%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ALG365-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 03:41:27 EDT 2024 % Result : Unsatisfiable 0.54s 0.72s % Output : CNFRefutation 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : ALG365-1 : TPTP v8.2.0. Released v4.1.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n012.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Wed Jun 19 15:57:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.18/0.54 start to proof:theBenchmark % 0.54/0.70 %------------------------------------------- % 0.54/0.70 % File :CSE---1.7 % 0.54/0.70 % Problem :theBenchmark % 0.54/0.70 % Transform :cnf % 0.54/0.70 % Format :tptp:raw % 0.54/0.70 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.70 % 0.54/0.70 % Result :Theorem 0.030000s % 0.54/0.70 % Output :CNFRefutation 0.030000s % 0.54/0.70 %------------------------------------------- % 0.54/0.70 %------------------------------------------------------------------------------ % 0.54/0.70 % File : ALG365-1 : TPTP v8.2.0. Released v4.1.0. % 0.54/0.70 % Domain : General Algebra % 0.54/0.70 % Problem : Fundamental theorem of algebra 0312_5 % 0.54/0.70 % Version : Especial. % 0.54/0.70 % English : % 0.54/0.70 % 0.54/0.70 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.54/0.70 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.54/0.70 % Source : [Nip10] % 0.54/0.70 % Names : Fundamental_Theorem_Algebra-0312_5 [Nip10] % 0.54/0.70 % 0.54/0.70 % Status : Unsatisfiable % 0.54/0.70 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.00 v5.5.0, 0.10 v5.3.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.14 v4.1.0 % 0.54/0.70 % Syntax : Number of clauses : 477 ( 119 unt; 23 nHn; 270 RR) % 0.54/0.70 % Number of literals : 1148 ( 280 equ; 647 neg) % 0.54/0.70 % Maximal clause size : 6 ( 2 avg) % 0.54/0.70 % Maximal term depth : 8 ( 2 avg) % 0.54/0.70 % Number of predicates : 57 ( 56 usr; 1 prp; 0-5 aty) % 0.54/0.70 % Number of functors : 30 ( 30 usr; 10 con; 0-5 aty) % 0.54/0.70 % Number of variables : 1241 ( 105 sgn) % 0.54/0.70 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.54/0.70 % 0.54/0.70 % Comments : % 0.54/0.70 %------------------------------------------------------------------------------ % 0.54/0.70 cnf(cls_mult__left_OLIM__zero_0,axiom, % 0.54/0.70 ( ~ class_RealVector_Oreal__normed__algebra(T_b) % 0.54/0.70 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.70 | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_b),V_g,T_b,tc_fun(T_b,T_b),T_a),V_y,T_a,T_b,T_b),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) % 0.54/0.70 | ~ c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_LIM__mult__left__zero_0,axiom, % 0.54/0.70 ( ~ class_RealVector_Oreal__normed__algebra(T_b) % 0.54/0.70 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.70 | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_b),V_f,T_b,tc_fun(T_b,T_b),T_a),V_c,T_a,T_b,T_b),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) % 0.54/0.70 | ~ c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_mult__left_Otendsto_0,axiom, % 0.54/0.70 ( ~ class_RealVector_Oreal__normed__algebra(T_b) % 0.54/0.70 | c_Limits_Otendsto(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_b),V_g,T_b,tc_fun(T_b,T_b),T_a),V_y,T_a,T_b,T_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_a),V_y),V_net,T_a,T_b) % 0.54/0.70 | ~ c_Limits_Otendsto(V_g,V_a,V_net,T_a,T_b) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_mult__left_OZfun_0,axiom, % 0.54/0.70 ( ~ class_RealVector_Oreal__normed__algebra(T_b) % 0.54/0.70 | c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_b),V_g,T_b,tc_fun(T_b,T_b),T_a),V_y,T_a,T_b,T_b),V_net,T_a,T_b) % 0.54/0.70 | ~ c_Limits_OZfun(V_g,V_net,T_a,T_b) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_Zfun__mult__left_0,axiom, % 0.54/0.70 ( ~ class_RealVector_Oreal__normed__algebra(T_b) % 0.54/0.70 | c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_b),V_f,T_b,tc_fun(T_b,T_b),T_a),V_a,T_a,T_b,T_b),V_net,T_a,T_b) % 0.54/0.70 | ~ c_Limits_OZfun(V_f,V_net,T_a,T_b) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_mult__left_OLIM_0,axiom, % 0.54/0.70 ( ~ class_RealVector_Oreal__normed__algebra(T_b) % 0.54/0.70 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.70 | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_b),V_g,T_b,tc_fun(T_b,T_b),T_a),V_y,T_a,T_b,T_b),V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_l),V_y),T_a,T_b) % 0.54/0.70 | ~ c_Lim_OLIM(V_g,V_a,V_l,T_a,T_b) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_mult__left_Osetsum_0,axiom, % 0.54/0.70 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.70 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Finite__Set_Osetsum(V_g,V_A,T_b,T_a)),V_y) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_a),V_g,T_a,tc_fun(T_a,T_a),T_b),V_y,T_b,T_a,T_a),V_A,T_b,T_a) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_setsum__left__distrib_0,axiom, % 0.54/0.70 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.54/0.70 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)),V_r) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),V_r,T_b,T_a,T_a),V_A,T_b,T_a) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_scaleR__left_Osetsum_0,axiom, % 0.54/0.70 ( ~ class_RealVector_Oreal__vector(T_a) % 0.54/0.70 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),c_Finite__Set_Osetsum(V_g,V_A,T_b,tc_RealDef_Oreal)),V_x) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(T_a),V_g,tc_RealDef_Oreal,tc_fun(T_a,T_a),T_b),V_x,T_b,T_a,T_a),V_A,T_b,T_a) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_scaleR__left_OLIM_0,axiom, % 0.54/0.70 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.70 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.70 | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(T_b),V_g,tc_RealDef_Oreal,tc_fun(T_b,T_b),T_a),V_x,T_a,T_b,T_b),V_a,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_l),V_x),T_a,T_b) % 0.54/0.70 | ~ c_Lim_OLIM(V_g,V_a,V_l,T_a,tc_RealDef_Oreal) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_scaleR__left_OZfun_0,axiom, % 0.54/0.70 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.70 | c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(T_b),V_g,tc_RealDef_Oreal,tc_fun(T_b,T_b),T_a),V_x,T_a,T_b,T_b),V_net,T_a,T_b) % 0.54/0.70 | ~ c_Limits_OZfun(V_g,V_net,T_a,tc_RealDef_Oreal) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_scaleR_OZfun__left_0,axiom, % 0.54/0.70 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.70 | c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(T_b),V_f,tc_RealDef_Oreal,tc_fun(T_b,T_b),T_a),V_a,T_a,T_b,T_b),V_net,T_a,T_b) % 0.54/0.70 | ~ c_Limits_OZfun(V_f,V_net,T_a,tc_RealDef_Oreal) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_scaleR__left_Otendsto_0,axiom, % 0.54/0.70 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.70 | c_Limits_Otendsto(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(T_b),V_g,tc_RealDef_Oreal,tc_fun(T_b,T_b),T_a),V_x,T_a,T_b,T_b),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_a),V_x),V_net,T_a,T_b) % 0.54/0.70 | ~ c_Limits_Otendsto(V_g,V_a,V_net,T_a,tc_RealDef_Oreal) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_neg__equal__iff__equal_0,axiom, % 0.54/0.70 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.70 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b) % 0.54/0.70 | V_a = V_b ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_of__real_OCauchy_0,axiom, % 0.54/0.70 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.70 | ~ class_RealVector_Oreal__algebra__1(T_a) % 0.54/0.70 | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),T_a) % 0.54/0.70 | ~ c_SEQ_OCauchy(V_X,tc_RealDef_Oreal) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_mult__right_OisUCont_0,axiom, % 0.54/0.70 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.70 | c_Lim_OisUCont(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),T_a,T_a) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_Zseq__minus_0,axiom, % 0.54/0.70 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.70 | c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),T_a) % 0.54/0.70 | ~ c_SEQ_OZseq(V_X,T_a) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 0.54/0.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.70 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 0.54/0.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.70 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 0.54/0.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.70 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_summable__norm__cancel_0,axiom, % 0.54/0.70 ( ~ class_SEQ_Obanach(T_a) % 0.54/0.70 | c_Series_Osummable(V_f,T_a) % 0.54/0.70 | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_f,T_a,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ) ). % 0.54/0.70 % 0.54/0.70 cnf(cls_neg__equal__0__iff__equal_0,axiom, % 0.54/0.70 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.70 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.70 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_of__real__0_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 0.54/0.71 | hAPP(c_RealVector_Oof__real(T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_of__real_Ozero_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.71 | ~ class_RealVector_Oreal__algebra__1(T_a) % 0.54/0.71 | hAPP(c_RealVector_Oof__real(T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult__right_Ocont_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | c_Lim_OLIM(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_a),T_a,T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_isCont__inverse_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.71 | ~ class_RealVector_Oreal__normed__div__algebra(T_b) % 0.54/0.71 | c_Lim_OisCont(c_COMBB(c_HOL_Oinverse__class_Oinverse(T_b),V_f,T_b,T_b,T_a),V_a,T_a,T_b) % 0.54/0.71 | hAPP(V_f,V_a) = c_HOL_Ozero__class_Ozero(T_b) % 0.54/0.71 | ~ c_Lim_OisCont(V_f,V_a,T_a,T_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_differentiable__const_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.54/0.71 | c_Deriv_Odifferentiable(c_COMBK(V_a,T_a,T_a),V_x,T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_Zseq__norm__iff_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.71 | c_SEQ_OZseq(V_X,T_a) % 0.54/0.71 | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_X,T_a,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_Zseq__norm__iff_1,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.71 | c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_X,T_a,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) % 0.54/0.71 | ~ c_SEQ_OZseq(V_X,T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult__right_OCauchy_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | c_SEQ_OCauchy(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_X,T_a,T_a,tc_nat),T_a) % 0.54/0.71 | ~ c_SEQ_OCauchy(V_X,T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult__right_OisCont_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | c_Lim_OisCont(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_a,T_a,T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_scaleR_OLIM__left__zero_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.71 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.71 | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(T_b),V_f,tc_RealDef_Oreal,tc_fun(T_b,T_b),T_a),V_c,T_a,T_b,T_b),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) % 0.54/0.71 | ~ c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a,tc_RealDef_Oreal) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_scaleR__left_OLIM__zero_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.71 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.71 | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(T_b),V_g,tc_RealDef_Oreal,tc_fun(T_b,T_b),T_a),V_x,T_a,T_b,T_b),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) % 0.54/0.71 | ~ c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a,tc_RealDef_Oreal) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_compl__eq__compl__iff_0,axiom, % 0.54/0.71 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.54/0.71 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y) % 0.54/0.71 | V_x = V_y ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_Zseq__const__iff_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.71 | V_k = c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.71 | ~ c_SEQ_OZseq(c_COMBK(V_k,T_a,tc_nat),T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_LIM__unique_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Ometric__space(T_b) % 0.54/0.71 | ~ class_RealVector_Oreal__normed__algebra__1(T_a) % 0.54/0.71 | V_L = V_M % 0.54/0.71 | ~ c_Lim_OLIM(V_f,V_a,V_M,T_a,T_b) % 0.54/0.71 | ~ c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_Zfun__norm__iff_1,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.71 | c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_net,T_a,tc_RealDef_Oreal) % 0.54/0.71 | ~ c_Limits_OZfun(V_f,V_net,T_a,T_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_Zfun__norm__iff_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.71 | c_Limits_OZfun(V_f,V_net,T_a,T_b) % 0.54/0.71 | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_net,T_a,tc_RealDef_Oreal) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_isCont__const_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.71 | ~ class_RealVector_Ometric__space(T_b) % 0.54/0.71 | c_Lim_OisCont(c_COMBK(V_k,T_b,T_a),V_a,T_a,T_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_Zfun__minus_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.71 | c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_b),V_f,T_b,T_b,T_a),V_net,T_a,T_b) % 0.54/0.71 | ~ c_Limits_OZfun(V_f,V_net,T_a,T_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_minus__mult__left_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Oring(T_a) % 0.54/0.71 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_minus__mult__right_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Oring(T_a) % 0.54/0.71 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_bounded__linear_OisUCont_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.71 | ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.71 | c_Lim_OisUCont(V_f,T_a,T_b) % 0.54/0.71 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult__right_OZseq_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_X,T_a,T_a,tc_nat),T_a) % 0.54/0.71 | ~ c_SEQ_OZseq(V_X,T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_Zseq__mult__right_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_X,T_a,T_a,tc_nat),T_a) % 0.54/0.71 | ~ c_SEQ_OZseq(V_X,T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult__left__idem_0,axiom, % 0.54/0.71 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_Re_OZfun_0,axiom, % 0.54/0.71 ( c_Limits_OZfun(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_net,T_a,tc_RealDef_Oreal) % 0.54/0.71 | ~ c_Limits_OZfun(V_g,V_net,T_a,tc_Complex_Ocomplex) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_Re_OCauchy_0,axiom, % 0.54/0.71 ( c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) % 0.54/0.71 | ~ c_SEQ_OCauchy(V_X,tc_Complex_Ocomplex) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_add__minus__cancel_0,axiom, % 0.54/0.71 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b)) = V_b ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_complex_Oinject_1,axiom, % 0.54/0.71 ( c_Complex_Ocomplex_OComplex(V_real1,V_real2) != c_Complex_Ocomplex_OComplex(V_real1_H,V_real2_H) % 0.54/0.71 | V_real2 = V_real2_H ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_complex_Oinject_0,axiom, % 0.54/0.71 ( c_Complex_Ocomplex_OComplex(V_real1,V_real2) != c_Complex_Ocomplex_OComplex(V_real1_H,V_real2_H) % 0.54/0.71 | V_real1 = V_real1_H ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_of__real_OLIM__zero_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.71 | ~ class_RealVector_Oreal__algebra__1(T_b) % 0.54/0.71 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.71 | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(T_b),V_g,tc_RealDef_Oreal,T_b,T_a),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) % 0.54/0.71 | ~ c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a,tc_RealDef_Oreal) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.54/0.71 | ~ class_Int_Onumber__ring(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_c)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_d)) % 0.54/0.71 | V_c = V_d % 0.54/0.71 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)) != c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.71 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)) != c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.71 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_n__not__Suc__n_0,axiom, % 0.54/0.71 V_n != hAPP(c_Suc,V_n) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_Suc__n__not__n_0,axiom, % 0.54/0.71 hAPP(c_Suc,V_n) != V_n ). % 0.54/0.71 % 0.54/0.71 cnf(cls_scaleR__right_Ocont_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.71 | c_Lim_OLIM(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_a,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_a),T_a,T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult__idem_0,axiom, % 0.54/0.71 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult__right_OLIM__zero_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_b) % 0.54/0.71 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.71 | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x),V_g,T_b,T_b,T_a),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) % 0.54/0.71 | ~ c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_LIM__mult__right__zero_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_b) % 0.54/0.71 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.71 | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_c),V_f,T_b,T_b,T_a),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) % 0.54/0.71 | ~ c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult_Obounded__linear__right_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | c_RealVector_Obounded__linear(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),T_a,T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_of__real__eq__0__iff_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 0.54/0.71 | hAPP(c_RealVector_Oof__real(T_a),V_x) != c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.71 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_inverse__eq__iff__eq_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.54/0.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.54/0.71 | hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a) != hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b) % 0.54/0.71 | V_a = V_b ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.54/0.71 | hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a) != hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b) % 0.54/0.71 | V_a = V_b % 0.54/0.71 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.71 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.54/0.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.54/0.71 | hAPP(c_HOL_Oinverse__class_Oinverse(T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_inverse__zero_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.54/0.71 | hAPP(c_HOL_Oinverse__class_Oinverse(T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_tendsto__minus_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.71 | c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_b),V_f,T_b,T_b,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_b),V_a),V_net,T_a,T_b) % 0.54/0.71 | ~ c_Limits_Otendsto(V_f,V_a,V_net,T_a,T_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_tendsto__minus__cancel_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.71 | c_Limits_Otendsto(V_f,V_a,V_net,T_a,T_b) % 0.54/0.71 | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_b),V_f,T_b,T_b,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_b),V_a),V_net,T_a,T_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_bounded__linear_OLIM__zero_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.71 | ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.71 | ~ class_RealVector_Ometric__space(T_c) % 0.54/0.71 | c_Lim_OLIM(c_COMBB(V_f,V_g,T_a,T_b,T_c),V_a,c_HOL_Ozero__class_Ozero(T_b),T_c,T_b) % 0.54/0.71 | ~ c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_a),T_c,T_a) % 0.54/0.71 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_inverse__minus__eq_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.54/0.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.54/0.71 | hAPP(c_HOL_Oinverse__class_Oinverse(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_Re_Ocont_0,axiom, % 0.54/0.71 c_Lim_OLIM(c_Complex_ORe,V_a,hAPP(c_Complex_ORe,V_a),tc_Complex_Ocomplex,tc_RealDef_Oreal) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_summable__minus_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.71 | c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),T_a) % 0.54/0.71 | ~ c_Series_Osummable(V_X,T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 0.54/0.71 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_class__semiring_Omul__a_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),V_z) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult__right_Oadd_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),V_y)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult_Oadd__right_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_b_H)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b_H)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult__left_Oadd_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_ya) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_ya)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_ya)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult_Oadd__left_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a_H)),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a_H),V_b)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_class__semiring_Omul__d_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_LIM__not__zero_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.71 | ~ class_HOL_Ozero(T_a) % 0.54/0.71 | ~ class_RealVector_Oreal__normed__algebra__1(T_b) % 0.54/0.71 | ~ c_Lim_OLIM(c_COMBK(V_k,T_a,T_b),V_a,c_HOL_Ozero__class_Ozero(T_a),T_b,T_a) % 0.54/0.71 | V_k = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_scaleR__right_Osuminf_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.71 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),c_Series_Osuminf(V_X,T_a)) = c_Series_Osuminf(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_X,T_a,T_a,tc_nat),T_a) % 0.54/0.71 | ~ c_Series_Osummable(V_X,T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_neg__equal__zero_0,axiom, % 0.54/0.71 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.54/0.71 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) != V_a % 0.54/0.71 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_m) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult_Obounded__linear__left_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | c_RealVector_Obounded__linear(c_COMBC(c_HOL_Otimes__class_Otimes(T_a),V_b,T_a,T_a,T_a),T_a,T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult_Ominus__left_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult__left_Ominus_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)),V_y) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult_Ominus__right_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult__right_Ominus_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),V_x)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_square__eq__iff_1,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_minus__mult__minus_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Oring(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_of__real_OZfun_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.71 | ~ class_RealVector_Oreal__algebra__1(T_b) % 0.54/0.71 | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(T_b),V_g,tc_RealDef_Oreal,T_b,T_a),V_net,T_a,T_b) % 0.54/0.71 | ~ c_Limits_OZfun(V_g,V_net,T_a,tc_RealDef_Oreal) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult__right_Otendsto_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_b) % 0.54/0.71 | c_Limits_Otendsto(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x),V_g,T_b,T_b,T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x),V_a),V_net,T_a,T_b) % 0.54/0.71 | ~ c_Limits_Otendsto(V_g,V_a,V_net,T_a,T_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_scaleR__right_OZfun_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.71 | c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_r),V_g,T_b,T_b,T_a),V_net,T_a,T_b) % 0.54/0.71 | ~ c_Limits_OZfun(V_g,V_net,T_a,T_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_scaleR_OZfun__right_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.71 | c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_a),V_f,T_b,T_b,T_a),V_net,T_a,T_b) % 0.54/0.71 | ~ c_Limits_OZfun(V_f,V_net,T_a,T_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_inverse__add_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a))),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b)) % 0.54/0.71 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.71 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_division__ring__inverse__add_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b))),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b)) % 0.54/0.71 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.71 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_Re_OZseq_0,axiom, % 0.54/0.71 ( c_SEQ_OZseq(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) % 0.54/0.71 | ~ c_SEQ_OZseq(V_X,tc_Complex_Ocomplex) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult__right_Osuminf_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),c_Series_Osuminf(V_X,T_a)) = c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_X,T_a,T_a,tc_nat),T_a) % 0.54/0.71 | ~ c_Series_Osummable(V_X,T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_suminf__mult_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.71 | c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_f,T_a,T_a,tc_nat),T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),c_Series_Osuminf(V_f,T_a)) % 0.54/0.71 | ~ c_Series_Osummable(V_f,T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_Re_Osuminf_0,axiom, % 0.54/0.71 ( hAPP(c_Complex_ORe,c_Series_Osuminf(V_X,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) % 0.54/0.71 | ~ c_Series_Osummable(V_X,tc_Complex_Ocomplex) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.54/0.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.71 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_mult__right_OLIM_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__algebra(T_b) % 0.54/0.71 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.71 | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x),V_g,T_b,T_b,T_a),V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x),V_l),T_a,T_b) % 0.54/0.71 | ~ c_Lim_OLIM(V_g,V_a,V_l,T_a,T_b) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_Re_OLIM_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.71 | c_Lim_OLIM(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_a,hAPP(c_Complex_ORe,V_l),T_a,tc_RealDef_Oreal) % 0.54/0.71 | ~ c_Lim_OLIM(V_g,V_a,V_l,T_a,tc_Complex_Ocomplex) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_differentiable__minus_0,axiom, % 0.54/0.71 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.54/0.71 | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_f,T_a,T_a,T_a),V_x,T_a) % 0.54/0.71 | ~ c_Deriv_Odifferentiable(V_f,V_x,T_a) ) ). % 0.54/0.71 % 0.54/0.71 cnf(cls_nat__add__right__cancel_0,axiom, % 0.54/0.72 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k) % 0.54/0.72 | V_m = V_n ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_nat__add__left__cancel_0,axiom, % 0.54/0.72 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n) % 0.54/0.72 | V_m = V_n ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_natgb_Oadd__cancel_0,axiom, % 0.54/0.72 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z) % 0.54/0.72 | V_y = V_z ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.54/0.72 | ~ class_Int_Onumber__ring(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) % 0.54/0.72 | V_y = V_z ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_add__imp__eq_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) % 0.54/0.72 | V_b = V_c ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_add__left__cancel_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) % 0.54/0.72 | V_b = V_c ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_add__right__cancel_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) % 0.54/0.72 | V_b = V_c ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_inverse__mult__distrib_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.54/0.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.54/0.72 | hAPP(c_HOL_Oinverse__class_Oinverse(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_nonzero__inverse__mult__distrib_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.54/0.72 | hAPP(c_HOL_Oinverse__class_Oinverse(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b)),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)) % 0.54/0.72 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIM__const__not__eq_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__algebra__1(T_b) % 0.54/0.72 | ~ c_Lim_OLIM(c_COMBK(V_k,T_a,T_b),V_a,V_L,T_b,T_a) % 0.54/0.72 | V_k = V_L ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIM__const__eq_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__algebra__1(T_a) % 0.54/0.72 | V_k = V_L % 0.54/0.72 | ~ c_Lim_OLIM(c_COMBK(V_k,T_b,T_a),V_a,V_L,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_nonzero__inverse__inverse__eq_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.54/0.72 | hAPP(c_HOL_Oinverse__class_Oinverse(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)) = V_a % 0.54/0.72 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__right_Osetsum_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),c_Finite__Set_Osetsum(V_g,V_A,T_b,T_a)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_g,T_a,T_a,T_b),V_A,T_b,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_setsum__right__distrib_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_f,T_a,T_a,T_b),V_A,T_b,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_add__Suc__shift_0,axiom, % 0.54/0.72 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,V_m)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n)) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIM__inverse_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__div__algebra(T_b) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_Lim_OLIM(c_COMBB(c_HOL_Oinverse__class_Oinverse(T_b),V_f,T_b,T_b,T_a),V_a,hAPP(c_HOL_Oinverse__class_Oinverse(T_b),V_L),T_a,T_b) % 0.54/0.72 | V_L = c_HOL_Ozero__class_Ozero(T_b) % 0.54/0.72 | ~ c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_isCont__minus_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_b),V_f,T_b,T_b,T_a),V_a,T_a,T_b) % 0.54/0.72 | ~ c_Lim_OisCont(V_f,V_a,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_suminf__minus_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Series_Osuminf(V_X,T_a)) % 0.54/0.72 | ~ c_Series_Osummable(V_X,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__eq__0__iff_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_x) != c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult_OscaleR__left_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_a)),V_b) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__left_OscaleR_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_x)),V_y) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult_OscaleR__right_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_b)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__eq__0__iff_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_no__zero__divisors_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_no__zero__divirors__neq0_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_summable__zero_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Series_Osummable(c_COMBK(c_HOL_Ozero__class_Ozero(T_a),T_a,tc_nat),T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_double__eq__0__iff_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_of__real_Otendsto_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | ~ class_RealVector_Oreal__algebra__1(T_b) % 0.54/0.72 | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(T_b),V_g,tc_RealDef_Oreal,T_b,T_a),hAPP(c_RealVector_Oof__real(T_b),V_a),V_net,T_a,T_b) % 0.54/0.72 | ~ c_Limits_Otendsto(V_g,V_a,V_net,T_a,tc_RealDef_Oreal) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_sums__zero_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Series_Osums(c_COMBK(c_HOL_Ozero__class_Ozero(T_a),T_a,tc_nat),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_isCont__iff_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | c_Lim_OLIM(c_COMBB(V_f,hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),T_a,T_b,T_a),c_HOL_Ozero__class_Ozero(T_a),hAPP(V_f,V_x),T_a,T_b) % 0.54/0.72 | ~ c_Lim_OisCont(V_f,V_x,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_isCont__iff_1,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | c_Lim_OisCont(V_f,V_x,T_a,T_b) % 0.54/0.72 | ~ c_Lim_OLIM(c_COMBB(V_f,hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),T_a,T_b,T_a),c_HOL_Ozero__class_Ozero(T_a),hAPP(V_f,V_x),T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_square__eq__iff_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_a) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_b) % 0.54/0.72 | V_a = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b) % 0.54/0.72 | V_a = V_b ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.54/0.72 | ~ class_Int_Onumber__ring(T_a) % 0.54/0.72 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a) % 0.54/0.72 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__left_Ocont_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | c_Lim_OLIM(c_COMBC(c_HOL_Otimes__class_Otimes(T_a),V_y,T_a,T_a,T_a),V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_y),T_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_isUCont__isCont_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | c_Lim_OisCont(V_f,V_x,T_a,T_b) % 0.54/0.72 | ~ c_Lim_OisUCont(V_f,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR_OLIM__right__zero_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_c),V_f,T_b,T_b,T_a),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) % 0.54/0.72 | ~ c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__right_OLIM__zero_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_r),V_g,T_b,T_b,T_a),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) % 0.54/0.72 | ~ c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__right_Osums_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Series_Osums(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_X,T_a,T_a,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_a),T_a) % 0.54/0.72 | ~ c_Series_Osums(V_X,V_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Re_OisCont_0,axiom, % 0.54/0.72 c_Lim_OisCont(c_Complex_ORe,V_a,tc_Complex_Ocomplex,tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__right_Osummable_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Series_Osummable(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_X,T_a,T_a,tc_nat),T_a) % 0.54/0.72 | ~ c_Series_Osummable(V_X,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__minus__right_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_x)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR_Ominus__right_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_b)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_norm__eq__zero_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.54/0.72 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_of__real__eq__iff_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 0.54/0.72 | hAPP(c_RealVector_Oof__real(T_a),V_x) != hAPP(c_RealVector_Oof__real(T_a),V_y) % 0.54/0.72 | V_x = V_y ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIM__minus_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_b),V_f,T_b,T_b,T_a),V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_b),V_L),T_a,T_b) % 0.54/0.72 | ~ c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_suminf__zero_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Series_Osuminf(c_COMBK(c_HOL_Ozero__class_Ozero(T_a),T_a,tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_bounded__linear_OZseq_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | c_SEQ_OZseq(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),T_b) % 0.54/0.72 | ~ c_SEQ_OZseq(V_X,T_a) % 0.54/0.72 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_isCont__LIM__compose_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_c) % 0.54/0.72 | c_Lim_OLIM(c_COMBB(V_g,V_f,T_a,T_b,T_c),V_a,hAPP(V_g,V_l),T_c,T_b) % 0.54/0.72 | ~ c_Lim_OLIM(V_f,V_a,V_l,T_c,T_a) % 0.54/0.72 | ~ c_Lim_OisCont(V_g,V_l,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIM__of__real_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | ~ class_RealVector_Oreal__algebra__1(T_b) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(T_b),V_g,tc_RealDef_Oreal,T_b,T_a),V_a,hAPP(c_RealVector_Oof__real(T_b),V_l),T_a,T_b) % 0.54/0.72 | ~ c_Lim_OLIM(V_g,V_a,V_l,T_a,tc_RealDef_Oreal) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Re_Osetsum_0,axiom, % 0.54/0.72 hAPP(c_Complex_ORe,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_A,T_a,tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.54/0.72 | ~ class_Int_Onumber__ring(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.54/0.72 | ~ class_Int_Onumber__ring(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_bounded__linear_OLIM_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_c) % 0.54/0.72 | c_Lim_OLIM(c_COMBB(V_f,V_g,T_a,T_b,T_c),V_a,hAPP(V_f,V_l),T_c,T_b) % 0.54/0.72 | ~ c_Lim_OLIM(V_g,V_a,V_l,T_c,T_a) % 0.54/0.72 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Zfun__mult__right_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_b) % 0.54/0.72 | c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_a),V_f,T_b,T_b,T_a),V_net,T_a,T_b) % 0.54/0.72 | ~ c_Limits_OZfun(V_f,V_net,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__right_OZfun_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_b) % 0.54/0.72 | c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x),V_g,T_b,T_b,T_a),V_net,T_a,T_b) % 0.54/0.72 | ~ c_Limits_OZfun(V_g,V_net,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_inverse__inverse__eq_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.54/0.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.54/0.72 | hAPP(c_HOL_Oinverse__class_Oinverse(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)) = V_a ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_differentiable__inverse_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.54/0.72 | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Oinverse__class_Oinverse(T_a),V_f,T_a,T_a,T_a),V_x,T_a) % 0.54/0.72 | hAPP(V_f,V_x) = c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | ~ c_Deriv_Odifferentiable(V_f,V_x,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_bounded__linear_Otendsto_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Limits_Otendsto(c_COMBB(V_f,V_g,T_a,T_b,T_c),hAPP(V_f,V_a),V_net,T_c,T_b) % 0.54/0.72 | ~ c_Limits_Otendsto(V_g,V_a,V_net,T_c,T_a) % 0.54/0.72 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__semiring_Omul__c_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_x) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_double__eq__0__iff_1,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__left_OisCont_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | c_Lim_OisCont(c_COMBC(c_HOL_Otimes__class_Otimes(T_a),V_y,T_a,T_a,T_a),V_a,T_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIM__norm__zero_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a,tc_RealDef_Oreal) % 0.54/0.72 | ~ c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIM__norm__zero__iff_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) % 0.54/0.72 | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a,tc_RealDef_Oreal) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_nat__add__assoc_0,axiom, % 0.54/0.72 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_nat__add__left__commute_0,axiom, % 0.54/0.72 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_add__cancel__21_1,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__conv__of__real_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_x) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_RealVector_Oof__real(T_a),V_r)),V_x) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_neg__0__equal__iff__equal_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.72 | c_HOL_Ozero__class_Ozero(T_a) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) % 0.54/0.72 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_COMBC__def_0,axiom, % 0.54/0.72 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_COMBK__def_0,axiom, % 0.54/0.72 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ). % 0.54/0.72 % 0.54/0.72 cnf(cls_bounded__linear_Osummable_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | c_Series_Osummable(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),T_b) % 0.54/0.72 | ~ c_Series_Osummable(V_X,T_a) % 0.54/0.72 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_tendsto__inverse_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__div__algebra(T_b) % 0.54/0.72 | c_Limits_Otendsto(c_COMBB(c_HOL_Oinverse__class_Oinverse(T_b),V_f,T_b,T_b,T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_b),V_a),V_net,T_a,T_b) % 0.54/0.72 | V_a = c_HOL_Ozero__class_Ozero(T_b) % 0.54/0.72 | ~ c_Limits_Otendsto(V_f,V_a,V_net,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR_Ozero__right_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR_Ozero__left_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),V_b) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__eq__0__iff_2,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__eq__0__iff_1,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_combine__common__factor_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Osemiring(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_convergent__LIMSEQ__iff_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(V_X,c_SEQ_Olim(V_X,T_a),T_a) % 0.54/0.72 | ~ c_SEQ_Oconvergent(V_X,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_convergent__LIMSEQ__iff_1,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_SEQ_Oconvergent(V_X,T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,c_SEQ_Olim(V_X,T_a),T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_eq__neg__iff__add__eq__0_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),V_b) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_ab__left__minus_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_right__minus_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_left__minus_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_bounded__linear_OisCont_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | c_Lim_OisCont(V_f,V_a,T_a,T_b) % 0.54/0.72 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_of__real_Osuminf_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__algebra__1(T_a) % 0.54/0.72 | hAPP(c_RealVector_Oof__real(T_a),c_Series_Osuminf(V_X,tc_RealDef_Oreal)) = c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),T_a) % 0.54/0.72 | ~ c_Series_Osummable(V_X,tc_RealDef_Oreal) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_lim__uminus_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_SEQ_Olim(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_g,T_a,T_a,tc_nat),T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_SEQ_Olim(V_g,T_a)) % 0.54/0.72 | ~ c_SEQ_Oconvergent(V_g,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__right_Osetsum_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),c_Finite__Set_Osetsum(V_g,V_A,T_b,T_a)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_g,T_a,T_a,T_b),V_A,T_b,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Re_Osummable_0,axiom, % 0.54/0.72 ( c_Series_Osummable(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) % 0.54/0.72 | ~ c_Series_Osummable(V_X,tc_Complex_Ocomplex) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIM__norm_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_a,hAPP(c_RealVector_Onorm__class_Onorm(T_b),V_l),T_a,tc_RealDef_Oreal) % 0.54/0.72 | ~ c_Lim_OLIM(V_f,V_a,V_l,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_convergent__minus__iff_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),T_a) % 0.54/0.72 | ~ c_SEQ_Oconvergent(V_X,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_convergent__minus__iff_1,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_SEQ_Oconvergent(V_X,T_a) % 0.54/0.72 | ~ c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIM__inverse__fun_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 0.54/0.72 | c_Lim_OLIM(c_HOL_Oinverse__class_Oinverse(T_a),V_a,hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a),T_a,T_a) % 0.54/0.72 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__right_Oadd_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_x)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_y)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR_Oadd__right_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_b_H)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_b)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_b_H)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_add__cancel__end_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != V_y % 0.54/0.72 | V_x = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_z) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_bounded__linear_OZfun_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Limits_OZfun(c_COMBB(V_f,V_g,T_a,T_b,T_c),V_net,T_c,T_b) % 0.54/0.72 | ~ c_Limits_OZfun(V_g,V_net,T_c,T_a) % 0.54/0.72 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__left_OisUCont_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | c_Lim_OisUCont(c_COMBC(c_HOL_Otimes__class_Otimes(T_a),V_y,T_a,T_a,T_a),T_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Zseq__zero_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_SEQ_OZseq(c_COMBK(c_HOL_Ozero__class_Ozero(T_a),T_a,tc_nat),T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_setsum__negf_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.54/0.72 | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_f,T_a,T_a,T_b),V_A,T_b,T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_add__0__left_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.54/0.72 | ~ class_Int_Onumber__ring(T_a) % 0.54/0.72 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_minus__equation__iff_1,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.72 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = V_b ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_equation__minus__iff_1,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.72 | V_a = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_equation__minus__iff_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.72 | V_b = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_double__compl_0,axiom, % 0.54/0.72 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.54/0.72 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_minus__minus_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.72 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_of__real_Osummable_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__algebra__1(T_a) % 0.54/0.72 | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),T_a) % 0.54/0.72 | ~ c_Series_Osummable(V_X,tc_RealDef_Oreal) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__right_OscaleR_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_x)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),V_x)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__scaleR__left_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__algebra(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_x)),V_y) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__scaleR__right_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__algebra(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_y)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_add__cancel__21_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_isCont__of__real_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__algebra__1(T_b) % 0.54/0.72 | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(T_b),V_f,tc_RealDef_Oreal,T_b,T_a),V_a,T_a,T_b) % 0.54/0.72 | ~ c_Lim_OisCont(V_f,V_a,T_a,tc_RealDef_Oreal) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_bounded__linear_OscaleR_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | hAPP(V_f,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_x)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_r),hAPP(V_f,V_x)) % 0.54/0.72 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_isUCont__Cauchy_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | c_SEQ_OCauchy(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),T_b) % 0.54/0.72 | ~ c_SEQ_OCauchy(V_X,T_a) % 0.54/0.72 | ~ c_Lim_OisUCont(V_f,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIM__offset__zero__cancel_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b) % 0.54/0.72 | ~ c_Lim_OLIM(c_COMBB(V_f,hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),T_a,T_b,T_a),c_HOL_Ozero__class_Ozero(T_a),V_L,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIM__offset__zero_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Lim_OLIM(c_COMBB(V_f,hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),T_a,T_b,T_a),c_HOL_Ozero__class_Ozero(T_a),V_L,T_a,T_b) % 0.54/0.72 | ~ c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIM__isCont__iff_1,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | c_Lim_OLIM(V_f,V_a,hAPP(V_f,V_a),T_a,T_b) % 0.54/0.72 | ~ c_Lim_OLIM(c_COMBB(V_f,hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),T_a,T_b,T_a),c_HOL_Ozero__class_Ozero(T_a),hAPP(V_f,V_a),T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIM__isCont__iff_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | c_Lim_OLIM(c_COMBB(V_f,hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),T_a,T_b,T_a),c_HOL_Ozero__class_Ozero(T_a),hAPP(V_f,V_a),T_a,T_b) % 0.54/0.72 | ~ c_Lim_OLIM(V_f,V_a,hAPP(V_f,V_a),T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_summable__mult_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_f,T_a,T_a,tc_nat),T_a) % 0.54/0.72 | ~ c_Series_Osummable(V_f,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__right_Osummable_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_X,T_a,T_a,tc_nat),T_a) % 0.54/0.72 | ~ c_Series_Osummable(V_X,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__right_Osums_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_X,T_a,T_a,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_a),T_a) % 0.54/0.72 | ~ c_Series_Osums(V_X,V_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_sums__mult_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_f,T_a,T_a,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),T_a) % 0.54/0.72 | ~ c_Series_Osums(V_f,V_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Zfun__zero_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | c_Limits_OZfun(c_COMBK(c_HOL_Ozero__class_Ozero(T_b),T_b,T_a),V_net,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_sums__summable_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Series_Osummable(V_f,T_a) % 0.54/0.72 | ~ c_Series_Osums(V_f,V_l,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_sums__iff_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Series_Osummable(V_f,T_a) % 0.54/0.72 | ~ c_Series_Osums(V_f,V_x,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__right_OisCont_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Lim_OisCont(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_a,T_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_tendsto__norm_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),hAPP(c_RealVector_Onorm__class_Onorm(T_b),V_a),V_net,T_a,tc_RealDef_Oreal) % 0.54/0.72 | ~ c_Limits_Otendsto(V_f,V_a,V_net,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_add__Suc_0,axiom, % 0.54/0.72 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,V_m)),V_n) = hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_add__Suc__right_0,axiom, % 0.54/0.72 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n)) = hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_setsum__0_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.54/0.72 | c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(T_a),T_a,T_b),V_A,T_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_norm__minus__cancel_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)) = hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR_OscaleR__right_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_b)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_b)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__left__commute_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_b),V_x)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_b),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_x)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__right_OscaleR_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_ra),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_x)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_ra),V_x)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_of__real_OZseq_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__algebra__1(T_a) % 0.54/0.72 | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),T_a) % 0.54/0.72 | ~ c_SEQ_OZseq(V_X,tc_RealDef_Oreal) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_tendsto__const_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Otopological__space(T_b) % 0.54/0.72 | c_Limits_Otendsto(c_COMBK(V_k,T_b,T_a),V_k,V_net,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_nat__add__commute_0,axiom, % 0.54/0.72 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_norm__zero_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | hAPP(c_RealVector_Onorm__class_Onorm(T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIM__const_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_Lim_OLIM(c_COMBK(V_k,T_b,T_a),V_x,V_k,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_nat_Oinject_0,axiom, % 0.54/0.72 ( hAPP(c_Suc,V_nat) != hAPP(c_Suc,V_nat_H) % 0.54/0.72 | V_nat = V_nat_H ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Suc__inject_0,axiom, % 0.54/0.72 ( hAPP(c_Suc,V_x) != hAPP(c_Suc,V_y) % 0.54/0.72 | V_x = V_y ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_minus__unique_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_eq__neg__iff__add__eq__0_1,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | V_a = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_of__real_Osetsum_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__algebra__1(T_a) % 0.54/0.72 | hAPP(c_RealVector_Oof__real(T_a),c_Finite__Set_Osetsum(V_g,V_A,T_b,tc_RealDef_Oreal)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(T_a),V_g,tc_RealDef_Oreal,T_a,T_b),V_A,T_b,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.54/0.72 | ~ class_Int_Onumber__ring(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) % 0.54/0.72 | V_c = V_d % 0.54/0.72 | V_a = V_b ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.54/0.72 | ~ class_Int_Onumber__ring(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) % 0.54/0.72 | V_y = V_z % 0.54/0.72 | V_w = V_x ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_nonzero__inverse__minus__eq_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.54/0.72 | hAPP(c_HOL_Oinverse__class_Oinverse(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)) % 0.54/0.72 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__left_Ozero_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult_Ozero__left_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult_Ozero__right_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__right_Ozero_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_class__semiring_Omul__0_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__zero__left_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__zero__right_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__eq__0__iff_1,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__eq__0__iff_2,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_summable__ignore__initial__segment_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Series_Osummable(c_COMBB(V_f,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),V_k,tc_nat,tc_nat,tc_nat),tc_nat,T_a,tc_nat),T_a) % 0.54/0.72 | ~ c_Series_Osummable(V_f,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__right_OLIM_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_r),V_g,T_b,T_b,T_a),V_a,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_r),V_l),T_a,T_b) % 0.54/0.72 | ~ c_Lim_OLIM(V_g,V_a,V_l,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_add__cancel__end_1,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_z)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = V_y ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_minus__add__cancel_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)) = V_b ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Re_Otendsto_0,axiom, % 0.54/0.72 ( c_Limits_Otendsto(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),hAPP(c_Complex_ORe,V_a),V_net,T_a,tc_RealDef_Oreal) % 0.54/0.72 | ~ c_Limits_Otendsto(V_g,V_a,V_net,T_a,tc_Complex_Ocomplex) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_bounded__linear_Osums_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | c_Series_Osums(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),hAPP(V_f,V_a),T_b) % 0.54/0.72 | ~ c_Series_Osums(V_X,V_a,T_a) % 0.54/0.72 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_summable__LIMSEQ__zero_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(V_f,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.54/0.72 | ~ c_Series_Osummable(V_f,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_sums__unique_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | V_s = c_Series_Osuminf(V_f,T_a) % 0.54/0.72 | ~ c_Series_Osums(V_f,V_s,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_sums__iff_1,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Series_Osuminf(V_f,T_a) = V_x % 0.54/0.72 | ~ c_Series_Osums(V_f,V_x,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Re_Osums_0,axiom, % 0.54/0.72 ( c_Series_Osums(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,V_a),tc_RealDef_Oreal) % 0.54/0.72 | ~ c_Series_Osums(V_X,V_a,tc_Complex_Ocomplex) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_neg__0__equal__iff__equal_1,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.72 | c_HOL_Ozero__class_Ozero(T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ozero__class_Ozero(T_a)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_complex__surj_0,axiom, % 0.54/0.72 c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,V_z),hAPP(c_Complex_OIm,V_z)) = V_z ). % 0.54/0.72 % 0.54/0.72 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.54/0.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.54/0.72 | hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_inverse__zero__imp__zero_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.54/0.72 | hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Cauchy__convergent__iff_1,axiom, % 0.54/0.72 ( ~ class_SEQ_Ocomplete__space(T_a) % 0.54/0.72 | c_SEQ_OCauchy(V_X,T_a) % 0.54/0.72 | ~ c_SEQ_Oconvergent(V_X,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Cauchy__convergent__iff_0,axiom, % 0.54/0.72 ( ~ class_SEQ_Ocomplete__space(T_a) % 0.54/0.72 | c_SEQ_Oconvergent(V_X,T_a) % 0.54/0.72 | ~ c_SEQ_OCauchy(V_X,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__right_OisUCont_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Lim_OisUCont(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),T_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_convergent__Cauchy_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_SEQ_OCauchy(V_X,T_a) % 0.54/0.72 | ~ c_SEQ_Oconvergent(V_X,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_real__Cauchy__convergent_0,axiom, % 0.54/0.72 ( c_SEQ_Oconvergent(V_X,tc_RealDef_Oreal) % 0.54/0.72 | ~ c_SEQ_OCauchy(V_X,tc_RealDef_Oreal) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_minus__mult__commute_0,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Oring(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_sums__minus_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) % 0.54/0.72 | ~ c_Series_Osums(V_X,V_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_minus__zero_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.72 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_neg__equal__zero_1,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.54/0.72 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_bounded__linear_Ocont_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | c_Lim_OLIM(V_f,V_a,hAPP(V_f,V_a),T_a,T_b) % 0.54/0.72 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__right_OZseq_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_X,T_a,T_a,tc_nat),T_a) % 0.54/0.72 | ~ c_SEQ_OZseq(V_X,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR_OZseq__right_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_X,T_a,T_a,tc_nat),T_a) % 0.54/0.72 | ~ c_SEQ_OZseq(V_X,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_summable__sums_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_Series_Osums(V_f,c_Series_Osuminf(V_f,T_a),T_a) % 0.54/0.72 | ~ c_Series_Osummable(V_f,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_sums__iff_2,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ c_Series_Osummable(V_f,T_a) % 0.54/0.72 | c_Series_Osums(V_f,c_Series_Osuminf(V_f,T_a),T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_bounded__linear_OCauchy_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | c_SEQ_OCauchy(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),T_b) % 0.54/0.72 | ~ c_SEQ_OCauchy(V_X,T_a) % 0.54/0.72 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_isCont__def_1,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | c_Lim_OisCont(V_f,V_a,T_a,T_b) % 0.54/0.72 | ~ c_Lim_OLIM(V_f,V_a,hAPP(V_f,V_a),T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_isCont__def_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | c_Lim_OLIM(V_f,V_a,hAPP(V_f,V_a),T_a,T_b) % 0.54/0.72 | ~ c_Lim_OisCont(V_f,V_a,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__cancel__left_1,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),V_y) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__cancel__right_1,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__right_Otendsto_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | c_Limits_Otendsto(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_r),V_g,T_b,T_b,T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_r),V_a),V_net,T_a,T_b) % 0.54/0.72 | ~ c_Limits_Otendsto(V_g,V_a,V_net,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__right_OCauchy_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_SEQ_OCauchy(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_X,T_a,T_a,tc_nat),T_a) % 0.54/0.72 | ~ c_SEQ_OCauchy(V_X,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__cancel__left_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_x) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_y) % 0.54/0.72 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.54/0.72 | V_x = V_y ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__cancel__right_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__vector(T_a) % 0.54/0.72 | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_x) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_b),V_x) % 0.54/0.72 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | V_a = V_b ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 0.54/0.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.54/0.72 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Re_OisUCont_0,axiom, % 0.54/0.72 c_Lim_OisUCont(c_Complex_ORe,tc_Complex_Ocomplex,tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Re_0,axiom, % 0.54/0.72 hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_x ). % 0.54/0.72 % 0.54/0.72 cnf(cls_of__real_Osums_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__algebra__1(T_a) % 0.54/0.72 | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),hAPP(c_RealVector_Oof__real(T_a),V_a),T_a) % 0.54/0.72 | ~ c_Series_Osums(V_X,V_a,tc_RealDef_Oreal) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_bounded__linear_Osuminf_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | hAPP(V_f,c_Series_Osuminf(V_X,T_a)) = c_Series_Osuminf(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),T_b) % 0.54/0.72 | ~ c_Series_Osummable(V_X,T_a) % 0.54/0.72 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_isCont__norm_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_a,T_a,tc_RealDef_Oreal) % 0.54/0.72 | ~ c_Lim_OisCont(V_f,V_a,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR_Obounded__linear__right_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_RealVector_Obounded__linear(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),T_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_minus__add_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.54/0.72 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_minus__add__distrib_0,axiom, % 0.54/0.72 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.54/0.72 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Im_Ocont_0,axiom, % 0.54/0.72 c_Lim_OLIM(c_Complex_OIm,V_a,hAPP(c_Complex_OIm,V_a),tc_Complex_Ocomplex,tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Im_OisUCont_0,axiom, % 0.54/0.72 c_Lim_OisUCont(c_Complex_OIm,tc_Complex_Ocomplex,tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Im_OLIMSEQ_0,axiom, % 0.54/0.72 ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,V_a),tc_RealDef_Oreal) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,V_a,tc_Complex_Ocomplex) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_image__image_0,axiom, % 0.54/0.72 c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__minus_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,V_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__minus__cancel_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(V_X,V_a,T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_that_0,axiom, % 0.54/0.72 ( v_thesis____ % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),V_y,tc_RealDef_Oreal) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_convergentI_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_SEQ_Oconvergent(V_X,T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,V_L,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_convergent__def_1,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_SEQ_Oconvergent(V_X,T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,V_x,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_complex__equality_0,axiom, % 0.54/0.72 ( hAPP(c_Complex_OIm,V_x) != hAPP(c_Complex_OIm,V_y) % 0.54/0.72 | hAPP(c_Complex_ORe,V_x) != hAPP(c_Complex_ORe,V_y) % 0.54/0.72 | V_x = V_y ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_conv1_0,axiom, % 0.54/0.72 c_SEQ_Oconvergent(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_f____,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__const__iff_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | V_k = V_l % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(c_COMBK(V_k,T_a,tc_nat),V_l,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIM__compose_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_c) % 0.54/0.72 | c_Lim_OLIM(c_COMBB(V_g,V_f,T_a,T_b,T_c),V_a,hAPP(V_g,V_l),T_c,T_b) % 0.54/0.72 | ~ c_Lim_OLIM(V_f,V_a,V_l,T_c,T_a) % 0.54/0.72 | ~ c_Lim_OLIM(V_g,V_l,hAPP(V_g,V_l),T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__norm__zero_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(V_X,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_X,T_a,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__norm__zero_1,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_X,T_a,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_g_I1_J_0,axiom, % 0.54/0.72 c_SEQ_Osubseq(v_ga____) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__norm_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_X,T_a,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a),tc_RealDef_Oreal) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,V_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Im_0,axiom, % 0.54/0.72 hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_y ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__ignore__initial__segment_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(c_COMBB(V_f,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),V_k,tc_nat,tc_nat,tc_nat),tc_nat,T_a,tc_nat),V_a,T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_f,V_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__offset_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(V_f,V_a,T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(c_COMBB(V_f,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),V_k,tc_nat,tc_nat,tc_nat),tc_nat,T_a,tc_nat),V_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_limI_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_SEQ_Olim(V_X,T_a) = V_L % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,V_L,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Im_Otendsto_0,axiom, % 0.54/0.72 ( c_Limits_Otendsto(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),hAPP(c_Complex_OIm,V_a),V_net,T_a,tc_RealDef_Oreal) % 0.54/0.72 | ~ c_Limits_Otendsto(V_g,V_a,V_net,T_a,tc_Complex_Ocomplex) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_g_I2_J_0,axiom, % 0.54/0.72 c_SEQ_Omonoseq(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Im_OZseq_0,axiom, % 0.54/0.72 ( c_SEQ_OZseq(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) % 0.54/0.72 | ~ c_SEQ_OZseq(V_X,tc_Complex_Ocomplex) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__const_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(c_COMBK(V_k,T_a,tc_nat),V_k,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__const__iff_1,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(c_COMBK(V_x,T_a,tc_nat),V_x,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_bounded__linear_OLIMSEQ_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__normed__vector(T_b) % 0.54/0.72 | c_SEQ_OLIMSEQ(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),hAPP(V_f,V_a),T_b) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,V_a,T_a) % 0.54/0.72 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__SEQ__conv1_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(c_COMBB(V_X,V_S,T_a,T_b,tc_nat),V_L,T_b) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_S,V_a,T_a) % 0.54/0.72 | hAPP(V_S,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(V_S,V_a,T_a)) = V_a % 0.54/0.72 | ~ c_Lim_OLIM(V_X,V_a,V_L,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Im_Osetsum_0,axiom, % 0.54/0.72 hAPP(c_Complex_OIm,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_A,T_a,tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_of__real_OLIMSEQ_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | ~ class_RealVector_Oreal__algebra__1(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),hAPP(c_RealVector_Oof__real(T_a),V_a),T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,V_a,tc_RealDef_Oreal) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Re_OLIMSEQ_0,axiom, % 0.54/0.72 ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,V_a),tc_RealDef_Oreal) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,V_a,tc_Complex_Ocomplex) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Im_OCauchy_0,axiom, % 0.54/0.72 ( c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) % 0.54/0.72 | ~ c_SEQ_OCauchy(V_X,tc_Complex_Ocomplex) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Im_Osums_0,axiom, % 0.54/0.72 ( c_Series_Osums(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,V_a),tc_RealDef_Oreal) % 0.54/0.72 | ~ c_Series_Osums(V_X,V_a,tc_Complex_Ocomplex) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Im_OZfun_0,axiom, % 0.54/0.72 ( c_Limits_OZfun(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_net,T_a,tc_RealDef_Oreal) % 0.54/0.72 | ~ c_Limits_OZfun(V_g,V_net,T_a,tc_Complex_Ocomplex) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_isCont__o2_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_c) % 0.54/0.72 | ~ class_RealVector_Ometric__space(T_b) % 0.54/0.72 | c_Lim_OisCont(c_COMBB(V_g,V_f,T_b,T_c,T_a),V_a,T_a,T_c) % 0.54/0.72 | ~ c_Lim_OisCont(V_g,hAPP(V_f,V_a),T_b,T_c) % 0.54/0.72 | ~ c_Lim_OisCont(V_f,V_a,T_a,T_b) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__unique_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | V_a = V_b % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,V_b,T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,V_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_conv2_0,axiom, % 0.54/0.72 c_SEQ_Oconvergent(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_mult__right_OLIMSEQ_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_X,T_a,T_a,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_a),T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,V_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_differentiable__compose_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.54/0.72 | c_Deriv_Odifferentiable(c_COMBB(V_f,V_g,T_a,T_a,T_a),V_x,T_a) % 0.54/0.72 | ~ c_Deriv_Odifferentiable(V_g,V_x,T_a) % 0.54/0.72 | ~ c_Deriv_Odifferentiable(V_f,hAPP(V_g,V_x),T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_f_I1_J_0,axiom, % 0.54/0.72 c_SEQ_Osubseq(v_f____) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_scaleR__right_OLIMSEQ_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_X,T_a,T_a,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_a),T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,V_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Im_OisCont_0,axiom, % 0.54/0.72 c_Lim_OisCont(c_Complex_OIm,V_a,tc_Complex_Ocomplex,tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__imp__Cauchy_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_SEQ_OCauchy(V_X,T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,V_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__Suc_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(c_COMBB(V_f,c_Suc,tc_nat,T_a,tc_nat),V_l,T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_f,V_l,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__Suc__iff_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(V_f,V_l,T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(c_COMBB(V_f,c_Suc,tc_nat,T_a,tc_nat),V_l,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_COMBB__def_0,axiom, % 0.54/0.72 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_f_I2_J_0,axiom, % 0.54/0.72 c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_f____,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_LIMSEQ__inverse_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 0.54/0.72 | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(T_a),V_X,T_a,T_a,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a),T_a) % 0.54/0.72 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(V_X,V_a,T_a) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Im_OLIM_0,axiom, % 0.54/0.72 ( ~ class_RealVector_Ometric__space(T_a) % 0.54/0.72 | c_Lim_OLIM(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_a,hAPP(c_Complex_OIm,V_l),T_a,tc_RealDef_Oreal) % 0.54/0.72 | ~ c_Lim_OLIM(V_g,V_a,V_l,T_a,tc_Complex_Ocomplex) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Im_Osuminf_0,axiom, % 0.54/0.72 ( hAPP(c_Complex_OIm,c_Series_Osuminf(V_X,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) % 0.54/0.72 | ~ c_Series_Osummable(V_X,tc_Complex_Ocomplex) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_Im_Osummable_0,axiom, % 0.54/0.72 ( c_Series_Osummable(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) % 0.54/0.72 | ~ c_Series_Osummable(V_X,tc_Complex_Ocomplex) ) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_CHAINED_0,axiom, % 0.54/0.72 c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_conjecture_0,negated_conjecture, % 0.54/0.72 ~ v_thesis____ ). % 0.54/0.72 % 0.54/0.72 cnf(cls_conjecture_1,negated_conjecture, % 0.54/0.72 ( v_thesis____ % 0.54/0.72 | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),V_x,tc_RealDef_Oreal) ) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom, % 0.54/0.72 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) % 0.54/0.72 | ~ class_Lattices_Oboolean__algebra(T_1) ) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.54/0.72 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.54/0.72 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 0.54/0.72 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.54/0.72 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom, % 0.54/0.72 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.54/0.72 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom, % 0.54/0.72 class_Ring__and__Field_Ocomm__semiring(tc_nat) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.54/0.72 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom, % 0.54/0.72 class_Ring__and__Field_Osemiring__0(tc_nat) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 0.54/0.72 class_Ring__and__Field_Omult__zero(tc_nat) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom, % 0.54/0.72 class_Ring__and__Field_Osemiring(tc_nat) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.54/0.72 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_nat__HOL_Ozero,axiom, % 0.54/0.72 class_HOL_Ozero(tc_nat) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom, % 0.54/0.72 class_Lattices_Oboolean__algebra(tc_bool) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.54/0.72 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.54/0.72 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom, % 0.54/0.72 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom, % 0.54/0.72 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom, % 0.54/0.72 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom, % 0.54/0.72 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.54/0.72 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom, % 0.54/0.72 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom, % 0.54/0.72 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom, % 0.54/0.72 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.54/0.72 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom, % 0.54/0.72 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom, % 0.54/0.72 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom, % 0.54/0.72 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom, % 0.54/0.72 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring,axiom, % 0.54/0.72 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom, % 0.54/0.72 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__RealVector_Otopological__space,axiom, % 0.54/0.72 class_RealVector_Otopological__space(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom, % 0.54/0.72 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom, % 0.54/0.72 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__0,axiom, % 0.54/0.72 class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1,axiom, % 0.54/0.72 class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom, % 0.54/0.72 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom, % 0.54/0.72 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom, % 0.54/0.72 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra,axiom, % 0.54/0.72 class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__RealVector_Ometric__space,axiom, % 0.54/0.72 class_RealVector_Ometric__space(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom, % 0.54/0.72 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__vector,axiom, % 0.54/0.72 class_RealVector_Oreal__vector(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom, % 0.54/0.72 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom, % 0.54/0.72 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom, % 0.54/0.72 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom, % 0.54/0.72 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__SEQ_Ocomplete__space,axiom, % 0.54/0.72 class_SEQ_Ocomplete__space(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom, % 0.54/0.72 class_Int_Onumber__ring(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__SEQ_Obanach,axiom, % 0.54/0.72 class_SEQ_Obanach(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_RealDef__Oreal__HOL_Ozero,axiom, % 0.54/0.72 class_HOL_Ozero(tc_RealDef_Oreal) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.54/0.72 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.54/0.72 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom, % 0.54/0.72 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.54/0.72 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom, % 0.54/0.72 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom, % 0.54/0.72 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom, % 0.54/0.72 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.54/0.72 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom, % 0.54/0.72 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom, % 0.54/0.72 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom, % 0.54/0.72 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom, % 0.54/0.72 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom, % 0.54/0.72 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom, % 0.54/0.72 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__RealVector_Otopological__space,axiom, % 0.54/0.72 class_RealVector_Otopological__space(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom, % 0.54/0.72 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom, % 0.54/0.72 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0,axiom, % 0.54/0.72 class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1,axiom, % 0.54/0.72 class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom, % 0.54/0.72 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom, % 0.54/0.72 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom, % 0.54/0.72 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra,axiom, % 0.54/0.72 class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__RealVector_Ometric__space,axiom, % 0.54/0.72 class_RealVector_Ometric__space(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom, % 0.54/0.72 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__vector,axiom, % 0.54/0.72 class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom, % 0.54/0.72 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom, % 0.54/0.72 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom, % 0.54/0.72 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom, % 0.54/0.72 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__SEQ_Ocomplete__space,axiom, % 0.54/0.72 class_SEQ_Ocomplete__space(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom, % 0.54/0.72 class_Int_Onumber__ring(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__SEQ_Obanach,axiom, % 0.54/0.72 class_SEQ_Obanach(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom, % 0.54/0.72 class_HOL_Ozero(tc_Complex_Ocomplex) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom, % 0.54/0.72 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom, % 0.54/0.72 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 0.54/0.72 c_fequal(V_x,V_x,T_a) ). % 0.54/0.72 % 0.54/0.72 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 0.54/0.72 ( V_X = V_Y % 0.54/0.72 | ~ c_fequal(V_X,V_Y,T_a) ) ). % 0.54/0.72 % 0.54/0.72 %------------------------------------------------------------------------------ % 0.54/0.72 %------------------------------------------- % 0.54/0.72 % Proof found % 0.54/0.72 % SZS status Theorem for theBenchmark % 0.54/0.72 % SZS output start Proof % 0.71/0.73 %ClaNum:611(EqnAxiom:134) % 0.71/0.73 %VarNum:3093(SingletonVarNum:1042) % 0.71/0.73 %MaxLitNum:6 % 0.71/0.73 %MaxfuncDepth:7 % 0.71/0.73 %SharedTerms:115 % 0.71/0.73 %goalClause: 251 611 % 0.71/0.73 %singleGoalClaCount:1 % 0.71/0.73 [135]P1(a1) % 0.71/0.73 [136]P1(a2) % 0.71/0.73 [137]P2(a1) % 0.71/0.73 [138]P2(a2) % 0.71/0.73 [139]P35(a1) % 0.71/0.73 [140]P35(a24) % 0.71/0.73 [141]P35(a2) % 0.71/0.73 [142]P36(a1) % 0.71/0.73 [143]P36(a2) % 0.71/0.73 [144]P37(a1) % 0.71/0.73 [145]P37(a2) % 0.71/0.73 [146]P3(a1) % 0.71/0.73 [147]P3(a2) % 0.71/0.73 [148]P33(a1) % 0.71/0.73 [149]P33(a2) % 0.71/0.73 [150]P41(a1) % 0.71/0.73 [151]P41(a24) % 0.71/0.73 [152]P41(a2) % 0.71/0.73 [153]P54(a1) % 0.71/0.73 [154]P54(a2) % 0.71/0.73 [155]P38(a1) % 0.71/0.73 [156]P38(a2) % 0.71/0.73 [157]P40(a1) % 0.71/0.73 [158]P40(a2) % 0.71/0.73 [159]P4(a25) % 0.71/0.73 [160]P39(a1) % 0.71/0.73 [161]P39(a2) % 0.71/0.73 [162]P44(a1) % 0.71/0.73 [163]P44(a2) % 0.71/0.73 [164]P45(a1) % 0.71/0.73 [165]P45(a2) % 0.71/0.73 [166]P5(a1) % 0.71/0.73 [167]P5(a2) % 0.71/0.73 [168]P49(a1) % 0.71/0.73 [169]P46(a1) % 0.71/0.73 [170]P46(a2) % 0.71/0.73 [171]P47(a1) % 0.71/0.73 [172]P47(a2) % 0.71/0.73 [173]P23(a1) % 0.71/0.73 [174]P23(a24) % 0.71/0.73 [175]P23(a2) % 0.71/0.73 [176]P42(a1) % 0.71/0.73 [177]P42(a24) % 0.71/0.73 [178]P42(a2) % 0.71/0.73 [179]P6(a1) % 0.71/0.73 [180]P6(a24) % 0.71/0.73 [181]P6(a2) % 0.71/0.73 [182]P30(a1) % 0.71/0.73 [183]P48(a1) % 0.71/0.73 [184]P48(a2) % 0.71/0.73 [185]P27(a1) % 0.71/0.73 [186]P27(a24) % 0.71/0.73 [187]P27(a2) % 0.71/0.73 [188]P28(a1) % 0.71/0.73 [189]P28(a24) % 0.71/0.73 [190]P28(a2) % 0.71/0.73 [191]P52(a1) % 0.71/0.73 [192]P52(a2) % 0.71/0.73 [193]P50(a1) % 0.71/0.73 [194]P50(a24) % 0.71/0.73 [195]P50(a2) % 0.71/0.73 [196]P31(a1) % 0.71/0.73 [197]P29(a1) % 0.71/0.73 [198]P29(a24) % 0.71/0.73 [199]P29(a2) % 0.71/0.73 [200]P24(a1) % 0.71/0.73 [201]P24(a2) % 0.71/0.73 [202]P25(a1) % 0.71/0.73 [203]P25(a24) % 0.71/0.73 [204]P25(a2) % 0.71/0.73 [205]P53(a1) % 0.71/0.73 [206]P53(a24) % 0.71/0.73 [207]P53(a2) % 0.71/0.73 [208]P32(a1) % 0.71/0.73 [209]P32(a24) % 0.71/0.73 [210]P32(a2) % 0.71/0.73 [211]P34(a1) % 0.71/0.73 [212]P34(a2) % 0.71/0.73 [213]P43(a1) % 0.71/0.73 [214]P43(a2) % 0.71/0.73 [215]P51(a1) % 0.71/0.73 [216]P51(a24) % 0.71/0.73 [217]P51(a2) % 0.71/0.73 [218]P55(a1) % 0.71/0.73 [219]P55(a2) % 0.71/0.73 [220]P7(a27) % 0.71/0.73 [221]P7(a28) % 0.71/0.73 [224]P8(a3,a2,a1) % 0.71/0.73 [225]P8(a4,a2,a1) % 0.71/0.73 [251]~P56(a5000) % 0.71/0.73 [246]P12(f6(a3,f6(a29,a27,a24,a2,a24),a2,a1,a24)) % 0.71/0.73 [247]P13(f6(a3,f6(a29,a27,a24,a2,a24),a2,a1,a24),a1) % 0.71/0.73 [248]P12(f6(a4,f6(a29,f6(a27,a28,a24,a24,a24),a24,a2,a24),a2,a1,a24)) % 0.71/0.73 [249]P13(f6(a4,f6(a29,f6(a27,a28,a24,a24,a24),a24,a2,a24),a2,a1,a24),a1) % 0.71/0.73 [250]P14(f6(a4,f6(a29,f6(a27,a28,a24,a24,a24),a24,a2,a24),a2,a1,a24),f30(a27,a28,a29),a1) % 0.71/0.73 [233]P9(a3,x2331,a2,a1) % 0.71/0.73 [234]P9(a4,x2341,a2,a1) % 0.71/0.73 [237]P10(a3,x2371,f9(a3,x2371),a2,a1) % 0.71/0.73 [238]P10(a4,x2381,f9(a4,x2381),a2,a1) % 0.71/0.73 [253]~E(f9(a13,x2531),x2531) % 0.71/0.73 [227]E(f8(f9(a3,x2271),f9(a4,x2271)),x2271) % 0.71/0.73 [226]P20(x2261,x2261,x2262) % 0.71/0.73 [222]E(f9(a3,f8(x2221,x2222)),x2221) % 0.71/0.73 [223]E(f9(a4,f8(x2231,x2232)),x2232) % 0.71/0.73 [228]E(f9(f9(f10(a24),x2281),x2282),f9(f9(f10(a24),x2282),x2281)) % 0.71/0.73 [230]E(f9(f9(f10(a24),f9(a13,x2301)),x2302),f9(f9(f10(a24),x2301),f9(a13,x2302))) % 0.71/0.73 [231]E(f9(f9(f10(a24),x2311),f9(a13,x2312)),f9(a13,f9(f9(f10(a24),x2311),x2312))) % 0.71/0.73 [232]E(f9(f9(f10(a24),f9(a13,x2321)),x2322),f9(a13,f9(f9(f10(a24),x2321),x2322))) % 0.71/0.73 [243]E(f11(f6(a3,x2431,a2,a1,x2432),x2433,x2432,a1),f9(a3,f11(x2431,x2433,x2432,a2))) % 0.71/0.73 [244]E(f11(f6(a4,x2441,a2,a1,x2442),x2443,x2442,a1),f9(a4,f11(x2441,x2443,x2442,a2))) % 0.71/0.73 [235]E(f9(f9(f10(a24),x2351),f9(f9(f10(a24),x2352),x2353)),f9(f9(f10(a24),x2352),f9(f9(f10(a24),x2351),x2353))) % 0.71/0.73 [236]E(f9(f9(f10(a24),f9(f9(f10(a24),x2361),x2362)),x2363),f9(f9(f10(a24),x2361),f9(f9(f10(a24),x2362),x2363))) % 0.71/0.73 [229]E(f9(f5(x2291,x2292,x2293),x2294),x2291) % 0.71/0.73 [240]E(f9(f6(x2401,x2402,x2403,x2404,x2405),x2406),f9(x2401,f9(x2402,x2406))) % 0.71/0.73 [242]E(f9(f7(x2421,x2422,x2423,x2424,x2425),x2426),f9(f9(x2421,x2426),x2422)) % 0.71/0.73 [245]E(f14(x2451,f14(x2452,x2453,x2454,x2455),x2455,x2456),f14(f6(x2451,x2452,x2455,x2456,x2454),x2453,x2454,x2456)) % 0.71/0.73 [254]~P15(x2541,a1)+P13(x2541,a1) % 0.71/0.73 [467]~P15(x4671,a2)+P15(f6(a3,x4671,a2,a1,a24),a1) % 0.71/0.73 [468]~P15(x4681,a2)+P15(f6(a4,x4681,a2,a1,a24),a1) % 0.71/0.73 [469]~P19(x4691,a2)+P19(f6(a3,x4691,a2,a1,a24),a1) % 0.71/0.73 [470]~P19(x4701,a2)+P19(f6(a4,x4701,a2,a1,a24),a1) % 0.71/0.73 [471]~P21(x4711,a2)+P21(f6(a3,x4711,a2,a1,a24),a1) % 0.71/0.73 [472]~P21(x4721,a2)+P21(f6(a4,x4721,a2,a1,a24),a1) % 0.71/0.73 [255]~P33(x2551)+E(f9(f15(x2551),f16(a1)),f16(x2551)) % 0.71/0.73 [256]~P37(x2561)+E(f9(f19(x2561),f16(x2561)),f16(a1)) % 0.71/0.73 [259]~P3(x2591)+E(f9(f17(x2591),f16(x2591)),f16(x2591)) % 0.71/0.73 [260]~P30(x2601)+E(f9(f17(x2601),f16(x2601)),f16(x2601)) % 0.71/0.73 [261]~P47(x2611)+E(f9(f12(x2611),f16(x2611)),f16(x2611)) % 0.71/0.73 [314]~P31(x3141)+E(f9(f9(f10(x3141),f16(x3141)),f16(x3141)),f16(x3141)) % 0.71/0.73 [352]~P37(x3521)+P19(f5(f16(x3521),x3521,a24),x3521) % 0.71/0.73 [353]~P37(x3531)+P21(f5(f16(x3531),x3531,a24),x3531) % 0.71/0.73 [373]~P37(x3731)+P22(f5(f16(x3731),x3731,a24),f16(x3731),x3731) % 0.71/0.73 [480]~P21(x4801,a2)+E(f22(f6(a3,x4801,a2,a1,a24),a1),f9(a3,f22(x4801,a2))) % 0.71/0.73 [481]~P21(x4811,a2)+E(f22(f6(a4,x4811,a2,a1,a24),a1),f9(a4,f22(x4811,a2))) % 0.71/0.73 [357]~P37(x3571)+E(f22(f5(f16(x3571),x3571,a24),x3571),f16(x3571)) % 0.71/0.73 [429]~P49(x4291)+E(f9(f9(f10(x4291),f9(f9(f18(x4291),f16(x4291)),f16(x4291))),f9(f9(f18(x4291),f16(x4291)),f16(x4291))),f16(x4291)) % 0.71/0.73 [611]P56(a5000)+~P14(f6(a4,f6(a29,f6(a27,a28,a24,a24,a24),a24,a2,a24),a2,a1,a24),x6111,a1) % 0.71/0.73 [257]~P4(x2572)+P4(f26(x2571,x2572)) % 0.71/0.73 [263]E(x2631,x2632)+~E(f9(a13,x2631),f9(a13,x2632)) % 0.71/0.73 [364]~P2(x3642)+P14(f5(x3641,x3642,a24),x3641,x3642) % 0.71/0.73 [501]~P22(x5011,x5012,a2)+P22(f6(a3,x5011,a2,a1,a24),f9(a3,x5012),a1) % 0.71/0.73 [502]~P22(x5021,x5022,a2)+P22(f6(a4,x5021,a2,a1,a24),f9(a4,x5022),a1) % 0.71/0.73 [503]~P14(x5031,x5032,a2)+P14(f6(a3,x5031,a2,a1,a24),f9(a3,x5032),a1) % 0.71/0.73 [504]~P14(x5041,x5042,a2)+P14(f6(a4,x5041,a2,a1,a24),f9(a4,x5042),a1) % 0.71/0.73 [284]~P41(x2841)+E(f9(f9(f10(x2841),x2842),f16(x2841)),x2842) % 0.71/0.73 [285]~P29(x2851)+E(f9(f9(f10(x2851),x2852),f16(x2851)),x2852) % 0.71/0.73 [286]~P32(x2861)+E(f9(f9(f10(x2861),x2862),f16(x2861)),x2862) % 0.71/0.73 [288]~P1(x2881)+E(f9(f9(f18(x2881),x2882),f16(x2881)),f16(x2881)) % 0.71/0.73 [289]~P41(x2891)+E(f9(f9(f18(x2891),x2892),f16(x2891)),f16(x2891)) % 0.71/0.73 [290]~P52(x2901)+E(f9(f9(f18(x2901),x2902),f16(x2901)),f16(x2901)) % 0.71/0.73 [291]~P51(x2911)+E(f9(f9(f18(x2911),x2912),f16(x2911)),f16(x2911)) % 0.71/0.73 [292]~P36(x2921)+E(f9(f9(f21(x2921),x2922),f16(x2921)),f16(x2921)) % 0.71/0.73 [293]~P37(x2931)+E(f9(f9(f21(x2931),x2932),f16(x2931)),f16(x2931)) % 0.71/0.73 [319]~P1(x3191)+P8(f9(f18(x3191),x3192),x3191,x3191) % 0.71/0.73 [320]~P37(x3201)+P8(f9(f21(x3201),x3202),x3201,x3201) % 0.71/0.73 [321]~P1(x3211)+P16(f9(f18(x3211),x3212),x3211,x3211) % 0.71/0.73 [322]~P37(x3221)+P16(f9(f21(x3221),x3222),x3221,x3221) % 0.71/0.73 [482]~P1(x4821)+P8(f7(f18(x4821),x4822,x4821,x4821,x4821),x4821,x4821) % 0.71/0.73 [483]~P1(x4831)+P16(f7(f18(x4831),x4832,x4831,x4831,x4831),x4831,x4831) % 0.71/0.73 [278]~P26(x2781)+E(f9(f9(f18(x2781),x2782),x2782),x2782) % 0.71/0.73 [282]~P3(x2821)+E(f9(f17(x2821),f9(f17(x2821),x2822)),x2822) % 0.71/0.73 [283]~P4(x2831)+E(f9(f17(x2831),f9(f17(x2831),x2832)),x2832) % 0.71/0.73 [294]~P36(x2941)+E(f9(f9(f21(x2941),f16(a1)),x2942),f16(x2941)) % 0.71/0.73 [295]~P37(x2951)+E(f9(f9(f21(x2951),f16(a1)),x2952),f16(x2951)) % 0.71/0.73 [298]~P41(x2981)+E(f9(f9(f10(x2981),f16(x2981)),x2982),x2982) % 0.71/0.73 [299]~P29(x2991)+E(f9(f9(f10(x2991),f16(x2991)),x2992),x2992) % 0.71/0.73 [300]~P32(x3001)+E(f9(f9(f10(x3001),f16(x3001)),x3002),x3002) % 0.71/0.73 [307]~P1(x3071)+E(f9(f9(f18(x3071),f16(x3071)),x3072),f16(x3071)) % 0.71/0.73 [309]~P41(x3091)+E(f9(f9(f18(x3091),f16(x3091)),x3092),f16(x3091)) % 0.71/0.73 [310]~P52(x3101)+E(f9(f9(f18(x3101),f16(x3101)),x3102),f16(x3101)) % 0.71/0.73 [311]~P51(x3111)+E(f9(f9(f18(x3111),f16(x3111)),x3112),f16(x3111)) % 0.71/0.73 [316]~P37(x3161)+E(f9(f19(x3161),f9(f17(x3161),x3162)),f9(f19(x3161),x3162)) % 0.71/0.73 [324]~P3(x3241)+E(f9(f9(f10(x3241),x3242),f9(f17(x3241),x3242)),f16(x3241)) % 0.71/0.73 [385]~P45(x3851)+E(f9(f9(f18(x3851),f9(f17(x3851),x3852)),f9(f17(x3851),x3852)),f9(f9(f18(x3851),x3852),x3852)) % 0.71/0.73 [355]~P3(x3551)+E(f9(f9(f10(x3551),f9(f17(x3551),x3552)),x3552),f16(x3551)) % 0.71/0.73 [356]~P24(x3561)+E(f9(f9(f10(x3561),f9(f17(x3561),x3562)),x3562),f16(x3561)) % 0.71/0.73 [317]E(x3171,x3172)+~P20(x3171,x3172,x3173) % 0.71/0.73 [365]~P40(x3652)+P11(f5(x3651,x3652,x3652),x3653,x3652) % 0.71/0.73 [527]~P17(x5271,x5273,x5272,a2)+P17(f6(a3,x5271,a2,a1,x5272),x5273,x5272,a1) % 0.71/0.73 [528]~P17(x5281,x5283,x5282,a2)+P17(f6(a4,x5281,a2,a1,x5282),x5283,x5282,a1) % 0.71/0.73 [348]~P36(x3481)+E(f9(f9(f21(x3481),x3482),f16(x3481)),f9(f9(f21(x3481),x3483),f16(x3481))) % 0.71/0.73 [393]~P1(x3931)+P9(f9(f18(x3931),x3932),x3933,x3931,x3931) % 0.71/0.73 [394]~P37(x3941)+P9(f9(f21(x3941),x3942),x3943,x3941,x3941) % 0.71/0.73 [414]~P37(x4141)+P17(f5(f16(x4141),x4141,x4142),x4143,x4142,x4141) % 0.71/0.73 [520]~P1(x5201)+P9(f7(f18(x5201),x5202,x5201,x5201,x5201),x5203,x5201,x5201) % 0.71/0.73 [342]~P41(x3421)+E(f9(f9(f18(x3421),x3422),x3423),f9(f9(f18(x3421),x3423),x3422)) % 0.71/0.73 [344]~P41(x3441)+E(f9(f9(f10(x3441),x3442),x3443),f9(f9(f10(x3441),x3443),x3442)) % 0.71/0.73 [345]~P29(x3451)+E(f9(f9(f10(x3451),x3452),x3453),f9(f9(f10(x3451),x3453),x3452)) % 0.71/0.73 [349]~P36(x3491)+E(f9(f9(f21(x3491),f16(a1)),x3492),f9(f9(f21(x3491),f16(a1)),x3493)) % 0.71/0.73 [359]E(x3591,x3592)+~E(f9(f9(f10(a24),x3593),x3591),f9(f9(f10(a24),x3593),x3592)) % 0.71/0.73 [360]E(x3601,x3602)+~E(f9(f9(f10(a24),x3601),x3603),f9(f9(f10(a24),x3602),x3603)) % 0.71/0.73 [384]~P44(x3841)+E(f9(f9(f18(x3841),f9(f17(x3841),x3842)),f9(f17(x3841),x3843)),f9(f9(f18(x3841),x3842),x3843)) % 0.71/0.73 [415]~P29(x4151)+E(f11(f5(f16(x4151),x4151,x4152),x4153,x4152,x4151),f16(x4151)) % 0.71/0.73 [458]~P1(x4581)+P10(f9(f18(x4581),x4582),x4583,f9(f9(f18(x4581),x4582),x4583),x4581,x4581) % 0.71/0.73 [459]~P37(x4591)+P10(f9(f21(x4591),x4592),x4593,f9(f9(f21(x4591),x4592),x4593),x4591,x4591) % 0.71/0.73 [547]~P1(x5471)+P10(f7(f18(x5471),x5472,x5471,x5471,x5471),x5473,f9(f9(f18(x5471),x5473),x5472),x5471,x5471) % 0.71/0.73 [374]~P33(x3741)+E(f9(f9(f18(x3741),f9(f15(x3741),x3742)),x3743),f9(f9(f21(x3741),x3742),x3743)) % 0.71/0.73 [377]~P26(x3771)+E(f9(f9(f18(x3771),x3772),f9(f9(f18(x3771),x3772),x3773)),f9(f9(f18(x3771),x3772),x3773)) % 0.71/0.73 [378]~P44(x3781)+E(f9(f9(f18(x3781),x3782),f9(f17(x3781),x3783)),f9(f17(x3781),f9(f9(f18(x3781),x3782),x3783))) % 0.71/0.73 [380]~P1(x3801)+E(f9(f9(f18(x3801),x3802),f9(f17(x3801),x3803)),f9(f17(x3801),f9(f9(f18(x3801),x3802),x3803))) % 0.71/0.73 [381]~P36(x3811)+E(f9(f9(f21(x3811),x3812),f9(f17(x3811),x3813)),f9(f17(x3811),f9(f9(f21(x3811),x3812),x3813))) % 0.71/0.73 [382]~P37(x3821)+E(f9(f9(f21(x3821),x3822),f9(f17(x3821),x3823)),f9(f17(x3821),f9(f9(f21(x3821),x3822),x3823))) % 0.71/0.73 [383]~P44(x3831)+E(f9(f9(f18(x3831),f9(f17(x3831),x3832)),x3833),f9(f9(f18(x3831),x3832),f9(f17(x3831),x3833))) % 0.71/0.73 [386]~P24(x3861)+E(f9(f9(f10(x3861),f9(f17(x3861),x3862)),f9(f9(f10(x3861),x3863),x3862)),x3863) % 0.71/0.73 [387]~P3(x3871)+E(f9(f9(f10(x3871),f9(f17(x3871),x3872)),f9(f9(f10(x3871),x3872),x3873)),x3873) % 0.71/0.73 [388]~P44(x3881)+E(f9(f9(f18(x3881),f9(f17(x3881),x3882)),x3883),f9(f17(x3881),f9(f9(f18(x3881),x3882),x3883))) % 0.71/0.73 [390]~P1(x3901)+E(f9(f9(f18(x3901),f9(f17(x3901),x3902)),x3903),f9(f17(x3901),f9(f9(f18(x3901),x3902),x3903))) % 0.71/0.73 [396]~P3(x3961)+E(f9(f9(f10(x3961),f9(f17(x3961),x3962)),f9(f17(x3961),x3963)),f9(f17(x3961),f9(f9(f10(x3961),x3963),x3962))) % 0.71/0.73 [397]~P24(x3971)+E(f9(f9(f10(x3971),f9(f17(x3971),x3972)),f9(f17(x3971),x3973)),f9(f17(x3971),f9(f9(f10(x3971),x3972),x3973))) % 0.71/0.73 [400]~P3(x4001)+E(f9(f9(f10(x4001),x4002),f9(f9(f10(x4001),f9(f17(x4001),x4002)),x4003)),x4003) % 0.71/0.73 [270]E(x2701,x2702)+~E(f8(x2703,x2701),f8(x2704,x2702)) % 0.71/0.73 [271]E(x2711,x2712)+~E(f8(x2711,x2713),f8(x2712,x2714)) % 0.71/0.73 [455]~P43(x4552)+P18(f5(x4551,x4552,x4553),x4551,x4554,x4553,x4552) % 0.71/0.73 [558]~P18(x5581,x5583,x5584,x5582,a2)+P18(f6(a3,x5581,a2,a1,x5582),f9(a3,x5583),x5584,x5582,a1) % 0.71/0.73 [559]~P18(x5591,x5593,x5594,x5592,a2)+P18(f6(a4,x5591,a2,a1,x5592),f9(a4,x5593),x5594,x5592,a1) % 0.71/0.73 [541]~P24(x5411)+E(f11(f6(f17(x5411),x5412,x5411,x5411,x5413),x5414,x5413,x5411),f9(f17(x5411),f11(x5412,x5414,x5413,x5411))) % 0.71/0.73 [401]~P41(x4011)+E(f9(f9(f18(x4011),x4012),f9(f9(f18(x4011),x4013),x4014)),f9(f9(f18(x4011),x4013),f9(f9(f18(x4011),x4012),x4014))) % 0.71/0.73 [403]~P1(x4031)+E(f9(f9(f21(x4031),x4032),f9(f9(f18(x4031),x4033),x4034)),f9(f9(f18(x4031),x4033),f9(f9(f21(x4031),x4032),x4034))) % 0.71/0.73 [404]~P34(x4041)+E(f9(f9(f21(x4041),x4042),f9(f9(f18(x4041),x4043),x4044)),f9(f9(f18(x4041),x4043),f9(f9(f21(x4041),x4042),x4044))) % 0.71/0.73 [405]~P36(x4051)+E(f9(f9(f21(x4051),x4052),f9(f9(f21(x4051),x4053),x4054)),f9(f9(f21(x4051),x4053),f9(f9(f21(x4051),x4052),x4054))) % 0.71/0.73 [407]~P37(x4071)+E(f9(f9(f21(x4071),x4072),f9(f9(f21(x4071),x4073),x4074)),f9(f9(f21(x4071),x4073),f9(f9(f21(x4071),x4072),x4074))) % 0.71/0.73 [408]~P41(x4081)+E(f9(f9(f10(x4081),x4082),f9(f9(f10(x4081),x4083),x4084)),f9(f9(f10(x4081),x4083),f9(f9(f10(x4081),x4082),x4084))) % 0.71/0.73 [409]~P29(x4091)+E(f9(f9(f10(x4091),x4092),f9(f9(f10(x4091),x4093),x4094)),f9(f9(f10(x4091),x4093),f9(f9(f10(x4091),x4092),x4094))) % 0.71/0.73 [410]~P24(x4101)+E(f9(f9(f10(x4101),x4102),f9(f9(f10(x4101),x4103),x4104)),f9(f9(f10(x4101),x4103),f9(f9(f10(x4101),x4102),x4104))) % 0.71/0.73 [434]~P1(x4341)+E(f9(f9(f10(x4341),f9(f9(f18(x4341),x4342),x4343)),f9(f9(f18(x4341),x4342),x4344)),f9(f9(f18(x4341),x4342),f9(f9(f10(x4341),x4343),x4344))) % 0.71/0.73 [435]~P41(x4351)+E(f9(f9(f10(x4351),f9(f9(f18(x4351),x4352),x4353)),f9(f9(f18(x4351),x4352),x4354)),f9(f9(f18(x4351),x4352),f9(f9(f10(x4351),x4353),x4354))) % 0.71/0.73 [436]~P36(x4361)+E(f9(f9(f10(x4361),f9(f9(f21(x4361),x4362),x4363)),f9(f9(f21(x4361),x4362),x4364)),f9(f9(f21(x4361),x4362),f9(f9(f10(x4361),x4363),x4364))) % 0.71/0.73 [437]~P37(x4371)+E(f9(f9(f10(x4371),f9(f9(f21(x4371),x4372),x4373)),f9(f9(f21(x4371),x4372),x4374)),f9(f9(f21(x4371),x4372),f9(f9(f10(x4371),x4373),x4374))) % 0.71/0.73 [421]~P41(x4211)+E(f9(f9(f18(x4211),f9(f9(f18(x4211),x4212),x4213)),x4214),f9(f9(f18(x4211),x4212),f9(f9(f18(x4211),x4213),x4214))) % 0.71/0.73 [422]~P23(x4221)+E(f9(f9(f18(x4221),f9(f9(f18(x4221),x4222),x4223)),x4224),f9(f9(f18(x4221),x4222),f9(f9(f18(x4221),x4223),x4224))) % 0.71/0.73 [424]~P1(x4241)+E(f9(f9(f18(x4241),f9(f9(f21(x4241),x4242),x4243)),x4244),f9(f9(f21(x4241),x4242),f9(f9(f18(x4241),x4243),x4244))) % 0.71/0.73 [425]~P34(x4251)+E(f9(f9(f18(x4251),f9(f9(f21(x4251),x4252),x4253)),x4254),f9(f9(f21(x4251),x4252),f9(f9(f18(x4251),x4253),x4254))) % 0.71/0.73 [426]~P41(x4261)+E(f9(f9(f10(x4261),f9(f9(f10(x4261),x4262),x4263)),x4264),f9(f9(f10(x4261),x4262),f9(f9(f10(x4261),x4263),x4264))) % 0.71/0.73 [427]~P29(x4271)+E(f9(f9(f10(x4271),f9(f9(f10(x4271),x4272),x4273)),x4274),f9(f9(f10(x4271),x4272),f9(f9(f10(x4271),x4273),x4274))) % 0.71/0.73 [428]~P25(x4281)+E(f9(f9(f10(x4281),f9(f9(f10(x4281),x4282),x4283)),x4284),f9(f9(f10(x4281),x4282),f9(f9(f10(x4281),x4283),x4284))) % 0.71/0.73 [431]~P41(x4311)+E(f9(f9(f18(x4311),f9(f9(f18(x4311),x4312),x4313)),x4314),f9(f9(f18(x4311),f9(f9(f18(x4311),x4312),x4314)),x4313)) % 0.71/0.73 [432]~P41(x4321)+E(f9(f9(f10(x4321),f9(f9(f10(x4321),x4322),x4323)),x4324),f9(f9(f10(x4321),f9(f9(f10(x4321),x4322),x4324)),x4323)) % 0.71/0.73 [441]~P1(x4411)+E(f9(f9(f10(x4411),f9(f9(f18(x4411),x4412),x4413)),f9(f9(f18(x4411),x4414),x4413)),f9(f9(f18(x4411),f9(f9(f10(x4411),x4412),x4414)),x4413)) % 0.71/0.73 [443]~P42(x4431)+E(f9(f9(f10(x4431),f9(f9(f18(x4431),x4432),x4433)),f9(f9(f18(x4431),x4434),x4433)),f9(f9(f18(x4431),f9(f9(f10(x4431),x4432),x4434)),x4433)) % 0.71/0.73 [444]~P41(x4441)+E(f9(f9(f10(x4441),f9(f9(f18(x4441),x4442),x4443)),f9(f9(f18(x4441),x4444),x4443)),f9(f9(f18(x4441),f9(f9(f10(x4441),x4442),x4444)),x4443)) % 0.71/0.73 [446]~P41(x4461)+E(f9(f9(f18(x4461),f9(f9(f18(x4461),x4462),x4463)),f9(f9(f18(x4461),x4464),x4465)),f9(f9(f18(x4461),f9(f9(f18(x4461),x4462),x4464)),f9(f9(f18(x4461),x4463),x4465))) % 0.71/0.73 [447]~P41(x4471)+E(f9(f9(f10(x4471),f9(f9(f10(x4471),x4472),x4473)),f9(f9(f10(x4471),x4474),x4475)),f9(f9(f10(x4471),f9(f9(f10(x4471),x4472),x4474)),f9(f9(f10(x4471),x4473),x4475))) % 0.71/0.73 [543]~P1(x5431)+E(f11(f6(f9(f18(x5431),x5432),x5433,x5431,x5431,x5434),x5435,x5434,x5431),f9(f9(f18(x5431),x5432),f11(x5433,x5435,x5434,x5431))) % 0.71/0.73 [544]~P35(x5441)+E(f11(f6(f9(f18(x5441),x5442),x5443,x5441,x5441,x5444),x5445,x5444,x5441),f9(f9(f18(x5441),x5442),f11(x5443,x5445,x5444,x5441))) % 0.71/0.73 [545]~P36(x5451)+E(f11(f6(f9(f21(x5451),x5452),x5453,x5451,x5451,x5454),x5455,x5454,x5451),f9(f9(f21(x5451),x5452),f11(x5453,x5455,x5454,x5451))) % 0.71/0.73 [598]~P36(x5981)+E(f11(f7(f6(f21(x5981),x5982,a1,f26(x5981,x5981),x5983),x5984,x5983,x5981,x5981),x5985,x5983,x5981),f9(f9(f21(x5981),f11(x5982,x5985,x5983,a1)),x5984)) % 0.71/0.73 [599]~P1(x5991)+E(f11(f7(f6(f18(x5991),x5992,x5991,f26(x5991,x5991),x5993),x5994,x5993,x5991,x5991),x5995,x5993,x5991),f9(f9(f18(x5991),f11(x5992,x5995,x5993,x5991)),x5994)) % 0.71/0.73 [600]~P35(x6001)+E(f11(f7(f6(f18(x6001),x6002,x6001,f26(x6001,x6001),x6003),x6004,x6003,x6001,x6001),x6005,x6003,x6001),f9(f9(f18(x6001),f11(x6002,x6005,x6003,x6001)),x6004)) % 0.71/0.73 [462]~P53(x4621)+E(f9(f9(f10(x4621),f9(f9(f18(x4621),x4622),x4623)),f9(f9(f10(x4621),f9(f9(f18(x4621),x4624),x4623)),x4625)),f9(f9(f10(x4621),f9(f9(f18(x4621),f9(f9(f10(x4621),x4622),x4624)),x4623)),x4625)) % 0.71/0.73 [265]~P2(x2652)+~P13(x2651,x2652)+P15(x2651,x2652) % 0.71/0.73 [266]~P55(x2662)+~P13(x2661,x2662)+P15(x2661,x2662) % 0.71/0.73 [267]~P55(x2672)+~P15(x2671,x2672)+P13(x2671,x2672) % 0.71/0.73 [313]E(x3131,x3132)+~E(f9(a3,x3131),f9(a3,x3132))+~E(f9(a4,x3131),f9(a4,x3132)) % 0.71/0.73 [318]~P37(x3182)+~P21(x3181,x3182)+P14(x3181,f16(x3182),x3182) % 0.71/0.73 [339]~P37(x3392)+~P21(x3391,x3392)+P22(x3391,f22(x3391,x3392),x3392) % 0.71/0.73 [340]~P2(x3402)+~P13(x3401,x3402)+P14(x3401,f23(x3401,x3402),x3402) % 0.71/0.73 [376]~P37(x3762)+E(x3761,f16(x3762))+~P19(f5(x3761,x3762,a24),x3762) % 0.71/0.73 [269]~P30(x2692)+E(x2691,f16(x2692))+~E(f9(f17(x2692),x2691),x2691) % 0.71/0.73 [272]~P37(x2722)+E(x2721,f16(x2722))+~E(f9(f19(x2722),x2721),f16(a1)) % 0.71/0.73 [273]~P33(x2732)+E(x2731,f16(a1))+~E(f9(f15(x2732),x2731),f16(x2732)) % 0.71/0.73 [274]~P3(x2742)+E(x2741,f16(x2742))+~E(f9(f17(x2742),x2741),f16(x2742)) % 0.71/0.73 [275]~P46(x2752)+E(x2751,f16(x2752))+~E(f9(f12(x2752),x2751),f16(x2752)) % 0.71/0.73 [276]~P3(x2761)+E(f16(x2761),x2762)+~E(f9(f17(x2761),x2762),f16(x2761)) % 0.71/0.73 [304]~P45(x3041)+~P5(x3041)+E(f9(f9(f10(x3041),x3042),f16(x3041)),x3042) % 0.71/0.73 [454]~P38(x4542)+P10(f12(x4542),x4541,f9(f12(x4542),x4541),x4542,x4542)+E(x4541,f16(x4542)) % 0.71/0.73 [473]~P37(x4731)+~P19(x4732,x4731)+P19(f6(f19(x4731),x4732,x4731,a1,a24),a1) % 0.71/0.73 [474]~P37(x4741)+~P19(x4742,x4741)+P19(f6(f17(x4741),x4742,x4741,x4741,a24),x4741) % 0.71/0.73 [475]~P37(x4751)+~P21(x4752,x4751)+P21(f6(f17(x4751),x4752,x4751,x4751,a24),x4751) % 0.71/0.73 [476]~P37(x4761)+~P13(x4762,x4761)+P13(f6(f17(x4761),x4762,x4761,x4761,a24),x4761) % 0.71/0.73 [506]~P37(x5061)+~P14(x5062,f16(x5061),x5061)+P14(f6(f19(x5061),x5062,x5061,a1,a24),f16(a1),a1) % 0.71/0.73 [549]~P37(x5492)+P19(x5491,x5492)+~P19(f6(f19(x5492),x5491,x5492,a1,a24),a1) % 0.71/0.73 [550]~P54(x5502)+P21(x5501,x5502)+~P21(f6(f19(x5502),x5501,x5502,a1,a24),a1) % 0.71/0.73 [551]~P37(x5512)+P13(x5511,x5512)+~P13(f6(f17(x5512),x5511,x5512,x5512,a24),x5512) % 0.71/0.73 [553]~P37(x5532)+P14(x5531,f16(x5532),x5532)+~P14(f6(f19(x5532),x5531,x5532,a1,a24),f16(a1),a1) % 0.71/0.73 [296]~P46(x2962)+E(x2961,f16(x2962))+E(f9(f12(x2962),f9(f12(x2962),x2961)),x2961) % 0.71/0.73 [305]~P46(x3051)+~P47(x3051)+E(f9(f12(x3051),f9(f12(x3051),x3052)),x3052) % 0.71/0.73 [323]~P31(x3232)+E(x3231,f16(x3232))+~E(f9(f9(f10(x3232),x3231),x3231),f16(x3232)) % 0.71/0.73 [350]~P46(x3502)+E(x3501,f16(x3502))+E(f9(f12(x3502),f9(f17(x3502),x3501)),f9(f17(x3502),f9(f12(x3502),x3501))) % 0.71/0.73 [351]~P46(x3511)+~P47(x3511)+E(f9(f12(x3511),f9(f17(x3511),x3512)),f9(f17(x3511),f9(f12(x3511),x3512))) % 0.71/0.73 [485]~P37(x4851)+~P21(x4852,x4851)+E(f22(f6(f17(x4851),x4852,x4851,x4851,a24),x4851),f9(f17(x4851),f22(x4852,x4851))) % 0.71/0.73 [486]~P37(x4861)+~P13(x4862,x4861)+E(f23(f6(f17(x4861),x4862,x4861,x4861,a24),x4861),f9(f17(x4861),f23(x4862,x4861))) % 0.71/0.73 [330]~P2(x3302)+P15(x3301,x3302)+~P14(x3301,x3303,x3302) % 0.71/0.73 [332]~P37(x3322)+P21(x3321,x3322)+~P22(x3321,x3323,x3322) % 0.71/0.73 [334]~P2(x3342)+P13(x3341,x3342)+~P14(x3341,x3343,x3342) % 0.71/0.73 [335]~P37(x3353)+~P22(x3352,x3351,x3353)+E(x3351,f22(x3352,x3353)) % 0.71/0.73 [336]~P37(x3362)+~P22(x3361,x3363,x3362)+E(f22(x3361,x3362),x3363) % 0.71/0.73 [337]~P2(x3372)+~P14(x3371,x3373,x3372)+E(f23(x3371,x3372),x3373) % 0.71/0.73 [391]E(x3911,x3912)+~P2(x3913)+~P14(f5(x3911,x3913,a24),x3912,x3913) % 0.71/0.73 [500]~P2(x5002)+~P14(x5001,x5003,x5002)+P14(f6(x5001,a13,a24,x5002,a24),x5003,x5002) % 0.71/0.73 [552]~P2(x5523)+P14(x5521,x5522,x5523)+~P14(f6(x5521,a13,a24,x5523,a24),x5522,x5523) % 0.71/0.73 [301]~P3(x3013)+E(x3011,x3012)+~E(f9(f17(x3013),x3011),f9(f17(x3013),x3012)) % 0.71/0.73 [302]~P4(x3023)+E(x3021,x3022)+~E(f9(f17(x3023),x3021),f9(f17(x3023),x3022)) % 0.71/0.73 [303]~P33(x3033)+E(x3031,x3032)+~E(f9(f15(x3033),x3031),f9(f15(x3033),x3032)) % 0.71/0.73 [505]~P40(x5051)+~P11(x5052,x5053,x5051)+P11(f6(f17(x5051),x5052,x5051,x5051,x5051),x5053,x5051) % 0.71/0.73 [509]~P37(x5091)+~P14(x5092,x5093,x5091)+P14(f6(f19(x5091),x5092,x5091,a1,a24),f9(f19(x5091),x5093),a1) % 0.71/0.73 [513]~P37(x5131)+~P22(x5132,x5133,x5131)+P22(f6(f17(x5131),x5132,x5131,x5131,a24),f9(f17(x5131),x5133),x5131) % 0.71/0.73 [514]~P37(x5141)+~P14(x5142,x5143,x5141)+P14(f6(f17(x5141),x5142,x5141,x5141,a24),f9(f17(x5141),x5143),x5141) % 0.71/0.73 [554]~P37(x5543)+P14(x5541,x5542,x5543)+~P14(f6(f17(x5543),x5541,x5543,x5543,a24),f9(f17(x5543),x5542),x5543) % 0.71/0.73 [346]~P3(x3462)+E(x3461,f9(f17(x3462),x3463))+~E(f9(f9(f10(x3462),x3461),x3463),f16(x3462)) % 0.71/0.73 [347]~P3(x3471)+E(f9(f17(x3471),x3472),x3473)+~E(f9(f9(f10(x3471),x3472),x3473),f16(x3471)) % 0.71/0.73 [487]~P1(x4871)+~P15(x4873,x4871)+P15(f6(f9(f18(x4871),x4872),x4873,x4871,x4871,a24),x4871) % 0.71/0.73 [488]~P37(x4881)+~P15(x4883,x4881)+P15(f6(f9(f21(x4881),x4882),x4883,x4881,x4881,a24),x4881) % 0.71/0.73 [490]~P1(x4901)+~P19(x4903,x4901)+P19(f6(f9(f18(x4901),x4902),x4903,x4901,x4901,a24),x4901) % 0.71/0.73 [492]~P37(x4921)+~P19(x4923,x4921)+P19(f6(f9(f21(x4921),x4922),x4923,x4921,x4921,a24),x4921) % 0.71/0.73 [494]~P1(x4941)+~P21(x4943,x4941)+P21(f6(f9(f18(x4941),x4942),x4943,x4941,x4941,a24),x4941) % 0.71/0.73 [495]~P37(x4951)+~P21(x4953,x4951)+P21(f6(f9(f21(x4951),x4952),x4953,x4951,x4951,a24),x4951) % 0.71/0.73 [591]~P37(x5913)+~P21(x5911,x5913)+P21(f6(x5911,f7(f10(a24),x5912,a24,a24,a24),a24,x5913,a24),x5913) % 0.71/0.73 [398]~P47(x3981)+~P48(x3981)+E(f9(f9(f18(x3981),f9(f12(x3981),x3982)),f9(f12(x3981),x3983)),f9(f12(x3981),f9(f9(f18(x3981),x3982),x3983))) % 0.71/0.73 [438]~P49(x4382)+E(x4381,f16(x4382))+~E(f9(f9(f10(x4382),f9(f9(f18(x4382),x4383),x4383)),f9(f9(f18(x4382),x4381),x4381)),f16(x4382)) % 0.71/0.73 [439]~P49(x4392)+E(x4391,f16(x4392))+~E(f9(f9(f10(x4392),f9(f9(f18(x4392),x4391),x4391)),f9(f9(f18(x4392),x4393),x4393)),f16(x4392)) % 0.71/0.73 [511]~P37(x5111)+~P21(x5113,x5111)+E(f22(f6(f9(f21(x5111),x5112),x5113,x5111,x5111,a24),x5111),f9(f9(f21(x5111),x5112),f22(x5113,x5111))) % 0.71/0.73 [512]~P1(x5121)+~P21(x5123,x5121)+E(f22(f6(f9(f18(x5121),x5122),x5123,x5121,x5121,a24),x5121),f9(f9(f18(x5121),x5122),f22(x5123,x5121))) % 0.71/0.73 [413]~P2(x4132)+~P2(x4133)+P9(f5(x4131,x4132,x4133),x4134,x4133,x4132) % 0.71/0.73 [456]~P2(x4563)+~P2(x4562)+P10(f5(x4561,x4562,x4563),x4564,x4561,x4563,x4562) % 0.71/0.73 [560]~P2(x5602)+~P10(x5601,x5603,x5604,x5602,a2)+P10(f6(a3,x5601,a2,a1,x5602),x5603,f9(a3,x5604),x5602,a1) % 0.71/0.73 [561]~P2(x5612)+~P10(x5611,x5613,x5614,x5612,a2)+P10(f6(a4,x5611,a2,a1,x5612),x5613,f9(a4,x5614),x5612,a1) % 0.71/0.73 [529]~P37(x5291)+~P17(x5292,x5294,x5293,x5291)+P17(f6(f19(x5291),x5292,x5291,a1,x5293),x5294,x5293,a1) % 0.71/0.73 [530]~P37(x5301)+~P17(x5302,x5304,x5303,x5301)+P17(f6(f17(x5301),x5302,x5301,x5301,x5303),x5304,x5303,x5301) % 0.71/0.73 [556]~P37(x5564)+P17(x5561,x5562,x5563,x5564)+~P17(f6(f19(x5564),x5561,x5564,a1,x5563),x5562,x5563,a1) % 0.71/0.73 [366]~P27(x3663)+E(x3661,x3662)+~E(f9(f9(f10(x3663),x3664),x3661),f9(f9(f10(x3663),x3664),x3662)) % 0.71/0.73 [367]~P28(x3673)+E(x3671,x3672)+~E(f9(f9(f10(x3673),x3674),x3671),f9(f9(f10(x3673),x3674),x3672)) % 0.71/0.73 [368]~P28(x3683)+E(x3681,x3682)+~E(f9(f9(f10(x3683),x3681),x3684),f9(f9(f10(x3683),x3682),x3684)) % 0.71/0.73 [523]~P1(x5231)+~P22(x5233,x5234,x5231)+P22(f6(f9(f18(x5231),x5232),x5233,x5231,x5231,a24),f9(f9(f18(x5231),x5232),x5234),x5231) % 0.71/0.73 [524]~P37(x5241)+~P22(x5243,x5244,x5241)+P22(f6(f9(f21(x5241),x5242),x5243,x5241,x5241,a24),f9(f9(f21(x5241),x5242),x5244),x5241) % 0.71/0.73 [525]~P1(x5251)+~P14(x5253,x5254,x5251)+P14(f6(f9(f18(x5251),x5252),x5253,x5251,x5251,a24),f9(f9(f18(x5251),x5252),x5254),x5251) % 0.71/0.73 [526]~P37(x5261)+~P14(x5263,x5264,x5261)+P14(f6(f9(f21(x5261),x5262),x5263,x5261,x5261,a24),f9(f9(f21(x5261),x5262),x5264),x5261) % 0.71/0.73 [542]~P37(x5421)+~P33(x5421)+E(f11(f6(f15(x5421),x5422,a1,x5421,x5423),x5424,x5423,x5421),f9(f15(x5421),f11(x5422,x5424,x5423,a1))) % 0.71/0.73 [592]~P2(x5923)+~P14(x5921,x5924,x5923)+P14(f6(x5921,f7(f10(a24),x5922,a24,a24,a24),a24,x5923,a24),x5924,x5923) % 0.71/0.73 [609]~P2(x6093)+P14(x6091,x6092,x6093)+~P14(f6(x6091,f7(f10(a24),x6094,a24,a24,a24),a24,x6093,a24),x6092,x6093) % 0.71/0.73 [392]~P24(x3922)+E(x3921,f9(f17(x3922),x3923))+~E(f9(f9(f10(x3922),x3921),f9(f9(f10(x3922),x3924),x3923)),x3924) % 0.71/0.73 [449]~P45(x4491)+~P5(x4491)+E(f9(f9(f10(x4491),f9(f9(f18(x4491),x4492),x4493)),f9(f9(f18(x4491),x4492),x4494)),f9(f9(f10(x4491),f9(f9(f18(x4491),x4492),x4494)),f9(f9(f18(x4491),x4492),x4493))) % 0.71/0.73 [564]~P37(x5641)+~P18(x5642,x5644,x5645,x5643,x5641)+P18(f6(f19(x5641),x5642,x5641,a1,x5643),f9(f19(x5641),x5644),x5645,x5643,a1) % 0.71/0.73 [565]~P37(x5651)+~P18(x5652,x5654,x5655,x5653,x5651)+P18(f6(f17(x5651),x5652,x5651,x5651,x5653),f9(f17(x5651),x5654),x5655,x5653,x5651) % 0.71/0.73 [588]~P37(x5885)+P18(x5881,x5882,x5883,x5884,x5885)+~P18(f6(f17(x5885),x5881,x5885,x5885,x5884),f9(f17(x5885),x5882),x5883,x5884,x5885) % 0.71/0.73 [537]~P1(x5371)+~P17(x5373,x5375,x5374,x5371)+P17(f6(f9(f18(x5371),x5372),x5373,x5371,x5371,x5374),x5375,x5374,x5371) % 0.71/0.73 [539]~P37(x5391)+~P17(x5393,x5395,x5394,x5391)+P17(f6(f9(f21(x5391),x5392),x5393,x5391,x5391,x5394),x5395,x5394,x5391) % 0.71/0.73 [595]~P37(x5951)+~P17(x5952,x5955,x5953,a1)+P17(f7(f6(f21(x5951),x5952,a1,f26(x5951,x5951),x5953),x5954,x5953,x5951,x5951),x5955,x5953,x5951) % 0.71/0.73 [597]~P1(x5971)+~P17(x5972,x5975,x5973,x5971)+P17(f7(f6(f18(x5971),x5972,x5971,f26(x5971,x5971),x5973),x5974,x5973,x5971,x5971),x5975,x5973,x5971) % 0.71/0.73 [416]~P24(x4161)+E(f9(f9(f10(x4161),x4162),x4163),x4164)+~E(f9(f9(f10(x4161),x4162),f9(f9(f10(x4161),x4165),x4163)),f9(f9(f10(x4161),x4165),x4164)) % 0.71/0.73 [581]~P1(x5811)+~P18(x5813,x5815,x5816,x5814,x5811)+P18(f6(f9(f18(x5811),x5812),x5813,x5811,x5811,x5814),f9(f9(f18(x5811),x5812),x5815),x5816,x5814,x5811) % 0.71/0.73 [582]~P37(x5821)+~P18(x5823,x5825,x5826,x5824,x5821)+P18(f6(f9(f21(x5821),x5822),x5823,x5821,x5821,x5824),f9(f9(f21(x5821),x5822),x5825),x5826,x5824,x5821) % 0.71/0.73 [605]~P37(x6051)+~P18(x6052,x6055,x6056,x6053,a1)+P18(f7(f6(f21(x6051),x6052,a1,f26(x6051,x6051),x6053),x6054,x6053,x6051,x6051),f9(f9(f21(x6051),x6055),x6054),x6056,x6053,x6051) % 0.71/0.73 [607]~P1(x6071)+~P18(x6072,x6075,x6076,x6073,x6071)+P18(f7(f6(f18(x6071),x6072,x6071,f26(x6071,x6071),x6073),x6074,x6073,x6071,x6071),f9(f9(f18(x6071),x6075),x6074),x6076,x6073,x6071) % 0.71/0.73 [477]~P37(x4771)+~P33(x4771)+~P15(x4772,a1)+P15(f6(f15(x4771),x4772,a1,x4771,a24),x4771) % 0.71/0.73 [478]~P37(x4781)+~P33(x4781)+~P19(x4782,a1)+P19(f6(f15(x4781),x4782,a1,x4781,a24),x4781) % 0.71/0.73 [479]~P37(x4791)+~P33(x4791)+~P21(x4792,a1)+P21(f6(f15(x4791),x4792,a1,x4791,a24),x4791) % 0.71/0.73 [484]~P37(x4841)+~P33(x4841)+~P21(x4842,a1)+E(f22(f6(f15(x4841),x4842,a1,x4841,a24),x4841),f9(f15(x4841),f22(x4842,a1))) % 0.71/0.73 [362]~P37(x3623)+~P37(x3622)+~P16(x3621,x3622,x3623)+P8(x3621,x3622,x3623) % 0.71/0.73 [312]~P46(x3123)+~P47(x3123)+E(x3121,x3122)+~E(f9(f12(x3123),x3121),f9(f12(x3123),x3122)) % 0.71/0.73 [508]~P40(x5083)+~P11(x5081,x5082,x5083)+E(f9(x5081,x5082),f16(x5083))+P11(f6(f12(x5083),x5081,x5083,x5083,x5083),x5082,x5083) % 0.71/0.73 [515]~P37(x5151)+~P33(x5151)+~P22(x5152,x5153,a1)+P22(f6(f15(x5151),x5152,a1,x5151,a24),f9(f15(x5151),x5153),x5151) % 0.71/0.73 [516]~P37(x5161)+~P33(x5161)+~P14(x5162,x5163,a1)+P14(f6(f15(x5161),x5162,a1,x5161,a24),f9(f15(x5161),x5163),x5161) % 0.71/0.73 [517]~P38(x5172)+~P14(x5173,x5171,x5172)+E(x5171,f16(x5172))+P14(f6(f12(x5172),x5173,x5172,x5172,a24),f9(f12(x5172),x5171),x5172) % 0.71/0.73 [325]~P45(x3252)+~P5(x3252)+E(x3251,f16(x3252))+~E(f9(f9(f10(x3252),x3253),x3251),x3253) % 0.71/0.73 [326]~P36(x3262)+E(x3261,f16(x3262))+E(x3263,f16(a1))+~E(f9(f9(f21(x3262),x3263),x3261),f16(x3262)) % 0.71/0.73 [327]~P52(x3272)+E(x3271,f16(x3272))+E(x3273,f16(x3272))+~E(f9(f9(f18(x3272),x3273),x3271),f16(x3272)) % 0.71/0.73 [329]~P50(x3292)+E(x3291,f16(x3292))+E(x3293,f16(x3292))+~E(f9(f9(f18(x3292),x3293),x3291),f16(x3292)) % 0.71/0.73 [375]~P45(x3753)+E(x3751,x3752)+E(x3751,f9(f17(x3753),x3752))+~E(f9(f9(f18(x3753),x3751),x3751),f9(f9(f18(x3753),x3752),x3752)) % 0.71/0.73 [453]~P46(x4532)+E(x4531,f16(x4532))+E(x4533,f16(x4532))+E(f9(f9(f18(x4532),f9(f9(f18(x4532),f9(f12(x4532),x4533)),f9(f9(f10(x4532),x4533),x4531))),f9(f12(x4532),x4531)),f9(f9(f10(x4532),f9(f12(x4532),x4533)),f9(f12(x4532),x4531))) % 0.71/0.73 [460]~P48(x4602)+E(x4601,f16(x4602))+E(x4603,f16(x4602))+E(f9(f9(f18(x4602),f9(f9(f18(x4602),f9(f9(f10(x4602),x4603),x4601)),f9(f12(x4602),x4603))),f9(f12(x4602),x4601)),f9(f9(f10(x4602),f9(f12(x4602),x4603)),f9(f12(x4602),x4601))) % 0.71/0.73 [399]~P46(x3992)+E(x3991,f16(x3992))+E(x3993,f16(x3992))+E(f9(f9(f18(x3992),f9(f12(x3992),x3991)),f9(f12(x3992),x3993)),f9(f12(x3992),f9(f9(f18(x3992),x3993),x3991))) % 0.71/0.73 [372]~P14(x3724,x3721,x3723)+E(x3721,x3722)+~P14(x3724,x3722,x3723)+~P2(x3723) % 0.71/0.73 [411]~P2(x4114)+~P2(x4113)+~P8(x4111,x4113,x4114)+P9(x4111,x4112,x4113,x4114) % 0.71/0.73 [412]~P37(x4124)+~P37(x4123)+~P16(x4121,x4123,x4124)+P9(x4121,x4122,x4123,x4124) % 0.71/0.73 [457]~P37(x4574)+~P37(x4573)+~P16(x4571,x4573,x4574)+P10(x4571,x4572,f9(x4571,x4572),x4573,x4574) % 0.71/0.73 [461]~P2(x4614)+~P2(x4613)+~P9(x4611,x4612,x4613,x4614)+P10(x4611,x4612,f9(x4611,x4612),x4613,x4614) % 0.71/0.73 [466]~P2(x4664)+~P2(x4663)+P9(x4661,x4662,x4663,x4664)+~P10(x4661,x4662,f9(x4661,x4662),x4663,x4664) % 0.71/0.73 [521]~P40(x5213)+~P11(x5212,x5214,x5213)+~P11(x5211,f9(x5212,x5214),x5213)+P11(f6(x5211,x5212,x5213,x5213,x5213),x5214,x5213) % 0.71/0.73 [531]~P37(x5311)+~P33(x5311)+~P17(x5312,x5314,x5313,a1)+P17(f6(f15(x5311),x5312,a1,x5311,x5313),x5314,x5313,x5311) % 0.71/0.73 [532]~P2(x5323)+~P39(x5321)+~P9(x5322,x5324,x5323,a1)+P9(f6(f15(x5321),x5322,a1,x5321,x5323),x5324,x5323,x5321) % 0.71/0.73 [533]~P2(x5333)+~P37(x5331)+~P9(x5332,x5334,x5333,x5331)+P9(f6(f19(x5331),x5332,x5331,a1,x5333),x5334,x5333,a1) % 0.71/0.73 [534]~P2(x5343)+~P37(x5341)+~P9(x5342,x5344,x5343,x5341)+P9(f6(f17(x5341),x5342,x5341,x5341,x5343),x5344,x5343,x5341) % 0.71/0.73 [562]~P2(x5623)+~P37(x5621)+~P10(x5622,x5624,f16(x5621),x5623,x5621)+P10(f6(f19(x5621),x5622,x5621,a1,x5623),x5624,f16(a1),x5623,a1) % 0.71/0.73 [587]~P2(x5874)+~P37(x5873)+P10(x5871,x5872,f16(x5873),x5874,x5873)+~P10(f6(f19(x5873),x5871,x5873,a1,x5874),x5872,f16(a1),x5874,a1) % 0.71/0.73 [369]~P36(x3694)+E(x3691,x3692)+E(x3693,f16(a1))+~E(f9(f9(f21(x3694),x3693),x3691),f9(f9(f21(x3694),x3693),x3692)) % 0.71/0.73 [370]~P36(x3704)+E(x3701,x3702)+E(x3703,f16(x3704))+~E(f9(f9(f21(x3704),x3701),x3703),f9(f9(f21(x3704),x3702),x3703)) % 0.71/0.73 [371]~P45(x3713)+~P5(x3713)+E(x3711,x3712)+~E(f9(f9(f10(x3713),x3714),x3711),f9(f9(f10(x3713),x3714),x3712)) % 0.71/0.73 [555]~P2(x5554)+~P37(x5552)+~P9(x5551,x5553,x5552,x5554)+P10(f6(x5551,f9(f10(x5552),x5553),x5552,x5554,x5552),f16(x5552),f9(x5551,x5553),x5552,x5554) % 0.71/0.73 [586]~P2(x5864)+~P37(x5863)+P9(x5861,x5862,x5863,x5864)+~P10(f6(x5861,f9(f10(x5863),x5862),x5863,x5864,x5863),f16(x5863),f9(x5861,x5862),x5863,x5864) % 0.71/0.73 [464]E(x4641,x4642)+~P2(x4643)+~P39(x4644)+~P10(f5(x4641,x4643,x4644),x4645,x4642,x4644,x4643) % 0.71/0.73 [566]~P37(x5661)+~P33(x5661)+~P18(x5662,x5664,x5665,x5663,a1)+P18(f6(f15(x5661),x5662,a1,x5661,x5663),f9(f15(x5661),x5664),x5665,x5663,x5661) % 0.71/0.73 [567]~P2(x5673)+~P37(x5671)+~P10(x5672,x5674,x5675,x5673,x5671)+P10(f6(f19(x5671),x5672,x5671,a1,x5673),x5674,f9(f19(x5671),x5675),x5673,a1) % 0.71/0.73 [568]~P38(x5682)+~P18(x5683,x5681,x5685,x5684,x5682)+P18(f6(f12(x5682),x5683,x5682,x5682,x5684),f9(f12(x5682),x5681),x5685,x5684,x5682)+E(x5681,f16(x5682)) % 0.71/0.73 [569]~P2(x5693)+~P37(x5691)+~P10(x5692,x5694,x5695,x5693,x5691)+P10(f6(f17(x5691),x5692,x5691,x5691,x5693),x5694,f9(f17(x5691),x5695),x5693,x5691) % 0.71/0.73 [572]~P2(x5724)+~P37(x5722)+~P10(x5721,x5723,x5725,x5722,x5724)+P10(f6(x5721,f9(f10(x5722),x5723),x5722,x5724,x5722),f16(x5722),x5725,x5722,x5724) % 0.71/0.73 [574]~P1(x5741)+~P2(x5744)+~P10(x5743,x5745,f16(x5741),x5744,x5741)+P10(f6(f9(f18(x5741),x5742),x5743,x5741,x5741,x5744),x5745,f16(x5741),x5744,x5741) % 0.71/0.73 [576]~P2(x5764)+~P37(x5761)+~P10(x5763,x5765,f16(x5761),x5764,x5761)+P10(f6(f9(f21(x5761),x5762),x5763,x5761,x5761,x5764),x5765,f16(x5761),x5764,x5761) % 0.71/0.73 [589]~P2(x5895)+~P37(x5894)+P10(x5891,x5892,x5893,x5894,x5895)+~P10(f6(x5891,f9(f10(x5894),x5892),x5894,x5895,x5894),f16(x5894),x5893,x5894,x5895) % 0.71/0.73 [602]~P2(x6023)+~P37(x6021)+~P10(x6022,x6025,f16(a1),x6023,a1)+P10(f7(f6(f21(x6021),x6022,a1,f26(x6021,x6021),x6023),x6024,x6023,x6021,x6021),x6025,f16(x6021),x6023,x6021) % 0.71/0.73 [604]~P1(x6041)+~P2(x6043)+~P10(x6042,x6045,f16(x6041),x6043,x6041)+P10(f7(f6(f18(x6041),x6042,x6041,f26(x6041,x6041),x6043),x6044,x6043,x6041,x6041),x6045,f16(x6041),x6043,x6041) % 0.71/0.73 [395]~P37(x3955)+~P37(x3952)+~P16(x3951,x3952,x3955)+E(f9(x3951,f9(f9(f21(x3952),x3953),x3954)),f9(f9(f21(x3955),x3953),f9(x3951,x3954))) % 0.71/0.73 [583]~P1(x5831)+~P2(x5834)+~P10(x5833,x5835,x5836,x5834,x5831)+P10(f6(f9(f18(x5831),x5832),x5833,x5831,x5831,x5834),x5835,f9(f9(f18(x5831),x5832),x5836),x5834,x5831) % 0.71/0.73 [584]~P2(x5844)+~P37(x5841)+~P10(x5843,x5845,x5846,x5844,x5841)+P10(f6(f9(f21(x5841),x5842),x5843,x5841,x5841,x5844),x5845,f9(f9(f21(x5841),x5842),x5846),x5844,x5841) % 0.71/0.73 [606]~P2(x6063)+~P37(x6061)+~P10(x6062,x6065,x6066,x6063,a1)+P10(f7(f6(f21(x6061),x6062,a1,f26(x6061,x6061),x6063),x6064,x6063,x6061,x6061),x6065,f9(f9(f21(x6061),x6066),x6064),x6063,x6061) % 0.71/0.73 [608]~P1(x6081)+~P2(x6083)+~P10(x6082,x6085,x6086,x6083,x6081)+P10(f7(f6(f18(x6081),x6082,x6081,f26(x6081,x6081),x6083),x6084,x6083,x6081,x6081),x6085,f9(f9(f18(x6081),x6086),x6084),x6083,x6081) % 0.71/0.73 [315]~P46(x3153)+E(x3151,x3152)+E(x3152,f16(x3153))+E(x3151,f16(x3153))+~E(f9(f12(x3153),x3151),f9(f12(x3153),x3152)) % 0.71/0.73 [496]~P2(x4964)+~P2(x4963)+~P15(x4962,x4963)+~P8(x4961,x4963,x4964)+P15(f6(x4961,x4962,x4963,x4964,a24),x4964) % 0.71/0.73 [497]~P37(x4974)+~P37(x4973)+~P15(x4972,x4973)+~P16(x4971,x4973,x4974)+P15(f6(x4971,x4972,x4973,x4974,a24),x4974) % 0.71/0.73 [498]~P37(x4984)+~P37(x4983)+~P19(x4982,x4983)+~P16(x4981,x4983,x4984)+P19(f6(x4981,x4982,x4983,x4984,a24),x4984) % 0.71/0.73 [499]~P37(x4994)+~P37(x4993)+~P21(x4992,x4993)+~P16(x4991,x4993,x4994)+P21(f6(x4991,x4992,x4993,x4994,a24),x4994) % 0.71/0.73 [507]~P37(x5074)+~P37(x5073)+~P21(x5072,x5073)+~P16(x5071,x5073,x5074)+E(f22(f6(x5071,x5072,x5073,x5074,a24),x5074),f9(x5071,f22(x5072,x5073))) % 0.71/0.73 [535]~P2(x5354)+~P38(x5353)+~P9(x5351,x5352,x5354,x5353)+P9(f6(f12(x5353),x5351,x5353,x5353,x5354),x5352,x5354,x5353)+E(f9(x5351,x5352),f16(x5353)) % 0.71/0.73 [563]~P2(x5633)+~P37(x5631)+~P33(x5631)+P10(f6(f15(x5631),x5632,a1,x5631,x5633),x5634,f16(x5631),x5633,x5631)+~P10(x5632,x5634,f16(a1),x5633,a1) % 0.71/0.73 [518]~P37(x5184)+~P37(x5183)+~P16(x5181,x5183,x5184)+~P22(x5182,x5185,x5183)+P22(f6(x5181,x5182,x5183,x5184,a24),f9(x5181,x5185),x5184) % 0.71/0.73 [519]~P37(x5194)+~P37(x5193)+~P16(x5191,x5193,x5194)+~P14(x5192,x5195,x5193)+P14(f6(x5191,x5192,x5193,x5194,a24),f9(x5191,x5195),x5194) % 0.71/0.73 [570]~P2(x5703)+~P37(x5701)+~P33(x5701)+~P10(x5702,x5704,x5705,x5703,a1)+P10(f6(f15(x5701),x5702,a1,x5701,x5703),x5704,f9(f15(x5701),x5705),x5703,x5701) % 0.71/0.73 [571]~P2(x5714)+~P38(x5712)+~P10(x5713,x5715,x5711,x5714,x5712)+P10(f6(f12(x5712),x5713,x5712,x5712,x5714),x5715,f9(f12(x5712),x5711),x5714,x5712)+E(x5711,f16(x5712)) % 0.71/0.73 [430]~P45(x4304)+~P5(x4304)+E(x4301,x4302)+E(x4303,f16(x4304))+~E(f9(f9(f10(x4304),x4305),f9(f9(f18(x4304),x4303),x4301)),f9(f9(f10(x4304),x4305),f9(f9(f18(x4304),x4303),x4302))) % 0.71/0.73 [452]~P45(x4525)+~P5(x4525)+E(x4521,x4522)+E(x4523,x4524)+~E(f9(f9(f10(x4525),f9(f9(f18(x4525),x4523),x4521)),f9(f9(f18(x4525),x4524),x4522)),f9(f9(f10(x4525),f9(f9(f18(x4525),x4523),x4522)),f9(f9(f18(x4525),x4524),x4521))) % 0.71/0.73 [548]~P10(x5485,x5486,x5481,x5484,x5483)+E(x5481,x5482)+~P10(x5485,x5486,x5482,x5484,x5483)+~P2(x5483)+~P39(x5484) % 0.71/0.73 [540]~P37(x5403)+~P37(x5404)+~P16(x5401,x5403,x5404)+~P17(x5402,x5406,x5405,x5403)+P17(f6(x5401,x5402,x5403,x5404,x5405),x5406,x5405,x5404) % 0.71/0.73 [578]~P37(x5783)+~P37(x5784)+~P16(x5781,x5783,x5784)+~P18(x5782,x5786,x5787,x5785,x5783)+P18(f6(x5781,x5782,x5783,x5784,x5785),f9(x5781,x5786),x5787,x5785,x5784) % 0.71/0.73 [546]~P2(x5463)+~P2(x5464)+~P2(x5465)+~P9(x5462,x5466,x5465,x5463)+~P9(x5461,f9(x5462,x5466),x5463,x5464)+P9(f6(x5461,x5462,x5463,x5464,x5465),x5466,x5465,x5464) % 0.71/0.73 [577]~P2(x5775)+~P37(x5773)+~P37(x5774)+~P16(x5771,x5773,x5774)+~P10(x5772,x5776,f16(x5773),x5775,x5773)+P10(f6(x5771,x5772,x5773,x5774,x5775),x5776,f16(x5774),x5775,x5774) % 0.71/0.73 [557]~P2(x5573)+~P2(x5575)+~P14(x5571,x5572,x5573)+~P10(x5574,x5572,x5576,x5573,x5575)+P14(f6(x5574,x5571,x5573,x5575,a24),x5576,x5575)+E(f9(x5571,f20(x5571,x5572,x5573)),x5572) % 0.71/0.73 [579]~P2(x5795)+~P37(x5794)+~P37(x5793)+~P16(x5791,x5793,x5794)+~P10(x5792,x5796,x5797,x5795,x5793)+P10(f6(x5791,x5792,x5793,x5794,x5795),x5796,f9(x5791,x5797),x5795,x5794) % 0.71/0.73 [585]~P2(x5855)+~P2(x5854)+~P2(x5853)+~P9(x5851,x5857,x5853,x5854)+~P10(x5852,x5856,x5857,x5855,x5853)+P10(f6(x5851,x5852,x5853,x5854,x5855),x5856,f9(x5851,x5857),x5855,x5854) % 0.71/0.73 [593]~P2(x5935)+~P2(x5934)+~P2(x5933)+~P10(x5932,x5936,x5937,x5935,x5933)+P10(f6(x5931,x5932,x5933,x5934,x5935),x5936,f9(x5931,x5937),x5935,x5934)+~P10(x5931,x5937,f9(x5931,x5937),x5933,x5934) % 0.71/0.73 %EqnAxiom % 0.71/0.73 [1]E(x11,x11) % 0.71/0.73 [2]E(x22,x21)+~E(x21,x22) % 0.71/0.73 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.71/0.73 [4]~E(x41,x42)+E(f8(x41,x43),f8(x42,x43)) % 0.71/0.73 [5]~E(x51,x52)+E(f8(x53,x51),f8(x53,x52)) % 0.71/0.73 [6]~E(x61,x62)+E(f9(x61,x63),f9(x62,x63)) % 0.71/0.73 [7]~E(x71,x72)+E(f9(x73,x71),f9(x73,x72)) % 0.71/0.73 [8]~E(x81,x82)+E(f6(x81,x83,x84,x85,x86),f6(x82,x83,x84,x85,x86)) % 0.71/0.73 [9]~E(x91,x92)+E(f6(x93,x91,x94,x95,x96),f6(x93,x92,x94,x95,x96)) % 0.71/0.73 [10]~E(x101,x102)+E(f6(x103,x104,x101,x105,x106),f6(x103,x104,x102,x105,x106)) % 0.71/0.73 [11]~E(x111,x112)+E(f6(x113,x114,x115,x111,x116),f6(x113,x114,x115,x112,x116)) % 0.71/0.73 [12]~E(x121,x122)+E(f6(x123,x124,x125,x126,x121),f6(x123,x124,x125,x126,x122)) % 0.71/0.73 [13]~E(x131,x132)+E(f10(x131),f10(x132)) % 0.71/0.73 [14]~E(x141,x142)+E(f7(x141,x143,x144,x145,x146),f7(x142,x143,x144,x145,x146)) % 0.71/0.73 [15]~E(x151,x152)+E(f7(x153,x151,x154,x155,x156),f7(x153,x152,x154,x155,x156)) % 0.71/0.73 [16]~E(x161,x162)+E(f7(x163,x164,x161,x165,x166),f7(x163,x164,x162,x165,x166)) % 0.71/0.73 [17]~E(x171,x172)+E(f7(x173,x174,x175,x171,x176),f7(x173,x174,x175,x172,x176)) % 0.71/0.73 [18]~E(x181,x182)+E(f7(x183,x184,x185,x186,x181),f7(x183,x184,x185,x186,x182)) % 0.71/0.73 [19]~E(x191,x192)+E(f18(x191),f18(x192)) % 0.71/0.73 [20]~E(x201,x202)+E(f23(x201,x203),f23(x202,x203)) % 0.71/0.73 [21]~E(x211,x212)+E(f23(x213,x211),f23(x213,x212)) % 0.71/0.73 [22]~E(x221,x222)+E(f17(x221),f17(x222)) % 0.71/0.73 [23]~E(x231,x232)+E(f12(x231),f12(x232)) % 0.71/0.73 [24]~E(x241,x242)+E(f19(x241),f19(x242)) % 0.71/0.73 [25]~E(x251,x252)+E(f16(x251),f16(x252)) % 0.71/0.73 [26]~E(x261,x262)+E(f15(x261),f15(x262)) % 0.71/0.73 [27]~E(x271,x272)+E(f26(x271,x273),f26(x272,x273)) % 0.71/0.73 [28]~E(x281,x282)+E(f26(x283,x281),f26(x283,x282)) % 0.71/0.73 [29]~E(x291,x292)+E(f5(x291,x293,x294),f5(x292,x293,x294)) % 0.71/0.73 [30]~E(x301,x302)+E(f5(x303,x301,x304),f5(x303,x302,x304)) % 0.71/0.73 [31]~E(x311,x312)+E(f5(x313,x314,x311),f5(x313,x314,x312)) % 0.71/0.73 [32]~E(x321,x322)+E(f11(x321,x323,x324,x325),f11(x322,x323,x324,x325)) % 0.71/0.73 [33]~E(x331,x332)+E(f11(x333,x331,x334,x335),f11(x333,x332,x334,x335)) % 0.71/0.73 [34]~E(x341,x342)+E(f11(x343,x344,x341,x345),f11(x343,x344,x342,x345)) % 0.71/0.73 [35]~E(x351,x352)+E(f11(x353,x354,x355,x351),f11(x353,x354,x355,x352)) % 0.71/0.73 [36]~E(x361,x362)+E(f21(x361),f21(x362)) % 0.71/0.73 [37]~E(x371,x372)+E(f22(x371,x373),f22(x372,x373)) % 0.71/0.73 [38]~E(x381,x382)+E(f22(x383,x381),f22(x383,x382)) % 0.71/0.73 [39]~E(x391,x392)+E(f20(x391,x393,x394),f20(x392,x393,x394)) % 0.71/0.73 [40]~E(x401,x402)+E(f20(x403,x401,x404),f20(x403,x402,x404)) % 0.71/0.73 [41]~E(x411,x412)+E(f20(x413,x414,x411),f20(x413,x414,x412)) % 0.71/0.73 [42]~E(x421,x422)+E(f14(x421,x423,x424,x425),f14(x422,x423,x424,x425)) % 0.71/0.73 [43]~E(x431,x432)+E(f14(x433,x431,x434,x435),f14(x433,x432,x434,x435)) % 0.71/0.73 [44]~E(x441,x442)+E(f14(x443,x444,x441,x445),f14(x443,x444,x442,x445)) % 0.71/0.73 [45]~E(x451,x452)+E(f14(x453,x454,x455,x451),f14(x453,x454,x455,x452)) % 0.71/0.73 [46]~E(x461,x462)+E(f30(x461,x463,x464),f30(x462,x463,x464)) % 0.71/0.73 [47]~E(x471,x472)+E(f30(x473,x471,x474),f30(x473,x472,x474)) % 0.71/0.73 [48]~E(x481,x482)+E(f30(x483,x484,x481),f30(x483,x484,x482)) % 0.71/0.73 [49]~P1(x491)+P1(x492)+~E(x491,x492) % 0.71/0.73 [50]P14(x502,x503,x504)+~E(x501,x502)+~P14(x501,x503,x504) % 0.71/0.73 [51]P14(x513,x512,x514)+~E(x511,x512)+~P14(x513,x511,x514) % 0.71/0.73 [52]P14(x523,x524,x522)+~E(x521,x522)+~P14(x523,x524,x521) % 0.71/0.73 [53]~P2(x531)+P2(x532)+~E(x531,x532) % 0.71/0.73 [54]P18(x542,x543,x544,x545,x546)+~E(x541,x542)+~P18(x541,x543,x544,x545,x546) % 0.71/0.73 [55]P18(x553,x552,x554,x555,x556)+~E(x551,x552)+~P18(x553,x551,x554,x555,x556) % 0.71/0.73 [56]P18(x563,x564,x562,x565,x566)+~E(x561,x562)+~P18(x563,x564,x561,x565,x566) % 0.71/0.73 [57]P18(x573,x574,x575,x572,x576)+~E(x571,x572)+~P18(x573,x574,x575,x571,x576) % 0.71/0.73 [58]P18(x583,x584,x585,x586,x582)+~E(x581,x582)+~P18(x583,x584,x585,x586,x581) % 0.71/0.73 [59]~P35(x591)+P35(x592)+~E(x591,x592) % 0.71/0.73 [60]P17(x602,x603,x604,x605)+~E(x601,x602)+~P17(x601,x603,x604,x605) % 0.71/0.73 [61]P17(x613,x612,x614,x615)+~E(x611,x612)+~P17(x613,x611,x614,x615) % 0.71/0.73 [62]P17(x623,x624,x622,x625)+~E(x621,x622)+~P17(x623,x624,x621,x625) % 0.71/0.73 [63]P17(x633,x634,x635,x632)+~E(x631,x632)+~P17(x633,x634,x635,x631) % 0.71/0.73 [64]P9(x642,x643,x644,x645)+~E(x641,x642)+~P9(x641,x643,x644,x645) % 0.71/0.73 [65]P9(x653,x652,x654,x655)+~E(x651,x652)+~P9(x653,x651,x654,x655) % 0.71/0.73 [66]P9(x663,x664,x662,x665)+~E(x661,x662)+~P9(x663,x664,x661,x665) % 0.71/0.73 [67]P9(x673,x674,x675,x672)+~E(x671,x672)+~P9(x673,x674,x675,x671) % 0.71/0.73 [68]~P36(x681)+P36(x682)+~E(x681,x682) % 0.71/0.73 [69]P21(x692,x693)+~E(x691,x692)+~P21(x691,x693) % 0.71/0.73 [70]P21(x703,x702)+~E(x701,x702)+~P21(x703,x701) % 0.71/0.73 [71]~P37(x711)+P37(x712)+~E(x711,x712) % 0.71/0.73 [72]P22(x722,x723,x724)+~E(x721,x722)+~P22(x721,x723,x724) % 0.71/0.73 [73]P22(x733,x732,x734)+~E(x731,x732)+~P22(x733,x731,x734) % 0.71/0.73 [74]P22(x743,x744,x742)+~E(x741,x742)+~P22(x743,x744,x741) % 0.71/0.73 [75]~P3(x751)+P3(x752)+~E(x751,x752) % 0.71/0.73 [76]P13(x762,x763)+~E(x761,x762)+~P13(x761,x763) % 0.71/0.73 [77]P13(x773,x772)+~E(x771,x772)+~P13(x773,x771) % 0.71/0.73 [78]~P33(x781)+P33(x782)+~E(x781,x782) % 0.71/0.73 [79]P10(x792,x793,x794,x795,x796)+~E(x791,x792)+~P10(x791,x793,x794,x795,x796) % 0.71/0.73 [80]P10(x803,x802,x804,x805,x806)+~E(x801,x802)+~P10(x803,x801,x804,x805,x806) % 0.71/0.73 [81]P10(x813,x814,x812,x815,x816)+~E(x811,x812)+~P10(x813,x814,x811,x815,x816) % 0.71/0.73 [82]P10(x823,x824,x825,x822,x826)+~E(x821,x822)+~P10(x823,x824,x825,x821,x826) % 0.71/0.73 [83]P10(x833,x834,x835,x836,x832)+~E(x831,x832)+~P10(x833,x834,x835,x836,x831) % 0.71/0.73 [84]~P41(x841)+P41(x842)+~E(x841,x842) % 0.71/0.73 [85]P19(x852,x853)+~E(x851,x852)+~P19(x851,x853) % 0.71/0.73 [86]P19(x863,x862)+~E(x861,x862)+~P19(x863,x861) % 0.71/0.73 [87]~P46(x871)+P46(x872)+~E(x871,x872) % 0.71/0.73 [88]~P54(x881)+P54(x882)+~E(x881,x882) % 0.71/0.73 [89]~P29(x891)+P29(x892)+~E(x891,x892) % 0.71/0.73 [90]~P38(x901)+P38(x902)+~E(x901,x902) % 0.71/0.73 [91]~P40(x911)+P40(x912)+~E(x911,x912) % 0.71/0.73 [92]~P44(x921)+P44(x922)+~E(x921,x922) % 0.71/0.73 [93]~P28(x931)+P28(x932)+~E(x931,x932) % 0.71/0.73 [94]~P4(x941)+P4(x942)+~E(x941,x942) % 0.71/0.73 [95]~P39(x951)+P39(x952)+~E(x951,x952) % 0.71/0.73 [96]~P49(x961)+P49(x962)+~E(x961,x962) % 0.71/0.73 [97]P15(x972,x973)+~E(x971,x972)+~P15(x971,x973) % 0.71/0.73 [98]P15(x983,x982)+~E(x981,x982)+~P15(x983,x981) % 0.71/0.73 [99]P11(x992,x993,x994)+~E(x991,x992)+~P11(x991,x993,x994) % 0.71/0.73 [100]P11(x1003,x1002,x1004)+~E(x1001,x1002)+~P11(x1003,x1001,x1004) % 0.71/0.73 [101]P11(x1013,x1014,x1012)+~E(x1011,x1012)+~P11(x1013,x1014,x1011) % 0.71/0.73 [102]~P45(x1021)+P45(x1022)+~E(x1021,x1022) % 0.71/0.73 [103]~P31(x1031)+P31(x1032)+~E(x1031,x1032) % 0.71/0.73 [104]~P5(x1041)+P5(x1042)+~E(x1041,x1042) % 0.71/0.73 [105]P16(x1052,x1053,x1054)+~E(x1051,x1052)+~P16(x1051,x1053,x1054) % 0.71/0.73 [106]P16(x1063,x1062,x1064)+~E(x1061,x1062)+~P16(x1063,x1061,x1064) % 0.71/0.73 [107]P16(x1073,x1074,x1072)+~E(x1071,x1072)+~P16(x1073,x1074,x1071) % 0.71/0.73 [108]~P24(x1081)+P24(x1082)+~E(x1081,x1082) % 0.71/0.73 [109]~P48(x1091)+P48(x1092)+~E(x1091,x1092) % 0.71/0.73 [110]~P56(x1101)+P56(x1102)+~E(x1101,x1102) % 0.71/0.73 [111]~P47(x1111)+P47(x1112)+~E(x1111,x1112) % 0.71/0.73 [112]~P42(x1121)+P42(x1122)+~E(x1121,x1122) % 0.71/0.73 [113]~P23(x1131)+P23(x1132)+~E(x1131,x1132) % 0.71/0.73 [114]P8(x1142,x1143,x1144)+~E(x1141,x1142)+~P8(x1141,x1143,x1144) % 0.71/0.73 [115]P8(x1153,x1152,x1154)+~E(x1151,x1152)+~P8(x1153,x1151,x1154) % 0.71/0.73 [116]P8(x1163,x1164,x1162)+~E(x1161,x1162)+~P8(x1163,x1164,x1161) % 0.71/0.73 [117]P20(x1172,x1173,x1174)+~E(x1171,x1172)+~P20(x1171,x1173,x1174) % 0.71/0.73 [118]P20(x1183,x1182,x1184)+~E(x1181,x1182)+~P20(x1183,x1181,x1184) % 0.71/0.73 [119]P20(x1193,x1194,x1192)+~E(x1191,x1192)+~P20(x1193,x1194,x1191) % 0.71/0.73 [120]~P27(x1201)+P27(x1202)+~E(x1201,x1202) % 0.71/0.73 [121]~P55(x1211)+P55(x1212)+~E(x1211,x1212) % 0.71/0.73 [122]~P30(x1221)+P30(x1222)+~E(x1221,x1222) % 0.71/0.73 [123]~P6(x1231)+P6(x1232)+~E(x1231,x1232) % 0.71/0.73 [124]~P32(x1241)+P32(x1242)+~E(x1241,x1242) % 0.71/0.73 [125]~P51(x1251)+P51(x1252)+~E(x1251,x1252) % 0.71/0.73 [126]~P52(x1261)+P52(x1262)+~E(x1261,x1262) % 0.71/0.73 [127]~P26(x1271)+P26(x1272)+~E(x1271,x1272) % 0.71/0.73 [128]~P34(x1281)+P34(x1282)+~E(x1281,x1282) % 0.71/0.73 [129]~P12(x1291)+P12(x1292)+~E(x1291,x1292) % 0.71/0.73 [130]~P53(x1301)+P53(x1302)+~E(x1301,x1302) % 0.71/0.73 [131]~P25(x1311)+P25(x1312)+~E(x1311,x1312) % 0.71/0.73 [132]~P43(x1321)+P43(x1322)+~E(x1321,x1322) % 0.71/0.73 [133]~P7(x1331)+P7(x1332)+~E(x1331,x1332) % 0.71/0.73 [134]~P50(x1341)+P50(x1342)+~E(x1341,x1342) % 0.71/0.73 % 0.71/0.73 %------------------------------------------- % 0.71/0.73 cnf(632,plain, % 0.71/0.73 ($false), % 0.71/0.73 inference(scs_inference,[],[251,250,611]), % 0.71/0.73 ['proof']). % 0.71/0.73 % SZS output end Proof % 0.71/0.73 % Total time :0.030000s %------------------------------------------------------------------------------