector_Oreal__algebra tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a939 (tptp.class_RealVector_Ometric__space tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a940 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a941 (tptp.class_RealVector_Oreal__vector tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a942 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a943 (tptp.class_Ring__and__Field_Osgn__if tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a944 (tptp.class_Ring__and__Field_Oabs__if tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a945 (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a946 (tptp.class_Ring__and__Field_Ofield tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a947 (tptp.class_RealVector_Odist__norm tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a948 (tptp.class_Ring__and__Field_Oring tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a949 (tptp.class_Ring__and__Field_Oidom tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a950 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a951 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a952 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a953 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a954 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a955 (tptp.class_SEQ_Obanach tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a956 (tptp.class_HOL_Ozero tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume a957 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a958 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a959 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a960 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a961 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a962 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a963 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a964 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a965 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a966 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a967 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a968 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a969 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a970 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a971 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a972 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a973 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a974 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a975 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a976 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a977 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a978 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a979 (tptp.class_Ring__and__Field_Ocomm__ring tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a980 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a981 (tptp.class_Ring__and__Field_Osemiring tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a982 (tptp.class_RealVector_Oreal__algebra tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a983 (tptp.class_RealVector_Ometric__space tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a984 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a985 (tptp.class_RealVector_Oreal__vector tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a986 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a987 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a988 (tptp.class_Ring__and__Field_Ofield tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a989 (tptp.class_RealVector_Odist__norm tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a990 (tptp.class_Ring__and__Field_Oring tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a991 (tptp.class_Ring__and__Field_Oidom tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a992 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a993 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a994 (tptp.class_SEQ_Obanach tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a995 (tptp.class_HOL_Ozero tptp.tc_Complex_Ocomplex))
% 3.06/3.31  (assume a996 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a997 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a998 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a999 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Opordered__cancel__semiring (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1000 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oidom T_1)))))
% 3.06/3.31  (assume a1001 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oordered__semiring__strict (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1002 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Opordered__ab__semigroup__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1003 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Opordered__ab__group__add__abs (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1004 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Opordered__comm__monoid__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1005 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oring__no__zero__divisors (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oidom T_1)))))
% 3.06/3.31  (assume a1006 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_OrderedGroup_Ocancel__comm__monoid__add T_1)))))
% 3.06/3.31  (assume a1007 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oordered__ring__strict (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1008 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Opordered__ab__group__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1009 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Ocancel__semigroup__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_OrderedGroup_Ocancel__comm__monoid__add T_1)))))
% 3.06/3.31  (assume a1010 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Opordered__semiring (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1011 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Opordered__ring__abs (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1012 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oordered__semiring (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1013 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Ono__zero__divisors (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oidom T_1)))))
% 3.06/3.31  (assume a1014 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oordered__semidom (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1015 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Ocomm__semiring__1 (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_1)))))
% 3.06/3.31  (assume a1016 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Ocomm__semiring__0 (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_1)))))
% 3.06/3.31  (assume a1017 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Oab__semigroup__mult (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_1)))))
% 3.06/3.31  (assume a1018 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Ocomm__monoid__mult (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_1)))))
% 3.06/3.31  (assume a1019 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Oab__semigroup__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_1)))))
% 3.06/3.31  (assume a1020 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Opordered__ring (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1021 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Ocomm__semiring (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_1)))))
% 3.06/3.31  (assume a1022 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Ocomm__monoid__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_1)))))
% 3.06/3.31  (assume a1023 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Ozero__neq__one (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_1)))))
% 3.06/3.31  (assume a1024 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oordered__idom (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1025 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Omult__mono1 (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1026 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Oab__group__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_OrderedGroup_Oab__group__add T_1)))))
% 3.06/3.31  (assume a1027 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Omult__zero (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_1)))))
% 3.06/3.31  (assume a1028 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Omult__mono (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1029 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Ocomm__ring (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__ring T_1)))))
% 3.06/3.31  (assume a1030 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Omonoid__mult (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_1)))))
% 3.06/3.31  (assume a1031 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Osemiring (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_1)))))
% 3.06/3.31  (assume a1032 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Omonoid__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_1)))))
% 3.06/3.31  (assume a1033 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Ogroup__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_OrderedGroup_Oab__group__add T_1)))))
% 3.06/3.31  (assume a1034 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Osgn__if (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1035 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oabs__if (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1036 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oring (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__ring T_1)))))
% 3.06/3.31  (assume a1037 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oidom (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oidom T_1)))))
% 3.06/3.31  (assume a1038 (forall ((T_1 $$unsorted)) (or (tptp.class_Orderings_Opreorder (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1039 (forall ((T_1 $$unsorted)) (or (tptp.class_Orderings_Olinorder (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1040 (forall ((T_1 $$unsorted)) (or (tptp.class_Orderings_Oorder (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 3.06/3.31  (assume a1041 (forall ((T_1 $$unsorted)) (or (tptp.class_Int_Onumber__ring (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_1)))))
% 3.06/3.31  (assume a1042 (forall ((T_1 $$unsorted)) (or (tptp.class_Power_Opower (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_1)))))
% 3.06/3.31  (assume a1043 (forall ((T_1 $$unsorted)) (or (tptp.class_HOL_Ozero (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_HOL_Ozero T_1)))))
% 3.06/3.31  (step t1 (cl (not (= (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))))) (not (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule equiv_pos2)
% 3.06/3.31  (step t2 (cl (= (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule refl)
% 3.06/3.31  (step t3 (cl (= (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule refl)
% 3.06/3.31  (step t4 (cl (= (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule refl)
% 3.06/3.31  (step t5 (cl (= (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule refl)
% 3.06/3.31  (step t6 (cl (= (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule refl)
% 3.06/3.31  (step t7 (cl (= (= (= (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) true) (= (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule equiv_simplify)
% 3.06/3.31  (step t8 (cl (not (= (= (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) true)) (= (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule equiv1 :premises (t7))
% 3.06/3.31  (step t9 (cl (= (= (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))) :rule all_simplify)
% 3.06/3.31  (step t10 (cl (= (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule refl)
% 3.06/3.31  (step t11 (cl (= (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule all_simplify)
% 3.06/3.31  (step t12 (cl (= (= (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (= (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule cong :premises (t10 t11))
% 3.06/3.31  (step t13 (cl (= (= (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) true)) :rule all_simplify)
% 3.06/3.31  (step t14 (cl (= (= (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) true)) :rule trans :premises (t12 t13))
% 3.06/3.31  (step t15 (cl (= (= (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) true)) :rule trans :premises (t9 t14))
% 3.06/3.31  (step t16 (cl (= (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule resolution :premises (t8 t15))
% 3.06/3.31  (step t17 (cl (= (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))))) :rule refl)
% 3.06/3.31  (step t18 (cl (= (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule refl)
% 3.06/3.31  (step t19 (cl (= (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))))) :rule cong :premises (t2 t3 t4 t5 t6 t16 t17 t18))
% 3.06/3.31  (step t20 (cl (not (= (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))))) (not (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule equiv_pos2)
% 3.06/3.31  (step t21 (cl (= (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule refl)
% 3.06/3.31  (step t22 (cl (= (= (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) false) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))) :rule equiv_simplify)
% 3.06/3.31  (step t23 (cl (= (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) false) (not (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))) :rule equiv2 :premises (t22))
% 3.06/3.31  (step t24 (cl (not (not (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule not_not)
% 3.06/3.31  (step t25 (cl (= (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) false) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t23 t24))
% 3.06/3.31  (step t26 (cl (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) false) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule implies_neg1)
% 3.06/3.31  (anchor :step t27)
% 3.06/3.31  (assume t27.a0 (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))
% 3.06/3.31  (assume t27.a1 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume t27.a2 (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))
% 3.06/3.31  (assume t27.a3 (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))
% 3.06/3.31  (assume t27.a4 (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))
% 3.06/3.31  (assume t27.a5 (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume t27.a6 (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume t27.a7 (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (step t27.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 3.06/3.31  (step t27.t2 (cl (= (= false true) false)) :rule all_simplify)
% 3.06/3.31  (step t27.t3 (cl (= (= (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) false) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule equiv_simplify)
% 3.06/3.31  (step t27.t4 (cl (= (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) false) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule equiv2 :premises (t27.t3))
% 3.06/3.31  (step t27.t5 (cl (not (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) :rule not_not)
% 3.06/3.31  (step t27.t6 (cl (= (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) false) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) :rule resolution :premises (t27.t4 t27.t5))
% 3.06/3.31  (step t27.t7 (cl (= (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) false)) :rule resolution :premises (t27.t6 t27.a6))
% 3.06/3.31  (step t27.t8 (cl (= false (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule symm :premises (t27.t7))
% 3.06/3.31  (step t27.t9 (cl (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule refl)
% 3.06/3.31  (step t27.t10 (cl (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) :rule symm :premises (t27.a7))
% 3.06/3.31  (step t27.t11 (cl (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) :rule refl)
% 3.06/3.31  (step t27.t12 (cl (= tptp.tc_RealDef_Oreal tptp.tc_RealDef_Oreal)) :rule refl)
% 3.06/3.31  (step t27.t13 (cl (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule cong :premises (t27.t10 t27.t11 t27.t12))
% 3.06/3.31  (step t27.t14 (cl (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule symm :premises (t27.t13))
% 3.06/3.31  (step t27.t15 (cl (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) :rule symm :premises (t27.a5))
% 3.06/3.31  (step t27.t16 (cl (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) :rule trans :premises (t27.t13 t27.t15))
% 3.06/3.31  (step t27.t17 (cl (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) :rule symm :premises (t27.a2))
% 3.06/3.31  (step t27.t18 (cl (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule symm :premises (t27.t17))
% 3.06/3.31  (step t27.t19 (cl (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) :rule symm :premises (t27.a4))
% 3.06/3.31  (step t27.t20 (cl (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule symm :premises (t27.a3))
% 3.06/3.31  (step t27.t21 (cl (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) :rule symm :premises (t27.a0))
% 3.06/3.31  (step t27.t22 (cl (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule symm :premises (t27.t21))
% 3.06/3.31  (step t27.t23 (cl (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule trans :premises (t27.a3 t27.t22))
% 3.06/3.31  (step t27.t24 (cl (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule trans :premises (t27.t19 t27.t20 t27.t23))
% 3.06/3.31  (step t27.t25 (cl (= tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex)) :rule refl)
% 3.06/3.31  (step t27.t26 (cl (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule cong :premises (t27.t24 t27.t25))
% 3.06/3.31  (step t27.t27 (cl (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule trans :premises (t27.t18 t27.t26))
% 3.06/3.31  (step t27.t28 (cl (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule trans :premises (t27.t14 t27.t16 t27.t27))
% 3.06/3.31  (step t27.t29 (cl (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule trans :premises (t27.t19 t27.t20))
% 3.06/3.31  (step t27.t30 (cl (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule cong :premises (t27.t29 t27.t25))
% 3.06/3.31  (step t27.t31 (cl (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule trans :premises (t27.t15 t27.t18 t27.t30))
% 3.06/3.31  (step t27.t32 (cl (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal))) :rule cong :premises (t27.t28 t27.t31 t27.t12))
% 3.06/3.31  (step t27.t33 (cl (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal))) :rule trans :premises (t27.a7 t27.t32))
% 3.06/3.31  (step t27.t34 (cl (= (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule cong :premises (t27.t9 t27.t33 t27.t12))
% 3.06/3.31  (step t27.t35 (cl (= (= (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) true) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule equiv_simplify)
% 3.06/3.31  (step t27.t36 (cl (= (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) true) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule equiv2 :premises (t27.t35))
% 3.06/3.31  (step t27.t37 (cl (= (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) true)) :rule resolution :premises (t27.t36 t27.a1))
% 3.06/3.31  (step t27.t38 (cl (= false true)) :rule trans :premises (t27.t8 t27.t34 t27.t37))
% 3.06/3.31  (step t27.t39 (cl false) :rule resolution :premises (t27.t1 t27.t2 t27.t38))
% 3.06/3.31  (step t27 (cl (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) false) :rule subproof :discharge (t27.a0 t27.a1 t27.a2 t27.a3 t27.a4 t27.a5 t27.a6 t27.a7))
% 3.06/3.31  (step t28 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule and_pos)
% 3.06/3.31  (step t29 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) :rule and_pos)
% 3.06/3.31  (step t30 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule and_pos)
% 3.06/3.31  (step t31 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) :rule and_pos)
% 3.06/3.31  (step t32 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule and_pos)
% 3.06/3.31  (step t33 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule and_pos)
% 3.06/3.31  (step t34 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule and_pos)
% 3.06/3.31  (step t35 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule and_pos)
% 3.06/3.31  (step t36 (cl false (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t27 t28 t29 t30 t31 t32 t33 t34 t35))
% 3.06/3.31  (step t37 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) false) :rule reordering :premises (t36))
% 3.06/3.31  (step t38 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) false) :rule contraction :premises (t37))
% 3.06/3.31  (step t39 (cl (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) false) false) :rule resolution :premises (t26 t38))
% 3.06/3.31  (step t40 (cl (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) false) (not false)) :rule implies_neg2)
% 3.06/3.31  (step t41 (cl (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) false) (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) false)) :rule resolution :premises (t39 t40))
% 3.06/3.31  (step t42 (cl (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) false)) :rule contraction :premises (t41))
% 3.06/3.31  (step t43 (cl (= (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) false) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))) :rule implies_simplify)
% 3.06/3.31  (step t44 (cl (not (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) false)) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule equiv1 :premises (t43))
% 3.06/3.31  (step t45 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t42 t44))
% 3.06/3.31  (step t46 (cl (= (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) false)) :rule resolution :premises (t25 t45))
% 3.06/3.31  (step t47 (cl (= (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) false))) :rule cong :premises (t21 t46))
% 3.06/3.31  (step t48 (cl (= (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) false) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))))) :rule all_simplify)
% 3.06/3.31  (step t49 (cl (= (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))))) :rule trans :premises (t47 t48))
% 3.06/3.31  (step t50 (cl (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule implies_neg1)
% 3.06/3.31  (anchor :step t51)
% 3.06/3.31  (assume t51.a0 (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume t51.a1 (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume t51.a2 (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))
% 3.06/3.31  (assume t51.a3 (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))
% 3.06/3.31  (assume t51.a4 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))
% 3.06/3.31  (assume t51.a5 (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 3.06/3.31  (assume t51.a6 (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))
% 3.06/3.31  (assume t51.a7 (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))
% 3.06/3.31  (step t51.t1 (cl (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule and_neg)
% 3.06/3.31  (step t51.t2 (cl (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t51.t1 t51.a7 t51.a4 t51.a3 t51.a6 t51.a2 t51.a1 t51.a5 t51.a0))
% 3.06/3.31  (step t51 (cl (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule subproof :discharge (t51.a0 t51.a1 t51.a2 t51.a3 t51.a4 t51.a5 t51.a6 t51.a7))
% 3.06/3.31  (step t52 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule and_pos)
% 3.06/3.31  (step t53 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule and_pos)
% 3.06/3.31  (step t54 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule and_pos)
% 3.06/3.31  (step t55 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule and_pos)
% 3.06/3.31  (step t56 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) :rule and_pos)
% 3.06/3.31  (step t57 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule and_pos)
% 3.06/3.31  (step t58 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) :rule and_pos)
% 3.06/3.31  (step t59 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule and_pos)
% 3.06/3.31  (step t60 (cl (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t51 t52 t53 t54 t55 t56 t57 t58 t59))
% 3.06/3.31  (step t61 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule reordering :premises (t60))
% 3.06/3.31  (step t62 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule contraction :premises (t61))
% 3.06/3.31  (step t63 (cl (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t50 t62))
% 3.06/3.31  (step t64 (cl (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule implies_neg2)
% 3.06/3.31  (step t65 (cl (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t63 t64))
% 3.06/3.31  (step t66 (cl (=> (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule contraction :premises (t65))
% 3.06/3.31  (step t67 (cl (not (and (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t20 t49 t66))
% 3.06/3.31  (step t68 (cl (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule not_and :premises (t67))
% 3.06/3.31  (step t69 (cl (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule or_neg)
% 3.06/3.31  (step t70 (cl (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule or_neg)
% 3.06/3.31  (step t71 (cl (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule or_neg)
% 3.06/3.31  (step t72 (cl (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule or_neg)
% 3.06/3.31  (step t73 (cl (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule or_neg)
% 3.06/3.31  (step t74 (cl (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule or_neg)
% 3.06/3.31  (step t75 (cl (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))))) :rule or_neg)
% 3.06/3.31  (step t76 (cl (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule or_neg)
% 3.06/3.31  (step t77 (cl (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t68 t69 t70 t71 t72 t73 t74 t75 t76))
% 3.06/3.31  (step t78 (cl (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule contraction :premises (t77))
% 3.06/3.31  (step t79 (cl (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t1 t19 t78))
% 3.06/3.31  (step t80 (cl (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule or :premises (t79))
% 3.06/3.31  (step t81 (cl (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule reordering :premises (t80))
% 3.06/3.31  (step t82 (cl (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule or_pos)
% 3.06/3.31  (step t83 (cl (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule reordering :premises (t82))
% 3.06/3.31  (step t84 (cl (not (= (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))))) (not (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))))) (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule equiv_pos2)
% 3.06/3.31  (step t85 (cl (= (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))) :rule refl)
% 3.06/3.31  (step t86 (cl (= (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)))) :rule refl)
% 3.06/3.31  (step t87 (cl (= (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule all_simplify)
% 3.06/3.31  (step t88 (cl (= (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule cong :premises (t86 t87))
% 3.06/3.31  (step t89 (cl (= (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))))) :rule cong :premises (t85 t88))
% 3.06/3.31  (step t90 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))) :rule implies_neg1)
% 3.06/3.31  (anchor :step t91)
% 3.06/3.31  (assume t91.a0 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (step t91.t1 (cl (or (not (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))))) :rule forall_inst :args ((:= T_a tptp.tc_Complex_Ocomplex) (:= V_x (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex))))
% 3.06/3.31  (step t91.t2 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) :rule or :premises (t91.t1))
% 3.06/3.31  (step t91.t3 (cl (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t91.t2 t91.a0))
% 3.06/3.31  (step t91 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) :rule subproof :discharge (t91.a0))
% 3.06/3.31  (step t92 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t90 t91))
% 3.06/3.31  (step t93 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))))) :rule implies_neg2)
% 3.06/3.31  (step t94 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t92 t93))
% 3.06/3.31  (step t95 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))))) :rule contraction :premises (t94))
% 3.06/3.31  (step t96 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t84 t89 t95))
% 3.06/3.31  (step t97 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule implies :premises (t96))
% 3.06/3.31  (step t98 (cl (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t97 a821))
% 3.06/3.31  (step t99 (cl (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule resolution :premises (t83 a966 t98))
% 3.06/3.31  (step t100 (cl (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) :rule or_pos)
% 3.06/3.31  (step t101 (cl (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))))) :rule reordering :premises (t100))
% 3.06/3.31  (step t102 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))) :rule implies_neg1)
% 3.06/3.31  (anchor :step t103)
% 3.06/3.31  (assume t103.a0 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.06/3.31  (step t103.t1 (cl (or (not (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))))) :rule forall_inst :args ((:= T_a tptp.tc_Complex_Ocomplex) (:= V_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex))))
% 3.06/3.31  (step t103.t2 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) :rule or :premises (t103.t1))
% 3.06/3.31  (step t103.t3 (cl (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t103.t2 t103.a0))
% 3.06/3.31  (step t103 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) :rule subproof :discharge (t103.a0))
% 3.06/3.31  (step t104 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t102 t103))
% 3.06/3.31  (step t105 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))))) :rule implies_neg2)
% 3.06/3.31  (step t106 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t104 t105))
% 3.06/3.31  (step t107 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))))) :rule contraction :premises (t106))
% 3.06/3.31  (step t108 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) :rule implies :premises (t107))
% 3.06/3.31  (step t109 (cl (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t108 a821))
% 3.06/3.31  (step t110 (cl (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex))) :rule resolution :premises (t101 a966 t109))
% 3.06/3.31  (step t111 (cl (not (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule or_pos)
% 3.06/3.31  (step t112 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule reordering :premises (t111))
% 3.06/3.31  (step t113 (cl (not (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal))) :rule or_pos)
% 3.06/3.31  (step t114 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal))))) :rule reordering :premises (t113))
% 3.06/3.31  (step t115 (cl (=> (forall ((V_xa $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x V_xa) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_xa tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)))) (forall ((V_xa $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x V_xa) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_xa tptp.tc_RealDef_Oreal))))) :rule implies_neg1)
% 3.06/3.31  (anchor :step t116)
% 3.06/3.31  (assume t116.a0 (forall ((V_xa $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x V_xa) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_xa tptp.tc_RealDef_Oreal)))))
% 3.06/3.31  (step t116.t1 (cl (or (not (forall ((V_xa $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x V_xa) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_xa tptp.tc_RealDef_Oreal))))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal))))) :rule forall_inst :args ((:= V_xa tptp.v_e)))
% 3.06/3.31  (step t116.t2 (cl (not (forall ((V_xa $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x V_xa) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_xa tptp.tc_RealDef_Oreal))))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)))) :rule or :premises (t116.t1))
% 3.06/3.31  (step t116.t3 (cl (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t116.t2 t116.a0))
% 3.06/3.31  (step t116 (cl (not (forall ((V_xa $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x V_xa) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_xa tptp.tc_RealDef_Oreal))))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)))) :rule subproof :discharge (t116.a0))
% 3.06/3.31  (step t117 (cl (=> (forall ((V_xa $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x V_xa) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_xa tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t115 t116))
% 3.06/3.31  (step t118 (cl (=> (forall ((V_xa $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x V_xa) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_xa tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)))) (not (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal))))) :rule implies_neg2)
% 3.06/3.31  (step t119 (cl (=> (forall ((V_xa $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x V_xa) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_xa tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)))) (=> (forall ((V_xa $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x V_xa) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_xa tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t117 t118))
% 3.06/3.31  (step t120 (cl (=> (forall ((V_xa $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x V_xa) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_xa tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal))))) :rule contraction :premises (t119))
% 3.06/3.31  (step t121 (cl (not (forall ((V_xa $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x V_xa) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_xa tptp.tc_RealDef_Oreal))))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)))) :rule implies :premises (t120))
% 3.06/3.31  (step t122 (cl (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t121 a851))
% 3.06/3.31  (step t123 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal))) :rule resolution :premises (t114 a848 t122))
% 3.06/3.31  (step t124 (cl (=> (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)))) (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (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))))) :rule implies_neg1)
% 3.06/3.31  (anchor :step t125)
% 3.06/3.31  (assume t125.a0 (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)))))
% 3.06/3.31  (step t125.t1 (cl (or (not (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))))) (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule forall_inst :args ((:= T_a tptp.tc_RealDef_Oreal) (:= V_x (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (:= V_z tptp.v_e) (:= V_y (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (step t125.t2 (cl (not (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))))) (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule or :premises (t125.t1))
% 3.06/3.31  (step t125.t3 (cl (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t125.t2 t125.a0))
% 3.06/3.31  (step t125 (cl (not (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))))) (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule subproof :discharge (t125.a0))
% 3.06/3.31  (step t126 (cl (=> (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)))) (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t124 t125))
% 3.06/3.31  (step t127 (cl (=> (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)))) (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule implies_neg2)
% 3.06/3.31  (step t128 (cl (=> (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)))) (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (=> (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)))) (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t126 t127))
% 3.06/3.31  (step t129 (cl (=> (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)))) (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule contraction :premises (t128))
% 3.06/3.31  (step t130 (cl (not (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))))) (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule implies :premises (t129))
% 3.06/3.31  (step t131 (cl (or (not (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_e tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t130 a478))
% 3.06/3.31  (step t132 (cl (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule resolution :premises (t112 a848 a950 t123 t131))
% 3.06/3.31  (step t133 (cl (not (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) :rule or_pos)
% 3.06/3.31  (step t134 (cl (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule reordering :premises (t133))
% 3.06/3.31  (step t135 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule implies_neg1)
% 3.06/3.31  (anchor :step t136)
% 3.06/3.31  (assume t136.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.06/3.31  (step t136.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule forall_inst :args ((:= T_a tptp.tc_Complex_Ocomplex) (:= V_a (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (:= V_b (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))
% 3.06/3.31  (step t136.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule or :premises (t136.t1))
% 3.06/3.31  (step t136.t3 (cl (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule resolution :premises (t136.t2 t136.a0))
% 3.06/3.31  (step t136 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule subproof :discharge (t136.a0))
% 3.06/3.32  (step t137 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule resolution :premises (t135 t136))
% 3.06/3.32  (step t138 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule implies_neg2)
% 3.06/3.32  (step t139 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t137 t138))
% 3.06/3.32  (step t140 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule contraction :premises (t139))
% 3.06/3.32  (step t141 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) (tptp.c_RealVector_Onorm__class_Onorm V_b T_a) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule implies :premises (t140))
% 3.06/3.32  (step t142 (cl (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule resolution :premises (t141 a402))
% 3.06/3.32  (step t143 (cl (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP tptp.v_x tptp.v_e) tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) :rule resolution :premises (t134 a969 t142))
% 3.06/3.32  (step t144 (cl (not (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule or_pos)
% 3.06/3.32  (step t145 (cl (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (not (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule reordering :premises (t144))
% 3.06/3.32  (step t146 (cl (=> (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a))))) :rule implies_neg1)
% 3.06/3.32  (anchor :step t147)
% 3.06/3.32  (assume t147.a0 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a)))))
% 3.06/3.32  (step t147.t1 (cl (or (not (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a))))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule forall_inst :args ((:= T_a tptp.tc_Complex_Ocomplex)))
% 3.06/3.32  (step t147.t2 (cl (not (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a))))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule or :premises (t147.t1))
% 3.06/3.32  (step t147.t3 (cl (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t147.t2 t147.a0))
% 3.06/3.32  (step t147 (cl (not (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a))))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule subproof :discharge (t147.a0))
% 3.06/3.32  (step t148 (cl (=> (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t146 t147))
% 3.12/3.32  (step t149 (cl (=> (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule implies_neg2)
% 3.12/3.32  (step t150 (cl (=> (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (=> (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t148 t149))
% 3.12/3.32  (step t151 (cl (=> (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule contraction :premises (t150))
% 3.12/3.32  (step t152 (cl (not (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a))))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule implies :premises (t151))
% 3.12/3.32  (step t153 (cl (not (= (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))) (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a)))))) (not (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))))) (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a))))) :rule equiv_pos2)
% 3.12/3.32  (anchor :step t154 :args ((T_a $$unsorted) (:= T_a T_a)))
% 3.12/3.32  (step t154.t1 (cl (= T_a T_a)) :rule refl)
% 3.12/3.32  (step t154.t2 (cl (= (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__normed__vector T_a)))) :rule refl)
% 3.12/3.32  (step t154.t3 (cl (= (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a)))) :rule all_simplify)
% 3.12/3.32  (step t154.t4 (cl (= (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a))))) :rule cong :premises (t154.t2 t154.t3))
% 3.12/3.32  (step t154 (cl (= (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))) (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a)))))) :rule bind)
% 3.12/3.32  (step t155 (cl (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a))))) :rule resolution :premises (t153 t154 a807))
% 3.12/3.32  (step t156 (cl (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t152 t155))
% 3.12/3.32  (step t157 (cl (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule resolution :premises (t145 a969 t156))
% 3.12/3.32  (step t158 (cl (not (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule or_pos)
% 3.12/3.32  (step t159 (cl (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) (not (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule reordering :premises (t158))
% 3.12/3.32  (step t160 (cl (=> (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))) :rule implies_neg1)
% 3.12/3.32  (anchor :step t161)
% 3.12/3.32  (assume t161.a0 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.12/3.32  (step t161.t1 (cl (or (not (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule forall_inst :args ((:= T_a tptp.tc_Complex_Ocomplex)))
% 3.12/3.32  (step t161.t2 (cl (not (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule or :premises (t161.t1))
% 3.12/3.32  (step t161.t3 (cl (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t161.t2 t161.a0))
% 3.12/3.32  (step t161 (cl (not (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule subproof :discharge (t161.a0))
% 3.12/3.32  (step t162 (cl (=> (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t160 t161))
% 3.12/3.32  (step t163 (cl (=> (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (not (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule implies_neg2)
% 3.12/3.32  (step t164 (cl (=> (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) (=> (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t162 t163))
% 3.12/3.32  (step t165 (cl (=> (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))))) :rule contraction :premises (t164))
% 3.12/3.32  (step t166 (cl (not (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))) (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule implies :premises (t165))
% 3.12/3.32  (step t167 (cl (not (= (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))) (not (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))) (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))) :rule equiv_pos2)
% 3.12/3.32  (anchor :step t168 :args ((T_a $$unsorted) (:= T_a T_a)))
% 3.12/3.32  (step t168.t1 (cl (= T_a T_a)) :rule refl)
% 3.12/3.32  (step t168.t2 (cl (= (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__normed__vector T_a)))) :rule refl)
% 3.12/3.32  (step t168.t3 (cl (= (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) :rule all_simplify)
% 3.12/3.32  (step t168.t4 (cl (= (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))) :rule cong :premises (t168.t2 t168.t3))
% 3.12/3.32  (step t168 (cl (= (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))) :rule bind)
% 3.12/3.32  (step t169 (cl (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))) :rule resolution :premises (t167 t168 a514))
% 3.12/3.32  (step t170 (cl (or (not (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) :rule resolution :premises (t166 t169))
% 3.12/3.32  (step t171 (cl (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex))) :rule resolution :premises (t159 a969 t170))
% 3.12/3.32  (step t172 (cl (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule or_pos)
% 3.12/3.32  (step t173 (cl (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule reordering :premises (t172))
% 3.12/3.32  (step t174 (cl (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule symm :premises (a323))
% 3.12/3.32  (step t175 (cl (not (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))) (not (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule equiv_pos2)
% 3.12/3.32  (step t176 (cl (= (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))) :rule refl)
% 3.12/3.32  (step t177 (cl (= (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)))) :rule refl)
% 3.12/3.32  (step t178 (cl (= (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule refl)
% 3.12/3.32  (step t179 (cl (= (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule all_simplify)
% 3.12/3.32  (step t180 (cl (= (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule cong :premises (t177 t178 t179))
% 3.12/3.32  (step t181 (cl (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))) :rule cong :premises (t176 t180))
% 3.12/3.32  (step t182 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) :rule implies_neg1)
% 3.12/3.32  (anchor :step t183)
% 3.12/3.32  (assume t183.a0 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.12/3.32  (step t183.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))))) :rule forall_inst :args ((:= T_a tptp.tc_RealDef_Oreal) (:= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 3.12/3.32  (step t183.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))) :rule or :premises (t183.t1))
% 3.12/3.32  (step t183.t3 (cl (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t183.t2 t183.a0))
% 3.12/3.32  (step t183 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))) :rule subproof :discharge (t183.a0))
% 3.12/3.32  (step t184 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t182 t183))
% 3.12/3.32  (step t185 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))) (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))))) :rule implies_neg2)
% 3.12/3.32  (step t186 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t184 t185))
% 3.12/3.32  (step t187 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))))) :rule contraction :premises (t186))
% 3.12/3.32  (step t188 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t175 t181 t187))
% 3.12/3.32  (step t189 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule implies :premises (t188))
% 3.12/3.32  (step t190 (cl (not (= (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))) (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) :rule equiv_pos2)
% 3.12/3.32  (anchor :step t191 :args ((T_a $$unsorted) (:= T_a T_a) (V_a $$unsorted) (:= V_a V_a)))
% 3.12/3.32  (step t191.t1 (cl (= T_a T_a)) :rule refl)
% 3.12/3.32  (step t191.t2 (cl (= V_a V_a)) :rule refl)
% 3.12/3.32  (step t191.t3 (cl (= (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)))) :rule refl)
% 3.12/3.32  (step t191.t4 (cl (= (= (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a)))) :rule all_simplify)
% 3.12/3.32  (step t191.t5 (cl (= (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))))) :rule cong :premises (t191.t4))
% 3.12/3.32  (step t191.t6 (cl (= (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) :rule refl)
% 3.12/3.32  (step t191.t7 (cl (= (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) :rule cong :premises (t191.t3 t191.t5 t191.t6))
% 3.12/3.32  (step t191 (cl (= (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))) :rule bind)
% 3.12/3.32  (step t192 (cl (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) :rule resolution :premises (t190 t191 a184))
% 3.12/3.32  (step t193 (cl (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t189 t192))
% 3.12/3.32  (step t194 (cl (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule resolution :premises (t173 t174 a906 t193))
% 3.12/3.32  (step t195 (cl (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) :rule symm :premises (a323))
% 3.12/3.32  (step t196 (cl) :rule resolution :premises (t81 t99 t110 t132 t143 t157 t171 t194 t195))
% 3.12/3.32  
% 3.12/3.33  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.FpeSTm196A/cvc5---1.0.5_11568.smt2
% 3.12/3.33  % cvc5---1.0.5 exiting
% 3.12/3.34  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------