%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ALG434-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n013.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 16:31:32 EDT 2024

% Result   : Unsatisfiable 0.49s 0.81s
% Output   : Proof 0.49s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17  % Problem    : ALG434-1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.18  % Command    : do_cvc5 %s %d
% 0.18/0.39  % Computer : n013.cluster.edu
% 0.18/0.39  % Model    : x86_64 x86_64
% 0.18/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39  % Memory   : 8042.1875MB
% 0.18/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39  % CPULimit   : 300
% 0.18/0.39  % WCLimit    : 300
% 0.18/0.39  % DateTime   : Sun May 26 09:10:39 EDT 2024
% 0.18/0.39  % CPUTime    : 
% 0.49/0.64  %----Proving TF0_NAR, FOF, or CNF
% 0.49/0.65  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.49/0.81  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.fiw2y3ZSJZ/cvc5---1.0.5_23884.smt2
% 0.49/0.81  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.fiw2y3ZSJZ/cvc5---1.0.5_23884.smt2
% 0.49/0.82  (assume a0 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_c $$unsorted) (V_q $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_p (tptp.c_Polynomial_Osmult V_c V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_Polynomial_OpCons V_r V_q T_a))) (= V_r (tptp.c_Polynomial_Opoly V_p V_c T_a)))))
% 0.49/0.82  (assume a1 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_Polynomial_OpCons V_a V_p T_a) V_x T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_Polynomial_Opoly V_p V_x T_a) T_a) T_a)))))
% 0.49/0.82  (assume a2 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a3 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a4 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_Polynomial_Osmult V_a V_p T_a) V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Polynomial_Opoly V_p V_x T_a) T_a)))))
% 0.49/0.82  (assume a5 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Otimes__class_Otimes V_p V_q (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Polynomial_Opoly V_p V_x T_a) (tptp.c_Polynomial_Opoly V_q V_x T_a) T_a)))))
% 0.49/0.82  (assume a6 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Oplus__class_Oplus V_p V_q (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Polynomial_Opoly V_p V_x T_a) (tptp.c_Polynomial_Opoly V_q V_x T_a) T_a)))))
% 0.49/0.82  (assume a7 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T_a)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Ouminus__class_Ouminus V_p (tptp.tc_Polynomial_Opoly T_a)) V_x T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Polynomial_Opoly V_p V_x T_a) T_a)))))
% 0.49/0.82  (assume a8 (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)))))
% 0.49/0.82  (assume a9 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_b $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_OpCons V_a V_p T_a) (tptp.c_Polynomial_OpCons V_b V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_Polynomial_OpCons (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ominus__class_Ominus V_p V_q (tptp.tc_Polynomial_Opoly T_a)) T_a)))))
% 0.49/0.82  (assume a10 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Polynomial_OpCons V_a V_p T_a) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_Polynomial_OpCons (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_p (tptp.tc_Polynomial_Opoly T_a)) T_a)))))
% 0.49/0.82  (assume a11 (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))))))
% 0.49/0.82  (assume a12 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_b $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Polynomial_OpCons V_a V_p T_a) (tptp.c_Polynomial_OpCons V_b V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_Polynomial_OpCons (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_p V_q (tptp.tc_Polynomial_Opoly T_a)) T_a)))))
% 0.49/0.82  (assume a13 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Osmult V_a (tptp.c_Polynomial_OpCons V_b V_p T_a) T_a) (tptp.c_Polynomial_OpCons (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_Polynomial_Osmult V_a V_p T_a) T_a)))))
% 0.49/0.82  (assume a14 (forall ((T_a $$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)))))
% 0.49/0.82  (assume a15 (forall ((T_a $$unsorted)) (or (not (tptp.class_HOL_Ozero T_a)) (= (tptp.c_Polynomial_OpCons (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.82  (assume a16 (forall ((T_a $$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))))))
% 0.49/0.82  (assume a17 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_b $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_HOL_Ozero T_a)) (not (= (tptp.c_Polynomial_OpCons V_a V_p T_a) (tptp.c_Polynomial_OpCons V_b V_q T_a))) (= V_a V_b))))
% 0.49/0.82  (assume a18 (forall ((T_a $$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))))
% 0.49/0.82  (assume a19 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (= (tptp.c_Polynomial_Opoly V_p V_c T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Polynomial_OpCons (tptp.c_HOL_Ouminus__class_Ouminus V_c T_a) (tptp.c_Polynomial_OpCons (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a) T_a) V_p (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.82  (assume a20 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (= (tptp.c_Polynomial_Opoly V_p V_c T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Polynomial_OpCons (tptp.c_HOL_Ouminus__class_Ouminus V_c T_a) (tptp.c_Polynomial_OpCons (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a) T_a) V_p (tptp.tc_Polynomial_Opoly T_a)))))
% 0.49/0.82  (assume a21 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (= (tptp.c_Polynomial_Opoly V_p (tptp.c_HOL_Ouminus__class_Ouminus V_c T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Polynomial_OpCons V_c (tptp.c_Polynomial_OpCons (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a) T_a) V_p (tptp.tc_Polynomial_Opoly T_a)))))
% 0.49/0.82  (assume a22 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (= (tptp.c_Polynomial_Opoly V_p (tptp.c_HOL_Ouminus__class_Ouminus V_c T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Polynomial_OpCons V_c (tptp.c_Polynomial_OpCons (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a) T_a) V_p (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.82  (assume a23 (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_HOL_Oplus__class_Oplus (tptp.c_Polynomial_Osmult V_c V_p T_a) (tptp.c_Polynomial_OpCons V_a V_p T_a) (tptp.tc_Polynomial_Opoly 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))))))
% 0.49/0.82  (assume a24 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a25 (forall ((T_a $$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)))))
% 0.49/0.82  (assume a26 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (= (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 0.49/0.82  (assume a27 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) V_b T_a) V_a) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a28 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_b T_a) V_a) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a29 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a30 (forall ((T_a $$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)))))
% 0.49/0.82  (assume a31 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_ly (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) T_a)))))
% 0.49/0.82  (assume a32 (forall ((T_a $$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)))))
% 0.49/0.82  (assume a33 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a))) (= V_a V_b))))
% 0.49/0.82  (assume a34 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (not (= (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))) (= V_x V_y))))
% 0.49/0.82  (assume a35 (forall ((T_a $$unsorted) (V_q1 $$unsorted) (V_q2 $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_r2 $$unsorted) (V_r1 $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_q1 V_q2) (not (tptp.c_Polynomial_Opdivmod__rel V_x V_y V_q2 V_r2 T_a)) (not (tptp.c_Polynomial_Opdivmod__rel V_x V_y V_q1 V_r1 T_a)))))
% 0.49/0.82  (assume a36 (forall ((T_a $$unsorted) (V_r1 $$unsorted) (V_r2 $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_q2 $$unsorted) (V_q1 $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_r1 V_r2) (not (tptp.c_Polynomial_Opdivmod__rel V_x V_y V_q2 V_r2 T_a)) (not (tptp.c_Polynomial_Opdivmod__rel V_x V_y V_q1 V_r1 T_a)))))
% 0.49/0.82  (assume a37 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) T_a))))
% 0.49/0.82  (assume a38 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a))))
% 0.49/0.82  (assume a39 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Polynomial_Opoly__gcd (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.82  (assume a40 (forall ((T_a $$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)))))
% 0.49/0.82  (assume a41 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a)))))
% 0.49/0.82  (assume a42 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 0.49/0.82  (assume a43 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a)))))
% 0.49/0.82  (assume a44 (forall ((T_a $$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)))))
% 0.49/0.82  (assume a45 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a46 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Odiv V_x V_y T_a) (tptp.c_Divides_Odiv__class_Odiv V_w V_z T_a) T_a) (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes V_x V_w T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_z T_a) T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_z V_w T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_x T_a)))))
% 0.49/0.82  (assume a47 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_x $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_r V_x) (not (tptp.c_Polynomial_Opdivmod__rel V_x (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_q V_r T_a)))))
% 0.49/0.82  (assume a48 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a49 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 0.49/0.82  (assume a50 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 0.49/0.82  (assume a51 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) T_a) V_b))))
% 0.49/0.82  (assume a52 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Divides_Odiv__class_Omod V_x (tptp.c_HOL_Otimes__class_Otimes V_y V_z (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_y (tptp.c_Divides_Odiv__class_Omod (tptp.c_Divides_Odiv__class_Odiv V_x V_y (tptp.tc_Polynomial_Opoly T_a)) V_z (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_Divides_Odiv__class_Omod V_x V_y (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.82  (assume a53 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_r $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_r V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_r V_d T_a) T_a))) (= V_c V_d) (= V_r (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a54 (forall ((T_a $$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)))))
% 0.49/0.82  (assume a55 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a56 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) V_x))))
% 0.49/0.82  (assume a57 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_q $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.c_Polynomial_Opdivmod__rel V_x (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_q V_r T_a)) (= V_q (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.82  (assume a58 (forall ((T_a $$unsorted) (V_q $$unsorted) (V_y $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_q (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))) (not (tptp.c_Polynomial_Opdivmod__rel (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_y V_q V_r T_a)))))
% 0.49/0.82  (assume a59 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_y $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_r (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))) (not (tptp.c_Polynomial_Opdivmod__rel (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_y V_q V_r T_a)))))
% 0.49/0.82  (assume a60 (forall ((T_a $$unsorted) (V_q $$unsorted) (V_x $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_q (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))) (not (tptp.c_Polynomial_Opdivmod__rel V_x (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_q V_r T_a)))))
% 0.49/0.82  (assume a61 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) V_q T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower V_x V_q T_a) (tptp.c_Power_Opower__class_Opower V_y V_q T_a) T_a)))))
% 0.49/0.82  (assume a62 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_n T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a)))))
% 0.49/0.82  (assume a63 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a)))))
% 0.49/0.82  (assume a64 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a)))))
% 0.49/0.82  (assume a65 (forall ((T_a $$unsorted) (V_d $$unsorted) (V_x $$unsorted) (V_k $$unsorted) (V_D $$unsorted) (V_t $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odvd T_a)) (not (tptp.class_Ring__and__Field_Ocomm__ring T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_d (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_x (tptp.c_HOL_Otimes__class_Otimes V_k V_D T_a) T_a) V_t T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_d (tptp.c_HOL_Oplus__class_Oplus V_x V_t T_a) T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_d V_D T_a)))))
% 0.49/0.82  (assume a66 (forall ((T_a $$unsorted) (V_d $$unsorted) (V_x $$unsorted) (V_t $$unsorted) (V_k $$unsorted) (V_D $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odvd T_a)) (not (tptp.class_Ring__and__Field_Ocomm__ring T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_d (tptp.c_HOL_Oplus__class_Oplus V_x V_t T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_d (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_x (tptp.c_HOL_Otimes__class_Otimes V_k V_D T_a) T_a) V_t T_a) T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_d V_D T_a)))))
% 0.49/0.82  (assume a67 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= V_a (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) T_a)))))
% 0.49/0.82  (assume a68 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) T_a) V_a))))
% 0.49/0.82  (assume a69 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a) T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) T_a) V_a))))
% 0.49/0.82  (assume a70 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_x T_a)))))
% 0.49/0.82  (assume a71 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv V_x (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Divides_Odiv__class_Odiv V_x V_y T_a) T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_x T_a)))))
% 0.49/0.82  (assume a72 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) V_y T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Divides_Odiv__class_Odiv V_x V_y T_a) T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_x T_a)))))
% 0.49/0.82  (assume a73 (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)))))
% 0.49/0.82  (assume a74 (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)))))
% 0.49/0.82  (assume a75 (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)))))
% 0.49/0.82  (assume a76 (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)))))
% 0.49/0.82  (assume a77 (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)))))
% 0.49/0.82  (assume a78 (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)))))
% 0.49/0.82  (assume a79 (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)))))
% 0.49/0.82  (assume a80 (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)))))
% 0.49/0.82  (assume a81 (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)))))
% 0.49/0.82  (assume a82 (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)))))
% 0.49/0.82  (assume a83 (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)))))
% 0.49/0.82  (assume a84 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_p V_q (tptp.tc_Polynomial_Opoly T_a)) V_r (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_p V_r (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Otimes__class_Otimes V_q V_r (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.82  (assume a85 (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)))))
% 0.49/0.82  (assume a86 (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)))))
% 0.49/0.82  (assume a87 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) T_a)))))
% 0.49/0.82  (assume a88 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_Polynomial_Opoly__gcd V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)))) (= V_x (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.82  (assume a89 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_Polynomial_Opoly__gcd V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)))) (= V_y (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.82  (assume a90 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a91 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a) V_b T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a92 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_b T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a93 (forall ((T_a $$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)))))
% 0.49/0.82  (assume a94 (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)))))
% 0.49/0.82  (assume a95 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 0.49/0.82  (assume a96 (forall ((T_a $$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_HOL_Ouminus__class_Ouminus V_x T_a) V_y T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a)))))
% 0.49/0.82  (assume a97 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 0.49/0.82  (assume a98 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_xa (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Otimes__class_Otimes V_xa V_x T_a) T_a)))))
% 0.49/0.82  (assume a99 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_b T_a)))))
% 0.49/0.82  (assume a100 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a)))))
% 0.49/0.82  (assume a101 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a102 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a103 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) T_a) V_b T_a)))))
% 0.49/0.82  (assume a104 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)))))
% 0.49/0.82  (assume a105 (forall ((T_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_q (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ouminus__class_Ouminus V_q (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.82  (assume a106 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Polynomial_OpCons V_a V_p T_a) V_q (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.c_Polynomial_OpCons (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_p V_q (tptp.tc_Polynomial_Opoly T_a)) T_a) (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.82  (assume a107 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_p (tptp.c_Polynomial_OpCons V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Polynomial_Osmult V_a V_p T_a) (tptp.c_Polynomial_OpCons (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_p V_q (tptp.tc_Polynomial_Opoly T_a)) T_a) (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.82  (assume a108 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a109 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a110 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a111 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a112 (forall ((T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_p (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a)) V_p))))
% 0.49/0.82  (assume a113 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a114 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a115 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 0.49/0.82  (assume a116 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a117 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a118 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_b T_a))) (= V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)) (= V_a V_b))))
% 0.49/0.82  (assume a119 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a120 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oone__class_Oone T_a) V_n T_a) T_a))))
% 0.49/0.82  (assume a121 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_q $$unsorted) (V_y $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_x (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_q V_y (tptp.tc_Polynomial_Opoly T_a)) V_r (tptp.tc_Polynomial_Opoly T_a))) (not (tptp.c_Polynomial_Opdivmod__rel V_x V_y V_q V_r T_a)))))
% 0.49/0.82  (assume a122 (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 (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_p T_a) (tptp.c_HOL_Oplus__class_Oplus (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))))))
% 0.49/0.82  (assume a123 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a)))))
% 0.49/0.82  (assume a124 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) V_z T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Divides_Odiv__class_Odiv V_x V_z T_a) (tptp.c_Divides_Odiv__class_Odiv V_y V_z T_a) T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_z V_y T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_z V_x T_a)))))
% 0.49/0.82  (assume a125 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a)))))
% 0.49/0.82  (assume a126 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_a))))
% 0.49/0.82  (assume a127 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))))
% 0.49/0.82  (assume a128 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))))
% 0.49/0.82  (assume a129 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a) V_x))))
% 0.49/0.82  (assume a130 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_a))))
% 0.49/0.82  (assume a131 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))))
% 0.49/0.82  (assume a132 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Polynomial_Opdivmod__rel V_x V_y (tptp.c_Divides_Odiv__class_Odiv V_x V_y (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_Divides_Odiv__class_Omod V_x V_y (tptp.tc_Polynomial_Opoly T_a)) T_a))))
% 0.49/0.82  (assume a133 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a134 (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)))))
% 0.49/0.82  (assume a135 (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)))))
% 0.49/0.82  (assume a136 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Polynomial_Opoly__gcd V_x (tptp.c_Polynomial_Opoly__gcd V_y V_z T_a) T_a) (tptp.c_Polynomial_Opoly__gcd V_y (tptp.c_Polynomial_Opoly__gcd V_x V_z T_a) T_a)))))
% 0.49/0.82  (assume a137 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Polynomial_Opoly__gcd (tptp.c_Polynomial_Opoly__gcd V_x V_y T_a) V_z T_a) (tptp.c_Polynomial_Opoly__gcd V_x (tptp.c_Polynomial_Opoly__gcd V_y V_z T_a) T_a)))))
% 0.49/0.82  (assume a138 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_b T_a) V_a))))
% 0.49/0.82  (assume a139 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Polynomial_Opoly__gcd V_x (tptp.c_HOL_Ouminus__class_Ouminus V_y (tptp.tc_Polynomial_Opoly T_a)) T_a) (tptp.c_Polynomial_Opoly__gcd V_x V_y T_a)))))
% 0.49/0.82  (assume a140 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Polynomial_Opoly__gcd (tptp.c_HOL_Ouminus__class_Ouminus V_x (tptp.tc_Polynomial_Opoly T_a)) V_y T_a) (tptp.c_Polynomial_Opoly__gcd V_x V_y T_a)))))
% 0.49/0.82  (assume a141 (forall ((T_a $$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)))))
% 0.49/0.82  (assume a142 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a143 (forall ((T_a $$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)))))
% 0.49/0.82  (assume a144 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 0.49/0.82  (assume a145 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.82  (assume a146 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a)))))
% 0.49/0.82  (assume a147 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 0.49/0.82  (assume a148 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) V_z T_a)))))
% 0.49/0.82  (assume a149 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_y (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a) T_a)))))
% 0.49/0.82  (assume a150 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 0.49/0.82  (assume a151 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) V_d T_a)))))
% 0.49/0.82  (assume a152 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) V_b T_a)))))
% 0.49/0.82  (assume a153 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_c (tptp.c_HOL_Oplus__class_Oplus V_a V_d T_a) T_a)))))
% 0.49/0.82  (assume a154 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 0.49/0.82  (assume a155 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a))) (= (tptp.c_HOL_Ozero__class_Ozero T_a) V_a))))
% 0.49/0.82  (assume a156 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Divides_Odiv__class_Odiv V_x (tptp.c_HOL_Ouminus__class_Ouminus V_y (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Divides_Odiv__class_Odiv V_x V_y (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.82  (assume a157 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Ouminus__class_Ouminus V_x (tptp.tc_Polynomial_Opoly T_a)) V_y (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Divides_Odiv__class_Odiv V_x V_y (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a158 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 0.49/0.83  (assume a159 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) V_b T_a) V_c T_a)))))
% 0.49/0.83  (assume a160 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (= V_x_H V_y_H))))
% 0.49/0.83  (assume a161 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_xa V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a))) (= V_xa V_y))))
% 0.49/0.83  (assume a162 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_r $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Divides_Odiv__class_Omod V_x V_y (tptp.tc_Polynomial_Opoly T_a)) V_r) (not (tptp.c_Polynomial_Opdivmod__rel V_x V_y V_q V_r T_a)))))
% 0.49/0.83  (assume a163 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_x V_a T_a) (tptp.c_HOL_Ominus__class_Ominus V_y V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_x V_a T_a) V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ominus__class_Ominus V_y V_b T_a) T_a) T_a)))))
% 0.49/0.83  (assume a164 (forall ((T_a $$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)))))
% 0.49/0.83  (assume a165 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a166 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a167 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a168 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a169 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a V_b))))
% 0.49/0.83  (assume a170 (forall ((T_a $$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))))
% 0.49/0.83  (assume a171 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x V_y))))
% 0.49/0.83  (assume a172 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_xa (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_xa V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_xa V_y T_a) T_a)))))
% 0.49/0.83  (assume a173 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_b_H $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ominus__class_Ominus V_b V_b_H T_a) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b_H T_a) T_a)))))
% 0.49/0.83  (assume a174 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_a_H T_a) V_b T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a_H V_b T_a) T_a)))))
% 0.49/0.83  (assume a175 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ya $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) V_ya T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_x V_ya T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_ya T_a) T_a)))))
% 0.49/0.83  (assume a176 (forall ((T_a $$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)))))
% 0.49/0.83  (assume a177 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Odiv V_b V_a T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) V_a T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 0.49/0.83  (assume a178 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_n T_a)))))
% 0.49/0.83  (assume a179 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 0.49/0.83  (assume a180 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) V_b T_a) V_c T_a)))))
% 0.49/0.83  (assume a181 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_q_H $$unsorted) (V_r_H $$unsorted) (V_r $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Polynomial_Opdivmod__rel V_x (tptp.c_HOL_Otimes__class_Otimes V_y V_z (tptp.tc_Polynomial_Opoly T_a)) V_q_H (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_y V_r_H (tptp.tc_Polynomial_Opoly T_a)) V_r (tptp.tc_Polynomial_Opoly T_a)) T_a) (not (tptp.c_Polynomial_Opdivmod__rel V_q V_z V_q_H V_r_H T_a)) (not (tptp.c_Polynomial_Opdivmod__rel V_x V_y V_q V_r T_a)))))
% 0.49/0.83  (assume a182 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) V_y)) (= V_x (tptp.c_HOL_Ouminus__class_Ouminus V_z T_a)))))
% 0.49/0.83  (assume a183 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Divides_Odiv__class_Odiv V_b V_a T_a) T_a) V_b) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 0.49/0.83  (assume a184 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Odiv V_b V_a T_a) V_a T_a) V_b) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 0.49/0.83  (assume a185 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a)))))
% 0.49/0.83  (assume a186 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 0.49/0.83  (assume a187 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 0.49/0.83  (assume a188 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (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)))))
% 0.49/0.83  (assume a189 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (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)))))
% 0.49/0.83  (assume a190 (forall ((T_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_q (tptp.tc_Polynomial_Opoly T_a)) V_q))))
% 0.49/0.83  (assume a191 (forall ((T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_p (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a)) V_p))))
% 0.49/0.83  (assume a192 (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))))
% 0.49/0.83  (assume a193 (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))))
% 0.49/0.83  (assume a194 (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))))
% 0.49/0.83  (assume a195 (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)))))
% 0.49/0.83  (assume a196 (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))))
% 0.49/0.83  (assume a197 (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))))
% 0.49/0.83  (assume a198 (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))))
% 0.49/0.83  (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 (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))))
% 0.49/0.83  (assume a200 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_b T_a) V_a))))
% 0.49/0.83  (assume a201 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) V_b))))
% 0.49/0.83  (assume a202 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= V_a (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 0.49/0.83  (assume a203 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= V_b (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 0.49/0.83  (assume a204 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) T_a) V_x))))
% 0.49/0.83  (assume a205 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) V_a))))
% 0.49/0.83  (assume a206 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_a))))
% 0.49/0.83  (assume a207 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a)))))
% 0.49/0.83  (assume a208 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a)))))
% 0.49/0.83  (assume a209 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a) T_a)))))
% 0.49/0.83  (assume a210 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a) T_a)))))
% 0.49/0.83  (assume a211 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 0.49/0.83  (assume a212 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 0.49/0.83  (assume a213 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 0.49/0.83  (assume a214 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)))))
% 0.49/0.83  (assume a215 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a))) (= V_y V_z))))
% 0.49/0.83  (assume a216 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a))) (= V_b V_c))))
% 0.49/0.83  (assume a217 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a))) (= V_b V_c))))
% 0.49/0.83  (assume a218 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a))) (= V_b V_c))))
% 0.49/0.83  (assume a219 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Polynomial_Opdivmod__rel (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_y (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a))))
% 0.49/0.83  (assume a220 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod V_b V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 0.49/0.83  (assume a221 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (not (= (tptp.c_Divides_Odiv__class_Omod V_b V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a))))
% 0.49/0.83  (assume a222 (forall ((T_a $$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))))))
% 0.49/0.83  (assume a223 (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)))))
% 0.49/0.83  (assume a224 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) V_b T_a) V_c T_a)))))
% 0.49/0.83  (assume a225 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 0.49/0.83  (assume a226 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (= (tptp.c_Polynomial_Osmult V_a V_p T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)))) (= V_p (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a227 (forall ((T_a $$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))))
% 0.49/0.83  (assume a228 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Divides_Odiv__class_Omod V_x (tptp.c_Polynomial_Osmult V_a V_y T_a) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_Divides_Odiv__class_Omod V_x V_y (tptp.tc_Polynomial_Opoly T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a229 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Polynomial_Opdivmod__rel (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_y (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a)) V_y (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a))))
% 0.49/0.83  (assume a230 (forall ((T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Polynomial_Opdivmod__rel (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a)) V_r (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_r T_a))))
% 0.49/0.83  (assume a231 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 0.49/0.83  (assume a232 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv V_a V_a T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a233 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T_a)) (= (tptp.c_Polynomial_Osmult (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_p T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Polynomial_Osmult V_a V_p T_a) (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a234 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) T_a)))))
% 0.49/0.83  (assume a235 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)))))
% 0.49/0.83  (assume a236 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d))))
% 0.49/0.83  (assume a237 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a))) (= V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a)))))
% 0.49/0.83  (assume a238 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a)))))
% 0.49/0.83  (assume a239 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a) T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a)))))
% 0.49/0.83  (assume a240 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Polynomial_Opdivmod__rel V_x (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_x T_a))))
% 0.49/0.83  (assume a241 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 0.49/0.83  (assume a242 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a243 (forall ((T_a $$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)))))
% 0.49/0.83  (assume a244 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Oplus__class_Oplus V_y V_x T_a)))))
% 0.49/0.83  (assume a245 (forall ((T_a $$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)))))
% 0.49/0.83  (assume a246 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_n T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_n T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a)))))
% 0.49/0.83  (assume a247 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a248 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_a_H $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (not (= (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a_H V_b T_a))) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ouminus__class_Ouminus V_a_H T_a) V_b T_a)))))
% 0.49/0.83  (assume a249 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 0.49/0.83  (assume a250 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower V_a V_n T_a) V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a)))))
% 0.49/0.83  (assume a251 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_c (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a252 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_c (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a253 (forall ((T_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_m V_m T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_m T_a)))))
% 0.49/0.83  (assume a254 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_q $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Divides_Odiv__class_Odiv V_x V_y (tptp.tc_Polynomial_Opoly T_a)) V_q) (not (tptp.c_Polynomial_Opdivmod__rel V_x V_y V_q V_r T_a)))))
% 0.49/0.83  (assume a255 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_b_H $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (not (= (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b_H V_c T_a))) (not (= (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_a_H V_c T_a))) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a_H V_b_H T_a) V_c T_a)))))
% 0.49/0.83  (assume a256 (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))))))
% 0.49/0.83  (assume a257 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b))))
% 0.49/0.83  (assume a258 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)))))
% 0.49/0.83  (assume a259 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_Divides_Odiv__class_Odiv V_x V_y T_a) V_n T_a) (tptp.c_Divides_Odiv__class_Odiv (tptp.c_Power_Opower__class_Opower V_x V_n T_a) (tptp.c_Power_Opower__class_Opower V_y V_n T_a) T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_x T_a)))))
% 0.49/0.83  (assume a260 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_d T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a))) (= V_c V_d) (= V_a V_b))))
% 0.49/0.83  (assume a261 (forall ((T_a $$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))))
% 0.49/0.83  (assume a262 (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)))))
% 0.49/0.83  (assume a263 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_b_H $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (not (= (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b_H V_c T_a))) (not (= (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_a_H V_c T_a))) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a_H V_b_H T_a) V_c T_a)))))
% 0.49/0.83  (assume a264 (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)))))
% 0.49/0.83  (assume a265 (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)))))
% 0.49/0.83  (assume a266 (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)))))
% 0.49/0.83  (assume a267 (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)))))
% 0.49/0.83  (assume a268 (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)))))
% 0.49/0.83  (assume a269 (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)))))
% 0.49/0.83  (assume a270 (forall ((T_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) V_q (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a271 (forall ((T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_p (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a272 (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)))))
% 0.49/0.83  (assume a273 (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)))))
% 0.49/0.83  (assume a274 (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)))))
% 0.49/0.83  (assume a275 (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)))))
% 0.49/0.83  (assume a276 (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)))))
% 0.49/0.83  (assume a277 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_n T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a)))))
% 0.49/0.83  (assume a278 (forall ((T_a $$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)))))
% 0.49/0.83  (assume a279 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Otimes__class_Otimes V_a V_m T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_m T_a)))))
% 0.49/0.83  (assume a280 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a281 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_b_H $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (not (= (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b_H V_c T_a))) (not (= (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_a_H V_c T_a))) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a_H V_b_H T_a) V_c T_a)))))
% 0.49/0.83  (assume a282 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_z T_a) (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) V_y))))
% 0.49/0.83  (assume a283 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) V_b))))
% 0.49/0.83  (assume a284 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Divides_Odiv__class_Omod V_x (tptp.c_HOL_Ouminus__class_Ouminus V_y (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_Divides_Odiv__class_Omod V_x V_y (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a285 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 0.49/0.83  (assume a286 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Polynomial_Opoly__gcd V_x V_y T_a) (tptp.c_Polynomial_Opoly__gcd V_y V_x T_a)))))
% 0.49/0.83  (assume a287 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 0.49/0.83  (assume a288 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a289 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__ab__group__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a290 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a291 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Polynomial_Opoly__gcd V_x V_y T_a) (tptp.c_Polynomial_Opoly__gcd V_y (tptp.c_Divides_Odiv__class_Omod V_x V_y (tptp.tc_Polynomial_Opoly T_a)) T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a292 (forall ((T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (= (tptp.c_Polynomial_Osmult (tptp.c_HOL_Ozero__class_Ozero T_a) V_p T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a293 (forall ((T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Osmult (tptp.c_HOL_Ozero__class_Ozero T_a) V_p T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a294 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a)))))
% 0.49/0.83  (assume a295 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Divides_Odiv__class_Odiv V_x (tptp.c_HOL_Otimes__class_Otimes V_y V_z (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_Divides_Odiv__class_Odiv (tptp.c_Divides_Odiv__class_Odiv V_x V_y (tptp.tc_Polynomial_Opoly T_a)) V_z (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a296 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a)))))
% 0.49/0.83  (assume a297 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (not (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a298 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a299 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a300 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Odiv V_a V_b T_a) V_b T_a) T_a) V_a))))
% 0.49/0.83  (assume a301 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a302 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))) (tptp.c_Polynomial_Opdivmod__rel (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_q V_y (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a)) V_y V_q (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a))))
% 0.49/0.83  (assume a303 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ouminus__class_Ouminus V_x (tptp.tc_Polynomial_Opoly T_a)) V_y (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Divides_Odiv__class_Omod V_x V_y (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a304 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_c (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) T_a)))))
% 0.49/0.83  (assume a305 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) V_c T_a)))))
% 0.49/0.83  (assume a306 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 0.49/0.83  (assume a307 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 0.49/0.83  (assume a308 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_HOL_Oabs__class_Oabs V_l T_a) (tptp.c_HOL_Oabs__class_Oabs V_k T_a))) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_l V_k T_a))))
% 0.49/0.83  (assume a309 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_c V_d T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 0.49/0.83  (assume a310 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Osmult V_a (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a311 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (= (tptp.c_Polynomial_Osmult V_a (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a312 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_c V_b T_a)))))
% 0.49/0.83  (assume a313 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_Polynomial_Opoly__gcd V_x V_y T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_y (tptp.tc_Polynomial_Opoly T_a))) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_x (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a314 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_Polynomial_Opoly__gcd V_x V_y T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_y (tptp.tc_Polynomial_Opoly T_a))) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_x (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a315 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Polynomial_Opoly__gcd V_x V_y T_a) V_x (tptp.tc_Polynomial_Opoly T_a)))))
% 0.49/0.83  (assume a316 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Polynomial_Opoly__gcd V_x V_y T_a) V_y (tptp.tc_Polynomial_Opoly T_a)))))
% 0.49/0.83  (assume a317 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Polynomial_Osmult (tptp.c_HOL_Ozero__class_Ozero T_a) V_p T_a) V_q (tptp.tc_Polynomial_Opoly T_a))) (= V_q (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a318 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_m (tptp.c_HOL_Oabs__class_Oabs V_k T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_m V_k T_a)))))
% 0.49/0.83  (assume a319 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_m V_k T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_m (tptp.c_HOL_Oabs__class_Oabs V_k T_a) T_a)))))
% 0.49/0.83  (assume a320 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Oabs__class_Oabs V_m T_a) V_k T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_m V_k T_a)))))
% 0.49/0.83  (assume a321 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_m V_k T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Oabs__class_Oabs V_m T_a) V_k T_a)))))
% 0.49/0.83  (assume a322 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 0.49/0.83  (assume a323 (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))))))
% 0.49/0.83  (assume a324 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_y (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_Polynomial_Opoly__gcd V_x V_y T_a) (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a325 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_x (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_Polynomial_Opoly__gcd V_x V_y T_a) (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a326 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (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_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 0.49/0.83  (assume a327 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (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_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 0.49/0.83  (assume a328 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T_a)) (= (tptp.c_Polynomial_Osmult V_a (tptp.c_HOL_Ouminus__class_Ouminus V_p (tptp.tc_Polynomial_Opoly T_a)) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Polynomial_Osmult V_a V_p T_a) (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a329 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 0.49/0.83  (assume a330 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) V_y T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y T_a)))))
% 0.49/0.83  (assume a331 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) V_y T_a)))))
% 0.49/0.83  (assume a332 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y T_a)))))
% 0.49/0.83  (assume a333 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a) T_a)))))
% 0.49/0.83  (assume a334 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Divides_Odiv__class_Odiv V_b V_a T_a) (tptp.c_Divides_Odiv__class_Odiv V_c V_a T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_b V_c T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_c T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 0.49/0.83  (assume a335 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_b V_c T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Divides_Odiv__class_Odiv V_b V_a T_a) (tptp.c_Divides_Odiv__class_Odiv V_c V_a T_a) T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_c T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 0.49/0.83  (assume a336 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_c T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 0.49/0.83  (assume a337 (forall ((T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Polynomial_Osmult (tptp.c_HOL_Oone__class_Oone T_a) V_p T_a) V_p))))
% 0.49/0.83  (assume a338 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Polynomial_Osmult V_a V_x T_a) V_y (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_Polynomial_Osmult V_a (tptp.c_Divides_Odiv__class_Omod V_x V_y (tptp.tc_Polynomial_Opoly T_a)) T_a)))))
% 0.49/0.83  (assume a339 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a340 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Polynomial_Osmult V_a V_p T_a) V_q (tptp.tc_Polynomial_Opoly T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a341 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a342 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a343 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Polynomial_Osmult V_a V_p T_a) V_q (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a344 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Polynomial_Osmult V_a V_p T_a) V_q (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.49/0.83  (assume a345 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Polynomial_Osmult V_a V_p T_a) (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_HOL_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly T_a)) (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a346 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_b V_c T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a)))))
% 0.49/0.83  (assume a347 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_c T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a)))))
% 0.49/0.83  (assume a348 (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_Ring__and__Field_Odvd__class_Odvd V_a (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 0.49/0.83  (assume a349 (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_Ring__and__Field_Odvd__class_Odvd V_a (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_c T_a)))))
% 0.49/0.83  (assume a350 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a))))
% 0.49/0.83  (assume a351 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_c T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_b V_c T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 0.49/0.83  (assume a352 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_a T_a))))
% 0.49/0.83  (assume a353 (forall ((T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (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)) (tptp.tc_Polynomial_Opoly T_a)))))
% 0.49/0.83  (assume a354 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_q $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (tptp.c_Polynomial_Opdivmod__rel (tptp.c_Polynomial_Osmult V_a V_x T_a) V_y (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.c_Polynomial_Osmult V_a V_r T_a) T_a) (not (tptp.c_Polynomial_Opdivmod__rel V_x V_y V_q V_r T_a)))))
% 0.49/0.83  (assume a355 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x (tptp.c_HOL_Ominus__class_Ominus V_y V_z T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_z T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y T_a)))))
% 0.49/0.83  (assume a356 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Osmult V_a (tptp.c_HOL_Oplus__class_Oplus V_p V_q (tptp.tc_Polynomial_Opoly T_a)) T_a) (tptp.c_HOL_Oplus__class_Oplus (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))))))
% 0.49/0.83  (assume a357 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_m T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_n T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_Divides_Odiv__class_Omod V_m V_n T_a) T_a)))))
% 0.49/0.83  (assume a358 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_Divides_Odiv__class_Omod V_m V_n T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_m T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_n T_a)))))
% 0.49/0.83  (assume a359 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_m T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_Divides_Odiv__class_Omod V_m V_n T_a) T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_n T_a)))))
% 0.49/0.83  (assume a360 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_Divides_Odiv__class_Omod V_m V_n T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_n T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_m T_a)))))
% 0.49/0.83  (assume a361 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_Polynomial_Osmult V_a V_x T_a) V_y (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_Polynomial_Osmult V_a (tptp.c_Divides_Odiv__class_Odiv V_x V_y (tptp.tc_Polynomial_Opoly T_a)) T_a)))))
% 0.49/0.83  (assume a362 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) T_a))))
% 0.49/0.83  (assume a363 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a))))
% 0.49/0.83  (assume a364 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odvd T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_b (tptp.c_HOL_Otimes__class_Otimes V_b V_k T_a) T_a))))
% 0.49/0.83  (assume a365 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Polynomial_Osmult V_a V_p T_a) V_q (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a366 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (assume a367 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Power_Opower__class_Opower V_x V_n T_a) (tptp.c_Power_Opower__class_Opower V_y V_n T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y T_a)))))
% 0.49/0.83  (assume a368 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_Polynomial_Osmult V_a (tptp.c_HOL_Otimes__class_Otimes V_p V_q (tptp.tc_Polynomial_Opoly T_a)) T_a)))))
% 0.49/0.83  (assume a369 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_p $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Polynomial_Osmult V_a V_p T_a) V_q (tptp.tc_Polynomial_Opoly T_a)) (tptp.c_Polynomial_Osmult V_a (tptp.c_HOL_Otimes__class_Otimes V_p V_q (tptp.tc_Polynomial_Opoly T_a)) T_a)))))
% 0.49/0.83  (assume a370 (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)))
% 0.49/0.83  (assume a371 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_p $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_a)) (= (tptp.c_Polynomial_Osmult V_a (tptp.c_Polynomial_Osmult V_b V_p T_a) T_a) (tptp.c_Polynomial_Osmult (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_p T_a)))))
% 0.49/0.83  (assume a372 (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_q (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)))
% 0.49/0.83  (assume a373 (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)))
% 0.49/0.83  (assume a374 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))))
% 0.49/0.83  (assume a375 (forall ((T_1 $$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)))))
% 0.49/0.83  (assume a376 (tptp.class_OrderedGroup_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a377 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a378 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a379 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a380 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a381 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a382 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a383 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a384 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a385 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a386 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a387 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a388 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a389 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a390 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a391 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a392 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a393 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a394 (tptp.class_Ring__and__Field_Ocomm__ring tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a395 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a396 (tptp.class_Ring__and__Field_Osemiring tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a397 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a398 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a399 (tptp.class_Ring__and__Field_Oring__1 tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a400 (tptp.class_Ring__and__Field_Ofield tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a401 (tptp.class_Ring__and__Field_Oring tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a402 (tptp.class_Ring__and__Field_Oidom tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a403 (tptp.class_Ring__and__Field_Odvd tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a404 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a405 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a406 (tptp.class_HOL_Ozero tptp.tc_Complex_Ocomplex))
% 0.49/0.83  (assume a407 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oidom T_1)))))
% 0.49/0.83  (assume a408 (forall ((T_1 $$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)))))
% 0.49/0.83  (assume a409 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oring__no__zero__divisors (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oidom T_1)))))
% 0.49/0.83  (assume a410 (forall ((T_1 $$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)))))
% 0.49/0.83  (assume a411 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oordered__ring__strict (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 0.49/0.83  (assume a412 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Oordered__ab__group__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 0.49/0.83  (assume a413 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Ocancel__semigroup__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_OrderedGroup_Ocancel__comm__monoid__add T_1)))))
% 0.49/0.83  (assume a414 (forall ((T_1 $$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)))))
% 0.49/0.83  (assume a415 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Ocomm__semiring__1 (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_1)))))
% 0.49/0.83  (assume a416 (forall ((T_1 $$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)))))
% 0.49/0.83  (assume a417 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Oab__semigroup__mult (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_1)))))
% 0.49/0.83  (assume a418 (forall ((T_1 $$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)))))
% 0.49/0.83  (assume a419 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Oab__semigroup__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_1)))))
% 0.49/0.83  (assume a420 (forall ((T_1 $$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)))))
% 0.49/0.83  (assume a421 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Ocomm__monoid__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_1)))))
% 0.49/0.83  (assume a422 (forall ((T_1 $$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)))))
% 0.49/0.83  (assume a423 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oordered__idom (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oordered__idom T_1)))))
% 0.49/0.83  (assume a424 (forall ((T_1 $$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)))))
% 0.49/0.83  (assume a425 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Oab__group__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_OrderedGroup_Oab__group__add T_1)))))
% 0.49/0.83  (assume a426 (forall ((T_1 $$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)))))
% 0.49/0.83  (assume a427 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Ocomm__ring (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__ring T_1)))))
% 0.49/0.83  (assume a428 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Omonoid__mult (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_1)))))
% 0.49/0.83  (assume a429 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Osemiring (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T_1)))))
% 0.49/0.83  (assume a430 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Omonoid__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_1)))))
% 0.49/0.83  (assume a431 (forall ((T_1 $$unsorted)) (or (tptp.class_OrderedGroup_Ogroup__add (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_OrderedGroup_Oab__group__add T_1)))))
% 0.49/0.83  (assume a432 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oring__1 (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_1)))))
% 0.49/0.83  (assume a433 (forall ((T_1 $$unsorted)) (or (tptp.class_Divides_Osemiring__div (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ofield T_1)))))
% 0.49/0.83  (assume a434 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oring (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__ring T_1)))))
% 0.49/0.83  (assume a435 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Oidom (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Oidom T_1)))))
% 0.49/0.83  (assume a436 (forall ((T_1 $$unsorted)) (or (tptp.class_Ring__and__Field_Odvd (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_1)))))
% 0.49/0.83  (assume a437 (forall ((T_1 $$unsorted)) (or (tptp.class_Divides_Oring__div (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ofield T_1)))))
% 0.49/0.83  (assume a438 (forall ((T_1 $$unsorted)) (or (tptp.class_Int_Onumber__ring (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_1)))))
% 0.49/0.83  (assume a439 (forall ((T_1 $$unsorted)) (or (tptp.class_Power_Opower (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_1)))))
% 0.49/0.83  (assume a440 (forall ((T_1 $$unsorted)) (or (tptp.class_HOL_Ozero (tptp.tc_Polynomial_Opoly T_1)) (not (tptp.class_HOL_Ozero T_1)))))
% 0.49/0.83  (step t1 (cl (=> (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))))) (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a)))))) :rule implies_neg1)
% 0.49/0.83  (anchor :step t2)
% 0.49/0.83  (assume t2.a0 (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a))))))
% 0.49/0.83  (step t2.t1 (cl (or (not (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a)))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)))))) :rule forall_inst :args ((:= T_a tptp.tc_Complex_Ocomplex) (:= V_p tptp.v_p) (:= V_a tptp.v_a) (:= V_q tptp.v_q)))
% 0.49/0.83  (step t2.t2 (cl (not (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a)))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))))) :rule or :premises (t2.t1))
% 0.49/0.83  (step t2.t3 (cl (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t2.t2 t2.a0))
% 0.49/0.83  (step t2 (cl (not (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a)))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))))) :rule subproof :discharge (t2.a0))
% 0.49/0.83  (step t3 (cl (=> (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))))) :rule resolution :premises (t1 t2))
% 0.49/0.83  (step t4 (cl (=> (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))))) (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)))))) :rule implies_neg2)
% 0.49/0.83  (step t5 (cl (=> (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))))) (=> (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)))))) :rule resolution :premises (t3 t4))
% 0.49/0.83  (step t6 (cl (=> (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)))))) :rule contraction :premises (t5))
% 0.49/0.83  (step t7 (cl (not (forall ((T_a $$unsorted) (V_p $$unsorted) (V_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p (tptp.c_Polynomial_Osmult V_a V_q T_a) (tptp.tc_Polynomial_Opoly T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_p V_q (tptp.tc_Polynomial_Opoly T_a)))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))))) :rule implies :premises (t6))
% 0.49/0.83  (step t8 (cl (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))))) (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)))) :rule or_pos)
% 0.49/0.83  (step t9 (cl (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))) (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)))))) :rule reordering :premises (t8))
% 0.49/0.83  (step t10 (cl (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p (tptp.c_Polynomial_Osmult tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex) (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd tptp.v_p tptp.v_q (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)))))) :rule resolution :premises (t9 a374 a373 a382))
% 0.49/0.83  (step t11 (cl) :rule resolution :premises (t7 t10 a366))
% 0.49/0.83  
% 0.49/0.83  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.fiw2y3ZSJZ/cvc5---1.0.5_23884.smt2
% 0.49/0.83  % cvc5---1.0.5 exiting
% 0.49/0.83  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------