%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV674-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 18:15:47 EDT 2024

% Result   : Unsatisfiable 1.00s 1.19s
% Output   : Proof 1.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.19  % Problem    : SWV674-1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.20  % Command    : do_cvc5 %s %d
% 0.21/0.42  % Computer : n019.cluster.edu
% 0.21/0.42  % Model    : x86_64 x86_64
% 0.21/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.42  % Memory   : 8042.1875MB
% 0.21/0.42  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.21/0.42  % CPULimit   : 300
% 0.21/0.42  % WCLimit    : 300
% 0.21/0.42  % DateTime   : Mon May 27 00:43:54 EDT 2024
% 0.21/0.42  % CPUTime    : 
% 0.47/0.75  %----Proving TF0_NAR, FOF, or CNF
% 0.47/0.76  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.00/1.19  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.PKDWvwqNcG/cvc5---1.0.5_4261.smt2
% 1.00/1.19  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.PKDWvwqNcG/cvc5---1.0.5_4261.smt2
% 1.06/1.24  (assume a0 (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)))))
% 1.06/1.24  (assume a1 (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)))))
% 1.06/1.24  (assume a2 (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)))))
% 1.06/1.24  (assume a3 (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)))))
% 1.06/1.24  (assume a4 (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)))))
% 1.06/1.24  (assume a5 (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)))))
% 1.06/1.24  (assume a6 (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)))))
% 1.06/1.24  (assume a7 (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)))))
% 1.06/1.24  (assume a8 (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)))))
% 1.06/1.24  (assume a9 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a10 (forall ((T_a $$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)))))
% 1.06/1.24  (assume a11 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a12 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_xa (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_xa V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_xa V_y T_a) T_a)))))
% 1.06/1.24  (assume a13 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_b_H $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ominus__class_Ominus V_b V_b_H T_a) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b_H T_a) T_a)))))
% 1.06/1.24  (assume a14 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_a_H T_a) V_b T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a_H V_b T_a) T_a)))))
% 1.06/1.24  (assume a15 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ya $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) V_ya T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_x V_ya T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_ya T_a) T_a)))))
% 1.06/1.24  (assume a16 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) T_a) V_a))))
% 1.06/1.24  (assume a17 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) T_a) V_x))))
% 1.06/1.24  (assume a18 (forall ((T_a $$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)))))
% 1.06/1.24  (assume a19 (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)))))
% 1.06/1.24  (assume a20 (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)))))
% 1.06/1.24  (assume a21 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_z V_w T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_w T_a) T_a)))))
% 1.06/1.24  (assume a22 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) V_y T_a)))))
% 1.06/1.24  (assume a23 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 1.06/1.24  (assume a24 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.06/1.24  (assume a25 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.06/1.24  (assume a26 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.06/1.24  (assume a27 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a28 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 1.06/1.24  (assume a29 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a30 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 1.06/1.24  (assume a31 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.06/1.24  (assume a32 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a33 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 1.06/1.24  (assume a34 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.06/1.24  (assume a35 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.06/1.24  (assume a36 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a37 (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)))))
% 1.06/1.24  (assume a38 (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)))))
% 1.06/1.24  (assume a39 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a)))))
% 1.06/1.24  (assume a40 (forall ((T_a $$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)))))
% 1.06/1.24  (assume a41 (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))))
% 1.06/1.24  (assume a42 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_a))))
% 1.06/1.24  (assume a43 (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))))
% 1.06/1.24  (assume a44 (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))))
% 1.06/1.24  (assume a45 (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))))
% 1.06/1.24  (assume a46 (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))))
% 1.06/1.24  (assume a47 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_rx T_a) (tptp.c_HOL_Otimes__class_Otimes V_ly V_ry T_a) T_a)))))
% 1.06/1.24  (assume a48 (forall ((T_a $$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)))))
% 1.06/1.24  (assume a49 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) V_ry T_a) T_a)))))
% 1.06/1.24  (assume a50 (forall ((T_a $$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)))))
% 1.06/1.24  (assume a51 (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))))
% 1.06/1.24  (assume a52 (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)))))
% 1.06/1.24  (assume a53 (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)))))
% 1.06/1.24  (assume a54 (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)))))
% 1.06/1.24  (assume a55 (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)))))
% 1.06/1.24  (assume a56 (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)))))
% 1.06/1.24  (assume a57 (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)))))
% 1.06/1.24  (assume a58 (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))
% 1.06/1.24  (assume a59 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 1.06/1.24  (assume a60 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a61 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a62 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a63 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.06/1.24  (assume a64 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.06/1.24  (assume a65 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 1.06/1.24  (assume a66 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.06/1.24  (assume a67 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.06/1.24  (assume a68 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a69 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 1.06/1.24  (assume a70 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.06/1.24  (assume a71 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.06/1.24  (assume a72 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a73 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.06/1.24  (assume a74 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a75 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a76 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 1.06/1.24  (assume a77 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) T_a)))))
% 1.06/1.24  (assume a78 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a79 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a80 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a81 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 1.06/1.24  (assume a82 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a83 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a84 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 1.06/1.24  (assume a85 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 1.06/1.24  (assume a86 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a87 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a88 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a89 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a90 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a91 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a92 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__mono1 T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.06/1.24  (assume a93 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__mono T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.06/1.24  (assume a94 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__mono T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.06/1.24  (assume a95 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b V_a T_a)))))
% 1.06/1.24  (assume a96 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b V_a T_a)))))
% 1.06/1.24  (assume a97 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a98 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a99 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a100 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a) T_a))))
% 1.06/1.24  (assume a101 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a102 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a103 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a104 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 1.06/1.24  (assume a105 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 1.06/1.24  (assume a106 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 1.06/1.24  (assume a107 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 1.06/1.24  (assume a108 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.06/1.24  (assume a109 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.06/1.24  (assume a110 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a111 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a112 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a113 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a114 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a115 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a116 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a117 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Otimes__class_Otimes V_m V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_n T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_m T_a)))))
% 1.06/1.24  (assume a118 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a119 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a120 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_c T_a) V_a) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a121 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= V_a (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_c T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a122 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_c T_a) V_a))))
% 1.06/1.24  (assume a123 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_c T_a)))))
% 1.06/1.24  (assume a124 (forall ((T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) V_c T_a)))))
% 1.06/1.24  (assume a125 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_c T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a126 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_c T_a) V_b) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a127 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_w V_z T_a))) (= V_z (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_w V_y T_a)))))
% 1.06/1.24  (assume a128 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_w $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_w V_y T_a))) (= V_z (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_w V_z T_a)))))
% 1.06/1.24  (assume a129 (forall ((T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) V_c T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a130 (forall ((T_a $$unsorted) (V_v $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_v T_a) (tptp.c_HOL_Ominus__class_Ominus V_b V_c T_a) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_v T_a) V_b T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_v T_a) V_c T_a) T_a)))))
% 1.06/1.24  (assume a131 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_v T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_b (tptp.c_Int_Onumber__class_Onumber__of V_v T_a) T_a) T_a)))))
% 1.06/1.24  (assume a132 (= (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))
% 1.06/1.24  (assume a133 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a134 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Oone__class_Oone T_a))) (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_b))))
% 1.06/1.24  (assume a135 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 1.06/1.24  (assume a136 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_HOL_Oinverse__class_Oinverse V_y T_a) T_a)))))
% 1.06/1.24  (assume a137 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_b V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a138 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) V_x T_a) (not (tptp.c_lessequals V_y (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.06/1.24  (assume a139 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_y V_x T_a) V_x T_a) (not (tptp.c_lessequals V_y (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.06/1.24  (assume a140 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_c V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.06/1.24  (assume a141 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_c V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 1.06/1.24  (assume a142 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a143 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a144 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a145 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a146 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))))
% 1.06/1.24  (assume a147 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a148 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a149 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 1.06/1.24  (assume a150 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a151 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a152 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))))
% 1.06/1.24  (assume a153 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))))
% 1.06/1.24  (assume a154 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless V_z (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 1.06/1.24  (assume a155 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 1.06/1.24  (assume a156 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a157 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a158 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))))
% 1.06/1.24  (assume a159 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 1.06/1.24  (assume a160 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a161 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))))
% 1.06/1.24  (assume a162 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (= V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a163 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a164 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a165 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a166 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a167 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_c T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a168 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)))))
% 1.06/1.24  (assume a169 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_c T_a)))))
% 1.06/1.24  (assume a170 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a))) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a171 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= V_a (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a172 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a173 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.06/1.24  (assume a174 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.06/1.24  (assume a175 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.06/1.24  (assume a176 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_w V_z T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_w V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_z T_a) T_a)) (= V_z (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a177 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a178 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_a T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a179 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_a T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a180 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a181 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a) V_x T_a) (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat))))
% 1.06/1.24  (assume a182 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a183 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a184 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a185 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 1.06/1.24  (assume a186 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a187 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a188 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))))
% 1.06/1.24  (assume a189 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a190 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a191 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))))
% 1.06/1.24  (assume a192 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals V_z (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 1.06/1.24  (assume a193 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) V_z T_a) (not (tptp.c_lessequals V_x (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 1.06/1.24  (assume a194 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a195 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a196 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))))
% 1.06/1.24  (assume a197 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 1.06/1.24  (assume a198 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_c V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.06/1.24  (assume a199 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_c V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_b V_a T_a)))))
% 1.06/1.24  (assume a200 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a201 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a202 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a203 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a204 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a205 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a206 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)))))
% 1.06/1.24  (assume a207 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.06/1.24  (assume a208 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.06/1.24  (assume a209 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)))))
% 1.06/1.24  (assume a210 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a211 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.06/1.24  (assume a212 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.06/1.24  (assume a213 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.06/1.24  (assume a214 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a)))))
% 1.06/1.24  (assume a215 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)))))
% 1.06/1.24  (assume a216 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.06/1.24  (assume a217 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a218 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a219 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a220 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.06/1.24  (assume a221 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)))))
% 1.06/1.24  (assume a222 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.06/1.24  (assume a223 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)))))
% 1.06/1.24  (assume a224 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)))))
% 1.06/1.24  (assume a225 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.06/1.24  (assume a226 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)))))
% 1.06/1.24  (assume a227 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.06/1.24  (assume a228 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)))))
% 1.06/1.24  (assume a229 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.06/1.24  (assume a230 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.06/1.24  (assume a231 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a)))))
% 1.06/1.24  (assume a232 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)))))
% 1.06/1.24  (assume a233 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.06/1.24  (assume a234 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a235 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)))))
% 1.06/1.24  (assume a236 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a237 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a238 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.06/1.24  (assume a239 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.06/1.24  (assume a240 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.06/1.24  (assume a241 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a242 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_x V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a243 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a244 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.06/1.24  (assume a245 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a246 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a))))
% 1.06/1.24  (assume a247 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a248 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_a V_m T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.06/1.24  (assume a249 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals V_x V_y tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_b V_x T_a) (tptp.c_Power_Opower__class_Opower V_b V_y T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a)))))
% 1.06/1.24  (assume a250 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_b V_x T_a) (tptp.c_Power_Opower__class_Opower V_b V_y T_a) T_a) (not (tptp.c_lessequals V_x V_y tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a)))))
% 1.06/1.24  (assume a251 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a) (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a)))))
% 1.06/1.24  (assume a252 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a)))))
% 1.06/1.24  (assume a253 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a254 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a) (not (tptp.c_lessequals V_x (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.06/1.24  (assume a255 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x V_n T_a) T_a)))))
% 1.06/1.24  (assume a256 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.06/1.24  (assume a257 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) T_a))))
% 1.06/1.24  (assume a258 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) V_n T_a) T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a259 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.06/1.24  (assume a260 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a261 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.06/1.24  (assume a262 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a)))))
% 1.06/1.24  (assume a263 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.06/1.24  (assume a264 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.06/1.24  (assume a265 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.06/1.24  (assume a266 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a267 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a268 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a269 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) T_a)))))
% 1.06/1.24  (assume a270 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat))))
% 1.06/1.24  (assume a271 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) T_a) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)))))
% 1.06/1.24  (assume a272 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a273 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a))) (= V_x (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.06/1.24  (assume a274 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oone__class_Oone T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.06/1.24  (assume a275 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oone__class_Oone T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.06/1.24  (assume a276 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_nat) tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_y tptp.tc_nat)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)))))
% 1.06/1.24  (assume a277 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_nat) tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven V_y tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat))))
% 1.06/1.24  (assume a278 (forall ((V_l $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_l V_n tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_l V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_l tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a279 (forall ((V_j $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_j V_n tptp.tc_nat) V_k tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_j V_k tptp.tc_nat)))))
% 1.06/1.24  (assume a280 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (= V_m V_n) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a281 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a)))))
% 1.06/1.24  (assume a282 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.06/1.24  (assume a283 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.06/1.24  (assume a284 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)))))
% 1.06/1.24  (assume a285 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a286 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.06/1.24  (assume a287 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a288 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a289 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a290 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)))))
% 1.06/1.24  (assume a291 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a292 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.06/1.24  (assume a293 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)))))
% 1.06/1.24  (assume a294 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)))))
% 1.06/1.24  (assume a295 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.06/1.24  (assume a296 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.06/1.24  (assume a297 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)))))
% 1.06/1.24  (assume a298 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)))))
% 1.06/1.24  (assume a299 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a)))))
% 1.06/1.24  (assume a300 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.06/1.24  (assume a301 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.06/1.24  (assume a302 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.06/1.24  (assume a303 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a304 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a305 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.06/1.24  (assume a306 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.06/1.24  (assume a307 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) T_a)))))
% 1.06/1.24  (assume a308 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) V_c T_a) V_b T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a309 (forall ((V_n $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a310 (forall ((V_n $$unsorted)) (or (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a311 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_Int_Onumber__class_Onumber__of tptp.c_Int_OMin T_a) V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)))))
% 1.06/1.24  (assume a312 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a313 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.06/1.24  (assume a314 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a315 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a316 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 1.06/1.24  (assume a317 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.06/1.24  (assume a318 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a319 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a320 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.06/1.24  (assume a321 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a322 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a323 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a324 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a325 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 1.06/1.24  (assume a326 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Oone__class_Oone T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a V_b))))
% 1.06/1.24  (assume a327 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.06/1.24  (assume a328 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.06/1.24  (assume a329 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.06/1.24  (assume a330 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.06/1.24  (assume a331 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a))) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a332 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a)))))
% 1.06/1.24  (assume a333 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a334 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a335 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.06/1.24  (assume a336 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_x V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.06/1.24  (assume a337 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_a T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a338 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_a T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a339 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a340 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a341 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a342 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a343 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.06/1.24  (assume a344 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x V_n T_a) (tptp.c_Power_Opower__class_Opower V_y V_n T_a) T_a) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.06/1.24  (assume a345 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.06/1.24  (assume a346 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.06/1.24  (assume a347 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a348 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a349 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a350 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.06/1.24  (assume a351 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 1.06/1.24  (assume a352 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.06/1.24  (assume a353 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 1.06/1.24  (assume a354 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a)))))
% 1.06/1.24  (assume a355 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a356 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a357 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a358 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a)))))
% 1.06/1.24  (assume a359 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_n T_a)))))
% 1.06/1.24  (assume a360 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_x (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a)))))
% 1.06/1.24  (assume a361 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a)))))
% 1.06/1.24  (assume a362 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_m tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a363 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_m tptp.tc_nat) tptp.tc_nat)))))
% 1.06/1.24  (assume a364 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a365 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.06/1.24  (assume a366 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a)))))
% 1.06/1.24  (assume a367 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 1.06/1.24  (assume a368 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 1.06/1.24  (assume a369 (forall ((V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_c tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_b V_c tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_c V_a tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b tptp.tc_nat)))))
% 1.06/1.24  (assume a370 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x V_n T_a) T_a)))))
% 1.06/1.24  (assume a371 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x V_n T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.06/1.24  (assume a372 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x V_n T_a) T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.06/1.24  (assume a373 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x V_n T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.06/1.24  (assume a374 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a)))))
% 1.06/1.24  (assume a375 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a376 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a377 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a378 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a)))))
% 1.06/1.24  (assume a379 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x V_n T_a) T_a) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a380 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a381 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x V_n T_a) T_a) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a382 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_x V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_w T_a) T_a) (not (tptp.c_lessequals V_w V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_w T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.06/1.24  (assume a383 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a384 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.06/1.24  (assume a385 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_w T_a) T_a) (not (tptp.c_lessequals V_w V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_w T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.06/1.24  (assume a386 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a387 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.06/1.24  (assume a388 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a389 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a390 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)))))
% 1.06/1.24  (assume a391 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a)))))
% 1.06/1.24  (assume a392 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_w V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_w T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.06/1.24  (assume a393 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a394 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a395 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a396 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 1.06/1.24  (assume a397 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.06/1.24  (assume a398 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.06/1.24  (assume a399 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.06/1.24  (assume a400 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) T_a))))
% 1.06/1.24  (assume a401 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (not (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 1.06/1.24  (assume a402 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) V_n T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.06/1.24  (assume a403 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.06/1.24  (assume a404 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals V_b V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 1.06/1.24  (assume a405 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.06/1.24  (assume a406 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals V_b V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 1.06/1.24  (assume a407 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a408 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a) (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a)))))
% 1.06/1.24  (assume a409 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_N $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_a V_N T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)) (not (tptp.c_lessequals V_n V_N tptp.tc_nat)))))
% 1.06/1.24  (assume a410 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a411 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.06/1.24  (assume a412 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m V_n) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a413 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (= V_m V_n) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a414 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a415 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals V_x V_y tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat)))))
% 1.06/1.24  (assume a416 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Int_Onumber T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.06/1.24  (assume a417 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_a))))
% 1.06/1.24  (assume a418 (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)))))
% 1.06/1.24  (assume a419 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a)))))
% 1.06/1.24  (assume a420 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.06/1.24  (assume a421 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (not (tptp.c_HOL_Oord__class_Oless V_x_H V_y_H T_a)))))
% 1.06/1.24  (assume a422 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_HOL_Oord__class_Oless V_x_H V_y_H T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.06/1.24  (assume a423 (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 1.06/1.24  (assume a424 (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 1.06/1.24  (assume a425 (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))
% 1.06/1.24  (assume a426 (forall ((V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.06/1.24  (assume a427 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))
% 1.06/1.24  (assume a428 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) T_a)))))
% 1.06/1.24  (assume a429 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)))))
% 1.06/1.24  (assume a430 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a)))))
% 1.06/1.24  (assume a431 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.06/1.24  (assume a432 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a)))))
% 1.06/1.24  (assume a433 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a))))
% 1.06/1.24  (assume a434 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a435 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a436 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.06/1.24  (assume a437 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a438 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a439 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a))))
% 1.06/1.24  (assume a440 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a)))))
% 1.06/1.24  (assume a441 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)))))
% 1.06/1.24  (assume a442 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a443 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_x V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a444 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_x V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.06/1.24  (assume a445 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.06/1.24  (assume a446 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x V_n T_a) T_a) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a447 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 1.06/1.24  (assume a448 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))
% 1.06/1.24  (assume a449 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 1.06/1.24  (assume a450 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.06/1.24  (assume a451 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_x T_a) (tptp.c_lessequals V_x V_x T_a))))
% 1.06/1.24  (assume a452 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_x V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 1.06/1.24  (assume a453 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_lessequals V_y V_x T_a))))
% 1.06/1.24  (assume a454 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.06/1.24  (assume a455 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.06/1.24  (assume a456 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.06/1.24  (assume a457 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (= V_a V_b) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.06/1.24  (assume a458 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals V_a V_b T_a)) (= V_a V_b))))
% 1.06/1.24  (assume a459 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 1.06/1.24  (assume a460 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.06/1.24  (assume a461 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_lessequals V_b V_a T_a)) (= V_a V_b))))
% 1.06/1.24  (assume a462 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (= V_a V_b) (not (tptp.c_lessequals V_b V_a T_a)))))
% 1.06/1.24  (assume a463 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_lessequals V_y V_x T_a) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.06/1.24  (assume a464 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.06/1.24  (assume a465 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.06/1.24  (assume a466 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.06/1.24  (assume a467 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.06/1.24  (assume a468 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.06/1.24  (assume a469 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 1.06/1.24  (assume a470 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (= (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 1.06/1.24  (assume a471 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a))))))
% 1.06/1.24  (assume a472 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat)))))
% 1.06/1.24  (assume a473 (forall ((V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat))))
% 1.06/1.24  (assume a474 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.06/1.24  (assume a475 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Int_Oring__char__0 T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_x T_a) (tptp.c_Int_Onumber__class_Onumber__of V_y T_a))) (= V_x V_y))))
% 1.06/1.24  (assume a476 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat))))
% 1.06/1.24  (assume a477 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_y V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.06/1.24  (assume a478 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 1.06/1.24  (assume a479 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y))))
% 1.06/1.24  (assume a480 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_y V_x tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat) (= V_x V_y))))
% 1.06/1.24  (assume a481 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (= V_m V_n))))
% 1.06/1.24  (assume a482 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 1.06/1.24  (assume a483 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))))
% 1.06/1.24  (assume a484 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 1.06/1.24  (assume a485 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y))))
% 1.06/1.24  (assume a486 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a487 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a)))))
% 1.06/1.24  (assume a488 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_N $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a V_N T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_n V_N tptp.tc_nat)))))
% 1.06/1.24  (assume a489 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a490 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 1.06/1.24  (assume a491 (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_n V_n tptp.tc_nat))))
% 1.06/1.24  (assume a492 (forall ((V_x $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_nat))))
% 1.06/1.24  (assume a493 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 1.06/1.24  (assume a494 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 1.06/1.24  (assume a495 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a))))
% 1.06/1.24  (assume a496 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a V_m T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)) (= V_m V_n))))
% 1.06/1.24  (assume a497 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.class_Int_Onumber T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a) T_a)) (not (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_v T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a)))))
% 1.06/1.24  (assume a498 (forall ((T_a $$unsorted) (V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.class_Int_Onumber T_a)) (tptp.c_lessequals (tptp.c_Int_Onumber__class_Onumber__of V_v T_a) (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_Int_Onumber__class_Onumber__of V_w T_a) (tptp.c_Int_Onumber__class_Onumber__of V_v T_a) T_a))))
% 1.06/1.24  (assume a499 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat))))
% 1.06/1.24  (assume a500 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a V_m T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.06/1.24  (assume a501 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_N $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_a V_N T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_n V_N tptp.tc_nat)))))
% 1.06/1.24  (assume a502 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_b V_x T_a) (tptp.c_Power_Opower__class_Opower V_b V_y T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a)))))
% 1.06/1.24  (assume a503 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_b V_x T_a) (tptp.c_Power_Opower__class_Opower V_b V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a)))))
% 1.06/1.24  (assume a504 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a)))))
% 1.06/1.24  (assume a505 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Parity_Oeven__odd__class_Oeven V_y tptp.tc_nat)) (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_nat) tptp.tc_nat)))))
% 1.06/1.24  (assume a506 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Parity_Oeven__odd__class_Oeven V_x tptp.tc_nat)) (tptp.c_Parity_Oeven__odd__class_Oeven V_y tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus V_x V_y tptp.tc_nat) tptp.tc_nat)))))
% 1.06/1.24  (assume a507 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) T_a) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)))))
% 1.06/1.24  (assume a508 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.06/1.24  (assume a509 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.06/1.24  (assume a510 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 1.06/1.24  (assume a511 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 1.06/1.24  (assume a512 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Int_Onumber__class_Onumber__of V_w tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a513 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Parity_Oeven__odd__class_Oeven V_n tptp.tc_nat)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.06/1.24  (assume a514 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a))) (= V_a V_b) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a515 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_N $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_a V_N T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_n V_N tptp.tc_nat)))))
% 1.06/1.24  (assume a516 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals V_n V_m tptp.tc_nat) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 1.06/1.24  (assume a517 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))
% 1.06/1.24  (assume a518 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a519 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.06/1.24  (assume a520 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.06/1.24  (assume a521 (forall ((V_n $$unsorted)) (tptp.c_lessequals V_n V_n tptp.tc_nat)))
% 1.06/1.24  (assume a522 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals V_i V_k tptp.tc_nat) (not (tptp.c_lessequals V_j V_k tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.06/1.24  (assume a523 (forall ((V_x $$unsorted)) (tptp.c_lessequals V_x V_x tptp.tc_nat)))
% 1.06/1.24  (assume a524 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 1.06/1.24  (assume a525 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 1.06/1.24  (assume a526 (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))
% 1.06/1.24  (assume a527 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) V_n T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a528 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a529 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a530 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a531 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a532 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a533 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a534 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.06/1.24  (assume a535 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a536 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a537 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a538 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a539 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a540 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a541 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a542 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 1.06/1.24  (assume a543 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a544 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a545 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a)))))
% 1.06/1.24  (assume a546 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) V_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a547 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a548 (forall ((V_n $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Ominus__class_Ominus V_n V_i tptp.tc_nat) tptp.tc_nat) V_i) (not (tptp.c_lessequals V_i V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a549 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)))))
% 1.06/1.24  (assume a550 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) T_a) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.06/1.24  (assume a551 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.06/1.24  (assume a552 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y_H V_x_H T_a) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.06/1.24  (assume a553 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y V_x T_a) (not (tptp.c_lessequals V_y_H V_x_H T_a)))))
% 1.06/1.24  (assume a554 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a555 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a556 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a))) (= V_a V_b) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a557 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a))) (= V_a V_b))))
% 1.06/1.24  (assume a558 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_a T_a)))))
% 1.06/1.24  (assume a559 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.06/1.24  (assume a560 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.06/1.24  (assume a561 (forall ((T_a $$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)))))
% 1.06/1.24  (assume a562 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a563 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.06/1.24  (assume a564 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m V_n) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a565 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (= (tptp.c_HOL_Ominus__class_Ominus V_n V_m tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (not (= (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_m V_n))))
% 1.06/1.24  (assume a566 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.06/1.24  (assume a567 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.06/1.24  (assume a568 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) V_n T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a)))))
% 1.06/1.24  (assume a569 (forall ((V_n $$unsorted)) (or (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_lessequals V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))))
% 1.06/1.24  (assume a570 (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (not (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))))
% 1.06/1.24  (assume a571 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 1.06/1.24  (assume a572 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ya $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) V_ya T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Odivide V_x V_ya T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_ya T_a) T_a)))))
% 1.06/1.24  (assume a573 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a574 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a575 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 1.06/1.24  (assume a576 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a577 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a578 (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_m V_m tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.06/1.24  (assume a579 (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) V_m)))
% 1.06/1.24  (assume a580 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a581 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.06/1.24  (assume a582 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) V_a))))
% 1.06/1.24  (assume a583 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 1.06/1.24  (assume a584 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.06/1.24  (assume a585 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.06/1.24  (assume a586 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.06/1.24  (assume a587 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 1.06/1.24  (assume a588 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 1.06/1.24  (assume a589 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 1.06/1.24  (assume a590 (forall ((V_m $$unsorted) (V_l $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_l tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_l tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a591 (forall ((V_l $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_l V_n tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_l V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.06/1.24  (assume a592 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.06/1.24  (assume a593 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat))) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)) (= V_m V_n))))
% 1.06/1.24  (assume a594 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (= V_x_H V_y_H))))
% 1.06/1.24  (assume a595 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_xa V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a))) (= V_xa V_y))))
% 1.06/1.24  (assume a596 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_x V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a597 (forall ((V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.06/1.24  (assume a598 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_m tptp.tc_nat)))
% 1.06/1.24  (assume a599 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a V_b))))
% 1.06/1.24  (assume a600 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a V_b))))
% 1.06/1.24  (assume a601 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x V_y))))
% 1.06/1.24  (assume a602 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower V_a V_m T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a)) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a603 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a604 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a605 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a606 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (assume a607 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_i V_k tptp.tc_nat) V_j tptp.tc_nat))))
% 1.06/1.24  (assume a608 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 1.06/1.24  (assume a609 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a610 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.06/1.24  (assume a611 (forall ((V_n $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))
% 1.06/1.24  (assume a612 (tptp.class_Ring__and__Field_Ofield tptp.t_a))
% 1.06/1.24  (assume a613 (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.v_x tptp.tc_nat))
% 1.06/1.24  (assume a614 (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))))
% 1.06/1.24  (assume a615 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors T))))
% 1.06/1.24  (assume a616 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Oring__no__zero__divisors T))))
% 1.06/1.24  (assume a617 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ono__zero__divisors T))))
% 1.06/1.24  (assume a618 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 1.06/1.24  (assume a619 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.06/1.24  (assume a620 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 1.06/1.24  (assume a621 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Odivision__ring T))))
% 1.06/1.24  (assume a622 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ozero__neq__one T))))
% 1.06/1.24  (assume a623 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.06/1.24  (assume a624 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.06/1.24  (assume a625 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Omult__zero T))))
% 1.06/1.24  (assume a626 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 1.06/1.24  (assume a627 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Ogroup__add T))))
% 1.06/1.24  (assume a628 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Oring T))))
% 1.06/1.24  (assume a629 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Oidom T))))
% 1.06/1.24  (assume a630 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Power_Opower T))))
% 1.06/1.24  (assume a631 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat))
% 1.06/1.24  (assume a632 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat))
% 1.06/1.24  (assume a633 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat))
% 1.06/1.24  (assume a634 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat))
% 1.06/1.24  (assume a635 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat))
% 1.06/1.24  (assume a636 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat))
% 1.06/1.24  (assume a637 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat))
% 1.06/1.24  (assume a638 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat))
% 1.06/1.24  (assume a639 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat))
% 1.06/1.24  (assume a640 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat))
% 1.06/1.24  (assume a641 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat))
% 1.06/1.24  (assume a642 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat))
% 1.06/1.24  (assume a643 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat))
% 1.06/1.24  (assume a644 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat))
% 1.06/1.24  (assume a645 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat))
% 1.06/1.24  (assume a646 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat))
% 1.06/1.24  (assume a647 (tptp.class_Orderings_Opreorder tptp.tc_nat))
% 1.06/1.24  (assume a648 (tptp.class_Orderings_Olinorder tptp.tc_nat))
% 1.06/1.24  (assume a649 (tptp.class_Orderings_Oorder tptp.tc_nat))
% 1.06/1.24  (assume a650 (tptp.class_Power_Opower tptp.tc_nat))
% 1.06/1.24  (assume a651 (tptp.class_Int_Onumber tptp.tc_nat))
% 1.06/1.24  (assume a652 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_Int_Oint))
% 1.06/1.24  (assume a653 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_Int_Oint))
% 1.06/1.24  (assume a654 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Int_Oint))
% 1.06/1.24  (assume a655 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_Int_Oint))
% 1.06/1.24  (assume a656 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Int_Oint))
% 1.06/1.24  (assume a657 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_Int_Oint))
% 1.06/1.24  (assume a658 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_Int_Oint))
% 1.06/1.24  (assume a659 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_Int_Oint))
% 1.06/1.24  (assume a660 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_Int_Oint))
% 1.06/1.24  (assume a661 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Int_Oint))
% 1.06/1.24  (assume a662 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_Int_Oint))
% 1.06/1.24  (assume a663 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Int_Oint))
% 1.06/1.24  (assume a664 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Int_Oint))
% 1.06/1.24  (assume a665 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_Int_Oint))
% 1.06/1.24  (assume a666 (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_Int_Oint))
% 1.06/1.24  (assume a667 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Int_Oint))
% 1.06/1.24  (assume a668 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_Int_Oint))
% 1.06/1.24  (assume a669 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_Int_Oint))
% 1.06/1.24  (assume a670 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_Int_Oint))
% 1.06/1.24  (assume a671 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Int_Oint))
% 1.06/1.24  (assume a672 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Int_Oint))
% 1.06/1.24  (assume a673 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_Int_Oint))
% 1.06/1.24  (assume a674 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Int_Oint))
% 1.06/1.24  (assume a675 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Int_Oint))
% 1.06/1.24  (assume a676 (tptp.class_Ring__and__Field_Oring tptp.tc_Int_Oint))
% 1.06/1.24  (assume a677 (tptp.class_Ring__and__Field_Oidom tptp.tc_Int_Oint))
% 1.06/1.24  (assume a678 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint))
% 1.06/1.24  (assume a679 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint))
% 1.06/1.24  (assume a680 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint))
% 1.06/1.24  (assume a681 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint))
% 1.06/1.24  (assume a682 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint))
% 1.06/1.24  (assume a683 (tptp.class_Power_Opower tptp.tc_Int_Oint))
% 1.06/1.24  (assume a684 (tptp.class_Int_Onumber tptp.tc_Int_Oint))
% 1.06/1.24  (step t1 (cl (not (= (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (or (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))))) (not (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) (or (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule equiv_pos2)
% 1.06/1.24  (step t2 (cl (= (= (= (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) true) (= (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))))) :rule equiv_simplify)
% 1.06/1.24  (step t3 (cl (not (= (= (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) true)) (= (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) :rule equiv1 :premises (t2))
% 1.06/1.24  (step t4 (cl (= (= (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)) (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))))))) :rule all_simplify)
% 1.06/1.24  (step t5 (cl (= (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) :rule refl)
% 1.06/1.24  (step t6 (cl (= (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) :rule all_simplify)
% 1.06/1.24  (step t7 (cl (= (= (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)) (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))))) (= (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))))) :rule cong :premises (t5 t6))
% 1.06/1.24  (step t8 (cl (= (= (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) true)) :rule all_simplify)
% 1.06/1.24  (step t9 (cl (= (= (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)) (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))))) true)) :rule trans :premises (t7 t8))
% 1.06/1.24  (step t10 (cl (= (= (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) true)) :rule trans :premises (t4 t9))
% 1.06/1.24  (step t11 (cl (= (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) :rule resolution :premises (t3 t10))
% 1.06/1.24  (step t12 (cl (= (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule refl)
% 1.06/1.24  (step t13 (cl (= (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))))) :rule refl)
% 1.06/1.24  (step t14 (cl (= (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))))) :rule refl)
% 1.06/1.24  (step t15 (cl (= (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))))) :rule refl)
% 1.06/1.24  (step t16 (cl (= (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))) :rule refl)
% 1.06/1.24  (step t17 (cl (= (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule refl)
% 1.06/1.24  (step t18 (cl (= (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (or (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))))) :rule cong :premises (t11 t12 t13 t14 t15 t16 t17))
% 1.06/1.24  (step t19 (cl (not (= (=> (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))))) (not (=> (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule equiv_pos2)
% 1.06/1.24  (step t20 (cl (= (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule refl)
% 1.06/1.24  (step t21 (cl (= (= (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) false) (not (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))))) :rule equiv_simplify)
% 1.06/1.24  (step t22 (cl (= (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) false) (not (not (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))))) :rule equiv2 :premises (t21))
% 1.06/1.24  (step t23 (cl (not (not (not (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))))) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule not_not)
% 1.06/1.24  (step t24 (cl (= (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) false) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule resolution :premises (t22 t23))
% 1.06/1.24  (step t25 (cl (=> (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) false) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule implies_neg1)
% 1.06/1.24  (anchor :step t26)
% 1.06/1.24  (assume t26.a0 (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))
% 1.06/1.24  (assume t26.a1 (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))
% 1.06/1.24  (step t26.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 1.06/1.24  (step t26.t2 (cl (= (= false true) false)) :rule all_simplify)
% 1.06/1.24  (step t26.t3 (cl (= (= (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) false) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule equiv_simplify)
% 1.06/1.24  (step t26.t4 (cl (= (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) false) (not (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule equiv2 :premises (t26.t3))
% 1.06/1.24  (step t26.t5 (cl (not (not (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) :rule not_not)
% 1.06/1.24  (step t26.t6 (cl (= (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) false) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) :rule resolution :premises (t26.t4 t26.t5))
% 1.06/1.24  (step t26.t7 (cl (= (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) false)) :rule resolution :premises (t26.t6 t26.a1))
% 1.06/1.24  (step t26.t8 (cl (= false (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule symm :premises (t26.t7))
% 1.06/1.24  (step t26.t9 (cl (= (= (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) true) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule equiv_simplify)
% 1.06/1.24  (step t26.t10 (cl (= (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) true) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule equiv2 :premises (t26.t9))
% 1.06/1.24  (step t26.t11 (cl (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) :rule symm :premises (t26.a0))
% 1.06/1.24  (step t26.t12 (cl (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) :rule symm :premises (t26.t11))
% 1.06/1.24  (step t26.t13 (cl (= (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) true)) :rule resolution :premises (t26.t10 t26.t12))
% 1.06/1.24  (step t26.t14 (cl (= false true)) :rule trans :premises (t26.t8 t26.t13))
% 1.06/1.24  (step t26.t15 (cl false) :rule resolution :premises (t26.t1 t26.t2 t26.t14))
% 1.06/1.24  (step t26 (cl (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) false) :rule subproof :discharge (t26.a0 t26.a1))
% 1.06/1.24  (step t27 (cl (not (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) :rule and_pos)
% 1.06/1.24  (step t28 (cl (not (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule and_pos)
% 1.06/1.24  (step t29 (cl false (not (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) (not (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))))) :rule resolution :premises (t26 t27 t28))
% 1.06/1.24  (step t30 (cl (not (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) (not (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) false) :rule reordering :premises (t29))
% 1.06/1.24  (step t31 (cl (not (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) false) :rule contraction :premises (t30))
% 1.06/1.24  (step t32 (cl (=> (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) false) false) :rule resolution :premises (t25 t31))
% 1.06/1.24  (step t33 (cl (=> (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) false) (not false)) :rule implies_neg2)
% 1.06/1.24  (step t34 (cl (=> (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) false) (=> (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) false)) :rule resolution :premises (t32 t33))
% 1.06/1.24  (step t35 (cl (=> (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) false)) :rule contraction :premises (t34))
% 1.06/1.24  (step t36 (cl (= (=> (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) false) (not (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))))) :rule implies_simplify)
% 1.06/1.24  (step t37 (cl (not (=> (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) false)) (not (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))))) :rule equiv1 :premises (t36))
% 1.06/1.24  (step t38 (cl (not (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))))) :rule resolution :premises (t35 t37))
% 1.06/1.24  (step t39 (cl (= (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) false)) :rule resolution :premises (t24 t38))
% 1.06/1.24  (step t40 (cl (= (=> (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) (=> (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) false))) :rule cong :premises (t20 t39))
% 1.06/1.24  (step t41 (cl (= (=> (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) false) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))))) :rule all_simplify)
% 1.06/1.24  (step t42 (cl (= (=> (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))))) :rule trans :premises (t40 t41))
% 1.06/1.24  (step t43 (cl (=> (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule implies_neg1)
% 1.06/1.24  (anchor :step t44)
% 1.06/1.24  (assume t44.a0 (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))))
% 1.06/1.24  (assume t44.a1 (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))
% 1.06/1.24  (assume t44.a2 (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))
% 1.06/1.24  (assume t44.a3 (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)))
% 1.06/1.24  (assume t44.a4 (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)))
% 1.06/1.24  (assume t44.a5 (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))
% 1.06/1.24  (assume t44.a6 (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))
% 1.06/1.24  (step t44.t1 (cl (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule and_neg)
% 1.06/1.24  (step t44.t2 (cl (=> (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) :rule implies_neg1)
% 1.06/1.24  (anchor :step t44.t3)
% 1.06/1.24  (assume t44.t3.a0 (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)))
% 1.06/1.24  (assume t44.t3.a1 (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))
% 1.06/1.24  (assume t44.t3.a2 (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))))
% 1.06/1.24  (assume t44.t3.a3 (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))
% 1.06/1.24  (assume t44.t3.a4 (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)))
% 1.06/1.24  (assume t44.t3.a5 (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))
% 1.06/1.24  (step t44.t3.t1 (cl (= (= (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) false) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule equiv_simplify)
% 1.06/1.24  (step t44.t3.t2 (cl (not (= (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) false)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule equiv1 :premises (t44.t3.t1))
% 1.06/1.24  (step t44.t3.t3 (cl (= tptp.v_a tptp.v_a)) :rule refl)
% 1.06/1.24  (step t44.t3.t4 (cl (= (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.v_x)) :rule symm :premises (t44.t3.a1))
% 1.06/1.24  (step t44.t3.t5 (cl (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule symm :premises (t44.t3.t4))
% 1.06/1.24  (step t44.t3.t6 (cl (= tptp.t_a tptp.t_a)) :rule refl)
% 1.06/1.24  (step t44.t3.t7 (cl (= (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a))) :rule cong :premises (t44.t3.t3 t44.t3.t5 t44.t3.t6))
% 1.06/1.24  (step t44.t3.t8 (cl (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) :rule cong :premises (t44.t3.t7 t44.t3.t6))
% 1.06/1.24  (step t44.t3.t9 (cl (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a))) :rule symm :premises (t44.t3.a0))
% 1.06/1.24  (step t44.t3.t10 (cl (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a))) :rule trans :premises (t44.t3.t8 t44.t3.t9))
% 1.06/1.24  (step t44.t3.t11 (cl (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) :rule refl)
% 1.06/1.24  (step t44.t3.t12 (cl (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) :rule cong :premises (t44.t3.a5 t44.t3.t11 t44.t3.t6))
% 1.06/1.24  (step t44.t3.t13 (cl (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) :rule symm :premises (t44.t3.a5))
% 1.06/1.24  (step t44.t3.t14 (cl (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a))) :rule symm :premises (t44.t3.a4))
% 1.06/1.24  (step t44.t3.t15 (cl (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a))) :rule trans :premises (t44.t3.t13 t44.t3.t14))
% 1.06/1.24  (step t44.t3.t16 (cl (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) :rule cong :premises (t44.t3.t15 t44.t3.t11 t44.t3.t6))
% 1.06/1.24  (step t44.t3.t17 (cl (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) :rule symm :premises (t44.t3.a3))
% 1.06/1.24  (step t44.t3.t18 (cl (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) :rule trans :premises (t44.t3.t12 t44.t3.t16 t44.t3.t17))
% 1.06/1.24  (step t44.t3.t19 (cl (= (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) :rule cong :premises (t44.t3.t10 t44.t3.t18))
% 1.06/1.24  (step t44.t3.t20 (cl (= (= (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)) false) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))))) :rule equiv_simplify)
% 1.06/1.24  (step t44.t3.t21 (cl (= (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)) false) (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))))) :rule equiv2 :premises (t44.t3.t20))
% 1.06/1.24  (step t44.t3.t22 (cl (not (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))))) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) :rule not_not)
% 1.06/1.24  (step t44.t3.t23 (cl (= (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)) false) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) :rule resolution :premises (t44.t3.t21 t44.t3.t22))
% 1.06/1.24  (step t44.t3.t24 (cl (= (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)) false)) :rule resolution :premises (t44.t3.t23 t44.t3.a2))
% 1.06/1.24  (step t44.t3.t25 (cl (= (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) false)) :rule trans :premises (t44.t3.t19 t44.t3.t24))
% 1.06/1.24  (step t44.t3.t26 (cl (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule resolution :premises (t44.t3.t2 t44.t3.t25))
% 1.06/1.24  (step t44.t3 (cl (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule subproof :discharge (t44.t3.a0 t44.t3.a1 t44.t3.a2 t44.t3.a3 t44.t3.a4 t44.t3.a5))
% 1.06/1.24  (step t44.t4 (cl (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) :rule and_pos)
% 1.06/1.24  (step t44.t5 (cl (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule and_pos)
% 1.06/1.24  (step t44.t6 (cl (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) :rule and_pos)
% 1.06/1.24  (step t44.t7 (cl (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) :rule and_pos)
% 1.06/1.24  (step t44.t8 (cl (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) :rule and_pos)
% 1.06/1.24  (step t44.t9 (cl (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) :rule and_pos)
% 1.06/1.24  (step t44.t10 (cl (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))))) :rule resolution :premises (t44.t3 t44.t4 t44.t5 t44.t6 t44.t7 t44.t8 t44.t9))
% 1.06/1.24  (step t44.t11 (cl (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule reordering :premises (t44.t10))
% 1.06/1.24  (step t44.t12 (cl (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule contraction :premises (t44.t11))
% 1.06/1.24  (step t44.t13 (cl (=> (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule resolution :premises (t44.t2 t44.t12))
% 1.06/1.24  (step t44.t14 (cl (=> (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule implies_neg2)
% 1.06/1.24  (step t44.t15 (cl (=> (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (=> (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule resolution :premises (t44.t13 t44.t14))
% 1.06/1.24  (step t44.t16 (cl (=> (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule contraction :premises (t44.t15))
% 1.06/1.24  (step t44.t17 (cl (not (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule implies :premises (t44.t16))
% 1.06/1.24  (step t44.t18 (cl (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) :rule and_neg)
% 1.06/1.24  (step t44.t19 (cl (and (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) :rule resolution :premises (t44.t18 t44.a4 t44.a5 t44.a0 t44.a1 t44.a3 t44.a2))
% 1.06/1.24  (step t44.t20 (cl (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule resolution :premises (t44.t17 t44.t19))
% 1.06/1.24  (step t44.t21 (cl (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule resolution :premises (t44.t1 t44.a6 t44.t20))
% 1.06/1.24  (step t44 (cl (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule subproof :discharge (t44.a0 t44.a1 t44.a2 t44.a3 t44.a4 t44.a5 t44.a6))
% 1.06/1.24  (step t45 (cl (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) :rule and_pos)
% 1.06/1.24  (step t46 (cl (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) :rule and_pos)
% 1.06/1.24  (step t47 (cl (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) :rule and_pos)
% 1.06/1.24  (step t48 (cl (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) :rule and_pos)
% 1.06/1.24  (step t49 (cl (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) :rule and_pos)
% 1.06/1.24  (step t50 (cl (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule and_pos)
% 1.06/1.24  (step t51 (cl (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) :rule and_pos)
% 1.06/1.24  (step t52 (cl (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule resolution :premises (t44 t45 t46 t47 t48 t49 t50 t51))
% 1.06/1.24  (step t53 (cl (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule reordering :premises (t52))
% 1.06/1.24  (step t54 (cl (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule contraction :premises (t53))
% 1.06/1.24  (step t55 (cl (=> (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule resolution :premises (t43 t54))
% 1.06/1.24  (step t56 (cl (=> (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) (not (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))))) :rule implies_neg2)
% 1.06/1.24  (step t57 (cl (=> (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) (=> (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))))) :rule resolution :premises (t55 t56))
% 1.06/1.24  (step t58 (cl (=> (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (and (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))))) :rule contraction :premises (t57))
% 1.06/1.24  (step t59 (cl (not (and (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule resolution :premises (t19 t42 t58))
% 1.06/1.24  (step t60 (cl (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule not_and :premises (t59))
% 1.06/1.24  (step t61 (cl (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))))) :rule or_neg)
% 1.06/1.24  (step t62 (cl (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule or_neg)
% 1.06/1.24  (step t63 (cl (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))))) :rule or_neg)
% 1.06/1.24  (step t64 (cl (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))))) :rule or_neg)
% 1.06/1.24  (step t65 (cl (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))))) :rule or_neg)
% 1.06/1.24  (step t66 (cl (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))) :rule or_neg)
% 1.06/1.24  (step t67 (cl (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule or_neg)
% 1.06/1.24  (step t68 (cl (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule resolution :premises (t60 t61 t62 t63 t64 t65 t66 t67))
% 1.06/1.24  (step t69 (cl (or (not (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)))) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule contraction :premises (t68))
% 1.06/1.24  (step t70 (cl (or (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule resolution :premises (t1 t18 t69))
% 1.06/1.24  (step t71 (cl (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a)) (not (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) (not (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule or :premises (t70))
% 1.06/1.24  (step t72 (cl (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) :rule or_pos)
% 1.06/1.24  (step t73 (cl (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule reordering :premises (t72))
% 1.06/1.24  (step t74 (cl (not (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a))) (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) :rule or_pos)
% 1.06/1.24  (step t75 (cl (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a) (not (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)))) :rule reordering :premises (t74))
% 1.06/1.24  (step t76 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a))) (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)))) :rule implies_neg1)
% 1.06/1.24  (anchor :step t77)
% 1.06/1.24  (assume t77.a0 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 1.06/1.24  (step t77.t1 (cl (or (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)))) :rule forall_inst :args ((:= T tptp.t_a)))
% 1.06/1.24  (step t77.t2 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a))) :rule or :premises (t77.t1))
% 1.06/1.24  (step t77.t3 (cl (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a))) :rule resolution :premises (t77.t2 t77.a0))
% 1.06/1.24  (step t77 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a))) :rule subproof :discharge (t77.a0))
% 1.06/1.24  (step t78 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a))) :rule resolution :premises (t76 t77))
% 1.06/1.24  (step t79 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a))) (not (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)))) :rule implies_neg2)
% 1.06/1.24  (step t80 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a))) (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)))) :rule resolution :premises (t78 t79))
% 1.06/1.24  (step t81 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)))) :rule contraction :premises (t80))
% 1.06/1.24  (step t82 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a))) :rule implies :premises (t81))
% 1.06/1.24  (step t83 (cl (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a))) :rule resolution :premises (t82 a618))
% 1.06/1.24  (step t84 (cl (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) :rule resolution :premises (t75 a612 t83))
% 1.06/1.24  (step t85 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a))))) :rule implies_neg1)
% 1.06/1.24  (anchor :step t86)
% 1.06/1.24  (assume t86.a0 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 1.06/1.24  (step t86.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule forall_inst :args ((:= T_a tptp.t_a) (:= V_a (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a))))
% 1.06/1.24  (step t86.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule or :premises (t86.t1))
% 1.06/1.24  (step t86.t3 (cl (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule resolution :premises (t86.t2 t86.a0))
% 1.06/1.24  (step t86 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule subproof :discharge (t86.a0))
% 1.06/1.24  (step t87 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule resolution :premises (t85 t86))
% 1.06/1.24  (step t88 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule implies_neg2)
% 1.06/1.24  (step t89 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule resolution :premises (t87 t88))
% 1.06/1.24  (step t90 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule contraction :premises (t89))
% 1.06/1.24  (step t91 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule implies :premises (t90))
% 1.06/1.24  (step t92 (cl (not (= (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))) (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a))))) :rule equiv_pos2)
% 1.06/1.24  (anchor :step t93 :args ((T_a $$unsorted) (:= T_a T_a) (V_a $$unsorted) (:= V_a V_a)))
% 1.06/1.24  (step t93.t1 (cl (= T_a T_a)) :rule refl)
% 1.06/1.24  (step t93.t2 (cl (= V_a V_a)) :rule refl)
% 1.06/1.24  (step t93.t3 (cl (= (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)))) :rule refl)
% 1.06/1.24  (step t93.t4 (cl (= (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))) :rule all_simplify)
% 1.06/1.24  (step t93.t5 (cl (= (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)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a))))) :rule cong :premises (t93.t3 t93.t4))
% 1.06/1.24  (step t93 (cl (= (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))) :rule bind)
% 1.06/1.24  (step t94 (cl (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a))))) :rule resolution :premises (t92 t93 a41))
% 1.06/1.24  (step t95 (cl (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule resolution :premises (t91 t94))
% 1.06/1.24  (step t96 (cl (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) :rule resolution :premises (t73 t84 t95))
% 1.06/1.24  (step t97 (cl (not (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))) :rule or_pos)
% 1.06/1.24  (step t98 (cl (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)) (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (not (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule reordering :premises (t97))
% 1.06/1.24  (step t99 (cl (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (not (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) :rule or :premises (a570))
% 1.06/1.24  (step t100 (cl (not (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) :rule resolution :premises (t99 a612))
% 1.06/1.24  (step t101 (cl (not (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a))) (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) :rule or_pos)
% 1.06/1.24  (step t102 (cl (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a) (not (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)))) :rule reordering :premises (t101))
% 1.06/1.24  (step t103 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Odivision__ring T))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a))) (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Odivision__ring T)))) :rule implies_neg1)
% 1.06/1.24  (anchor :step t104)
% 1.06/1.24  (assume t104.a0 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Odivision__ring T))))
% 1.06/1.24  (step t104.t1 (cl (or (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Odivision__ring T)))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)))) :rule forall_inst :args ((:= T tptp.t_a)))
% 1.06/1.24  (step t104.t2 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Odivision__ring T)))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a))) :rule or :premises (t104.t1))
% 1.06/1.24  (step t104.t3 (cl (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a))) :rule resolution :premises (t104.t2 t104.a0))
% 1.06/1.24  (step t104 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Odivision__ring T)))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a))) :rule subproof :discharge (t104.a0))
% 1.06/1.24  (step t105 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Odivision__ring T))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a))) :rule resolution :premises (t103 t104))
% 1.06/1.24  (step t106 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Odivision__ring T))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a))) (not (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)))) :rule implies_neg2)
% 1.06/1.24  (step t107 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Odivision__ring T))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a))) (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Odivision__ring T))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)))) :rule resolution :premises (t105 t106))
% 1.06/1.24  (step t108 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Odivision__ring T))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)))) :rule contraction :premises (t107))
% 1.06/1.24  (step t109 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Odivision__ring T)))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a))) :rule implies :premises (t108))
% 1.06/1.24  (step t110 (cl (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a))) :rule resolution :premises (t109 a621))
% 1.06/1.24  (step t111 (cl (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) :rule resolution :premises (t102 a612 t110))
% 1.06/1.24  (step t112 (cl (not (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))))) (not (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule equiv_pos2)
% 1.06/1.24  (step t113 (cl (= (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))) :rule refl)
% 1.06/1.24  (step t114 (cl (= (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)))) :rule refl)
% 1.06/1.24  (step t115 (cl (= (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)))) :rule all_simplify)
% 1.06/1.24  (step t116 (cl (= (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) :rule refl)
% 1.06/1.24  (step t117 (cl (= (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule cong :premises (t114 t115 t116))
% 1.06/1.24  (step t118 (cl (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))))) :rule cong :premises (t113 t117))
% 1.06/1.24  (step t119 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) :rule implies_neg1)
% 1.06/1.24  (anchor :step t120)
% 1.06/1.24  (assume t120.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (step t120.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule forall_inst :args ((:= T_a tptp.t_a) (:= V_a tptp.v_a) (:= V_n (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 1.06/1.24  (step t120.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) :rule or :premises (t120.t1))
% 1.06/1.24  (step t120.t3 (cl (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) :rule resolution :premises (t120.t2 t120.a0))
% 1.06/1.24  (step t120 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) :rule subproof :discharge (t120.a0))
% 1.06/1.24  (step t121 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) :rule resolution :premises (t119 t120))
% 1.06/1.24  (step t122 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) (not (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule implies_neg2)
% 1.06/1.24  (step t123 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule resolution :premises (t121 t122))
% 1.06/1.24  (step t124 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule contraction :premises (t123))
% 1.06/1.24  (step t125 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule resolution :premises (t112 t118 t124))
% 1.06/1.24  (step t126 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) :rule implies :premises (t125))
% 1.06/1.24  (step t127 (cl (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) :rule resolution :premises (t126 a535))
% 1.06/1.24  (step t128 (cl (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) tptp.t_a) tptp.t_a))) :rule resolution :premises (t98 t100 t111 t127))
% 1.06/1.24  (step t129 (cl (not (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))) :rule or_pos)
% 1.06/1.24  (step t130 (cl (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)) (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (not (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule reordering :premises (t129))
% 1.06/1.24  (step t131 (cl (not (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))))) (not (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule equiv_pos2)
% 1.06/1.24  (step t132 (cl (= (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))) :rule refl)
% 1.06/1.24  (step t133 (cl (= (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)))) :rule all_simplify)
% 1.06/1.24  (step t134 (cl (= (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule cong :premises (t114 t133 t116))
% 1.06/1.24  (step t135 (cl (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))))) :rule cong :premises (t132 t134))
% 1.06/1.24  (step t136 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) :rule implies_neg1)
% 1.06/1.24  (anchor :step t137)
% 1.06/1.24  (assume t137.a0 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.06/1.24  (step t137.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule forall_inst :args ((:= T_a tptp.t_a) (:= V_a tptp.v_a)))
% 1.06/1.24  (step t137.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) :rule or :premises (t137.t1))
% 1.06/1.24  (step t137.t3 (cl (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) :rule resolution :premises (t137.t2 t137.a0))
% 1.06/1.24  (step t137 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) :rule subproof :discharge (t137.a0))
% 1.06/1.24  (step t138 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) :rule resolution :premises (t136 t137))
% 1.06/1.24  (step t139 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) (not (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule implies_neg2)
% 1.06/1.24  (step t140 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule resolution :premises (t138 t139))
% 1.06/1.24  (step t141 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule contraction :premises (t140))
% 1.06/1.24  (step t142 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a))))) :rule resolution :premises (t131 t135 t141))
% 1.06/1.24  (step t143 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a))))) (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) :rule implies :premises (t142))
% 1.06/1.24  (step t144 (cl (or (not (tptp.class_Ring__and__Field_Odivision__ring tptp.t_a)) (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a)) (= tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)))) :rule resolution :premises (t143 a177))
% 1.06/1.24  (step t145 (cl (= (tptp.c_HOL_Oone__class_Oone tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes tptp.v_a (tptp.c_HOL_Oinverse__class_Oinverse tptp.v_a tptp.t_a) tptp.t_a))) :rule resolution :premises (t130 t100 t111 t144))
% 1.06/1.24  (step t146 (cl (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)))) (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) :rule or_pos)
% 1.06/1.24  (step t147 (cl (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)) (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))))) :rule reordering :premises (t146))
% 1.06/1.24  (step t148 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a))))) :rule implies_neg1)
% 1.06/1.24  (anchor :step t149)
% 1.06/1.24  (assume t149.a0 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.06/1.24  (step t149.t1 (cl (or (not (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))))) :rule forall_inst :args ((:= T_a tptp.t_a) (:= V_x tptp.v_a)))
% 1.06/1.24  (step t149.t2 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)))) :rule or :premises (t149.t1))
% 1.06/1.24  (step t149.t3 (cl (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)))) :rule resolution :premises (t149.t2 t149.a0))
% 1.06/1.24  (step t149 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)))) :rule subproof :discharge (t149.a0))
% 1.06/1.24  (step t150 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)))) :rule resolution :premises (t148 t149))
% 1.06/1.24  (step t151 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)))) (not (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))))) :rule implies_neg2)
% 1.06/1.24  (step t152 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)))) (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))))) :rule resolution :premises (t150 t151))
% 1.06/1.24  (step t153 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))))) :rule contraction :premises (t152))
% 1.06/1.24  (step t154 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a))))) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)))) :rule implies :premises (t153))
% 1.06/1.24  (step t155 (cl (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.t_a)) (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a)))) :rule resolution :premises (t154 a345))
% 1.06/1.24  (step t156 (cl (= (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oone__class_Oone tptp.t_a))) :rule resolution :premises (t147 t84 t155))
% 1.06/1.24  (step t157 (cl (not (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) :rule or_pos)
% 1.06/1.24  (step t158 (cl (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)) (not (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule reordering :premises (t157))
% 1.06/1.24  (step t159 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a))))) :rule implies_neg1)
% 1.06/1.24  (anchor :step t160)
% 1.06/1.24  (assume t160.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 1.06/1.24  (step t160.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a))))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule forall_inst :args ((:= T_a tptp.t_a) (:= V_a (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a)) (:= V_b (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a))))
% 1.06/1.24  (step t160.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a))))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule or :premises (t160.t1))
% 1.06/1.24  (step t160.t3 (cl (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule resolution :premises (t160.t2 t160.a0))
% 1.06/1.24  (step t160 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a))))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule subproof :discharge (t160.a0))
% 1.06/1.24  (step t161 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule resolution :premises (t159 t160))
% 1.06/1.24  (step t162 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (not (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule implies_neg2)
% 1.06/1.24  (step t163 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule resolution :premises (t161 t162))
% 1.06/1.24  (step t164 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))))) :rule contraction :premises (t163))
% 1.06/1.24  (step t165 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a))))) (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule implies :premises (t164))
% 1.06/1.24  (step t166 (cl (or (not (tptp.class_Ring__and__Field_Ofield tptp.t_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a)))) :rule resolution :premises (t165 a135))
% 1.06/1.24  (step t167 (cl (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower tptp.v_a tptp.v_x tptp.t_a) tptp.t_a) tptp.t_a))) :rule resolution :premises (t158 a612 t166))
% 1.06/1.24  (step t168 (cl (=> (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule implies_neg1)
% 1.06/1.24  (anchor :step t169)
% 1.06/1.24  (assume t169.a0 (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 1.06/1.24  (step t169.t1 (cl (or (not (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule forall_inst :args ((:= V_m tptp.v_x)))
% 1.06/1.24  (step t169.t2 (cl (not (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule or :premises (t169.t1))
% 1.06/1.24  (step t169.t3 (cl (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule resolution :premises (t169.t2 t169.a0))
% 1.06/1.24  (step t169 (cl (not (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule subproof :discharge (t169.a0))
% 1.06/1.24  (step t170 (cl (=> (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule resolution :premises (t168 t169))
% 1.06/1.24  (step t171 (cl (=> (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule implies_neg2)
% 1.06/1.24  (step t172 (cl (=> (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (=> (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule resolution :premises (t170 t171))
% 1.06/1.24  (step t173 (cl (=> (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule contraction :premises (t172))
% 1.06/1.24  (step t174 (cl (not (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule implies :premises (t173))
% 1.06/1.24  (step t175 (cl (not (= (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) V_m)) (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))) (not (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) V_m))) (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule equiv_pos2)
% 1.06/1.24  (anchor :step t176 :args ((V_m $$unsorted) (:= V_m V_m)))
% 1.06/1.24  (step t176.t1 (cl (= V_m V_m)) :rule refl)
% 1.06/1.24  (step t176.t2 (cl (= (= (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) V_m) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule all_simplify)
% 1.06/1.24  (step t176 (cl (= (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) V_m)) (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))) :rule bind)
% 1.06/1.24  (step t177 (cl (forall ((V_m $$unsorted)) (= V_m (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule resolution :premises (t175 t176 a579))
% 1.06/1.24  (step t178 (cl (= tptp.v_x (tptp.c_HOL_Ominus__class_Ominus tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule resolution :premises (t174 t177))
% 1.06/1.24  (step t179 (cl) :rule resolution :premises (t71 t96 t128 t145 t156 t167 t178 a614))
% 1.06/1.24  
% 1.06/1.25  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.PKDWvwqNcG/cvc5---1.0.5_4261.smt2
% 1.06/1.25  % cvc5---1.0.5 exiting
% 1.06/1.25  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------