TSTP Solution File: ALG339-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG339-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 16:31:15 EDT 2024
% Result : Unsatisfiable 27.27s 27.54s
% Output : Proof 27.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.19 % Problem : ALG339-1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.20 % Command : do_cvc5 %s %d
% 0.19/0.41 % Computer : n012.cluster.edu
% 0.19/0.41 % Model : x86_64 x86_64
% 0.19/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.41 % Memory : 8042.1875MB
% 0.19/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.41 % CPULimit : 300
% 0.19/0.41 % WCLimit : 300
% 0.19/0.41 % DateTime : Sun May 26 10:10:09 EDT 2024
% 0.19/0.41 % CPUTime :
% 0.44/0.72 %----Proving TF0_NAR, FOF, or CNF
% 0.56/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.76/11.02 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.82/16.12 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.94/21.22 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.98/26.29 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.27/27.54 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.9OTiuH0HOj/cvc5---1.0.5_15839.smt2
% 27.27/27.54 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.9OTiuH0HOj/cvc5---1.0.5_15839.smt2
% 27.29/27.61 (assume a0 (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)))))
% 27.29/27.61 (assume a1 (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)))))
% 27.29/27.61 (assume a2 (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)))))
% 27.29/27.61 (assume a3 (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)))))
% 27.29/27.61 (assume a4 (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)))))
% 27.29/27.61 (assume a5 (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)))))
% 27.29/27.61 (assume a6 (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)))))
% 27.29/27.61 (assume a7 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a8 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a9 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a10 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a11 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a12 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a13 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a14 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a15 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a16 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a17 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a18 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a19 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a20 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a21 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a22 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a))) (= (tptp.c_HOL_Ozero__class_Ozero T_a) V_a))))
% 27.29/27.61 (assume a23 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a24 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a25 (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)))))
% 27.29/27.61 (assume a26 (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)))))
% 27.29/27.61 (assume a27 (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)))))
% 27.29/27.61 (assume a28 (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)))))
% 27.29/27.61 (assume a29 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_HOL_Osgn__class_Osgn V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a30 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (= (tptp.c_HOL_Osgn__class_Osgn V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a31 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_SEQ_Obanach T_a)) (not (tptp.class_RealVector_Oreal__normed__field T_a)) (not (= (tptp.c_Transcendental_Oexp V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 27.29/27.61 (assume a32 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 27.29/27.61 (assume a33 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))))
% 27.29/27.61 (assume a34 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 27.29/27.61 (assume a35 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a36 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) V_x))))
% 27.29/27.61 (assume a37 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))))
% 27.29/27.61 (assume a38 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 27.29/27.61 (assume a39 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))))
% 27.29/27.61 (assume a40 (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)))))
% 27.29/27.61 (assume a41 (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)))))
% 27.29/27.61 (assume a42 (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)))))
% 27.29/27.61 (assume a43 (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))))
% 27.29/27.61 (assume a44 (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))))
% 27.29/27.61 (assume a45 (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)))))
% 27.29/27.61 (assume a46 (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)))))
% 27.29/27.61 (assume a47 (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))))
% 27.29/27.61 (assume a48 (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))))
% 27.29/27.61 (assume a49 (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)))))
% 27.29/27.61 (assume a50 (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)))))
% 27.29/27.61 (assume a51 (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)))))
% 27.29/27.61 (assume a52 (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)))))
% 27.29/27.61 (assume a53 (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)))))
% 27.29/27.61 (assume a54 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) T_a)))))
% 27.29/27.61 (assume a55 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless V_z (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 27.29/27.61 (assume a56 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 27.29/27.61 (assume a57 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a)))))
% 27.29/27.61 (assume a58 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 27.29/27.61 (assume a59 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a)))))
% 27.29/27.61 (assume a60 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_a T_a)))))
% 27.29/27.61 (assume a61 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oabs__class_Oabs V_x T_a) V_y T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)))))
% 27.29/27.61 (assume a62 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a63 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a64 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a65 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a66 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a67 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a68 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a69 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osgn__if T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a70 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a71 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a72 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a73 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a74 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a75 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__ab__group__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a76 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (not (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a77 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a78 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (not (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_b V_x T_a))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a V_b))))
% 27.29/27.61 (assume a79 (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)))))
% 27.29/27.61 (assume a80 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) V_a))))
% 27.29/27.61 (assume a81 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) T_a) V_x))))
% 27.29/27.61 (assume a82 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= V_b (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 27.29/27.61 (assume a83 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= V_a (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 27.29/27.61 (assume a84 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) V_b))))
% 27.29/27.61 (assume a85 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ya $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) V_ya T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Odivide V_x V_ya T_a) (tptp.c_HOL_Oinverse__class_Odivide V_y V_ya T_a) T_a)))))
% 27.29/27.61 (assume a86 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Odivide V_a V_c T_a) (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) T_a)))))
% 27.29/27.61 (assume a87 (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)))))
% 27.29/27.61 (assume a88 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_SEQ_Obanach T_a)) (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_Transcendental_Oexp (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Oexp V_x T_a) (tptp.c_Transcendental_Oexp V_y T_a) T_a)))))
% 27.29/27.61 (assume a89 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a90 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a91 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) V_y)) (= V_x (tptp.c_HOL_Ouminus__class_Ouminus V_z T_a)))))
% 27.29/27.61 (assume a92 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_b_H $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_b_H T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_b T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_b_H T_a) T_a)))))
% 27.29/27.61 (assume a93 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_y T_a) T_a)))))
% 27.29/27.61 (assume a94 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a)))))
% 27.29/27.61 (assume a95 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a)))))
% 27.29/27.61 (assume a96 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_n T_a)))))
% 27.29/27.61 (assume a97 (forall ((V_x $$unsorted) (V_y $$unsorted)) (= (tptp.c_NthRoot_Osqrt (tptp.c_HOL_Otimes__class_Otimes V_x V_y tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_NthRoot_Osqrt V_x) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a98 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a99 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a100 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a101 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a102 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_e T_a) V_c T_a)))))
% 27.29/27.61 (assume a103 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_RealVector_OscaleR__class_OscaleR V_b V_x T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Otimes__class_Otimes V_a V_b tptp.tc_RealDef_Oreal) V_x T_a)))))
% 27.29/27.61 (assume a104 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) V_y T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a)))))
% 27.29/27.61 (assume a105 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)))))
% 27.29/27.61 (assume a106 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_x T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Oof__real V_r T_a) V_x T_a)))))
% 27.29/27.61 (assume a107 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 27.29/27.61 (assume a108 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_c (tptp.c_HOL_Oplus__class_Oplus V_a V_d T_a) T_a)))))
% 27.29/27.61 (assume a109 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) V_b T_a)))))
% 27.29/27.61 (assume a110 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) V_d T_a)))))
% 27.29/27.61 (assume a111 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 27.29/27.61 (assume a112 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_y (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a) T_a)))))
% 27.29/27.61 (assume a113 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) V_z T_a)))))
% 27.29/27.61 (assume a114 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 27.29/27.61 (assume a115 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a)))))
% 27.29/27.61 (assume a116 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a117 (forall ((V_z $$unsorted) (V_w $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes V_z V_w tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_w V_z tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a118 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_x T_a)))))
% 27.29/27.61 (assume a119 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) V_a))))
% 27.29/27.61 (assume a120 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_b T_a) V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_c T_a)))))
% 27.29/27.61 (assume a121 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_d T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_c T_a) T_a)))))
% 27.29/27.61 (assume a122 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a)))))
% 27.29/27.61 (assume a123 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a124 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (not (= (tptp.c_RealVector_Oof__real V_x T_a) (tptp.c_RealVector_Oof__real V_y T_a))) (= V_x V_y))))
% 27.29/27.61 (assume a125 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_b T_a) T_a)))))
% 27.29/27.61 (assume a126 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) T_a)))))
% 27.29/27.61 (assume a127 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_RealVector_Onorm__class_Onorm V_a T_a) tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm V_a T_a)))))
% 27.29/27.61 (assume a128 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Osgn__class_Osgn V_x T_a) (tptp.c_HOL_Oabs__class_Oabs V_x T_a) T_a) V_x))))
% 27.29/27.61 (assume a129 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Nat_Osemiring__char__0 T_a)) (not (= (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a))) (= V_m V_n))))
% 27.29/27.61 (assume a130 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_b T_a))) (= V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)) (= V_a V_b))))
% 27.29/27.61 (assume a131 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (= (tptp.c_RealDef_Oreal V_n tptp.tc_nat) (tptp.c_RealDef_Oreal V_m tptp.tc_nat))) (= V_n V_m))))
% 27.29/27.61 (assume a132 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_b T_a)))))
% 27.29/27.61 (assume a133 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a134 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_ly (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) T_a)))))
% 27.29/27.61 (assume a135 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a136 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_SEQ_Obanach T_a)) (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_Transcendental_Oexp (tptp.c_RealVector_Oof__real V_x T_a) T_a) (tptp.c_RealVector_Oof__real (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) T_a)))))
% 27.29/27.61 (assume a137 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_c T_a) V_a) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a138 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a139 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) V_c T_a) V_a))))
% 27.29/27.61 (assume a140 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a141 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a))) (= V_a V_b))))
% 27.29/27.61 (assume a142 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (not (= (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))) (= V_x V_y))))
% 27.29/27.61 (assume a143 (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)))))
% 27.29/27.61 (assume a144 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a)))))
% 27.29/27.61 (assume a145 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a146 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Osgn__class_Osgn V_x T_a) T_a)))))
% 27.29/27.61 (assume a147 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a)))))
% 27.29/27.61 (assume a148 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 27.29/27.61 (assume a149 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a)))))
% 27.29/27.61 (assume a150 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 27.29/27.61 (assume a151 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) T_a) V_b))))
% 27.29/27.61 (assume a152 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_NthRoot_Osqrt V_x) (tptp.c_NthRoot_Osqrt V_y))) (= V_x V_y))))
% 27.29/27.61 (assume a153 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_y tptp.tc_RealDef_Oreal))) (= V_x V_y))))
% 27.29/27.61 (assume a154 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a155 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_r $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_r V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_r V_d T_a) T_a))) (= V_c V_d) (= V_r (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a156 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a157 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a158 (forall ((V_x $$unsorted)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_RealDef_Oreal V_x tptp.tc_nat) tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Oreal V_x tptp.tc_nat))))
% 27.29/27.61 (assume a159 (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))))
% 27.29/27.61 (assume a160 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a))) (= V_a V_b))))
% 27.29/27.61 (assume a161 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (= (tptp.c_RealVector_Oof__real (tptp.c_HOL_Otimes__class_Otimes V_x V_y tptp.tc_RealDef_Oreal) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Oof__real V_x T_a) (tptp.c_RealVector_Oof__real V_y T_a) T_a)))))
% 27.29/27.61 (assume a162 (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)))))
% 27.29/27.61 (assume a163 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a164 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oabs__if T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a165 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a166 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) T_a) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a167 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) T_a) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a168 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 27.29/27.61 (assume a169 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 27.29/27.61 (assume a170 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 27.29/27.61 (assume a171 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 27.29/27.61 (assume a172 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 27.29/27.61 (assume a173 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a)))))
% 27.29/27.61 (assume a174 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 27.29/27.61 (assume a175 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_b T_a)))))
% 27.29/27.61 (assume a176 (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)))))
% 27.29/27.61 (assume a177 (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)))))
% 27.29/27.61 (assume a178 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 27.29/27.61 (assume a179 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 27.29/27.61 (assume a180 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) V_a T_a)))))
% 27.29/27.61 (assume a181 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a)))))
% 27.29/27.61 (assume a182 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 27.29/27.61 (assume a183 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 27.29/27.61 (assume a184 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a185 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (not (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_y T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (= V_x V_y))))
% 27.29/27.61 (assume a186 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x T_a) (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y T_a)))))
% 27.29/27.61 (assume a187 (forall ((V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_c tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_b V_c tptp.tc_RealDef_Oreal))) (= V_c (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (= V_a V_b))))
% 27.29/27.61 (assume a188 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_c V_a tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_c V_b tptp.tc_RealDef_Oreal))) (= V_c (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (= V_a V_b))))
% 27.29/27.61 (assume a189 (forall ((V_x $$unsorted)) (or (not (= (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (= V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a190 (not (= tptp.c_Transcendental_Opi (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a191 (= (tptp.c_NthRoot_Osqrt (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))
% 27.29/27.61 (assume a192 (forall ((V_n $$unsorted)) (= (tptp.c_NthRoot_Oroot V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a193 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (= (tptp.c_RealVector_Odist__class_Odist V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a194 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (= (tptp.c_RealVector_Odist__class_Odist V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (= V_x V_y))))
% 27.29/27.61 (assume a195 (forall ((V_x $$unsorted)) (or (= (tptp.c_Transcendental_Oexp (tptp.c_Transcendental_Oln V_x) tptp.tc_RealDef_Oreal) V_x) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a196 (forall ((V_x $$unsorted)) (or (not (= (tptp.c_Transcendental_Oexp (tptp.c_Transcendental_Oln V_x) tptp.tc_RealDef_Oreal) V_x)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a197 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a198 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a199 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_NthRoot_Osqrt V_x) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a200 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_NthRoot_Osqrt V_x) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a201 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a202 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 27.29/27.61 (assume a203 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a204 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 27.29/27.61 (assume a205 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 27.29/27.61 (assume a206 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 27.29/27.61 (assume a207 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 27.29/27.61 (assume a208 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 27.29/27.61 (assume a209 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a210 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 27.29/27.61 (assume a211 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a212 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a213 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a)))))
% 27.29/27.61 (assume a214 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oabs__if T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_a) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 27.29/27.61 (assume a215 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_a) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 27.29/27.61 (assume a216 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a217 (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)))))
% 27.29/27.61 (assume a218 (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)))))
% 27.29/27.61 (assume a219 (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)))))
% 27.29/27.61 (assume a220 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 27.29/27.61 (assume a221 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a222 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a223 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 27.29/27.61 (assume a224 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a225 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 27.29/27.61 (assume a226 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a227 (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)))))
% 27.29/27.61 (assume a228 (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)))))
% 27.29/27.61 (assume a229 (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)))))
% 27.29/27.61 (assume a230 (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)))))
% 27.29/27.61 (assume a231 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Osgn__class_Osgn V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a232 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Osgn__class_Osgn V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a233 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a234 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a235 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 27.29/27.61 (assume a236 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_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)))))
% 27.29/27.61 (assume a237 (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)))))
% 27.29/27.61 (assume a238 (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)))))
% 27.29/27.61 (assume a239 (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))))
% 27.29/27.61 (assume a240 (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)))))
% 27.29/27.61 (assume a241 (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))))
% 27.29/27.61 (assume a242 (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)))))
% 27.29/27.61 (assume a243 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 27.29/27.61 (assume a244 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a)))))
% 27.29/27.61 (assume a245 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 27.29/27.61 (assume a246 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a247 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a)))))
% 27.29/27.61 (assume a248 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a249 (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)))))
% 27.29/27.61 (assume a250 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 27.29/27.61 (assume a251 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 27.29/27.61 (assume a252 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a253 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a254 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a255 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 27.29/27.61 (assume a256 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a257 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a258 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a259 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a260 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a261 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a262 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 27.29/27.61 (assume a263 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_n T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a)))))
% 27.29/27.61 (assume a264 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a265 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a)))))
% 27.29/27.61 (assume a266 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_r $$unsorted) (V_s $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_r V_s tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm V_y T_a) V_s tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) V_r tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a267 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 27.29/27.61 (assume a268 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) V_rx T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_rx T_a) V_ly T_a)))))
% 27.29/27.61 (assume a269 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) V_rx T_a) (tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_ly V_rx T_a) T_a)))))
% 27.29/27.61 (assume a270 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_rx T_a) V_ry T_a)))))
% 27.29/27.61 (assume a271 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx (tptp.c_HOL_Otimes__class_Otimes V_lx V_ry T_a) T_a)))))
% 27.29/27.61 (assume a272 (forall ((V_z1 $$unsorted) (V_z2 $$unsorted) (V_z3 $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_z1 V_z2 tptp.tc_RealDef_Oreal) V_z3 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_z1 (tptp.c_HOL_Otimes__class_Otimes V_z2 V_z3 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a273 (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)))))
% 27.29/27.61 (assume a274 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 27.29/27.61 (assume a275 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_xa (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_xa V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_xa V_y T_a) T_a)))))
% 27.29/27.61 (assume a276 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_b_H $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_b_H T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b_H T_a) T_a)))))
% 27.29/27.61 (assume a277 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ya $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) V_ya T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_ya T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_ya T_a) T_a)))))
% 27.29/27.61 (assume a278 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_a_H T_a) V_b T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a_H V_b T_a) T_a)))))
% 27.29/27.61 (assume a279 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) T_a)))))
% 27.29/27.61 (assume a280 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 27.29/27.61 (assume a281 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 27.29/27.61 (assume a282 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a)))))
% 27.29/27.61 (assume a283 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_m T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_m T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_m T_a)))))
% 27.29/27.61 (assume a284 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 27.29/27.61 (assume a285 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) V_y T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a)))))
% 27.29/27.61 (assume a286 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 27.29/27.61 (assume a287 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_xa (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Otimes__class_Otimes V_xa V_x T_a) T_a)))))
% 27.29/27.61 (assume a288 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_b T_a)))))
% 27.29/27.61 (assume a289 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a)))))
% 27.29/27.61 (assume a290 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Osgn__class_Osgn V_a T_a) T_a) (tptp.c_HOL_Osgn__class_Osgn V_a T_a)))))
% 27.29/27.61 (assume a291 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (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_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse 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)))))
% 27.29/27.61 (assume a292 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a293 (forall ((T_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_k T_a) (tptp.c_HOL_Otimes__class_Otimes V_k (tptp.c_HOL_Osgn__class_Osgn V_k T_a) T_a)))))
% 27.29/27.61 (assume a294 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) V_z T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) T_a) V_y T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a295 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_z (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_z V_y T_a) T_a) V_y T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a296 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a)))))
% 27.29/27.61 (assume a297 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a298 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a)))))
% 27.29/27.61 (assume a299 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)))))
% 27.29/27.61 (assume a300 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a))) (= V_y V_z))))
% 27.29/27.61 (assume a301 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a))) (= V_b V_c))))
% 27.29/27.61 (assume a302 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a))) (= V_b V_c))))
% 27.29/27.61 (assume a303 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a))) (= V_b V_c))))
% 27.29/27.61 (assume a304 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a305 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a306 (forall ((V_y $$unsorted)) (= (tptp.c_Transcendental_Oln (tptp.c_Transcendental_Oexp V_y tptp.tc_RealDef_Oreal)) V_y)))
% 27.29/27.61 (assume a307 (forall ((V_u $$unsorted)) (= (tptp.c_Transcendental_Oln (tptp.c_Transcendental_Oexp V_u tptp.tc_RealDef_Oreal)) V_u)))
% 27.29/27.61 (assume a308 (forall ((V_x $$unsorted)) (= (tptp.c_Transcendental_Oln (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal)) V_x)))
% 27.29/27.61 (assume a309 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (= (tptp.c_RealVector_Odist__class_Odist V_x V_y T_a) (tptp.c_RealVector_Odist__class_Odist V_y V_x T_a)))))
% 27.29/27.61 (assume a310 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_a T_a) V_b T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_r (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 27.29/27.61 (assume a311 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_x T_a) V_y T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_r (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a)))))
% 27.29/27.61 (assume a312 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_b T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_r (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 27.29/27.61 (assume a313 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_r $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_xa (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_x T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_r (tptp.c_HOL_Otimes__class_Otimes V_xa V_x T_a) T_a)))))
% 27.29/27.61 (assume a314 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) V_y T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a)))))
% 27.29/27.61 (assume a315 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__algebra T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_y T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a)))))
% 27.29/27.61 (assume a316 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs V_a tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a317 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a318 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a319 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_SEQ_Obanach T_a)) (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Transcendental_Oexp V_x T_a) (tptp.c_Transcendental_Oexp V_y T_a) T_a) (tptp.c_Transcendental_Oexp (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) T_a)))))
% 27.29/27.61 (assume a320 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_y V_u T_a))) (= (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a) V_u))))
% 27.29/27.61 (assume a321 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_x T_a) V_y T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_r (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) T_a)))))
% 27.29/27.61 (assume a322 (forall ((T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra__1 T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_RealVector_Oof__real V_r T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs V_r tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a323 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a)))))
% 27.29/27.61 (assume a324 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) T_a) (tptp.c_RealVector_Onorm__class_Onorm V_x T_a)))))
% 27.29/27.61 (assume a325 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_b T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_r (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_b T_a) T_a)))))
% 27.29/27.61 (assume a326 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a (tptp.c_RealVector_OscaleR__class_OscaleR V_b V_x T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_b (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) T_a)))))
% 27.29/27.61 (assume a327 (forall ((T_a $$unsorted) (V_ra $$unsorted) (V_r $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR V_ra (tptp.c_RealVector_OscaleR__class_OscaleR V_r V_x T_a) T_a) (tptp.c_RealVector_OscaleR__class_OscaleR V_r (tptp.c_RealVector_OscaleR__class_OscaleR V_ra V_x T_a) T_a)))))
% 27.29/27.61 (assume a328 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a)))))
% 27.29/27.61 (assume a329 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Oplus__class_Oplus V_y V_x T_a)))))
% 27.29/27.61 (assume a330 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a)))))
% 27.29/27.61 (assume a331 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__div__algebra T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) (tptp.c_RealVector_Onorm__class_Onorm V_y T_a) tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a332 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a333 (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)))))
% 27.29/27.61 (assume a334 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b))))
% 27.29/27.61 (assume a335 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)))))
% 27.29/27.61 (assume a336 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_d T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a))) (= V_c V_d) (= V_a V_b))))
% 27.29/27.61 (assume a337 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_w V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_w V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a))) (= V_y V_z) (= V_w V_x))))
% 27.29/27.61 (assume a338 (forall ((V_x $$unsorted)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a339 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_a T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a)))))
% 27.29/27.61 (assume a340 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a341 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a342 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_w V_z T_a) T_a) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_w V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_z T_a) T_a)) (= V_z (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a343 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a344 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Odivide V_b V_c T_a) V_c T_a) V_b) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a345 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_n T_a) T_a) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a)))))
% 27.29/27.61 (assume a346 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_z T_a) (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) V_y))))
% 27.29/27.61 (assume a347 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) V_b))))
% 27.29/27.61 (assume a348 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 27.29/27.61 (assume a349 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a350 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_HOL_Oinverse__class_Oinverse V_y T_a) T_a)))))
% 27.29/27.61 (assume a351 (forall ((V_x $$unsorted)) (= (tptp.c_NthRoot_Osqrt (tptp.c_HOL_Otimes__class_Otimes V_x V_x tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oabs__class_Oabs V_x tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a352 (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)))))
% 27.29/27.61 (assume a353 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs V_a T_a) (tptp.c_HOL_Oabs__class_Oabs V_b T_a) T_a)))))
% 27.29/27.61 (assume a354 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_SEQ_Obanach T_a)) (not (tptp.class_RealVector_Oreal__normed__field T_a)) (= (tptp.c_Transcendental_Oexp (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) T_a) (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Transcendental_Oexp V_x T_a) T_a)))))
% 27.29/27.61 (assume a355 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a356 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_HOL_Oinverse__class_Odivide V_x V_y T_a) (tptp.c_HOL_Oinverse__class_Odivide V_w V_z T_a))) (= V_z (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_w V_y T_a)))))
% 27.29/27.61 (assume a357 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a358 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__div__algebra T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Osgn__class_Osgn V_x T_a) (tptp.c_HOL_Osgn__class_Osgn V_y T_a) T_a)))))
% 27.29/27.61 (assume a359 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Osgn__class_Osgn (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Osgn__class_Osgn V_a T_a) (tptp.c_HOL_Osgn__class_Osgn V_b T_a) T_a)))))
% 27.29/27.61 (assume a360 (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)))))
% 27.29/27.61 (assume a361 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 27.29/27.61 (assume a362 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 27.29/27.61 (assume a363 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Osgn__class_Osgn V_a T_a) T_a)))))
% 27.29/27.61 (assume a364 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 27.29/27.61 (assume a365 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a366 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_x V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a367 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a368 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs T_a)) (= (tptp.c_HOL_Oabs__class_Oabs V_a T_a) V_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 27.29/27.61 (assume a369 (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)))))
% 27.29/27.61 (assume a370 (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)))))
% 27.29/27.61 (assume a371 (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)))))
% 27.29/27.61 (assume a372 (forall ((T_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a373 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a374 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a375 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 27.29/27.61 (assume a376 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a377 (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)))))
% 27.29/27.61 (assume a378 (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)))))
% 27.29/27.61 (assume a379 (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)))))
% 27.29/27.61 (assume a380 (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)))))
% 27.29/27.61 (assume a381 (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)))))
% 27.29/27.61 (assume a382 (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)))))
% 27.29/27.61 (assume a383 (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)))))
% 27.29/27.61 (assume a384 (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)))))
% 27.29/27.61 (assume a385 (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)))))
% 27.29/27.61 (assume a386 (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)))))
% 27.29/27.61 (assume a387 (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)))))
% 27.29/27.61 (assume a388 (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)))))
% 27.29/27.61 (assume a389 (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)))))
% 27.29/27.61 (assume a390 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a391 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (not (= (tptp.c_RealVector_OscaleR__class_OscaleR V_a V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a392 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (not (= (tptp.c_RealVector_Oof__real V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a393 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (= (tptp.c_RealVector_Oof__real (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a394 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (= (tptp.c_RealVector_Oof__real (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a395 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (= (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a396 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a397 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a398 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_y (tptp.c_RealDef_Oreal__of__preal V_x) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a399 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a400 (forall ((V_x $$unsorted)) (or (= V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_x V_x tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a401 (forall ((V_r $$unsorted)) (or (= (tptp.c_HOL_Oabs__class_Oabs V_r tptp.tc_RealDef_Oreal) V_r) (tptp.c_HOL_Oord__class_Oless V_r (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a402 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1 V_x T_a) tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a403 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1 tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a404 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1 V_y T_a) tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a405 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 27.29/27.61 (assume a406 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1 V_y T_a) tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a407 (forall ((V_m $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Oreal__of__preal V_m) tptp.tc_RealDef_Oreal)))
% 27.29/27.61 (assume a408 (forall ((V_xa $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Oreal__of__preal V_xa) tptp.tc_RealDef_Oreal)))
% 27.29/27.61 (assume a409 (forall ((T_a $$unsorted) (V_vskULt $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1 V_vskULt V_r T_a) tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a410 (forall ((V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1 V_y) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a411 (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a412 (forall ((V_a $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1 V_a V_n) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_a tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a413 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Deriv_Osko__Deriv__Xlemma__interval__1__1 V_a V_b V_x) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_b tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_a V_x tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a414 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osqrt V_x) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a415 (forall ((V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a416 (forall ((V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_NthRoot_Osqrt V_y) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a417 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Oln V_x) (tptp.c_Transcendental_Oln V_y) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a418 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Oln V_x) (tptp.c_Transcendental_Oln V_y) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a419 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Transcendental_Oln V_x) (tptp.c_Transcendental_Oln V_y))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)) (= V_x V_y))))
% 27.29/27.61 (assume a420 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Oln V_x) V_x tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a421 (forall ((V_n $$unsorted) (V_x $$unsorted)) (or (= (tptp.c_NthRoot_Oroot V_n V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a422 (forall ((T_a $$unsorted) (V_vskULo $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1 V_vskULo T_a) tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a423 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1 V_a V_b V_x) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_b tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_a V_x tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a424 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Odist__class_Odist V_x V_y T_a) tptp.tc_RealDef_Oreal) (= V_x V_y))))
% 27.29/27.61 (assume a425 (forall ((T_a $$unsorted) (V_vskULr $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1 V_vskULr T_a) tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a426 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Odist__class_Odist V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a427 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1 tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a428 (forall ((V_x $$unsorted)) (or (not (= (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a429 (forall ((V_x $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a430 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_x V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a431 (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a432 (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a433 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Odist__class_Odist V_x V_x T_a) tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a434 (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Oreal V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a435 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a436 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a437 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_NthRoot_Osqrt V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a438 (not (tptp.c_HOL_Oord__class_Oless tptp.c_Transcendental_Opi (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 27.29/27.61 (assume a439 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1 tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a440 (forall ((T_a $$unsorted) (V_vskULn $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1 V_vskULn T_a) tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a441 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_z V_x tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_z V_y tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a442 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_x V_z tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_z tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a443 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_x V_z tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes V_y V_z tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_z tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a444 (forall ((V_x $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_Transcendental_Oexp V_x tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))
% 27.29/27.61 (assume a445 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1 V_x T_a) tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a446 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm V_x T_a) tptp.tc_RealDef_Oreal) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 27.29/27.61 (assume a447 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a448 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 27.29/27.61 (assume a449 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a450 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 27.29/27.61 (assume a451 (forall ((T_a $$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)))))
% 27.29/27.61 (assume a452 (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)))))
% 27.29/27.61 (assume a453 (forall ((V_x $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_RealDef_Oreal))))
% 27.29/27.61 (assume a454 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 27.29/27.61 (assume a455 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 27.29/27.61 (assume a456 (forall ((T_a $$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))))
% 27.29/27.61 (assume a457 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 27.29/27.61 (assume a458 (forall ((T_a $$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))))
% 27.29/27.61 (assume a459 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 27.29/27.61 (assume a460 (forall ((T_a $$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))))
% 27.29/27.61 (assume a461 (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)))))
% 27.29/27.61 (assume a462 (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)))))
% 27.29/27.61 (assume a463 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a464 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a465 (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (assume a466 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat))
% 27.29/27.61 (assume a467 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat))
% 27.29/27.61 (assume a468 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat))
% 27.29/27.61 (assume a469 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat))
% 27.29/27.61 (assume a470 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat))
% 27.29/27.61 (assume a471 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat))
% 27.29/27.61 (assume a472 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat))
% 27.29/27.61 (assume a473 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat))
% 27.29/27.61 (assume a474 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat))
% 27.29/27.61 (assume a475 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat))
% 27.29/27.61 (assume a476 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat))
% 27.29/27.61 (assume a477 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat))
% 27.29/27.61 (assume a478 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat))
% 27.29/27.61 (assume a479 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat))
% 27.29/27.61 (assume a480 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat))
% 27.29/27.61 (assume a481 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat))
% 27.29/27.61 (assume a482 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat))
% 27.29/27.61 (assume a483 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat))
% 27.29/27.61 (assume a484 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat))
% 27.29/27.61 (assume a485 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat))
% 27.29/27.61 (assume a486 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat))
% 27.29/27.61 (assume a487 (tptp.class_Orderings_Opreorder tptp.tc_nat))
% 27.29/27.61 (assume a488 (tptp.class_Orderings_Olinorder tptp.tc_nat))
% 27.29/27.61 (assume a489 (tptp.class_Orderings_Oorder tptp.tc_nat))
% 27.29/27.61 (assume a490 (tptp.class_Power_Opower tptp.tc_nat))
% 27.29/27.61 (assume a491 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a492 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a493 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a494 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a495 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a496 (tptp.class_OrderedGroup_Opordered__ab__group__add__abs tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a497 (tptp.class_OrderedGroup_Olordered__ab__group__add__abs tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a498 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a499 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a500 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a501 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a502 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a503 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a504 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a505 (tptp.class_OrderedGroup_Oordered__ab__group__add tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a506 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a507 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a508 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a509 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a510 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a511 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a512 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a513 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a514 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a515 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a516 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a517 (tptp.class_Ring__and__Field_Oordered__field tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a518 (tptp.class_Ring__and__Field_Odivision__ring tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a519 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a520 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a521 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a522 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a523 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a524 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a525 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a526 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a527 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a528 (tptp.class_Ring__and__Field_Osemiring tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a529 (tptp.class_RealVector_Oreal__algebra tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a530 (tptp.class_RealVector_Ometric__space tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a531 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a532 (tptp.class_RealVector_Oreal__vector tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a533 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a534 (tptp.class_Ring__and__Field_Osgn__if tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a535 (tptp.class_Ring__and__Field_Oabs__if tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a536 (tptp.class_Ring__and__Field_Ofield tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a537 (tptp.class_Ring__and__Field_Oring tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a538 (tptp.class_Ring__and__Field_Oidom tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a539 (tptp.class_Nat_Osemiring__char__0 tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a540 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a541 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a542 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a543 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a544 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume a545 (tptp.class_SEQ_Obanach tptp.tc_RealDef_Oreal))
% 27.29/27.61 (step t1 (cl (not (= (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (not (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule equiv_pos2)
% 27.29/27.61 (step t2 (cl (= (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule refl)
% 27.29/27.61 (step t3 (cl (= (not (= tptp.v_d1 tptp.v_d2)) (not (= tptp.v_d1 tptp.v_d2)))) :rule refl)
% 27.29/27.61 (step t4 (cl (= (= (= (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) true) (= (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule equiv_simplify)
% 27.29/27.61 (step t5 (cl (not (= (= (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) true)) (= (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule equiv1 :premises (t4))
% 27.29/27.61 (step t6 (cl (= (= (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))))) :rule all_simplify)
% 27.29/27.61 (step t7 (cl (= (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule refl)
% 27.29/27.61 (step t8 (cl (= (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule all_simplify)
% 27.29/27.61 (step t9 (cl (= (= (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (= (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule cong :premises (t7 t8))
% 27.29/27.61 (step t10 (cl (= (= (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) true)) :rule all_simplify)
% 27.29/27.61 (step t11 (cl (= (= (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) true)) :rule trans :premises (t9 t10))
% 27.29/27.61 (step t12 (cl (= (= (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) true)) :rule trans :premises (t6 t11))
% 27.29/27.61 (step t13 (cl (= (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule resolution :premises (t5 t12))
% 27.29/27.61 (step t14 (cl (= (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule cong :premises (t2 t3 t13))
% 27.29/27.61 (step t15 (cl (not (= (=> (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) (not (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))))) (not (=> (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)))) (not (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule equiv_pos2)
% 27.29/27.61 (step t16 (cl (= (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule refl)
% 27.29/27.61 (step t17 (cl (= (= (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) false) (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule equiv_simplify)
% 27.29/27.61 (step t18 (cl (= (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) false) (not (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule equiv2 :premises (t17))
% 27.29/27.61 (step t19 (cl (not (not (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))))) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule not_not)
% 27.29/27.61 (step t20 (cl (= (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) false) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule resolution :premises (t18 t19))
% 27.29/27.61 (step t21 (cl (=> (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) false) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule implies_neg1)
% 27.29/27.61 (anchor :step t22)
% 27.29/27.61 (assume t22.a0 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))
% 27.29/27.61 (assume t22.a1 (= tptp.v_d1 tptp.v_d2))
% 27.29/27.61 (assume t22.a2 (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))
% 27.29/27.61 (step t22.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 27.29/27.61 (step t22.t2 (cl (= (= true false) false)) :rule all_simplify)
% 27.29/27.61 (step t22.t3 (cl (= (= (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) true) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule equiv_simplify)
% 27.29/27.61 (step t22.t4 (cl (= (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) true) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule equiv2 :premises (t22.t3))
% 27.29/27.61 (step t22.t5 (cl (= (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) true)) :rule resolution :premises (t22.t4 t22.a2))
% 27.29/27.61 (step t22.t6 (cl (= true (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule symm :premises (t22.t5))
% 27.29/27.61 (step t22.t7 (cl (= (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1))) :rule refl)
% 27.29/27.61 (step t22.t8 (cl (= tptp.v_d2 tptp.v_d1)) :rule symm :premises (t22.a1))
% 27.29/27.61 (step t22.t9 (cl (= tptp.v_d1 tptp.v_d2)) :rule symm :premises (t22.t8))
% 27.29/27.61 (step t22.t10 (cl (= tptp.tc_RealDef_Oreal tptp.tc_RealDef_Oreal)) :rule refl)
% 27.29/27.61 (step t22.t11 (cl (= (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule cong :premises (t22.t7 t22.t9 t22.t10))
% 27.29/27.61 (step t22.t12 (cl (= (= (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) false) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule equiv_simplify)
% 27.29/27.61 (step t22.t13 (cl (= (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) false) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule equiv2 :premises (t22.t12))
% 27.29/27.61 (step t22.t14 (cl (not (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) :rule not_not)
% 27.29/27.61 (step t22.t15 (cl (= (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) false) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) :rule resolution :premises (t22.t13 t22.t14))
% 27.29/27.61 (step t22.t16 (cl (= (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) false)) :rule resolution :premises (t22.t15 t22.a0))
% 27.29/27.61 (step t22.t17 (cl (= true false)) :rule trans :premises (t22.t6 t22.t11 t22.t16))
% 27.29/27.61 (step t22.t18 (cl false) :rule resolution :premises (t22.t1 t22.t2 t22.t17))
% 27.29/27.61 (step t22 (cl (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (not (= tptp.v_d1 tptp.v_d2)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) false) :rule subproof :discharge (t22.a0 t22.a1 t22.a2))
% 27.29/27.61 (step t23 (cl (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule and_pos)
% 27.29/27.61 (step t24 (cl (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) (= tptp.v_d1 tptp.v_d2)) :rule and_pos)
% 27.29/27.61 (step t25 (cl (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) :rule and_pos)
% 27.29/27.61 (step t26 (cl false (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t22 t23 t24 t25))
% 27.29/27.61 (step t27 (cl (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) false) :rule reordering :premises (t26))
% 27.29/27.61 (step t28 (cl (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) false) :rule contraction :premises (t27))
% 27.29/27.61 (step t29 (cl (=> (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) false) false) :rule resolution :premises (t21 t28))
% 27.29/27.61 (step t30 (cl (=> (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) false) (not false)) :rule implies_neg2)
% 27.29/27.61 (step t31 (cl (=> (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) false) (=> (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) false)) :rule resolution :premises (t29 t30))
% 27.29/27.61 (step t32 (cl (=> (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) false)) :rule contraction :premises (t31))
% 27.29/27.61 (step t33 (cl (= (=> (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) false) (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule implies_simplify)
% 27.29/27.61 (step t34 (cl (not (=> (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) false)) (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule equiv1 :premises (t33))
% 27.29/27.61 (step t35 (cl (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t32 t34))
% 27.29/27.61 (step t36 (cl (= (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) false)) :rule resolution :premises (t20 t35))
% 27.29/27.61 (step t37 (cl (= (=> (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) (=> (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) false))) :rule cong :premises (t16 t36))
% 27.29/27.61 (step t38 (cl (= (=> (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) false) (not (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))))) :rule all_simplify)
% 27.29/27.61 (step t39 (cl (= (=> (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) (not (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))))) :rule trans :premises (t37 t38))
% 27.29/27.61 (step t40 (cl (=> (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule implies_neg1)
% 27.29/27.61 (anchor :step t41)
% 27.29/27.61 (assume t41.a0 (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))
% 27.29/27.61 (assume t41.a1 (= tptp.v_d1 tptp.v_d2))
% 27.29/27.61 (assume t41.a2 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))
% 27.29/27.61 (step t41.t1 (cl (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (not (= tptp.v_d1 tptp.v_d2)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule and_neg)
% 27.29/27.61 (step t41.t2 (cl (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule resolution :premises (t41.t1 t41.a2 t41.a1 t41.a0))
% 27.29/27.61 (step t41 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule subproof :discharge (t41.a0 t41.a1 t41.a2))
% 27.29/27.61 (step t42 (cl (not (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) :rule and_pos)
% 27.29/27.61 (step t43 (cl (not (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (= tptp.v_d1 tptp.v_d2)) :rule and_pos)
% 27.29/27.61 (step t44 (cl (not (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule and_pos)
% 27.29/27.61 (step t45 (cl (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (not (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (not (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t41 t42 t43 t44))
% 27.29/27.61 (step t46 (cl (not (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (not (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (not (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule reordering :premises (t45))
% 27.29/27.61 (step t47 (cl (not (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule contraction :premises (t46))
% 27.29/27.61 (step t48 (cl (=> (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule resolution :premises (t40 t47))
% 27.29/27.61 (step t49 (cl (=> (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) (not (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule implies_neg2)
% 27.29/27.61 (step t50 (cl (=> (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal))) (=> (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t48 t49))
% 27.29/27.61 (step t51 (cl (=> (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) (and (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (= tptp.v_d1 tptp.v_d2) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule contraction :premises (t50))
% 27.29/27.61 (step t52 (cl (not (and (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t15 t39 t51))
% 27.29/27.61 (step t53 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule not_and :premises (t52))
% 27.29/27.61 (step t54 (cl (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule or_neg)
% 27.29/27.61 (step t55 (cl (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (not (not (= tptp.v_d1 tptp.v_d2)))) :rule or_neg)
% 27.29/27.61 (step t56 (cl (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (not (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule or_neg)
% 27.29/27.61 (step t57 (cl (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t53 t54 t55 t56))
% 27.29/27.61 (step t58 (cl (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (not (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule contraction :premises (t57))
% 27.29/27.61 (step t59 (cl (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule resolution :premises (t1 t14 t58))
% 27.29/27.61 (step t60 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (= tptp.v_d1 tptp.v_d2)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) :rule or :premises (t59))
% 27.29/27.61 (step t61 (cl (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2))) (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2)) :rule or_pos)
% 27.29/27.61 (step t62 (cl (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2) (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2)))) :rule reordering :premises (t61))
% 27.29/27.61 (step t63 (cl (not (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal)))) (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule or_pos)
% 27.29/27.61 (step t64 (cl (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule reordering :premises (t63))
% 27.29/27.61 (step t65 (cl (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule or_pos)
% 27.29/27.61 (step t66 (cl (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule contraction :premises (t65))
% 27.29/27.61 (step t67 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule reordering :premises (t66))
% 27.29/27.61 (step t68 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) :rule implies_neg1)
% 27.29/27.61 (anchor :step t69)
% 27.29/27.61 (assume t69.a0 (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (step t69.t1 (cl (or (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule forall_inst :args ((:= V_d1 tptp.v_d1) (:= V_d2 tptp.v_d1)))
% 27.29/27.61 (step t69.t2 (cl (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule or :premises (t69.t1))
% 27.29/27.61 (step t69.t3 (cl (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t69.t2 t69.a0))
% 27.29/27.61 (step t69 (cl (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule subproof :discharge (t69.a0))
% 27.29/27.61 (step t70 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t68 t69))
% 27.29/27.61 (step t71 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule implies_neg2)
% 27.29/27.61 (step t72 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t70 t71))
% 27.29/27.61 (step t73 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule contraction :premises (t72))
% 27.29/27.61 (step t74 (cl (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule implies :premises (t73))
% 27.29/27.61 (step t75 (cl (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t74 a431))
% 27.29/27.61 (step t76 (cl (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) :rule resolution :premises (t67 a463 t75))
% 27.29/27.61 (step t77 (cl (not (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal)))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal))) :rule or_pos)
% 27.29/27.61 (step t78 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal)) (not (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal))))) :rule reordering :premises (t77))
% 27.29/27.61 (step t79 (cl (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule or_pos)
% 27.29/27.61 (step t80 (cl (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule contraction :premises (t79))
% 27.29/27.61 (step t81 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule reordering :premises (t80))
% 27.29/27.61 (step t82 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) :rule implies_neg1)
% 27.29/27.61 (anchor :step t83)
% 27.29/27.61 (assume t83.a0 (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (step t83.t1 (cl (or (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule forall_inst :args ((:= V_d1 tptp.v_d1) (:= V_d2 tptp.v_d1)))
% 27.29/27.61 (step t83.t2 (cl (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule or :premises (t83.t1))
% 27.29/27.61 (step t83.t3 (cl (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t83.t2 t83.a0))
% 27.29/27.61 (step t83 (cl (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule subproof :discharge (t83.a0))
% 27.29/27.61 (step t84 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t82 t83))
% 27.29/27.61 (step t85 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule implies_neg2)
% 27.29/27.61 (step t86 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t84 t85))
% 27.29/27.61 (step t87 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule contraction :premises (t86))
% 27.29/27.61 (step t88 (cl (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule implies :premises (t87))
% 27.29/27.61 (step t89 (cl (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t88 a411))
% 27.29/27.61 (step t90 (cl (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal)) :rule resolution :premises (t81 a463 t89))
% 27.29/27.61 (step t91 (cl (=> (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal)))) (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal))))) :rule implies_neg1)
% 27.29/27.61 (anchor :step t92)
% 27.29/27.61 (assume t92.a0 (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (step t92.t1 (cl (or (not (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal))))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal))))) :rule forall_inst :args ((:= V_x (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1))))
% 27.29/27.61 (step t92.t2 (cl (not (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal))))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal)))) :rule or :premises (t92.t1))
% 27.29/27.61 (step t92.t3 (cl (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t92.t2 t92.a0))
% 27.29/27.61 (step t92 (cl (not (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal))))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal)))) :rule subproof :discharge (t92.a0))
% 27.29/27.61 (step t93 (cl (=> (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t91 t92))
% 27.29/27.61 (step t94 (cl (=> (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal)))) (not (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal))))) :rule implies_neg2)
% 27.29/27.61 (step t95 (cl (=> (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal)))) (=> (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t93 t94))
% 27.29/27.61 (step t96 (cl (=> (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal))))) :rule contraction :premises (t95))
% 27.29/27.61 (step t97 (cl (not (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal))))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal)))) :rule implies :premises (t96))
% 27.29/27.61 (step t98 (cl (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t97 a465))
% 27.29/27.61 (step t99 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule resolution :premises (t78 t76 t90 t98))
% 27.29/27.61 (step t100 (cl (=> (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal)))) (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))))) :rule implies_neg1)
% 27.29/27.61 (anchor :step t101)
% 27.29/27.61 (assume t101.a0 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 27.29/27.61 (step t101.t1 (cl (or (not (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule forall_inst :args ((:= T_a tptp.tc_RealDef_Oreal) (:= V_z (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1)) (:= V_x tptp.v_d2) (:= V_y tptp.v_d1)))
% 27.29/27.61 (step t101.t2 (cl (not (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule or :premises (t101.t1))
% 27.29/27.61 (step t101.t3 (cl (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t101.t2 t101.a0))
% 27.29/27.61 (step t101 (cl (not (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule subproof :discharge (t101.a0))
% 27.29/27.61 (step t102 (cl (=> (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal)))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t100 t101))
% 27.29/27.61 (step t103 (cl (=> (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal)))) (not (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule implies_neg2)
% 27.29/27.61 (step t104 (cl (=> (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal)))) (=> (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t102 t103))
% 27.29/27.61 (step t105 (cl (=> (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule contraction :premises (t104))
% 27.29/27.61 (step t106 (cl (not (forall ((T_a $$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))))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule implies :premises (t105))
% 27.29/27.61 (step t107 (cl (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d1 tptp.v_d1) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t106 a461))
% 27.29/27.61 (step t108 (cl (not (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule resolution :premises (t64 a542 t76 t99 t107))
% 27.29/27.61 (step t109 (cl (not (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal)))) (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule or_pos)
% 27.29/27.61 (step t110 (cl (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule reordering :premises (t109))
% 27.29/27.61 (step t111 (cl (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule or_pos)
% 27.29/27.61 (step t112 (cl (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule contraction :premises (t111))
% 27.29/27.61 (step t113 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule reordering :premises (t112))
% 27.29/27.61 (step t114 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) :rule implies_neg1)
% 27.29/27.61 (anchor :step t115)
% 27.29/27.61 (assume t115.a0 (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (step t115.t1 (cl (or (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule forall_inst :args ((:= V_d1 tptp.v_d2) (:= V_d2 tptp.v_d2)))
% 27.29/27.61 (step t115.t2 (cl (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule or :premises (t115.t1))
% 27.29/27.61 (step t115.t3 (cl (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t115.t2 t115.a0))
% 27.29/27.61 (step t115 (cl (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule subproof :discharge (t115.a0))
% 27.29/27.61 (step t116 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t114 t115))
% 27.29/27.61 (step t117 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule implies_neg2)
% 27.29/27.61 (step t118 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t116 t117))
% 27.29/27.61 (step t119 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule contraction :premises (t118))
% 27.29/27.61 (step t120 (cl (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) V_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule implies :premises (t119))
% 27.29/27.61 (step t121 (cl (or (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t120 a431))
% 27.29/27.61 (step t122 (cl (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) :rule resolution :premises (t113 a464 t121))
% 27.29/27.61 (step t123 (cl (not (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal)))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal))) :rule or_pos)
% 27.29/27.61 (step t124 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal)) (not (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal))))) :rule reordering :premises (t123))
% 27.29/27.61 (step t125 (cl (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule or_pos)
% 27.29/27.61 (step t126 (cl (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal))) :rule contraction :premises (t125))
% 27.29/27.61 (step t127 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule reordering :premises (t126))
% 27.29/27.61 (step t128 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) :rule implies_neg1)
% 27.29/27.61 (anchor :step t129)
% 27.29/27.61 (assume t129.a0 (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (step t129.t1 (cl (or (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule forall_inst :args ((:= V_d1 tptp.v_d2) (:= V_d2 tptp.v_d2)))
% 27.29/27.61 (step t129.t2 (cl (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule or :premises (t129.t1))
% 27.29/27.61 (step t129.t3 (cl (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t129.t2 t129.a0))
% 27.29/27.61 (step t129 (cl (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule subproof :discharge (t129.a0))
% 27.29/27.61 (step t130 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t128 t129))
% 27.29/27.61 (step t131 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (not (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule implies_neg2)
% 27.29/27.61 (step t132 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t130 t131))
% 27.29/27.61 (step t133 (cl (=> (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal)))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal))))) :rule contraction :premises (t132))
% 27.29/27.61 (step t134 (cl (not (forall ((V_d1 $$unsorted) (V_d2 $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 V_d1 V_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_d1 tptp.tc_RealDef_Oreal))))) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule implies :premises (t133))
% 27.29/27.61 (step t135 (cl (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.v_d2 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t134 a411))
% 27.29/27.61 (step t136 (cl (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal)) :rule resolution :premises (t127 a464 t135))
% 27.29/27.61 (step t137 (cl (=> (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal)))) (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal))))) :rule implies_neg1)
% 27.29/27.61 (anchor :step t138)
% 27.29/27.61 (assume t138.a0 (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))))
% 27.29/27.61 (step t138.t1 (cl (or (not (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal))))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal))))) :rule forall_inst :args ((:= V_x (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2))))
% 27.29/27.61 (step t138.t2 (cl (not (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal))))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal)))) :rule or :premises (t138.t1))
% 27.29/27.61 (step t138.t3 (cl (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t138.t2 t138.a0))
% 27.29/27.61 (step t138 (cl (not (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal))))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal)))) :rule subproof :discharge (t138.a0))
% 27.29/27.61 (step t139 (cl (=> (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t137 t138))
% 27.29/27.61 (step t140 (cl (=> (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal)))) (not (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal))))) :rule implies_neg2)
% 27.29/27.61 (step t141 (cl (=> (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal)))) (=> (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t139 t140))
% 27.29/27.61 (step t142 (cl (=> (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal)))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal))))) :rule contraction :premises (t141))
% 27.29/27.61 (step t143 (cl (not (forall ((V_x $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless V_x tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) V_x tptp.tc_RealDef_Oreal))))) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal)))) :rule implies :premises (t142))
% 27.29/27.61 (step t144 (cl (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t143 a465))
% 27.29/27.61 (step t145 (cl (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule resolution :premises (t124 t122 t136 t144))
% 27.29/27.61 (step t146 (cl (=> (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal)))) (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))))) :rule implies_neg1)
% 27.29/27.61 (anchor :step t147)
% 27.29/27.61 (assume t147.a0 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 27.29/27.61 (step t147.t1 (cl (or (not (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule forall_inst :args ((:= T_a tptp.tc_RealDef_Oreal) (:= V_z (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2)) (:= V_x tptp.v_d1) (:= V_y tptp.v_d2)))
% 27.29/27.61 (step t147.t2 (cl (not (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule or :premises (t147.t1))
% 27.29/27.61 (step t147.t3 (cl (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t147.t2 t147.a0))
% 27.29/27.61 (step t147 (cl (not (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule subproof :discharge (t147.a0))
% 27.29/27.61 (step t148 (cl (=> (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal)))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t146 t147))
% 27.29/27.61 (step t149 (cl (=> (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal)))) (not (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule implies_neg2)
% 27.29/27.61 (step t150 (cl (=> (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal)))) (=> (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t148 t149))
% 27.29/27.61 (step t151 (cl (=> (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal))))) :rule contraction :premises (t150))
% 27.29/27.61 (step t152 (cl (not (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))))) (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule implies :premises (t151))
% 27.29/27.61 (step t153 (cl (or (not (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d1 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 tptp.v_d2 tptp.v_d2) tptp.v_d2 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t152 a461))
% 27.29/27.61 (step t154 (cl (not (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal))) :rule resolution :premises (t110 a542 t122 t145 t153))
% 27.29/27.61 (step t155 (cl (=> (forall ((T_a $$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_y V_x))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_y V_x)))) :rule implies_neg1)
% 27.29/27.61 (anchor :step t156)
% 27.29/27.61 (assume t156.a0 (forall ((T_a $$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_y V_x))))
% 27.29/27.61 (step t156.t1 (cl (or (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_y V_x)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2)))) :rule forall_inst :args ((:= T_a tptp.tc_RealDef_Oreal) (:= V_y tptp.v_d1) (:= V_x tptp.v_d2)))
% 27.29/27.61 (step t156.t2 (cl (not (forall ((T_a $$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_y V_x)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2))) :rule or :premises (t156.t1))
% 27.29/27.61 (step t156.t3 (cl (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2))) :rule resolution :premises (t156.t2 t156.a0))
% 27.29/27.61 (step t156 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_y V_x)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2))) :rule subproof :discharge (t156.a0))
% 27.29/27.61 (step t157 (cl (=> (forall ((T_a $$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_y V_x))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2))) :rule resolution :premises (t155 t156))
% 27.29/27.61 (step t158 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_y V_x))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2))) (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2)))) :rule implies_neg2)
% 27.29/27.61 (step t159 (cl (=> (forall ((T_a $$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_y V_x))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2))) (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_y V_x))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2)))) :rule resolution :premises (t157 t158))
% 27.29/27.61 (step t160 (cl (=> (forall ((T_a $$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_y V_x))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2)))) :rule contraction :premises (t159))
% 27.29/27.61 (step t161 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_y V_x)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2))) :rule implies :premises (t160))
% 27.29/27.61 (step t162 (cl (not (= (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_y V_x))))) (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y)))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_y V_x)))) :rule equiv_pos2)
% 27.29/27.61 (anchor :step t163 :args ((T_a $$unsorted) (:= T_a T_a) (V_y $$unsorted) (:= V_y V_y) (V_x $$unsorted) (:= V_x V_x)))
% 27.29/27.61 (step t163.t1 (cl (= T_a T_a)) :rule refl)
% 27.29/27.61 (step t163.t2 (cl (= V_y V_y)) :rule refl)
% 27.29/27.61 (step t163.t3 (cl (= V_x V_x)) :rule refl)
% 27.29/27.61 (step t163.t4 (cl (= (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)))) :rule refl)
% 27.29/27.61 (step t163.t5 (cl (= (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))) :rule refl)
% 27.29/27.61 (step t163.t6 (cl (= (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))) :rule refl)
% 27.29/27.61 (step t163.t7 (cl (= (= V_x V_y) (= V_y V_x))) :rule all_simplify)
% 27.29/27.61 (step t163.t8 (cl (= (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)) (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_y V_x)))) :rule cong :premises (t163.t4 t163.t5 t163.t6 t163.t7))
% 27.29/27.61 (step t163 (cl (= (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y))) (forall ((T_a $$unsorted) (V_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_y V_x))))) :rule bind)
% 27.29/27.61 (step t164 (cl (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_y V_x)))) :rule resolution :premises (t162 t163 a456))
% 27.29/27.61 (step t165 (cl (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oord__class_Oless tptp.v_d1 tptp.v_d2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oord__class_Oless tptp.v_d2 tptp.v_d1 tptp.tc_RealDef_Oreal) (= tptp.v_d1 tptp.v_d2))) :rule resolution :premises (t161 t164))
% 27.29/27.61 (step t166 (cl (= tptp.v_d1 tptp.v_d2)) :rule resolution :premises (t62 a523 t108 t154 t165))
% 27.29/27.61 (step t167 (cl) :rule resolution :premises (t60 t166 t99 t76))
% 27.29/27.61
% 27.29/27.62 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.9OTiuH0HOj/cvc5---1.0.5_15839.smt2
% 27.29/27.62 % cvc5---1.0.5 exiting
% 27.29/27.62 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------