TSTP Solution File: ALG365-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ALG365-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

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

% Result   : Unsatisfiable 0.51s 0.85s
% Output   : Proof 0.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17  % Problem    : ALG365-1 : TPTP v8.2.0. Released v4.1.0.
% 0.19/0.18  % Command    : do_cvc5 %s %d
% 0.19/0.40  % Computer : n015.cluster.edu
% 0.19/0.40  % Model    : x86_64 x86_64
% 0.19/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40  % Memory   : 8042.1875MB
% 0.19/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40  % CPULimit   : 300
% 0.19/0.40  % WCLimit    : 300
% 0.19/0.40  % DateTime   : Sun May 26 09:30:24 EDT 2024
% 0.19/0.40  % CPUTime    : 
% 0.43/0.66  %----Proving TF0_NAR, FOF, or CNF
% 0.51/0.66  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.51/0.85  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.op5Vs9SPwA/cvc5---1.0.5_24929.smt2
% 0.51/0.85  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.op5Vs9SPwA/cvc5---1.0.5_24929.smt2
% 0.51/0.86  (assume a0 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_g $$unsorted) (V_y $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBC (tptp.c_COMBB (tptp.c_HOL_Otimes__class_Otimes T_b) V_g T_b (tptp.tc_fun T_b T_b) T_a) V_y T_a T_b T_b) V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b) (not (tptp.c_Lim_OLIM V_g V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b)))))
% 0.51/0.86  (assume a1 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBC (tptp.c_COMBB (tptp.c_HOL_Otimes__class_Otimes T_b) V_f T_b (tptp.tc_fun T_b T_b) T_a) V_c T_a T_b T_b) V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b) (not (tptp.c_Lim_OLIM V_f V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b)))))
% 0.51/0.86  (assume a2 (forall ((T_b $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_b)) (tptp.c_Limits_Otendsto (tptp.c_COMBC (tptp.c_COMBB (tptp.c_HOL_Otimes__class_Otimes T_b) V_g T_b (tptp.tc_fun T_b T_b) T_a) V_y T_a T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_b) V_a) V_y) V_net T_a T_b) (not (tptp.c_Limits_Otendsto V_g V_a V_net T_a T_b)))))
% 0.51/0.86  (assume a3 (forall ((T_b $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_b)) (tptp.c_Limits_OZfun (tptp.c_COMBC (tptp.c_COMBB (tptp.c_HOL_Otimes__class_Otimes T_b) V_g T_b (tptp.tc_fun T_b T_b) T_a) V_y T_a T_b T_b) V_net T_a T_b) (not (tptp.c_Limits_OZfun V_g V_net T_a T_b)))))
% 0.51/0.86  (assume a4 (forall ((T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_b)) (tptp.c_Limits_OZfun (tptp.c_COMBC (tptp.c_COMBB (tptp.c_HOL_Otimes__class_Otimes T_b) V_f T_b (tptp.tc_fun T_b T_b) T_a) V_a T_a T_b T_b) V_net T_a T_b) (not (tptp.c_Limits_OZfun V_f V_net T_a T_b)))))
% 0.51/0.86  (assume a5 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_g $$unsorted) (V_y $$unsorted) (V_a $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBC (tptp.c_COMBB (tptp.c_HOL_Otimes__class_Otimes T_b) V_g T_b (tptp.tc_fun T_b T_b) T_a) V_y T_a T_b T_b) V_a (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_b) V_l) V_y) T_a T_b) (not (tptp.c_Lim_OLIM V_g V_a V_l T_a T_b)))))
% 0.51/0.86  (assume a6 (forall ((T_a $$unsorted) (V_g $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Finite__Set_Osetsum V_g V_A T_b T_a)) V_y) (tptp.c_Finite__Set_Osetsum (tptp.c_COMBC (tptp.c_COMBB (tptp.c_HOL_Otimes__class_Otimes T_a) V_g T_a (tptp.tc_fun T_a T_a) T_b) V_y T_b T_a T_a) V_A T_b T_a)))))
% 0.51/0.86  (assume a7 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_Finite__Set_Osetsum V_f V_A T_b T_a)) V_r) (tptp.c_Finite__Set_Osetsum (tptp.c_COMBC (tptp.c_COMBB (tptp.c_HOL_Otimes__class_Otimes T_a) V_f T_a (tptp.tc_fun T_a T_a) T_b) V_r T_b T_a T_a) V_A T_b T_a)))))
% 0.51/0.86  (assume a8 (forall ((T_a $$unsorted) (V_g $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) (tptp.c_Finite__Set_Osetsum V_g V_A T_b tptp.tc_RealDef_Oreal)) V_x) (tptp.c_Finite__Set_Osetsum (tptp.c_COMBC (tptp.c_COMBB (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_g tptp.tc_RealDef_Oreal (tptp.tc_fun T_a T_a) T_b) V_x T_b T_a T_a) V_A T_b T_a)))))
% 0.51/0.86  (assume a9 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_g $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBC (tptp.c_COMBB (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_g tptp.tc_RealDef_Oreal (tptp.tc_fun T_b T_b) T_a) V_x T_a T_b T_b) V_a (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_l) V_x) T_a T_b) (not (tptp.c_Lim_OLIM V_g V_a V_l T_a tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a10 (forall ((T_b $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Limits_OZfun (tptp.c_COMBC (tptp.c_COMBB (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_g tptp.tc_RealDef_Oreal (tptp.tc_fun T_b T_b) T_a) V_x T_a T_b T_b) V_net T_a T_b) (not (tptp.c_Limits_OZfun V_g V_net T_a tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a11 (forall ((T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Limits_OZfun (tptp.c_COMBC (tptp.c_COMBB (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_f tptp.tc_RealDef_Oreal (tptp.tc_fun T_b T_b) T_a) V_a T_a T_b T_b) V_net T_a T_b) (not (tptp.c_Limits_OZfun V_f V_net T_a tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a12 (forall ((T_b $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Limits_Otendsto (tptp.c_COMBC (tptp.c_COMBB (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_g tptp.tc_RealDef_Oreal (tptp.tc_fun T_b T_b) T_a) V_x T_a T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_a) V_x) V_net T_a T_b) (not (tptp.c_Limits_Otendsto V_g V_a V_net T_a tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a13 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_b))) (= V_a V_b))))
% 0.51/0.86  (assume a14 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (tptp.c_SEQ_OCauchy (tptp.c_COMBB (tptp.c_RealVector_Oof__real T_a) V_X tptp.tc_RealDef_Oreal T_a tptp.tc_nat) T_a) (not (tptp.c_SEQ_OCauchy V_X tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a15 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_Lim_OisUCont (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) T_a T_a))))
% 0.51/0.86  (assume a16 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_OZseq (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_X T_a T_a tptp.tc_nat) T_a) (not (tptp.c_SEQ_OZseq V_X T_a)))))
% 0.51/0.86  (assume a17 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_ly)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) V_ry)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_ly)) V_ry))))))
% 0.51/0.86  (assume a18 (forall ((T_a $$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.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_ly)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) V_ry)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_ly) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) V_ry)))))))
% 0.51/0.86  (assume a19 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_ly)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) V_ry)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_rx)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_ly) V_ry))))))
% 0.51/0.86  (assume a20 (forall ((T_a $$unsorted) (V_f $$unsorted)) (or (not (tptp.class_SEQ_Obanach T_a)) (tptp.c_Series_Osummable V_f T_a) (not (tptp.c_Series_Osummable (tptp.c_COMBB (tptp.c_RealVector_Onorm__class_Onorm T_a) V_f T_a tptp.tc_RealDef_Oreal tptp.tc_nat) tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a21 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a22 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (= (tptp.hAPP (tptp.c_RealVector_Oof__real T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a23 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (= (tptp.hAPP (tptp.c_RealVector_Oof__real T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a24 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_Lim_OLIM (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_a (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_a) T_a T_a))))
% 0.51/0.86  (assume a25 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.class_RealVector_Oreal__normed__div__algebra T_b)) (tptp.c_Lim_OisCont (tptp.c_COMBB (tptp.c_HOL_Oinverse__class_Oinverse T_b) V_f T_b T_b T_a) V_a T_a T_b) (= (tptp.hAPP V_f V_a) (tptp.c_HOL_Ozero__class_Ozero T_b)) (not (tptp.c_Lim_OisCont V_f V_a T_a T_b)))))
% 0.51/0.86  (assume a26 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (tptp.c_Deriv_Odifferentiable (tptp.c_COMBK V_a T_a T_a) V_x T_a))))
% 0.51/0.86  (assume a27 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_OZseq V_X T_a) (not (tptp.c_SEQ_OZseq (tptp.c_COMBB (tptp.c_RealVector_Onorm__class_Onorm T_a) V_X T_a tptp.tc_RealDef_Oreal tptp.tc_nat) tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a28 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_OZseq (tptp.c_COMBB (tptp.c_RealVector_Onorm__class_Onorm T_a) V_X T_a tptp.tc_RealDef_Oreal tptp.tc_nat) tptp.tc_RealDef_Oreal) (not (tptp.c_SEQ_OZseq V_X T_a)))))
% 0.51/0.86  (assume a29 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_SEQ_OCauchy (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_X T_a T_a tptp.tc_nat) T_a) (not (tptp.c_SEQ_OCauchy V_X T_a)))))
% 0.51/0.86  (assume a30 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_Lim_OisCont (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_a T_a T_a))))
% 0.51/0.86  (assume a31 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBC (tptp.c_COMBB (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_f tptp.tc_RealDef_Oreal (tptp.tc_fun T_b T_b) T_a) V_c T_a T_b T_b) V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b) (not (tptp.c_Lim_OLIM V_f V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) T_a tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a32 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_g $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBC (tptp.c_COMBB (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_g tptp.tc_RealDef_Oreal (tptp.tc_fun T_b T_b) T_a) V_x T_a T_b T_b) V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b) (not (tptp.c_Lim_OLIM V_g V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) T_a tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a33 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (not (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_x) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_y))) (= V_x V_y))))
% 0.51/0.86  (assume a34 (forall ((T_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= V_k (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_SEQ_OZseq (tptp.c_COMBK V_k T_a tptp.tc_nat) T_a)))))
% 0.51/0.86  (assume a35 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_L $$unsorted) (V_M $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_b)) (not (tptp.class_RealVector_Oreal__normed__algebra__1 T_a)) (= V_L V_M) (not (tptp.c_Lim_OLIM V_f V_a V_M T_a T_b)) (not (tptp.c_Lim_OLIM V_f V_a V_L T_a T_b)))))
% 0.51/0.86  (assume a36 (forall ((T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Limits_OZfun (tptp.c_COMBB (tptp.c_RealVector_Onorm__class_Onorm T_b) V_f T_b tptp.tc_RealDef_Oreal T_a) V_net T_a tptp.tc_RealDef_Oreal) (not (tptp.c_Limits_OZfun V_f V_net T_a T_b)))))
% 0.51/0.86  (assume a37 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_net $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Limits_OZfun V_f V_net T_a T_b) (not (tptp.c_Limits_OZfun (tptp.c_COMBB (tptp.c_RealVector_Onorm__class_Onorm T_b) V_f T_b tptp.tc_RealDef_Oreal T_a) V_net T_a tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a38 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_k $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.class_RealVector_Ometric__space T_b)) (tptp.c_Lim_OisCont (tptp.c_COMBK V_k T_b T_a) V_a T_a T_b))))
% 0.51/0.86  (assume a39 (forall ((T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Limits_OZfun (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_b) V_f T_b T_b T_a) V_net T_a T_b) (not (tptp.c_Limits_OZfun V_f V_net T_a T_b)))))
% 0.51/0.86  (assume a40 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a)) V_b)))))
% 0.51/0.86  (assume a41 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_b))))))
% 0.51/0.86  (assume a42 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Lim_OisUCont V_f T_a T_b) (not (tptp.c_RealVector_Obounded__linear V_f T_a T_b)))))
% 0.51/0.86  (assume a43 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_SEQ_OZseq (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_X T_a T_a tptp.tc_nat) T_a) (not (tptp.c_SEQ_OZseq V_X T_a)))))
% 0.51/0.86  (assume a44 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_SEQ_OZseq (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_X T_a T_a tptp.tc_nat) T_a) (not (tptp.c_SEQ_OZseq V_X T_a)))))
% 0.51/0.86  (assume a45 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y)))))
% 0.51/0.86  (assume a46 (forall ((V_g $$unsorted) (T_a $$unsorted) (V_net $$unsorted)) (or (tptp.c_Limits_OZfun (tptp.c_COMBB tptp.c_Complex_ORe V_g tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal T_a) V_net T_a tptp.tc_RealDef_Oreal) (not (tptp.c_Limits_OZfun V_g V_net T_a tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a47 (forall ((V_X $$unsorted)) (or (tptp.c_SEQ_OCauchy (tptp.c_COMBB tptp.c_Complex_ORe V_X tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) tptp.tc_RealDef_Oreal) (not (tptp.c_SEQ_OCauchy V_X tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a48 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a)) V_b)) V_b))))
% 0.51/0.86  (assume a49 (forall ((V_real1 $$unsorted) (V_real2 $$unsorted) (V_real1_H $$unsorted) (V_real2_H $$unsorted)) (or (not (= (tptp.c_Complex_Ocomplex_OComplex V_real1 V_real2) (tptp.c_Complex_Ocomplex_OComplex V_real1_H V_real2_H))) (= V_real2 V_real2_H))))
% 0.51/0.86  (assume a50 (forall ((V_real1 $$unsorted) (V_real2 $$unsorted) (V_real1_H $$unsorted) (V_real2_H $$unsorted)) (or (not (= (tptp.c_Complex_Ocomplex_OComplex V_real1 V_real2) (tptp.c_Complex_Ocomplex_OComplex V_real1_H V_real2_H))) (= V_real1 V_real1_H))))
% 0.51/0.86  (assume a51 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_g $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Oreal__algebra__1 T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBB (tptp.c_RealVector_Oof__real T_b) V_g tptp.tc_RealDef_Oreal T_b T_a) V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b) (not (tptp.c_Lim_OLIM V_g V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) T_a tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a52 (forall ((T_a $$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.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_r) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_r) V_d)))) (= V_c V_d) (= V_r (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a53 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_y)) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a54 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_y)) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a55 (forall ((V_n $$unsorted)) (not (= V_n (tptp.hAPP tptp.c_Suc V_n)))))
% 0.51/0.86  (assume a56 (forall ((V_n $$unsorted)) (not (= (tptp.hAPP tptp.c_Suc V_n) V_n))))
% 0.51/0.86  (assume a57 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Lim_OLIM (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_a (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_a) T_a T_a))))
% 0.51/0.86  (assume a58 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_x) V_x))))
% 0.51/0.86  (assume a59 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_b) V_x) V_g T_b T_b T_a) V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b) (not (tptp.c_Lim_OLIM V_g V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b)))))
% 0.51/0.86  (assume a60 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_b) V_c) V_f T_b T_b T_a) V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b) (not (tptp.c_Lim_OLIM V_f V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b)))))
% 0.51/0.86  (assume a61 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_RealVector_Obounded__linear (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) T_a T_a))))
% 0.51/0.86  (assume a62 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (not (= (tptp.hAPP (tptp.c_RealVector_Oof__real T_a) V_x) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a63 (forall ((T_a $$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.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_b))) (= V_a V_b))))
% 0.51/0.86  (assume a64 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (= (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_b))) (= V_a V_b) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a65 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a66 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a67 (forall ((T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Limits_Otendsto (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_b) V_f T_b T_b T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_b) V_a) V_net T_a T_b) (not (tptp.c_Limits_Otendsto V_f V_a V_net T_a T_b)))))
% 0.51/0.86  (assume a68 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_a $$unsorted) (V_net $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Limits_Otendsto V_f V_a V_net T_a T_b) (not (tptp.c_Limits_Otendsto (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_b) V_f T_b T_b T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_b) V_a) V_net T_a T_b)))))
% 0.51/0.86  (assume a69 (forall ((T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (V_f $$unsorted) (V_g $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Ometric__space T_c)) (tptp.c_Lim_OLIM (tptp.c_COMBB V_f V_g T_a T_b T_c) V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_c T_b) (not (tptp.c_Lim_OLIM V_g V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_c T_a)) (not (tptp.c_RealVector_Obounded__linear V_f T_a T_b)))))
% 0.51/0.86  (assume a70 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a)) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a))))))
% 0.51/0.86  (assume a71 (forall ((V_a $$unsorted)) (tptp.c_Lim_OLIM tptp.c_Complex_ORe V_a (tptp.hAPP tptp.c_Complex_ORe V_a) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal)))
% 0.51/0.86  (assume a72 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Series_Osummable (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_X T_a T_a tptp.tc_nat) T_a) (not (tptp.c_Series_Osummable V_X T_a)))))
% 0.51/0.86  (assume a73 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c))))))
% 0.51/0.86  (assume a74 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_ly)) V_rx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_rx)) V_ly)))))
% 0.51/0.86  (assume a75 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_ly)) V_rx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_ly) V_rx))))))
% 0.51/0.86  (assume a76 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) V_ry)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_rx)) V_ry)))))
% 0.51/0.86  (assume a77 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) V_ry)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_rx) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_lx) V_ry))))))
% 0.51/0.86  (assume a78 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y)) V_z)))))
% 0.51/0.86  (assume a79 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c))))))
% 0.51/0.86  (assume a80 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_xa) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_xa) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_xa) V_y))))))
% 0.51/0.86  (assume a81 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_b_H $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_b_H)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b_H))))))
% 0.51/0.86  (assume a82 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ya $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y)) V_ya) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_ya)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_ya))))))
% 0.51/0.86  (assume a83 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a_H)) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a_H) V_b))))))
% 0.51/0.86  (assume a84 (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.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_z))))))
% 0.51/0.86  (assume a85 (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.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c))))))
% 0.51/0.86  (assume a86 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_k $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.class_HOL_Ozero T_a)) (not (tptp.class_RealVector_Oreal__normed__algebra__1 T_b)) (not (tptp.c_Lim_OLIM (tptp.c_COMBK V_k T_a T_b) V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_b T_a)) (= V_k (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a87 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) (tptp.c_Series_Osuminf V_X T_a)) (tptp.c_Series_Osuminf (tptp.c_COMBB (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_X T_a T_a tptp.tc_nat) T_a)) (not (tptp.c_Series_Osummable V_X T_a)))))
% 0.51/0.86  (assume a88 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__ab__group__add T_a)) (not (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a) V_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a89 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_m)))))
% 0.51/0.86  (assume a90 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_RealVector_Obounded__linear (tptp.c_COMBC (tptp.c_HOL_Otimes__class_Otimes T_a) V_b T_a T_a T_a) T_a T_a))))
% 0.51/0.86  (assume a91 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a)) V_b) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b))))))
% 0.51/0.86  (assume a92 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_x)) V_y) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y))))))
% 0.51/0.86  (assume a93 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_b)) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b))))))
% 0.51/0.86  (assume a94 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_xa) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_x)) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_xa) V_x))))))
% 0.51/0.86  (assume a95 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_b)) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_b)))))
% 0.51/0.86  (assume a96 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a)) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b)))))
% 0.51/0.86  (assume a97 (forall ((T_b $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Oreal__algebra__1 T_b)) (tptp.c_Limits_OZfun (tptp.c_COMBB (tptp.c_RealVector_Oof__real T_b) V_g tptp.tc_RealDef_Oreal T_b T_a) V_net T_a T_b) (not (tptp.c_Limits_OZfun V_g V_net T_a tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a98 (forall ((T_b $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_b)) (tptp.c_Limits_Otendsto (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_b) V_x) V_g T_b T_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_b) V_x) V_a) V_net T_a T_b) (not (tptp.c_Limits_Otendsto V_g V_a V_net T_a T_b)))))
% 0.51/0.86  (assume a99 (forall ((T_b $$unsorted) (V_r $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Limits_OZfun (tptp.c_COMBB (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_r) V_g T_b T_b T_a) V_net T_a T_b) (not (tptp.c_Limits_OZfun V_g V_net T_a T_b)))))
% 0.51/0.86  (assume a100 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Limits_OZfun (tptp.c_COMBB (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_a) V_f T_b T_b T_a) V_net T_a T_b) (not (tptp.c_Limits_OZfun V_f V_net T_a T_b)))))
% 0.51/0.86  (assume a101 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a)) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a))) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_b))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a102 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a)) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b))) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_b))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a103 (forall ((V_X $$unsorted)) (or (tptp.c_SEQ_OZseq (tptp.c_COMBB tptp.c_Complex_ORe V_X tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) tptp.tc_RealDef_Oreal) (not (tptp.c_SEQ_OZseq V_X tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a104 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.c_Series_Osuminf V_X T_a)) (tptp.c_Series_Osuminf (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_X T_a T_a tptp.tc_nat) T_a)) (not (tptp.c_Series_Osummable V_X T_a)))))
% 0.51/0.86  (assume a105 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_f $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.c_Series_Osuminf (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_f T_a T_a tptp.tc_nat) T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) (tptp.c_Series_Osuminf V_f T_a))) (not (tptp.c_Series_Osummable V_f T_a)))))
% 0.51/0.86  (assume a106 (forall ((V_X $$unsorted)) (or (= (tptp.hAPP tptp.c_Complex_ORe (tptp.c_Series_Osuminf V_X tptp.tc_Complex_Ocomplex)) (tptp.c_Series_Osuminf (tptp.c_COMBB tptp.c_Complex_ORe V_X tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) tptp.tc_RealDef_Oreal)) (not (tptp.c_Series_Osummable V_X tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a107 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_d))))))
% 0.51/0.86  (assume a108 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (V_a $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_b) V_x) V_g T_b T_b T_a) V_a (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_b) V_x) V_l) T_a T_b) (not (tptp.c_Lim_OLIM V_g V_a V_l T_a T_b)))))
% 0.51/0.86  (assume a109 (forall ((T_a $$unsorted) (V_g $$unsorted) (V_a $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBB tptp.c_Complex_ORe V_g tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal T_a) V_a (tptp.hAPP tptp.c_Complex_ORe V_l) T_a tptp.tc_RealDef_Oreal) (not (tptp.c_Lim_OLIM V_g V_a V_l T_a tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a110 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (tptp.c_Deriv_Odifferentiable (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_f T_a T_a T_a) V_x T_a) (not (tptp.c_Deriv_Odifferentiable V_f V_x T_a)))))
% 0.51/0.86  (assume a111 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) V_k))) (= V_m V_n))))
% 0.51/0.86  (assume a112 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k) V_n))) (= V_m V_n))))
% 0.51/0.86  (assume a113 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) V_z))) (= V_y V_z))))
% 0.51/0.86  (assume a114 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_z))) (= V_y V_z))))
% 0.51/0.86  (assume a115 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c))) (= V_b V_c))))
% 0.51/0.86  (assume a116 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c))) (= V_b V_c))))
% 0.51/0.86  (assume a117 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_a))) (= V_b V_c))))
% 0.51/0.86  (assume a118 (forall ((T_a $$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.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a)) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_b))))))
% 0.51/0.86  (assume a119 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_b)) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a120 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_k $$unsorted) (V_a $$unsorted) (V_L $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.class_RealVector_Oreal__normed__algebra__1 T_b)) (not (tptp.c_Lim_OLIM (tptp.c_COMBK V_k T_a T_b) V_a V_L T_b T_a)) (= V_k V_L))))
% 0.51/0.86  (assume a121 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_k $$unsorted) (V_L $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_b)) (not (tptp.class_RealVector_Oreal__normed__algebra__1 T_a)) (= V_k V_L) (not (tptp.c_Lim_OLIM (tptp.c_COMBK V_k T_b T_a) V_a V_L T_a T_b)))))
% 0.51/0.86  (assume a122 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a)) V_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a123 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.c_Finite__Set_Osetsum V_g V_A T_b T_a)) (tptp.c_Finite__Set_Osetsum (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_g T_a T_a T_b) V_A T_b T_a)))))
% 0.51/0.86  (assume a124 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_r) (tptp.c_Finite__Set_Osetsum V_f V_A T_b T_a)) (tptp.c_Finite__Set_Osetsum (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_r) V_f T_a T_a T_b) V_A T_b T_a)))))
% 0.51/0.86  (assume a125 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_m)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) (tptp.hAPP tptp.c_Suc V_n)))))
% 0.51/0.86  (assume a126 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_a $$unsorted) (V_L $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__div__algebra T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBB (tptp.c_HOL_Oinverse__class_Oinverse T_b) V_f T_b T_b T_a) V_a (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_b) V_L) T_a T_b) (= V_L (tptp.c_HOL_Ozero__class_Ozero T_b)) (not (tptp.c_Lim_OLIM V_f V_a V_L T_a T_b)))))
% 0.51/0.86  (assume a127 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Lim_OisCont (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_b) V_f T_b T_b T_a) V_a T_a T_b) (not (tptp.c_Lim_OisCont V_f V_a T_a T_b)))))
% 0.51/0.86  (assume a128 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_Series_Osuminf (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_X T_a T_a tptp.tc_nat) T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.c_Series_Osuminf V_X T_a))) (not (tptp.c_Series_Osummable V_X T_a)))))
% 0.51/0.86  (assume a129 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_x) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a130 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_a)) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b))))))
% 0.51/0.86  (assume a131 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_x)) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y))))))
% 0.51/0.86  (assume a132 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b))))))
% 0.51/0.86  (assume a133 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a134 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a135 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a136 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Series_Osummable (tptp.c_COMBK (tptp.c_HOL_Ozero__class_Ozero T_a) T_a tptp.tc_nat) T_a))))
% 0.51/0.86  (assume a137 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a138 (forall ((T_b $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Oreal__algebra__1 T_b)) (tptp.c_Limits_Otendsto (tptp.c_COMBB (tptp.c_RealVector_Oof__real T_b) V_g tptp.tc_RealDef_Oreal T_b T_a) (tptp.hAPP (tptp.c_RealVector_Oof__real T_b) V_a) V_net T_a T_b) (not (tptp.c_Limits_Otendsto V_g V_a V_net T_a tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a139 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Series_Osums (tptp.c_COMBK (tptp.c_HOL_Ozero__class_Ozero T_a) T_a tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 0.51/0.86  (assume a140 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Ometric__space T_b)) (tptp.c_Lim_OLIM (tptp.c_COMBB V_f (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) T_a T_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP V_f V_x) T_a T_b) (not (tptp.c_Lim_OisCont V_f V_x T_a T_b)))))
% 0.51/0.86  (assume a141 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Ometric__space T_b)) (tptp.c_Lim_OisCont V_f V_x T_a T_b) (not (tptp.c_Lim_OLIM (tptp.c_COMBB V_f (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) T_a T_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP V_f V_x) T_a T_b)))))
% 0.51/0.86  (assume a142 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_b))) (= V_a (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_b)) (= V_a V_b))))
% 0.51/0.86  (assume a143 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= V_x (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a144 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBC (tptp.c_HOL_Otimes__class_Otimes T_a) V_y T_a T_a T_a) V_a (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_y) T_a T_a))))
% 0.51/0.86  (assume a145 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.class_RealVector_Ometric__space T_b)) (tptp.c_Lim_OisCont V_f V_x T_a T_b) (not (tptp.c_Lim_OisUCont V_f T_a T_b)))))
% 0.51/0.86  (assume a146 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBB (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_c) V_f T_b T_b T_a) V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b) (not (tptp.c_Lim_OLIM V_f V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b)))))
% 0.51/0.86  (assume a147 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_g $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBB (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_r) V_g T_b T_b T_a) V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b) (not (tptp.c_Lim_OLIM V_g V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b)))))
% 0.51/0.86  (assume a148 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_X $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Series_Osums (tptp.c_COMBB (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_X T_a T_a tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_a) T_a) (not (tptp.c_Series_Osums V_X V_a T_a)))))
% 0.51/0.86  (assume a149 (forall ((V_a $$unsorted)) (tptp.c_Lim_OisCont tptp.c_Complex_ORe V_a tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal)))
% 0.51/0.86  (assume a150 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Series_Osummable (tptp.c_COMBB (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_X T_a T_a tptp.tc_nat) T_a) (not (tptp.c_Series_Osummable V_X T_a)))))
% 0.51/0.86  (assume a151 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_x)) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_x))))))
% 0.51/0.86  (assume a152 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_b)) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_b))))))
% 0.51/0.86  (assume a153 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (= (tptp.hAPP (tptp.c_RealVector_Onorm__class_Onorm T_a) V_x) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a154 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (not (= (tptp.hAPP (tptp.c_RealVector_Oof__real T_a) V_x) (tptp.hAPP (tptp.c_RealVector_Oof__real T_a) V_y))) (= V_x V_y))))
% 0.51/0.86  (assume a155 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_a $$unsorted) (V_L $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_b) V_f T_b T_b T_a) V_a (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_b) V_L) T_a T_b) (not (tptp.c_Lim_OLIM V_f V_a V_L T_a T_b)))))
% 0.51/0.86  (assume a156 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_Series_Osuminf (tptp.c_COMBK (tptp.c_HOL_Ozero__class_Ozero T_a) T_a tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a157 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_SEQ_OZseq (tptp.c_COMBB V_f V_X T_a T_b tptp.tc_nat) T_b) (not (tptp.c_SEQ_OZseq V_X T_a)) (not (tptp.c_RealVector_Obounded__linear V_f T_a T_b)))))
% 0.51/0.86  (assume a158 (forall ((T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_g $$unsorted) (V_f $$unsorted) (V_a $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.class_RealVector_Ometric__space T_b)) (not (tptp.class_RealVector_Ometric__space T_c)) (tptp.c_Lim_OLIM (tptp.c_COMBB V_g V_f T_a T_b T_c) V_a (tptp.hAPP V_g V_l) T_c T_b) (not (tptp.c_Lim_OLIM V_f V_a V_l T_c T_a)) (not (tptp.c_Lim_OisCont V_g V_l T_a T_b)))))
% 0.51/0.86  (assume a159 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_g $$unsorted) (V_a $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Oreal__algebra__1 T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBB (tptp.c_RealVector_Oof__real T_b) V_g tptp.tc_RealDef_Oreal T_b T_a) V_a (tptp.hAPP (tptp.c_RealVector_Oof__real T_b) V_l) T_a T_b) (not (tptp.c_Lim_OLIM V_g V_a V_l T_a tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a160 (forall ((V_g $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP tptp.c_Complex_ORe (tptp.c_Finite__Set_Osetsum V_g V_A T_a tptp.tc_Complex_Ocomplex)) (tptp.c_Finite__Set_Osetsum (tptp.c_COMBB tptp.c_Complex_ORe V_g tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal T_a) V_A T_a tptp.tc_RealDef_Oreal))))
% 0.51/0.86  (assume a161 (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.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y))))))
% 0.51/0.86  (assume a162 (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.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_c))))))
% 0.51/0.86  (assume a163 (forall ((T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_f $$unsorted) (V_g $$unsorted) (V_a $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Ometric__space T_c)) (tptp.c_Lim_OLIM (tptp.c_COMBB V_f V_g T_a T_b T_c) V_a (tptp.hAPP V_f V_l) T_c T_b) (not (tptp.c_Lim_OLIM V_g V_a V_l T_c T_a)) (not (tptp.c_RealVector_Obounded__linear V_f T_a T_b)))))
% 0.51/0.86  (assume a164 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_b)) (tptp.c_Limits_OZfun (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_b) V_a) V_f T_b T_b T_a) V_net T_a T_b) (not (tptp.c_Limits_OZfun V_f V_net T_a T_b)))))
% 0.51/0.86  (assume a165 (forall ((T_b $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_b)) (tptp.c_Limits_OZfun (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_b) V_x) V_g T_b T_b T_a) V_net T_a T_b) (not (tptp.c_Limits_OZfun V_g V_net T_a T_b)))))
% 0.51/0.86  (assume a166 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a)) V_a))))
% 0.51/0.86  (assume a167 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (tptp.c_Deriv_Odifferentiable (tptp.c_COMBB (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_f T_a T_a T_a) V_x T_a) (= (tptp.hAPP V_f V_x) (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Deriv_Odifferentiable V_f V_x T_a)))))
% 0.51/0.86  (assume a168 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_g $$unsorted) (T_c $$unsorted) (V_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Limits_Otendsto (tptp.c_COMBB V_f V_g T_a T_b T_c) (tptp.hAPP V_f V_a) V_net T_c T_b) (not (tptp.c_Limits_Otendsto V_g V_a V_net T_c T_a)) (not (tptp.c_RealVector_Obounded__linear V_f T_a T_b)))))
% 0.51/0.86  (assume a169 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_y) V_x)))))
% 0.51/0.86  (assume a170 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a171 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_a)))))
% 0.51/0.86  (assume a172 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_Lim_OisCont (tptp.c_COMBC (tptp.c_HOL_Otimes__class_Otimes T_a) V_y T_a T_a T_a) V_a T_a T_a))))
% 0.51/0.86  (assume a173 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBB (tptp.c_RealVector_Onorm__class_Onorm T_b) V_f T_b tptp.tc_RealDef_Oreal T_a) V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) T_a tptp.tc_RealDef_Oreal) (not (tptp.c_Lim_OLIM V_f V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b)))))
% 0.51/0.86  (assume a174 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM V_f V_a (tptp.c_HOL_Ozero__class_Ozero T_b) T_a T_b) (not (tptp.c_Lim_OLIM (tptp.c_COMBB (tptp.c_RealVector_Onorm__class_Onorm T_b) V_f T_b tptp.tc_RealDef_Oreal T_a) V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) T_a tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a175 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c))))))
% 0.51/0.86  (assume a176 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c))))))
% 0.51/0.86  (assume a177 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y)) V_z)))))
% 0.51/0.86  (assume a178 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n)) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) V_k)))))
% 0.51/0.86  (assume a179 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_x) V_z)))))
% 0.51/0.86  (assume a180 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_z))))))
% 0.51/0.86  (assume a181 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c))))))
% 0.51/0.86  (assume a182 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c)) V_d)))))
% 0.51/0.86  (assume a183 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c)) V_b)))))
% 0.51/0.86  (assume a184 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_d))))))
% 0.51/0.86  (assume a185 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c))))))
% 0.51/0.86  (assume a186 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_RealVector_Oof__real T_a) V_r)) V_x)))))
% 0.51/0.86  (assume a187 (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.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a))) (= (tptp.c_HOL_Ozero__class_Ozero T_a) V_a))))
% 0.51/0.86  (assume a188 (forall ((V_P $$unsorted) (V_Q $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (= (tptp.hAPP (tptp.c_COMBC V_P V_Q T_b T_c T_a) V_R) (tptp.hAPP (tptp.hAPP V_P V_R) V_Q))))
% 0.51/0.86  (assume a189 (forall ((V_P $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_Q $$unsorted)) (= (tptp.hAPP (tptp.c_COMBK V_P T_a T_b) V_Q) V_P)))
% 0.51/0.86  (assume a190 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Series_Osummable (tptp.c_COMBB V_f V_X T_a T_b tptp.tc_nat) T_b) (not (tptp.c_Series_Osummable V_X T_a)) (not (tptp.c_RealVector_Obounded__linear V_f T_a T_b)))))
% 0.51/0.86  (assume a191 (forall ((T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__div__algebra T_b)) (tptp.c_Limits_Otendsto (tptp.c_COMBB (tptp.c_HOL_Oinverse__class_Oinverse T_b) V_f T_b T_b T_a) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_b) V_a) V_net T_a T_b) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_b)) (not (tptp.c_Limits_Otendsto V_f V_a V_net T_a T_b)))))
% 0.51/0.86  (assume a192 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a193 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a194 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a195 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) V_x) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a196 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_e)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_e)) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_e)) V_c)))))
% 0.51/0.86  (assume a197 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_SEQ_OLIMSEQ V_X (tptp.c_SEQ_Olim V_X T_a) T_a) (not (tptp.c_SEQ_Oconvergent V_X T_a)))))
% 0.51/0.86  (assume a198 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_SEQ_Oconvergent V_X T_a) (not (tptp.c_SEQ_OLIMSEQ V_X (tptp.c_SEQ_Olim V_X T_a) T_a)))))
% 0.51/0.86  (assume a199 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_b)) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a200 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a)) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a201 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a202 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a)) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a203 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Lim_OisCont V_f V_a T_a T_b) (not (tptp.c_RealVector_Obounded__linear V_f T_a T_b)))))
% 0.51/0.86  (assume a204 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (= (tptp.hAPP (tptp.c_RealVector_Oof__real T_a) (tptp.c_Series_Osuminf V_X tptp.tc_RealDef_Oreal)) (tptp.c_Series_Osuminf (tptp.c_COMBB (tptp.c_RealVector_Oof__real T_a) V_X tptp.tc_RealDef_Oreal T_a tptp.tc_nat) T_a)) (not (tptp.c_Series_Osummable V_X tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a205 (forall ((T_a $$unsorted) (V_g $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_SEQ_Olim (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_g T_a T_a tptp.tc_nat) T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.c_SEQ_Olim V_g T_a))) (not (tptp.c_SEQ_Oconvergent V_g T_a)))))
% 0.51/0.86  (assume a206 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_g $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) (tptp.c_Finite__Set_Osetsum V_g V_A T_b T_a)) (tptp.c_Finite__Set_Osetsum (tptp.c_COMBB (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_g T_a T_a T_b) V_A T_b T_a)))))
% 0.51/0.86  (assume a207 (forall ((V_X $$unsorted)) (or (tptp.c_Series_Osummable (tptp.c_COMBB tptp.c_Complex_ORe V_X tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) tptp.tc_RealDef_Oreal) (not (tptp.c_Series_Osummable V_X tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a208 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_a $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBB (tptp.c_RealVector_Onorm__class_Onorm T_b) V_f T_b tptp.tc_RealDef_Oreal T_a) V_a (tptp.hAPP (tptp.c_RealVector_Onorm__class_Onorm T_b) V_l) T_a tptp.tc_RealDef_Oreal) (not (tptp.c_Lim_OLIM V_f V_a V_l T_a T_b)))))
% 0.51/0.86  (assume a209 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_Oconvergent (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_X T_a T_a tptp.tc_nat) T_a) (not (tptp.c_SEQ_Oconvergent V_X T_a)))))
% 0.51/0.86  (assume a210 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_Oconvergent V_X T_a) (not (tptp.c_SEQ_Oconvergent (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_X T_a T_a tptp.tc_nat) T_a)))))
% 0.51/0.86  (assume a211 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__div__algebra T_a)) (tptp.c_Lim_OLIM (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a) T_a T_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a212 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_y))))))
% 0.51/0.86  (assume a213 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_b_H $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_b_H)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_b_H))))))
% 0.51/0.86  (assume a214 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_z)) V_y)) (= V_x (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_z)))))
% 0.51/0.86  (assume a215 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_g $$unsorted) (T_c $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Limits_OZfun (tptp.c_COMBB V_f V_g T_a T_b T_c) V_net T_c T_b) (not (tptp.c_Limits_OZfun V_g V_net T_c T_a)) (not (tptp.c_RealVector_Obounded__linear V_f T_a T_b)))))
% 0.51/0.86  (assume a216 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_Lim_OisUCont (tptp.c_COMBC (tptp.c_HOL_Otimes__class_Otimes T_a) V_y T_a T_a T_a) T_a T_a))))
% 0.51/0.86  (assume a217 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_OZseq (tptp.c_COMBK (tptp.c_HOL_Ozero__class_Ozero T_a) T_a tptp.tc_nat) T_a))))
% 0.51/0.86  (assume a218 (forall ((T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_Finite__Set_Osetsum (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_f T_a T_a T_b) V_A T_b T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.c_Finite__Set_Osetsum V_f V_A T_b T_a))))))
% 0.51/0.86  (assume a219 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a))))
% 0.51/0.86  (assume a220 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a) V_a))))
% 0.51/0.86  (assume a221 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a))))
% 0.51/0.86  (assume a222 (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.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 0.51/0.86  (assume a223 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_x) V_x))))
% 0.51/0.86  (assume a224 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a) V_a))))
% 0.51/0.86  (assume a225 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a))))
% 0.51/0.86  (assume a226 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a) V_a))))
% 0.51/0.86  (assume a227 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_b)) V_b))))
% 0.51/0.86  (assume a228 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= V_a (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a))))))
% 0.51/0.86  (assume a229 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= V_b (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_b))))))
% 0.51/0.86  (assume a230 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_x)) V_x))))
% 0.51/0.86  (assume a231 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a)) V_a))))
% 0.51/0.86  (assume a232 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (tptp.c_Series_Osummable (tptp.c_COMBB (tptp.c_RealVector_Oof__real T_a) V_X tptp.tc_RealDef_Oreal T_a tptp.tc_nat) T_a) (not (tptp.c_Series_Osummable V_X tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a233 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_r $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_xa) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_xa) V_x))))))
% 0.51/0.86  (assume a234 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_x)) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y))))))
% 0.51/0.86  (assume a235 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y))))))
% 0.51/0.86  (assume a236 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_u))) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_z) V_u))))
% 0.51/0.86  (assume a237 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.class_RealVector_Oreal__normed__algebra__1 T_b)) (tptp.c_Lim_OisCont (tptp.c_COMBB (tptp.c_RealVector_Oof__real T_b) V_f tptp.tc_RealDef_Oreal T_b T_a) V_a T_a T_b) (not (tptp.c_Lim_OisCont V_f V_a T_a tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a238 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_r $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (= (tptp.hAPP V_f (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_r) (tptp.hAPP V_f V_x))) (not (tptp.c_RealVector_Obounded__linear V_f T_a T_b)))))
% 0.51/0.86  (assume a239 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.class_RealVector_Ometric__space T_b)) (tptp.c_SEQ_OCauchy (tptp.c_COMBB V_f V_X T_a T_b tptp.tc_nat) T_b) (not (tptp.c_SEQ_OCauchy V_X T_a)) (not (tptp.c_Lim_OisUCont V_f T_a T_b)))))
% 0.51/0.86  (assume a240 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_a $$unsorted) (V_L $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_b)) (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Lim_OLIM V_f V_a V_L T_a T_b) (not (tptp.c_Lim_OLIM (tptp.c_COMBB V_f (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) T_a T_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) V_L T_a T_b)))))
% 0.51/0.86  (assume a241 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_a $$unsorted) (V_L $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_b)) (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBB V_f (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) T_a T_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) V_L T_a T_b) (not (tptp.c_Lim_OLIM V_f V_a V_L T_a T_b)))))
% 0.51/0.86  (assume a242 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Ometric__space T_b)) (tptp.c_Lim_OLIM V_f V_a (tptp.hAPP V_f V_a) T_a T_b) (not (tptp.c_Lim_OLIM (tptp.c_COMBB V_f (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) T_a T_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP V_f V_a) T_a T_b)))))
% 0.51/0.86  (assume a243 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Ometric__space T_b)) (tptp.c_Lim_OLIM (tptp.c_COMBB V_f (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) T_a T_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP V_f V_a) T_a T_b) (not (tptp.c_Lim_OLIM V_f V_a (tptp.hAPP V_f V_a) T_a T_b)))))
% 0.51/0.86  (assume a244 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_f $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_Series_Osummable (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_f T_a T_a tptp.tc_nat) T_a) (not (tptp.c_Series_Osummable V_f T_a)))))
% 0.51/0.86  (assume a245 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_Series_Osummable (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_X T_a T_a tptp.tc_nat) T_a) (not (tptp.c_Series_Osummable V_X T_a)))))
% 0.51/0.86  (assume a246 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_X $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_Series_Osums (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_X T_a T_a tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_a) T_a) (not (tptp.c_Series_Osums V_X V_a T_a)))))
% 0.51/0.86  (assume a247 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_Series_Osums (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_f T_a T_a tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_c) V_a) T_a) (not (tptp.c_Series_Osums V_f V_a T_a)))))
% 0.51/0.86  (assume a248 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Limits_OZfun (tptp.c_COMBK (tptp.c_HOL_Ozero__class_Ozero T_b) T_b T_a) V_net T_a T_b))))
% 0.51/0.86  (assume a249 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Series_Osummable V_f T_a) (not (tptp.c_Series_Osums V_f V_l T_a)))))
% 0.51/0.86  (assume a250 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Series_Osummable V_f T_a) (not (tptp.c_Series_Osums V_f V_x T_a)))))
% 0.51/0.86  (assume a251 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Lim_OisCont (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_a T_a T_a))))
% 0.51/0.86  (assume a252 (forall ((T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Limits_Otendsto (tptp.c_COMBB (tptp.c_RealVector_Onorm__class_Onorm T_b) V_f T_b tptp.tc_RealDef_Oreal T_a) (tptp.hAPP (tptp.c_RealVector_Onorm__class_Onorm T_b) V_a) V_net T_a tptp.tc_RealDef_Oreal) (not (tptp.c_Limits_Otendsto V_f V_a V_net T_a T_b)))))
% 0.51/0.86  (assume a253 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) (tptp.hAPP tptp.c_Suc V_m)) V_n) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n)))))
% 0.51/0.86  (assume a254 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) (tptp.hAPP tptp.c_Suc V_n)) (tptp.hAPP tptp.c_Suc (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n)))))
% 0.51/0.86  (assume a255 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_Finite__Set_Osetsum (tptp.c_COMBK (tptp.c_HOL_Ozero__class_Ozero T_a) T_a T_b) V_A T_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a256 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.hAPP (tptp.c_RealVector_Onorm__class_Onorm T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_x)) (tptp.hAPP (tptp.c_RealVector_Onorm__class_Onorm T_a) V_x)))))
% 0.51/0.86  (assume a257 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_b))))))
% 0.51/0.86  (assume a258 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_b) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_x))))))
% 0.51/0.86  (assume a259 (forall ((T_a $$unsorted) (V_ra $$unsorted) (V_r $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_ra) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_ra) V_x))))))
% 0.51/0.86  (assume a260 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (tptp.c_SEQ_OZseq (tptp.c_COMBB (tptp.c_RealVector_Oof__real T_a) V_X tptp.tc_RealDef_Oreal T_a tptp.tc_nat) T_a) (not (tptp.c_SEQ_OZseq V_X tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a261 (forall ((T_b $$unsorted) (V_k $$unsorted) (T_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Otopological__space T_b)) (tptp.c_Limits_Otendsto (tptp.c_COMBK V_k T_b T_a) V_k V_net T_a T_b))))
% 0.51/0.86  (assume a262 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_a)))))
% 0.51/0.86  (assume a263 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_m) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_n) V_m))))
% 0.51/0.86  (assume a264 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_x)))))
% 0.51/0.86  (assume a265 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_a)))))
% 0.51/0.86  (assume a266 (forall ((T_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.hAPP (tptp.c_RealVector_Onorm__class_Onorm T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a267 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_k $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBK V_k T_b T_a) V_x V_k T_a T_b))))
% 0.51/0.86  (assume a268 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.hAPP tptp.c_Suc V_nat) (tptp.hAPP tptp.c_Suc V_nat_H))) (= V_nat V_nat_H))))
% 0.51/0.86  (assume a269 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.hAPP tptp.c_Suc V_x) (tptp.hAPP tptp.c_Suc V_y))) (= V_x V_y))))
% 0.51/0.86  (assume a270 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a) V_b))))
% 0.51/0.86  (assume a271 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_b)))))
% 0.51/0.86  (assume a272 (forall ((T_a $$unsorted) (V_g $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (= (tptp.hAPP (tptp.c_RealVector_Oof__real T_a) (tptp.c_Finite__Set_Osetsum V_g V_A T_b tptp.tc_RealDef_Oreal)) (tptp.c_Finite__Set_Osetsum (tptp.c_COMBB (tptp.c_RealVector_Oof__real T_a) V_g tptp.tc_RealDef_Oreal T_a T_b) V_A T_b T_a)))))
% 0.51/0.86  (assume a273 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_b) V_c)))) (= V_c V_d) (= V_a V_b))))
% 0.51/0.86  (assume a274 (forall ((T_a $$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.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_w) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_w) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_y)))) (= V_y V_z) (= V_w V_x))))
% 0.51/0.86  (assume a275 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a)) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a276 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a277 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a278 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_y) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a279 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a280 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a281 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a282 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_x) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a283 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a284 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a285 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a286 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a287 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Series_Osummable (tptp.c_COMBB V_f (tptp.c_COMBC (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat T_a tptp.tc_nat) T_a) (not (tptp.c_Series_Osummable V_f T_a)))))
% 0.51/0.86  (assume a288 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_g $$unsorted) (V_a $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBB (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_r) V_g T_b T_b T_a) V_a (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_r) V_l) T_a T_b) (not (tptp.c_Lim_OLIM V_g V_a V_l T_a T_b)))))
% 0.51/0.86  (assume a289 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_z)) V_y))))
% 0.51/0.86  (assume a290 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_b))))
% 0.51/0.86  (assume a291 (forall ((V_g $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_net $$unsorted)) (or (tptp.c_Limits_Otendsto (tptp.c_COMBB tptp.c_Complex_ORe V_g tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal T_a) (tptp.hAPP tptp.c_Complex_ORe V_a) V_net T_a tptp.tc_RealDef_Oreal) (not (tptp.c_Limits_Otendsto V_g V_a V_net T_a tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a292 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_X $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Series_Osums (tptp.c_COMBB V_f V_X T_a T_b tptp.tc_nat) (tptp.hAPP V_f V_a) T_b) (not (tptp.c_Series_Osums V_X V_a T_a)) (not (tptp.c_RealVector_Obounded__linear V_f T_a T_b)))))
% 0.51/0.86  (assume a293 (forall ((T_a $$unsorted) (V_f $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_OLIMSEQ V_f (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_Series_Osummable V_f T_a)))))
% 0.51/0.86  (assume a294 (forall ((T_a $$unsorted) (V_s $$unsorted) (V_f $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= V_s (tptp.c_Series_Osuminf V_f T_a)) (not (tptp.c_Series_Osums V_f V_s T_a)))))
% 0.51/0.86  (assume a295 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (= (tptp.c_Series_Osuminf V_f T_a) V_x) (not (tptp.c_Series_Osums V_f V_x T_a)))))
% 0.51/0.86  (assume a296 (forall ((V_X $$unsorted) (V_a $$unsorted)) (or (tptp.c_Series_Osums (tptp.c_COMBB tptp.c_Complex_ORe V_X tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.hAPP tptp.c_Complex_ORe V_a) tptp.tc_RealDef_Oreal) (not (tptp.c_Series_Osums V_X V_a tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a297 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 0.51/0.86  (assume a298 (forall ((V_z $$unsorted)) (= (tptp.c_Complex_Ocomplex_OComplex (tptp.hAPP tptp.c_Complex_ORe V_z) (tptp.hAPP tptp.c_Complex_OIm V_z)) V_z)))
% 0.51/0.86  (assume a299 (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.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a300 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (= (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a301 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_SEQ_Ocomplete__space T_a)) (tptp.c_SEQ_OCauchy V_X T_a) (not (tptp.c_SEQ_Oconvergent V_X T_a)))))
% 0.51/0.86  (assume a302 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_SEQ_Ocomplete__space T_a)) (tptp.c_SEQ_Oconvergent V_X T_a) (not (tptp.c_SEQ_OCauchy V_X T_a)))))
% 0.51/0.86  (assume a303 (forall ((T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Lim_OisUCont (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) T_a T_a))))
% 0.51/0.86  (assume a304 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_SEQ_OCauchy V_X T_a) (not (tptp.c_SEQ_Oconvergent V_X T_a)))))
% 0.51/0.86  (assume a305 (forall ((V_X $$unsorted)) (or (tptp.c_SEQ_Oconvergent V_X tptp.tc_RealDef_Oreal) (not (tptp.c_SEQ_OCauchy V_X tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a306 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a)) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_b))))))
% 0.51/0.86  (assume a307 (forall ((T_a $$unsorted) (V_X $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Series_Osums (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_X T_a T_a tptp.tc_nat) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a) T_a) (not (tptp.c_Series_Osums V_X V_a T_a)))))
% 0.51/0.86  (assume a308 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a309 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__ab__group__add T_a)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a310 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Lim_OLIM V_f V_a (tptp.hAPP V_f V_a) T_a T_b) (not (tptp.c_RealVector_Obounded__linear V_f T_a T_b)))))
% 0.51/0.86  (assume a311 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_OZseq (tptp.c_COMBB (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_X T_a T_a tptp.tc_nat) T_a) (not (tptp.c_SEQ_OZseq V_X T_a)))))
% 0.51/0.86  (assume a312 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_OZseq (tptp.c_COMBB (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_X T_a T_a tptp.tc_nat) T_a) (not (tptp.c_SEQ_OZseq V_X T_a)))))
% 0.51/0.86  (assume a313 (forall ((T_a $$unsorted) (V_f $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_Series_Osums V_f (tptp.c_Series_Osuminf V_f T_a) T_a) (not (tptp.c_Series_Osummable V_f T_a)))))
% 0.51/0.86  (assume a314 (forall ((T_a $$unsorted) (V_f $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.c_Series_Osummable V_f T_a)) (tptp.c_Series_Osums V_f (tptp.c_Series_Osuminf V_f T_a) T_a))))
% 0.51/0.86  (assume a315 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_SEQ_OCauchy (tptp.c_COMBB V_f V_X T_a T_b tptp.tc_nat) T_b) (not (tptp.c_SEQ_OCauchy V_X T_a)) (not (tptp.c_RealVector_Obounded__linear V_f T_a T_b)))))
% 0.51/0.86  (assume a316 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.class_RealVector_Ometric__space T_b)) (tptp.c_Lim_OisCont V_f V_a T_a T_b) (not (tptp.c_Lim_OLIM V_f V_a (tptp.hAPP V_f V_a) T_a T_b)))))
% 0.51/0.86  (assume a317 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.class_RealVector_Ometric__space T_b)) (tptp.c_Lim_OLIM V_f V_a (tptp.hAPP V_f V_a) T_a T_b) (not (tptp.c_Lim_OisCont V_f V_a T_a T_b)))))
% 0.51/0.86  (assume a318 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) V_y)))))
% 0.51/0.86  (assume a319 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 0.51/0.86  (assume a320 (forall ((T_b $$unsorted) (V_r $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_net $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Limits_Otendsto (tptp.c_COMBB (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_r) V_g T_b T_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_b) V_r) V_a) V_net T_a T_b) (not (tptp.c_Limits_Otendsto V_g V_a V_net T_a T_b)))))
% 0.51/0.86  (assume a321 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_OCauchy (tptp.c_COMBB (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_X T_a T_a tptp.tc_nat) T_a) (not (tptp.c_SEQ_OCauchy V_X T_a)))))
% 0.51/0.86  (assume a322 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_y))) (= V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) (= V_x V_y))))
% 0.51/0.86  (assume a323 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_RealVector_Oreal__vector T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_b) V_x))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a V_b))))
% 0.51/0.86  (assume a324 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a))) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.51/0.86  (assume a325 (tptp.c_Lim_OisUCont tptp.c_Complex_ORe tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a326 (forall ((V_x $$unsorted) (V_y $$unsorted)) (= (tptp.hAPP tptp.c_Complex_ORe (tptp.c_Complex_Ocomplex_OComplex V_x V_y)) V_x)))
% 0.51/0.86  (assume a327 (forall ((T_a $$unsorted) (V_X $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (tptp.c_Series_Osums (tptp.c_COMBB (tptp.c_RealVector_Oof__real T_a) V_X tptp.tc_RealDef_Oreal T_a tptp.tc_nat) (tptp.hAPP (tptp.c_RealVector_Oof__real T_a) V_a) T_a) (not (tptp.c_Series_Osums V_X V_a tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a328 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (= (tptp.hAPP V_f (tptp.c_Series_Osuminf V_X T_a)) (tptp.c_Series_Osuminf (tptp.c_COMBB V_f V_X T_a T_b tptp.tc_nat) T_b)) (not (tptp.c_Series_Osummable V_X T_a)) (not (tptp.c_RealVector_Obounded__linear V_f T_a T_b)))))
% 0.51/0.86  (assume a329 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_Lim_OisCont (tptp.c_COMBB (tptp.c_RealVector_Onorm__class_Onorm T_b) V_f T_b tptp.tc_RealDef_Oreal T_a) V_a T_a tptp.tc_RealDef_Oreal) (not (tptp.c_Lim_OisCont V_f V_a T_a T_b)))))
% 0.51/0.86  (assume a330 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_RealVector_Obounded__linear (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_a) T_a T_a))))
% 0.51/0.86  (assume a331 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_b)) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a))))))
% 0.51/0.86  (assume a332 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a)) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_b))))))
% 0.51/0.86  (assume a333 (forall ((V_a $$unsorted)) (tptp.c_Lim_OLIM tptp.c_Complex_OIm V_a (tptp.hAPP tptp.c_Complex_OIm V_a) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal)))
% 0.51/0.86  (assume a334 (tptp.c_Lim_OisUCont tptp.c_Complex_OIm tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a335 (forall ((V_X $$unsorted) (V_a $$unsorted)) (or (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm V_X tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.hAPP tptp.c_Complex_OIm V_a) tptp.tc_RealDef_Oreal) (not (tptp.c_SEQ_OLIMSEQ V_X V_a tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a336 (forall ((V_f $$unsorted) (V_g $$unsorted) (V_A $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Set_Oimage V_g V_A T_c T_b) T_b T_a) (tptp.c_Set_Oimage (tptp.c_COMBB V_f V_g T_b T_a T_c) V_A T_c T_a))))
% 0.51/0.86  (assume a337 (forall ((T_a $$unsorted) (V_X $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_X T_a T_a tptp.tc_nat) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a) T_a) (not (tptp.c_SEQ_OLIMSEQ V_X V_a T_a)))))
% 0.51/0.86  (assume a338 (forall ((T_a $$unsorted) (V_X $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_OLIMSEQ V_X V_a T_a) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_X T_a T_a tptp.tc_nat) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus T_a) V_a) T_a)))))
% 0.51/0.86  (assume a339 (forall ((V_y $$unsorted)) (or tptp.v_thesis____ (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a340 (forall ((T_a $$unsorted) (V_X $$unsorted) (V_L $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_SEQ_Oconvergent V_X T_a) (not (tptp.c_SEQ_OLIMSEQ V_X V_L T_a)))))
% 0.51/0.86  (assume a341 (forall ((T_a $$unsorted) (V_X $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_SEQ_Oconvergent V_X T_a) (not (tptp.c_SEQ_OLIMSEQ V_X V_x T_a)))))
% 0.51/0.86  (assume a342 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.hAPP tptp.c_Complex_OIm V_x) (tptp.hAPP tptp.c_Complex_OIm V_y))) (not (= (tptp.hAPP tptp.c_Complex_ORe V_x) (tptp.hAPP tptp.c_Complex_ORe V_y))) (= V_x V_y))))
% 0.51/0.86  (assume a343 (tptp.c_SEQ_Oconvergent (tptp.c_COMBB tptp.c_Complex_ORe (tptp.c_COMBB tptp.v_s tptp.v_f____ tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a344 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (= V_k V_l) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBK V_k T_a tptp.tc_nat) V_l T_a)))))
% 0.51/0.86  (assume a345 (forall ((T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_g $$unsorted) (V_f $$unsorted) (V_a $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.class_RealVector_Ometric__space T_b)) (not (tptp.class_RealVector_Ometric__space T_c)) (tptp.c_Lim_OLIM (tptp.c_COMBB V_g V_f T_a T_b T_c) V_a (tptp.hAPP V_g V_l) T_c T_b) (not (tptp.c_Lim_OLIM V_f V_a V_l T_c T_a)) (not (tptp.c_Lim_OLIM V_g V_l (tptp.hAPP V_g V_l) T_a T_b)))))
% 0.51/0.86  (assume a346 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_OLIMSEQ V_X (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB (tptp.c_RealVector_Onorm__class_Onorm T_a) V_X T_a tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a347 (forall ((T_a $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB (tptp.c_RealVector_Onorm__class_Onorm T_a) V_X T_a tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_SEQ_OLIMSEQ V_X (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 0.51/0.86  (assume a348 (tptp.c_SEQ_Osubseq tptp.v_ga____))
% 0.51/0.86  (assume a349 (forall ((T_a $$unsorted) (V_X $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB (tptp.c_RealVector_Onorm__class_Onorm T_a) V_X T_a tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.hAPP (tptp.c_RealVector_Onorm__class_Onorm T_a) V_a) tptp.tc_RealDef_Oreal) (not (tptp.c_SEQ_OLIMSEQ V_X V_a T_a)))))
% 0.51/0.86  (assume a350 (forall ((V_x $$unsorted) (V_y $$unsorted)) (= (tptp.hAPP tptp.c_Complex_OIm (tptp.c_Complex_Ocomplex_OComplex V_x V_y)) V_y)))
% 0.51/0.86  (assume a351 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_k $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB V_f (tptp.c_COMBC (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat T_a tptp.tc_nat) V_a T_a) (not (tptp.c_SEQ_OLIMSEQ V_f V_a T_a)))))
% 0.51/0.86  (assume a352 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_SEQ_OLIMSEQ V_f V_a T_a) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB V_f (tptp.c_COMBC (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) V_k tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat T_a tptp.tc_nat) V_a T_a)))))
% 0.51/0.86  (assume a353 (forall ((T_a $$unsorted) (V_X $$unsorted) (V_L $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (= (tptp.c_SEQ_Olim V_X T_a) V_L) (not (tptp.c_SEQ_OLIMSEQ V_X V_L T_a)))))
% 0.51/0.86  (assume a354 (forall ((V_g $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_net $$unsorted)) (or (tptp.c_Limits_Otendsto (tptp.c_COMBB tptp.c_Complex_OIm V_g tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal T_a) (tptp.hAPP tptp.c_Complex_OIm V_a) V_net T_a tptp.tc_RealDef_Oreal) (not (tptp.c_Limits_Otendsto V_g V_a V_net T_a tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a355 (tptp.c_SEQ_Omonoseq (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat)))
% 0.51/0.86  (assume a356 (forall ((V_X $$unsorted)) (or (tptp.c_SEQ_OZseq (tptp.c_COMBB tptp.c_Complex_OIm V_X tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) tptp.tc_RealDef_Oreal) (not (tptp.c_SEQ_OZseq V_X tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a357 (forall ((T_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBK V_k T_a tptp.tc_nat) V_k T_a))))
% 0.51/0.86  (assume a358 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBK V_x T_a tptp.tc_nat) V_x T_a))))
% 0.51/0.86  (assume a359 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_X $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__normed__vector T_b)) (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB V_f V_X T_a T_b tptp.tc_nat) (tptp.hAPP V_f V_a) T_b) (not (tptp.c_SEQ_OLIMSEQ V_X V_a T_a)) (not (tptp.c_RealVector_Obounded__linear V_f T_a T_b)))))
% 0.51/0.86  (assume a360 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_X $$unsorted) (V_S $$unsorted) (V_L $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_b)) (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB V_X V_S T_a T_b tptp.tc_nat) V_L T_b) (not (tptp.c_SEQ_OLIMSEQ V_S V_a T_a)) (= (tptp.hAPP V_S (tptp.c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1 V_S V_a T_a)) V_a) (not (tptp.c_Lim_OLIM V_X V_a V_L T_a T_b)))))
% 0.51/0.86  (assume a361 (forall ((V_g $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP tptp.c_Complex_OIm (tptp.c_Finite__Set_Osetsum V_g V_A T_a tptp.tc_Complex_Ocomplex)) (tptp.c_Finite__Set_Osetsum (tptp.c_COMBB tptp.c_Complex_OIm V_g tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal T_a) V_A T_a tptp.tc_RealDef_Oreal))))
% 0.51/0.86  (assume a362 (forall ((T_a $$unsorted) (V_X $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (not (tptp.class_RealVector_Oreal__algebra__1 T_a)) (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB (tptp.c_RealVector_Oof__real T_a) V_X tptp.tc_RealDef_Oreal T_a tptp.tc_nat) (tptp.hAPP (tptp.c_RealVector_Oof__real T_a) V_a) T_a) (not (tptp.c_SEQ_OLIMSEQ V_X V_a tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a363 (forall ((V_X $$unsorted) (V_a $$unsorted)) (or (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_ORe V_X tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.hAPP tptp.c_Complex_ORe V_a) tptp.tc_RealDef_Oreal) (not (tptp.c_SEQ_OLIMSEQ V_X V_a tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a364 (forall ((V_X $$unsorted)) (or (tptp.c_SEQ_OCauchy (tptp.c_COMBB tptp.c_Complex_OIm V_X tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) tptp.tc_RealDef_Oreal) (not (tptp.c_SEQ_OCauchy V_X tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a365 (forall ((V_X $$unsorted) (V_a $$unsorted)) (or (tptp.c_Series_Osums (tptp.c_COMBB tptp.c_Complex_OIm V_X tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.hAPP tptp.c_Complex_OIm V_a) tptp.tc_RealDef_Oreal) (not (tptp.c_Series_Osums V_X V_a tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a366 (forall ((V_g $$unsorted) (T_a $$unsorted) (V_net $$unsorted)) (or (tptp.c_Limits_OZfun (tptp.c_COMBB tptp.c_Complex_OIm V_g tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal T_a) V_net T_a tptp.tc_RealDef_Oreal) (not (tptp.c_Limits_OZfun V_g V_net T_a tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a367 (forall ((T_a $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_g $$unsorted) (V_f $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (not (tptp.class_RealVector_Ometric__space T_c)) (not (tptp.class_RealVector_Ometric__space T_b)) (tptp.c_Lim_OisCont (tptp.c_COMBB V_g V_f T_b T_c T_a) V_a T_a T_c) (not (tptp.c_Lim_OisCont V_g (tptp.hAPP V_f V_a) T_b T_c)) (not (tptp.c_Lim_OisCont V_f V_a T_a T_b)))))
% 0.51/0.86  (assume a368 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_X $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (= V_a V_b) (not (tptp.c_SEQ_OLIMSEQ V_X V_b T_a)) (not (tptp.c_SEQ_OLIMSEQ V_X V_a T_a)))))
% 0.51/0.86  (assume a369 (tptp.c_SEQ_Oconvergent (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a370 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_X $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__algebra T_a)) (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_X T_a T_a tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes T_a) V_x) V_a) T_a) (not (tptp.c_SEQ_OLIMSEQ V_X V_a T_a)))))
% 0.51/0.86  (assume a371 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_g $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__field T_a)) (tptp.c_Deriv_Odifferentiable (tptp.c_COMBB V_f V_g T_a T_a T_a) V_x T_a) (not (tptp.c_Deriv_Odifferentiable V_g V_x T_a)) (not (tptp.c_Deriv_Odifferentiable V_f (tptp.hAPP V_g V_x) T_a)))))
% 0.51/0.86  (assume a372 (tptp.c_SEQ_Osubseq tptp.v_f____))
% 0.51/0.86  (assume a373 (forall ((T_a $$unsorted) (V_r $$unsorted) (V_X $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__vector T_a)) (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_X T_a T_a tptp.tc_nat) (tptp.hAPP (tptp.hAPP (tptp.c_RealVector_OscaleR__class_OscaleR T_a) V_r) V_a) T_a) (not (tptp.c_SEQ_OLIMSEQ V_X V_a T_a)))))
% 0.51/0.86  (assume a374 (forall ((V_a $$unsorted)) (tptp.c_Lim_OisCont tptp.c_Complex_OIm V_a tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal)))
% 0.51/0.86  (assume a375 (forall ((T_a $$unsorted) (V_X $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_SEQ_OCauchy V_X T_a) (not (tptp.c_SEQ_OLIMSEQ V_X V_a T_a)))))
% 0.51/0.86  (assume a376 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB V_f tptp.c_Suc tptp.tc_nat T_a tptp.tc_nat) V_l T_a) (not (tptp.c_SEQ_OLIMSEQ V_f V_l T_a)))))
% 0.51/0.86  (assume a377 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_SEQ_OLIMSEQ V_f V_l T_a) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB V_f tptp.c_Suc tptp.tc_nat T_a tptp.tc_nat) V_l T_a)))))
% 0.51/0.86  (assume a378 (forall ((V_P $$unsorted) (V_Q $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (V_R $$unsorted)) (= (tptp.hAPP (tptp.c_COMBB V_P V_Q T_b T_a T_c) V_R) (tptp.hAPP V_P (tptp.hAPP V_Q V_R)))))
% 0.51/0.86  (assume a379 (tptp.c_SEQ_Omonoseq (tptp.c_COMBB tptp.c_Complex_ORe (tptp.c_COMBB tptp.v_s tptp.v_f____ tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat)))
% 0.51/0.86  (assume a380 (forall ((T_a $$unsorted) (V_X $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_RealVector_Oreal__normed__div__algebra T_a)) (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_X T_a T_a tptp.tc_nat) (tptp.hAPP (tptp.c_HOL_Oinverse__class_Oinverse T_a) V_a) T_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_SEQ_OLIMSEQ V_X V_a T_a)))))
% 0.51/0.86  (assume a381 (forall ((T_a $$unsorted) (V_g $$unsorted) (V_a $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_RealVector_Ometric__space T_a)) (tptp.c_Lim_OLIM (tptp.c_COMBB tptp.c_Complex_OIm V_g tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal T_a) V_a (tptp.hAPP tptp.c_Complex_OIm V_l) T_a tptp.tc_RealDef_Oreal) (not (tptp.c_Lim_OLIM V_g V_a V_l T_a tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a382 (forall ((V_X $$unsorted)) (or (= (tptp.hAPP tptp.c_Complex_OIm (tptp.c_Series_Osuminf V_X tptp.tc_Complex_Ocomplex)) (tptp.c_Series_Osuminf (tptp.c_COMBB tptp.c_Complex_OIm V_X tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) tptp.tc_RealDef_Oreal)) (not (tptp.c_Series_Osummable V_X tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a383 (forall ((V_X $$unsorted)) (or (tptp.c_Series_Osummable (tptp.c_COMBB tptp.c_Complex_OIm V_X tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) tptp.tc_RealDef_Oreal) (not (tptp.c_Series_Osummable V_X tptp.tc_Complex_Ocomplex)))))
% 0.51/0.86  (assume a384 (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.v_sko__CHAINED__1 tptp.v_f____ tptp.v_ga____ tptp.v_s) tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a385 (not tptp.v_thesis____))
% 0.51/0.86  (assume a386 (forall ((V_x $$unsorted)) (or tptp.v_thesis____ (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_x tptp.tc_RealDef_Oreal)))))
% 0.51/0.86  (assume a387 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Oboolean__algebra (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Oboolean__algebra T_1)))))
% 0.51/0.86  (assume a388 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat))
% 0.51/0.86  (assume a389 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat))
% 0.51/0.86  (assume a390 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat))
% 0.51/0.86  (assume a391 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat))
% 0.51/0.86  (assume a392 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat))
% 0.51/0.86  (assume a393 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat))
% 0.51/0.86  (assume a394 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat))
% 0.51/0.86  (assume a395 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat))
% 0.51/0.86  (assume a396 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat))
% 0.51/0.86  (assume a397 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat))
% 0.51/0.86  (assume a398 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat))
% 0.51/0.86  (assume a399 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat))
% 0.51/0.86  (assume a400 (tptp.class_HOL_Ozero tptp.tc_nat))
% 0.51/0.86  (assume a401 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool))
% 0.51/0.86  (assume a402 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a403 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a404 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a405 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a406 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a407 (tptp.class_OrderedGroup_Oordered__ab__group__add tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a408 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a409 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a410 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a411 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a412 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a413 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a414 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a415 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a416 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a417 (tptp.class_Ring__and__Field_Odivision__ring tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a418 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a419 (tptp.class_RealVector_Otopological__space tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a420 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a421 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a422 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a423 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a424 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a425 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a426 (tptp.class_Ring__and__Field_Osemiring tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a427 (tptp.class_RealVector_Oreal__algebra tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a428 (tptp.class_RealVector_Ometric__space tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a429 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a430 (tptp.class_RealVector_Oreal__vector tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a431 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a432 (tptp.class_Ring__and__Field_Ofield tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a433 (tptp.class_Ring__and__Field_Oring tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a434 (tptp.class_Ring__and__Field_Oidom tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a435 (tptp.class_SEQ_Ocomplete__space tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a436 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a437 (tptp.class_SEQ_Obanach tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a438 (tptp.class_HOL_Ozero tptp.tc_RealDef_Oreal))
% 0.51/0.86  (assume a439 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a440 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a441 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a442 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a443 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a444 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a445 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a446 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a447 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a448 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a449 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a450 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a451 (tptp.class_Ring__and__Field_Odivision__ring tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a452 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a453 (tptp.class_RealVector_Otopological__space tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a454 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a455 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a456 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a457 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a458 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a459 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a460 (tptp.class_Ring__and__Field_Osemiring tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a461 (tptp.class_RealVector_Oreal__algebra tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a462 (tptp.class_RealVector_Ometric__space tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a463 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a464 (tptp.class_RealVector_Oreal__vector tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a465 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a466 (tptp.class_Ring__and__Field_Ofield tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a467 (tptp.class_Ring__and__Field_Oring tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a468 (tptp.class_Ring__and__Field_Oidom tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a469 (tptp.class_SEQ_Ocomplete__space tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a470 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a471 (tptp.class_SEQ_Obanach tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a472 (tptp.class_HOL_Ozero tptp.tc_Complex_Ocomplex))
% 0.51/0.86  (assume a473 (forall ((V_P $$unsorted) (V_Q $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (= (tptp.hAPP (tptp.c_COMBC V_P V_Q T_b T_c T_a) V_R) (tptp.hAPP (tptp.hAPP V_P V_R) V_Q))))
% 0.51/0.86  (assume a474 (forall ((V_P $$unsorted) (V_Q $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (V_R $$unsorted)) (= (tptp.hAPP (tptp.c_COMBB V_P V_Q T_b T_a T_c) V_R) (tptp.hAPP V_P (tptp.hAPP V_Q V_R)))))
% 0.51/0.86  (assume a475 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_fequal V_x V_x T_a)))
% 0.51/0.86  (assume a476 (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.c_fequal V_X V_Y T_a)))))
% 0.51/0.86  (step t1 (cl (=> (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal))) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.v_sko__CHAINED__1 tptp.v_f____ tptp.v_ga____ tptp.v_s) tptp.tc_RealDef_Oreal))) (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal)))) :rule implies_neg1)
% 0.51/0.86  (anchor :step t2)
% 0.51/0.86  (assume t2.a0 (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal))))
% 0.51/0.86  (step t2.t1 (cl (or (not (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal)))) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.v_sko__CHAINED__1 tptp.v_f____ tptp.v_ga____ tptp.v_s) tptp.tc_RealDef_Oreal)))) :rule forall_inst :args ((:= V_y (tptp.v_sko__CHAINED__1 tptp.v_f____ tptp.v_ga____ tptp.v_s))))
% 0.51/0.86  (step t2.t2 (cl (not (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal)))) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.v_sko__CHAINED__1 tptp.v_f____ tptp.v_ga____ tptp.v_s) tptp.tc_RealDef_Oreal))) :rule or :premises (t2.t1))
% 0.51/0.86  (step t2.t3 (cl (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.v_sko__CHAINED__1 tptp.v_f____ tptp.v_ga____ tptp.v_s) tptp.tc_RealDef_Oreal))) :rule resolution :premises (t2.t2 t2.a0))
% 0.51/0.86  (step t2 (cl (not (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal)))) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.v_sko__CHAINED__1 tptp.v_f____ tptp.v_ga____ tptp.v_s) tptp.tc_RealDef_Oreal))) :rule subproof :discharge (t2.a0))
% 0.51/0.86  (step t3 (cl (=> (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal))) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.v_sko__CHAINED__1 tptp.v_f____ tptp.v_ga____ tptp.v_s) tptp.tc_RealDef_Oreal))) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.v_sko__CHAINED__1 tptp.v_f____ tptp.v_ga____ tptp.v_s) tptp.tc_RealDef_Oreal))) :rule resolution :premises (t1 t2))
% 0.51/0.86  (step t4 (cl (=> (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal))) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.v_sko__CHAINED__1 tptp.v_f____ tptp.v_ga____ tptp.v_s) tptp.tc_RealDef_Oreal))) (not (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.v_sko__CHAINED__1 tptp.v_f____ tptp.v_ga____ tptp.v_s) tptp.tc_RealDef_Oreal)))) :rule implies_neg2)
% 0.51/0.86  (step t5 (cl (=> (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal))) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.v_sko__CHAINED__1 tptp.v_f____ tptp.v_ga____ tptp.v_s) tptp.tc_RealDef_Oreal))) (=> (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal))) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.v_sko__CHAINED__1 tptp.v_f____ tptp.v_ga____ tptp.v_s) tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t3 t4))
% 0.51/0.86  (step t6 (cl (=> (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal))) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.v_sko__CHAINED__1 tptp.v_f____ tptp.v_ga____ tptp.v_s) tptp.tc_RealDef_Oreal)))) :rule contraction :premises (t5))
% 0.51/0.86  (step t7 (cl (not (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal)))) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) (tptp.v_sko__CHAINED__1 tptp.v_f____ tptp.v_ga____ tptp.v_s) tptp.tc_RealDef_Oreal))) :rule implies :premises (t6))
% 0.51/0.86  (step t8 (cl (not (= (forall ((V_y $$unsorted)) (or tptp.v_thesis____ (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal)))) (or tptp.v_thesis____ (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal)))))) (not (forall ((V_y $$unsorted)) (or tptp.v_thesis____ (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal))))) (or tptp.v_thesis____ (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal))))) :rule equiv_pos2)
% 0.51/0.86  (step t9 (cl (= (forall ((V_y $$unsorted)) (or tptp.v_thesis____ (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal)))) (or tptp.v_thesis____ (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal)))))) :rule all_simplify)
% 0.51/0.86  (step t10 (cl (or tptp.v_thesis____ (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal))))) :rule resolution :premises (t8 t9 a339))
% 0.51/0.86  (step t11 (cl tptp.v_thesis____ (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal)))) :rule or :premises (t10))
% 0.51/0.86  (step t12 (cl (forall ((V_y $$unsorted)) (not (tptp.c_SEQ_OLIMSEQ (tptp.c_COMBB tptp.c_Complex_OIm (tptp.c_COMBB tptp.v_s (tptp.c_COMBB tptp.v_f____ tptp.v_ga____ tptp.tc_nat tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Complex_Ocomplex tptp.tc_nat) tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_nat) V_y tptp.tc_RealDef_Oreal)))) :rule resolution :premises (t11 a385))
% 0.51/0.86  (step t13 (cl) :rule resolution :premises (t7 t12 a384))
% 0.51/0.86  
% 0.51/0.86  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.op5Vs9SPwA/cvc5---1.0.5_24929.smt2
% 0.51/0.87  % cvc5---1.0.5 exiting
% 0.51/0.87  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------