TSTP Solution File: ALG370-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG370-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 15:59:42 EDT 2023
% Result : Unsatisfiable 2.40s 2.55s
% Output : CNFRefutation 2.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : ALG370-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 04:33:27 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 2.40/2.51 %-------------------------------------------
% 2.40/2.51 % File :CSE---1.6
% 2.40/2.51 % Problem :theBenchmark
% 2.40/2.51 % Transform :cnf
% 2.40/2.51 % Format :tptp:raw
% 2.40/2.51 % Command :java -jar mcs_scs.jar %d %s
% 2.40/2.51
% 2.40/2.51 % Result :Theorem 1.740000s
% 2.40/2.51 % Output :CNFRefutation 1.740000s
% 2.40/2.51 %-------------------------------------------
% 2.40/2.51 %------------------------------------------------------------------------------
% 2.40/2.51 % File : ALG370-1 : TPTP v8.1.2. Released v4.1.0.
% 2.40/2.51 % Domain : General Algebra
% 2.40/2.51 % Problem : Fundamental theorem of algebra 0367_58
% 2.40/2.51 % Version : Especial.
% 2.40/2.51 % English :
% 2.40/2.51
% 2.40/2.51 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 2.40/2.51 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 2.40/2.51 % Source : [Nip10]
% 2.40/2.51 % Names : Fundamental_Theorem_Algebra-0367_58 [Nip10]
% 2.40/2.51
% 2.40/2.51 % Status : Unsatisfiable
% 2.40/2.51 % Rating : 0.10 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.17 v7.0.0, 0.27 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.21 v6.0.0, 0.40 v5.5.0, 0.45 v5.3.0, 0.44 v5.1.0, 0.53 v5.0.0, 0.43 v4.1.0
% 2.40/2.51 % Syntax : Number of clauses : 614 ( 165 unt; 55 nHn; 458 RR)
% 2.40/2.51 % Number of literals : 1486 ( 239 equ; 842 neg)
% 2.40/2.51 % Maximal clause size : 6 ( 2 avg)
% 2.40/2.51 % Maximal term depth : 5 ( 1 avg)
% 2.40/2.51 % Number of predicates : 62 ( 61 usr; 0 prp; 1-3 aty)
% 2.40/2.51 % Number of functors : 24 ( 24 usr; 9 con; 0-3 aty)
% 2.40/2.51 % Number of variables : 1333 ( 28 sgn)
% 2.40/2.51 % SPC : CNF_UNS_RFO_SEQ_NHN
% 2.40/2.51
% 2.40/2.51 % Comments :
% 2.40/2.51 %------------------------------------------------------------------------------
% 2.40/2.51 cnf(cls_add__less__cancel__right_1,axiom,
% 2.40/2.51 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.40/2.51 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 2.40/2.51 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.40/2.51
% 2.40/2.51 cnf(cls_add__less__cancel__right_0,axiom,
% 2.40/2.51 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.40/2.51 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.51
% 2.40/2.51 cnf(cls_add__strict__left__mono_0,axiom,
% 2.40/2.51 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.40/2.51 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 2.40/2.51 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.40/2.51
% 2.40/2.51 cnf(cls_add__less__cancel__left_1,axiom,
% 2.40/2.51 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.40/2.51 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 2.40/2.51 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.40/2.51
% 2.40/2.51 cnf(cls_add__less__cancel__left_0,axiom,
% 2.40/2.51 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.40/2.51 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 2.40/2.51
% 2.40/2.51 cnf(cls_order__less__imp__le_0,axiom,
% 2.40/2.51 ( ~ class_Orderings_Opreorder(T_a)
% 2.40/2.51 | c_lessequals(V_x,V_y,T_a)
% 2.40/2.51 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.40/2.51
% 2.40/2.51 cnf(cls_order__le__less_1,axiom,
% 2.40/2.51 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.51 | c_lessequals(V_x,V_y,T_a)
% 2.40/2.51 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.40/2.51
% 2.40/2.51 cnf(cls_add__strict__mono_0,axiom,
% 2.40/2.51 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.40/2.51 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 2.40/2.51 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.40/2.51 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.40/2.51
% 2.40/2.51 cnf(cls_less__le__not__le_2,axiom,
% 2.40/2.51 ( ~ class_Orderings_Opreorder(T_a)
% 2.40/2.51 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.40/2.51 | c_lessequals(V_y,V_x,T_a)
% 2.40/2.51 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.40/2.51
% 2.40/2.51 cnf(cls_abs__less__iff_0,axiom,
% 2.40/2.51 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.40/2.51 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 2.40/2.51
% 2.40/2.51 cnf(cls_xt1_I11_J_0,axiom,
% 2.40/2.51 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.51 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.40/2.51 | V_a = V_b
% 2.40/2.51 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_xt1_I12_J_0,axiom,
% 2.40/2.52 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.52 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.40/2.52 | ~ c_lessequals(V_b,V_a,T_a)
% 2.40/2.52 | V_a = V_b ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_linorder__antisym__conv2_0,axiom,
% 2.40/2.52 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.52 | V_x = V_y
% 2.40/2.52 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.40/2.52 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_linorder__antisym__conv1_0,axiom,
% 2.40/2.52 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.52 | V_x = V_y
% 2.40/2.52 | ~ c_lessequals(V_x,V_y,T_a)
% 2.40/2.52 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_order__neq__le__trans_0,axiom,
% 2.40/2.52 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.52 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.52 | ~ c_lessequals(V_a,V_b,T_a)
% 2.40/2.52 | V_a = V_b ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_order__le__neq__trans_0,axiom,
% 2.40/2.52 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.52 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.52 | V_a = V_b
% 2.40/2.52 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_order__le__less_0,axiom,
% 2.40/2.52 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.52 | V_x = V_y
% 2.40/2.52 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.40/2.52 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_order__less__le_2,axiom,
% 2.40/2.52 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.52 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.40/2.52 | V_x = V_y
% 2.40/2.52 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_less__le__not__le_1,axiom,
% 2.40/2.52 ( ~ class_Orderings_Opreorder(T_a)
% 2.40/2.52 | ~ c_lessequals(V_y,V_x,T_a)
% 2.40/2.52 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_not__leE_0,axiom,
% 2.40/2.52 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.52 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.40/2.52 | c_lessequals(V_y,V_x,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_linorder__antisym__conv2_1,axiom,
% 2.40/2.52 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.52 | ~ c_lessequals(V_x,V_x,T_a)
% 2.40/2.52 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_add__strict__right__mono_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.40/2.52 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 2.40/2.52 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_order__le__less__trans_0,axiom,
% 2.40/2.52 ( ~ class_Orderings_Opreorder(T_a)
% 2.40/2.52 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.40/2.52 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 2.40/2.52 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_order__less__le__trans_0,axiom,
% 2.40/2.52 ( ~ class_Orderings_Opreorder(T_a)
% 2.40/2.52 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.40/2.52 | ~ c_lessequals(V_y,V_z,T_a)
% 2.40/2.52 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_xt1_I8_J_0,axiom,
% 2.40/2.52 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.52 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.40/2.52 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 2.40/2.52 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_xt1_I7_J_0,axiom,
% 2.40/2.52 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.52 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.40/2.52 | ~ c_lessequals(V_z,V_y,T_a)
% 2.40/2.52 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_add__le__less__mono_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.40/2.52 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 2.40/2.52 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.40/2.52 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_add__less__le__mono_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.40/2.52 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 2.40/2.52 | ~ c_lessequals(V_c,V_d,T_a)
% 2.40/2.52 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 2.40/2.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 2.40/2.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 2.40/2.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 2.40/2.52 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.40/2.52 | ~ class_Int_Onumber__ring(T_a)
% 2.40/2.52 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_add__0__left_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_dist__le__zero__iff_0,axiom,
% 2.40/2.52 ( ~ class_RealVector_Ometric__space(T_a)
% 2.40/2.52 | V_x = V_y
% 2.40/2.52 | ~ c_lessequals(c_RealVector_Odist__class_Odist(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_mult__smult__left_0,axiom,
% 2.40/2.52 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 2.40/2.52 | c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) = c_Polynomial_Osmult(V_a,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_mult__smult__right_0,axiom,
% 2.40/2.52 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 2.40/2.52 | c_HOL_Otimes__class_Otimes(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_Osmult(V_a,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_abs__of__pos_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.52 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 2.40/2.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_dist__eq__0__iff_0,axiom,
% 2.40/2.52 ( ~ class_RealVector_Ometric__space(T_a)
% 2.40/2.52 | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.52 | V_x = V_y ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 2.40/2.52 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.52 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.52 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 2.40/2.52 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.52 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.52 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_add__neg__neg_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.40/2.52 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.52 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.52 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_eq__number__of_0,axiom,
% 2.40/2.52 ( ~ class_Int_Oring__char__0(T_a)
% 2.40/2.52 | ~ class_Int_Onumber__ring(T_a)
% 2.40/2.52 | c_Int_Onumber__class_Onumber__of(V_x,T_a) != c_Int_Onumber__class_Onumber__of(V_y,T_a)
% 2.40/2.52 | V_x = V_y ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_right__distrib__number__of_0,axiom,
% 2.40/2.52 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 2.40/2.52 | ~ class_Int_Onumber(T_a)
% 2.40/2.52 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_b,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_c,T_a),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_add__strict__increasing2_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.40/2.52 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.40/2.52 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.40/2.52 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 2.40/2.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_abs__triangle__ineq_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.52 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 2.40/2.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 2.40/2.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 2.40/2.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 2.40/2.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_add__cancel__21_1,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 2.40/2.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_abs__eq__0_1,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.52 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_double__eq__0__iff_1,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.40/2.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.52 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_abs__triangle__ineq3_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.52 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_norm__le__zero__iff_0,axiom,
% 2.40/2.52 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.40/2.52 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.52 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_abs__le__D1_0,axiom,
% 2.40/2.52 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.52 | c_lessequals(V_a,V_b,T_a)
% 2.40/2.52 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_abs__le__mult_0,axiom,
% 2.40/2.52 ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 2.40/2.52 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 2.40/2.52
% 2.40/2.52 cnf(cls_norm__le__zero__iff_1,axiom,
% 2.40/2.53 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.40/2.53 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_of__real__eq__iff_0,axiom,
% 2.40/2.53 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.40/2.53 | c_RealVector_Oof__real(V_x,T_a) != c_RealVector_Oof__real(V_y,T_a)
% 2.40/2.53 | V_x = V_y ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_norm__eq__zero_0,axiom,
% 2.40/2.53 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.40/2.53 | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.53 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_add__increasing_0,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.40/2.53 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.40/2.53 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_b,V_c,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_add__increasing2_0,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.40/2.53 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.40/2.53 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_b,V_a,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_zero__less__dist__iff_0,axiom,
% 2.40/2.53 ( ~ class_RealVector_Ometric__space(T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(V_x,V_x,T_a),tc_RealDef_Oreal) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_sum__squares__ge__zero_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.40/2.53 | ~ class_Int_Onumber__ring(T_a)
% 2.40/2.53 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 2.40/2.53 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_double__eq__0__iff_0,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.40/2.53 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.53 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.40/2.53 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.40/2.53 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.40/2.53 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.40/2.53 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_even__less__0__iff_1,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_even__less__0__iff_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_H_I2_J_0,axiom,
% 2.40/2.53 c_HOL_Oord__class_Oless(v_da____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_one__neq__zero_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.40/2.53 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_dist__self_0,axiom,
% 2.40/2.53 ( ~ class_RealVector_Ometric__space(T_a)
% 2.40/2.53 | c_RealVector_Odist__class_Odist(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_add__neg__nonpos_0,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_add__nonpos__neg_0,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_of__real_Ozero_0,axiom,
% 2.40/2.53 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.40/2.53 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.40/2.53 | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_of__real__0_0,axiom,
% 2.40/2.53 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.40/2.53 | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_dist__le__zero__iff_1,axiom,
% 2.40/2.53 ( ~ class_RealVector_Ometric__space(T_a)
% 2.40/2.53 | c_lessequals(c_RealVector_Odist__class_Odist(V_x,V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_abs__le__zero__iff_0,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.53 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_estimate__by__abs_0,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 2.40/2.53 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_real__le__antisym_0,axiom,
% 2.40/2.53 ( V_z = V_w
% 2.40/2.53 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 2.40/2.53 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_order__antisym_0,axiom,
% 2.40/2.53 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.53 | V_x = V_y
% 2.40/2.53 | ~ c_lessequals(V_y,V_x,T_a)
% 2.40/2.53 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_order__eq__iff_2,axiom,
% 2.40/2.53 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.53 | V_x = V_y
% 2.40/2.53 | ~ c_lessequals(V_y,V_x,T_a)
% 2.40/2.53 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_order__antisym__conv_0,axiom,
% 2.40/2.53 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.53 | V_x = V_y
% 2.40/2.53 | ~ c_lessequals(V_x,V_y,T_a)
% 2.40/2.53 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_abs__of__nonneg_0,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.53 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_add__left__mono_0,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_add__right__mono_0,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_add__le__cancel__left_0,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.40/2.53 | c_lessequals(V_a,V_b,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_add__le__cancel__left_1,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_add__le__cancel__right_0,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.40/2.53 | c_lessequals(V_a,V_b,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_add__le__cancel__right_1,axiom,
% 2.40/2.53 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_abs__eq__mult_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.40/2.53 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_abs__eq__mult_1,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.40/2.53 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_abs__eq__mult_2,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.40/2.53 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.53 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_abs__eq__mult_3,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.40/2.53 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_dist__not__less__zero_0,axiom,
% 2.40/2.53 ( ~ class_RealVector_Ometric__space(T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_less__add__one_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_zero__less__dist__iff_1,axiom,
% 2.40/2.53 ( ~ class_RealVector_Ometric__space(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(V_x,V_y,T_a),tc_RealDef_Oreal)
% 2.40/2.53 | V_x = V_y ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__le__0__iff_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.53 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__le__0__iff_1,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__le__0__iff_2,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.53 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__le__0__iff_3,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.53 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_pos__add__strict_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__mono1_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.53 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__left__mono_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.53 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__right__mono_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.53 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__left__mono__neg_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__right__mono__neg_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.40/2.53 | ~ class_Int_Onumber__ring(T_a)
% 2.40/2.53 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a)
% 2.40/2.53 | V_c = V_d
% 2.40/2.53 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.53 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.53 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.53 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.53 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_linorder__antisym__conv1_1,axiom,
% 2.40/2.53 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 2.40/2.53 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_linorder__not__less_1,axiom,
% 2.40/2.53 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.40/2.53 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_linorder__not__less_0,axiom,
% 2.40/2.53 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.53 | c_lessequals(V_y,V_x,T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_linorder__not__le_0,axiom,
% 2.40/2.53 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.40/2.53 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_linorder__not__le_1,axiom,
% 2.40/2.53 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.53 | ~ c_lessequals(V_x,V_y,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__less__le__imp__less_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.40/2.53 | ~ c_lessequals(V_c,V_d,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__le__less__imp__less_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.40/2.53 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__strict__mono_H_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__less__imp__less__right_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__less__imp__less__left_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__right__less__imp__less_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__left__less__imp__less_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__strict__mono_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.53 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__right__le__imp__le_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.53 | c_lessequals(V_a,V_b,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__left__le__imp__le_0,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.53 | c_lessequals(V_a,V_b,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.53 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 2.40/2.53
% 2.40/2.53 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 2.40/2.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.53 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.53 | ~ c_lessequals(V_a,V_b,T_a)
% 2.40/2.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_lessequals(V_a,V_b,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_b,V_a,T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_lessequals(V_b,V_a,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 2.40/2.54 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 2.40/2.54 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__eq__0__iff_2,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__eq__0__iff_1,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__zero__right_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__zero__left_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__semiring_Omul__0_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__right_Ozero_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult_Ozero__right_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult_Ozero__left_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__left_Ozero_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__mult__self_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.40/2.54 | ~ class_Int_Onumber__ring(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)
% 2.40/2.54 | V_y = V_z
% 2.40/2.54 | V_w = V_x ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.40/2.54 | ~ class_Int_Onumber__ring(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.40/2.54 | V_c = V_d
% 2.40/2.54 | V_a = V_b ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_m,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__semiring_Omul__d_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult_Oadd__left_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__left_Oadd_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult_Oadd__right_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__right_Oadd_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__mult_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.40/2.54 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__eq__0__iff_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.54 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.54 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_no__zero__divisors_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.54 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.54 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.54 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.54 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__1__right_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__1__left_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__1_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__semiring_Omul__1_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.40/2.54 | ~ class_Int_Onumber__ring(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.40/2.54 | ~ class_Int_Onumber__ring(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_combine__common__factor_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_smult__smult_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 2.40/2.54 | c_Polynomial_Osmult(V_a,c_Polynomial_Osmult(V_b,V_p,T_a),T_a) = c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_p,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__diff__less__iff_1,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__diff__less__iff_2,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_le__add__iff2_1,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_le__add__iff2_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.40/2.54 | c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_le__add__iff1_1,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_le__add__iff1_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__minus__commute_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.54 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_le__eqI_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.40/2.54 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.40/2.54 | c_lessequals(V_y_H,V_x_H,T_a)
% 2.40/2.54 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_le__eqI_1,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.40/2.54 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.40/2.54 | c_lessequals(V_y,V_x,T_a)
% 2.40/2.54 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.40/2.54 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_right__minus__eq_1,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.40/2.54 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_diff__0__right_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.40/2.54 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_diff__self_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.40/2.54 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.40/2.54 | ~ class_Int_Onumber__ring(T_a)
% 2.40/2.54 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_diff__add__cancel_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.40/2.54 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.54 | V_a = V_b ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_right__minus__eq_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.40/2.54 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.54 | V_a = V_b ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.40/2.54 | ~ class_Int_Onumber__ring(T_a)
% 2.40/2.54 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.54 | V_x = V_y ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_Deriv_Oadd__diff__add_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.40/2.54 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_add__diff__cancel_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.40/2.54 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_real__less__def_0,axiom,
% 2.40/2.54 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_real__less__def_2,axiom,
% 2.40/2.54 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 2.40/2.54 | V_x = V_y
% 2.40/2.54 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_real__mult__le__cancel__iff2_1,axiom,
% 2.40/2.54 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.54 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_real__mult__le__cancel__iff2_0,axiom,
% 2.40/2.54 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_real__mult__le__cancel__iff1_1,axiom,
% 2.40/2.54 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.54 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_real__mult__le__cancel__iff1_0,axiom,
% 2.40/2.54 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__less__norm__iff_1,axiom,
% 2.40/2.54 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal)
% 2.40/2.54 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__less__norm__iff_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),tc_RealDef_Oreal) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_real__mult__right__cancel_0,axiom,
% 2.40/2.54 ( c_HOL_Otimes__class_Otimes(V_a,V_c,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_b,V_c,tc_RealDef_Oreal)
% 2.40/2.54 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.54 | V_a = V_b ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_real__mult__left__cancel_0,axiom,
% 2.40/2.54 ( c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal)
% 2.40/2.54 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.54 | V_a = V_b ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_real__mult__1_0,axiom,
% 2.40/2.54 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) = V_z ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_real__mult__is__one_1,axiom,
% 2.40/2.54 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_not__square__less__zero_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__pos__neg2_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__pos__neg_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__le__dist_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Ometric__space(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(V_x,V_y,T_a),tc_RealDef_Oreal) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_of__real__eq__0__iff_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.40/2.54 | c_RealVector_Oof__real(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.54 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_split__mult__pos__le_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_split__mult__pos__le_1,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__le__square_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__le__mult__iff_4,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__le__mult__iff_5,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_H_I1_J_0,axiom,
% 2.40/2.54 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_da____,tc_RealDef_Oreal) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__triangle__ineq2_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__le__mult__iff_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__le__mult__iff_1,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__le__mult__iff_2,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__le__mult__iff_3,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_d1_I2_J_0,axiom,
% 2.40/2.54 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_da____,tc_RealDef_Oreal) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__one_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.40/2.54 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__less__two_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__mono_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.54 | ~ c_lessequals(V_c,V_d,T_a)
% 2.40/2.54 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__mono_H_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.40/2.54 | ~ c_lessequals(V_c,V_d,T_a)
% 2.40/2.54 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_norm__ge__zero_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_smult__1__left_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_Polynomial_Osmult(c_HOL_Oone__class_Oone(T_a),V_p,T_a) = V_p ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_of__real__1_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.40/2.54 | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__left__le__one__le_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)
% 2.40/2.54 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__right__le__one__le_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)
% 2.40/2.54 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.40/2.54 | ~ class_Int_Onumber__ring(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 2.40/2.54 | V_y = V_z ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_add__imp__eq_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 2.40/2.54 | V_b = V_c ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_add__left__cancel_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 2.40/2.54 | V_b = V_c ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_add__right__cancel_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 2.40/2.54 | V_b = V_c ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__le__0__iff_4,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__le__0__iff_5,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.54 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_split__mult__neg__le_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_split__mult__neg__le_1,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.54 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.54 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__le__zero__iff_1,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_add__nonneg__pos_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_add__pos__nonneg_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_norm__one_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 2.40/2.54 | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_real__zero__not__eq__one_0,axiom,
% 2.40/2.54 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__neq__one_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.40/2.54 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_dist__commute_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Ometric__space(T_a)
% 2.40/2.54 | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) = c_RealVector_Odist__class_Odist(V_y,V_x,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_add__cancel__21_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_add__nonneg__nonneg_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_add__mono_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_c,V_d,T_a)
% 2.40/2.54 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__diff__triangle__ineq_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_add__strict__increasing_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.40/2.54 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_b,V_c,T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__idempotent_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.54 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__less__abs__iff_1,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 2.40/2.54 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_norm__zero_0,axiom,
% 2.40/2.54 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.40/2.54 | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(V_m,V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__ge__self_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.54 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_smult__diff__left_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 2.40/2.54 | c_Polynomial_Osmult(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_p,T_a) = c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_b,V_p,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_smult__diff__right_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 2.40/2.54 | c_Polynomial_Osmult(V_a,c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_not__one__less__zero_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__le__one_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.54 | c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_left__distrib__number__of_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 2.40/2.54 | ~ class_Int_Onumber(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__mult__pos_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.40/2.54 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_y,T_a),V_x,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__number__of_1,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.40/2.54 | ~ class_Int_Onumber__ring(T_a)
% 2.40/2.54 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_x,T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_x,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_add__pos__pos_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_not__one__le__zero_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_le__iff__diff__le__0_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_le__iff__diff__le__0_1,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.40/2.54 | c_lessequals(V_a,V_b,T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__not__less__zero_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_one0_0,axiom,
% 2.40/2.54 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_zero__less__one_0,axiom,
% 2.40/2.54 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_le__number__of__eq__not__less_0,axiom,
% 2.40/2.54 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.54 | ~ class_Int_Onumber(T_a)
% 2.40/2.54 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_le__number__of__eq__not__less_1,axiom,
% 2.40/2.54 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.54 | ~ class_Int_Onumber(T_a)
% 2.40/2.54 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 2.40/2.54 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__triangle__ineq4_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.40/2.54 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 2.40/2.54 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.40/2.54 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.54 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__if__lattice_1,axiom,
% 2.40/2.54 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.54 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 2.40/2.54 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 2.40/2.54 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.54
% 2.40/2.54 cnf(cls_abs__if_1,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 2.40/2.55 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_abs__add__abs_0,axiom,
% 2.40/2.55 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.55 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_abs__eq__0_0,axiom,
% 2.40/2.55 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.55 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.55 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_zero__less__abs__iff_0,axiom,
% 2.40/2.55 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_order__eq__refl_0,axiom,
% 2.40/2.55 ( ~ class_Orderings_Opreorder(T_a)
% 2.40/2.55 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_order__eq__iff_0,axiom,
% 2.40/2.55 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.55 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_real__le__trans_0,axiom,
% 2.40/2.55 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_real__le__refl_0,axiom,
% 2.40/2.55 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_le__add__right__mono_0,axiom,
% 2.40/2.55 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.40/2.55 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 2.40/2.55 | ~ c_lessequals(V_c,V_d,T_a)
% 2.40/2.55 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_order__trans_0,axiom,
% 2.40/2.55 ( ~ class_Orderings_Opreorder(T_a)
% 2.40/2.55 | c_lessequals(V_x,V_z,T_a)
% 2.40/2.55 | ~ c_lessequals(V_y,V_z,T_a)
% 2.40/2.55 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_add__nonpos__nonpos_0,axiom,
% 2.40/2.55 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.40/2.55 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.55 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.55 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_xt1_I6_J_0,axiom,
% 2.40/2.55 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.55 | c_lessequals(V_z,V_x,T_a)
% 2.40/2.55 | ~ c_lessequals(V_z,V_y,T_a)
% 2.40/2.55 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_norm__ratiotest__lemma_0,axiom,
% 2.40/2.55 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.40/2.55 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.40/2.55 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Otimes__class_Otimes(V_c,c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.55 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_abs__ge__zero_0,axiom,
% 2.40/2.55 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.40/2.55 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_linorder__linear_0,axiom,
% 2.40/2.55 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.55 | c_lessequals(V_y,V_x,T_a)
% 2.40/2.55 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_real__le__linear_0,axiom,
% 2.40/2.55 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 2.40/2.55 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__neg__pos_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_zero__less__mult__pos2_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_zero__less__mult__pos_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__pos__pos_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__neg__neg_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_abs__mult__less_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__strict__right__mono_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__strict__left__mono_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_less__1__mult_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_m,V_n,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_less__iff__diff__less__0_1,axiom,
% 2.40/2.55 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_less__iff__diff__less__0_0,axiom,
% 2.40/2.55 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_abs__diff__less__iff_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_eq__add__iff2_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.40/2.55 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 2.40/2.55 | V_c = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_eq__add__iff1_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.40/2.55 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 2.40/2.55 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) = V_d ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_eq__add__iff1_1,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.40/2.55 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_left__diff__distrib__number__of_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.40/2.55 | ~ class_Int_Onumber(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_right__diff__distrib__number__of_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.40/2.55 | ~ class_Int_Onumber(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Ominus__class_Ominus(V_b,V_c,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_b,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_c,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_eq__add__iff2_1,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.40/2.55 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult_Oprod__diff__prod_0,axiom,
% 2.40/2.55 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.40/2.55 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_of__real__mult_0,axiom,
% 2.40/2.55 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.40/2.55 | c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(V_x,T_a),c_RealVector_Oof__real(V_y,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_not__real__square__gt__zero_0,axiom,
% 2.40/2.55 ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_not__real__square__gt__zero_1,axiom,
% 2.40/2.55 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_real__mult__order_0,axiom,
% 2.40/2.55 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_real__mult__less__mono2_0,axiom,
% 2.40/2.55 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_real__mult__less__iff1_1,axiom,
% 2.40/2.55 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_real__mult__less__iff1_0,axiom,
% 2.40/2.55 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_dist__norm_0,axiom,
% 2.40/2.55 ( ~ class_RealVector_Odist__norm(T_a)
% 2.40/2.55 | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_norm__not__less__zero_0,axiom,
% 2.40/2.55 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_poly__mult_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 2.40/2.55 | c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_poly__smult_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 2.40/2.55 | c_Polynomial_Opoly(c_Polynomial_Osmult(V_a,V_p,T_a),V_x,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Polynomial_Opoly(V_p,V_x,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_poly__diff_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 2.40/2.55 | c_Polynomial_Opoly(c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_dist__complex__def_0,axiom,
% 2.40/2.55 c_RealVector_Odist__class_Odist(V_x,V_y,tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_ep_0,axiom,
% 2.40/2.55 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_e,tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_pCons_Ohyps_0,axiom,
% 2.40/2.55 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__local__XpCons__Xhyps__1(v_cs____,v_e,v_z),tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_pCons_0,axiom,
% 2.40/2.55 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__local__XpCons__1(v_cs____,v_e,v_z),tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_d1_I1_J_0,axiom,
% 2.40/2.55 c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_th_0,axiom,
% 2.40/2.55 c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_da____,tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_less__add__iff2_1,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_less__add__iff2_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_less__add__iff1_1,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_less__add__iff1_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_norm__mult__ineq_0,axiom,
% 2.40/2.55 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.40/2.55 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_pCons_1,axiom,
% 2.40/2.55 ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(V_w,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_w,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__local__XpCons__1(v_cs____,v_e,v_z),tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_w,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_pCons_Ohyps_1,axiom,
% 2.40/2.55 ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(V_w,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_w,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__local__XpCons__Xhyps__1(v_cs____,v_e,v_z),tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_w,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_H_I5_J_0,axiom,
% 2.40/2.55 c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_da____,tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_xt1_I9_J_0,axiom,
% 2.40/2.55 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 2.40/2.55 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_order__less__asym_0,axiom,
% 2.40/2.55 ( ~ class_Orderings_Opreorder(T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_order__less__asym_H_0,axiom,
% 2.40/2.55 ( ~ class_Orderings_Opreorder(T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_order__less__irrefl_0,axiom,
% 2.40/2.55 ( ~ class_Orderings_Opreorder(T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_real__less__def_1,axiom,
% 2.40/2.55 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_order__less__le_1,axiom,
% 2.40/2.55 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_linorder__neq__iff_1,axiom,
% 2.40/2.55 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_norm__mult_0,axiom,
% 2.40/2.55 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 2.40/2.55 | c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_class__semiring_Omul__a_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_real__mult__assoc_0,axiom,
% 2.40/2.55 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_z1,V_z2,tc_RealDef_Oreal),V_z3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_z1,c_HOL_Otimes__class_Otimes(V_z2,V_z3,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 2.40/2.55 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_norm__mult__less_0,axiom,
% 2.40/2.55 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_r,V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_less__eqI_0,axiom,
% 2.40/2.55 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.40/2.55 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_less__eqI_1,axiom,
% 2.40/2.55 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.40/2.55 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__idem_0,axiom,
% 2.40/2.55 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__left__idem_0,axiom,
% 2.40/2.55 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.40/2.55 | V_x = V_y ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 2.40/2.55 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.55 | V_x = V_y
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_linorder__antisym__conv3_0,axiom,
% 2.40/2.55 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.55 | V_x = V_y
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_linorder__less__linear_0,axiom,
% 2.40/2.55 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.40/2.55 | V_x = V_y
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_linorder__neqE_0,axiom,
% 2.40/2.55 ( ~ class_Orderings_Olinorder(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.40/2.55 | V_x = V_y ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_H_I4_J_0,axiom,
% 2.40/2.55 v_w____ != v_z ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_class__semiring_Omul__c_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_real__mult__commute_0,axiom,
% 2.40/2.55 c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 2.40/2.55 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_xt1_I10_J_0,axiom,
% 2.40/2.55 ( ~ class_Orderings_Oorder(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_order__less__trans_0,axiom,
% 2.40/2.55 ( ~ class_Orderings_Opreorder(T_a)
% 2.40/2.55 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 2.40/2.55 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_eq__eqI_0,axiom,
% 2.40/2.55 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.40/2.55 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.40/2.55 | V_x_H = V_y_H ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_eq__eqI_1,axiom,
% 2.40/2.55 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.40/2.55 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 2.40/2.55 | V_xa = V_y ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__right_Odiff_0,axiom,
% 2.40/2.55 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult_Odiff__right_0,axiom,
% 2.40/2.55 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult_Odiff__left_0,axiom,
% 2.40/2.55 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_mult__left_Odiff_0,axiom,
% 2.40/2.55 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.40/2.55 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_norm__minus__commute_0,axiom,
% 2.40/2.55 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.40/2.55 | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_CHAINED_0,axiom,
% 2.40/2.55 c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),v_e,tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_CHAINED_0_01,axiom,
% 2.40/2.55 c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(cls_conjecture_0,negated_conjecture,
% 2.40/2.55 ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),v_e,tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 2.40/2.55 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 2.40/2.55 class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom,
% 2.40/2.55 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 2.40/2.55 class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom,
% 2.40/2.55 class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 2.40/2.55 class_OrderedGroup_Ocancel__comm__monoid__add(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__ring__1,axiom,
% 2.40/2.55 class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 2.40/2.55 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 2.40/2.55 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 2.40/2.55 class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict,axiom,
% 2.40/2.55 class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 2.40/2.55 class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 2.40/2.55 class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 2.40/2.55 class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 2.40/2.55 class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict,axiom,
% 2.40/2.55 class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom,
% 2.40/2.55 class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
% 2.40/2.55 class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__semiring,axiom,
% 2.40/2.55 class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring__abs,axiom,
% 2.40/2.55 class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring,axiom,
% 2.40/2.55 class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom,
% 2.40/2.55 class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom,
% 2.40/2.55 class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
% 2.40/2.55 class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__0,axiom,
% 2.40/2.55 class_Ring__and__Field_Ocomm__semiring__0(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult,axiom,
% 2.40/2.55 class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult,axiom,
% 2.40/2.55 class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring,axiom,
% 2.40/2.55 class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Olordered__ring,axiom,
% 2.40/2.55 class_Ring__and__Field_Olordered__ring(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring,axiom,
% 2.40/2.55 class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom,
% 2.40/2.55 class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom,
% 2.40/2.55 class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__idom,axiom,
% 2.40/2.55 class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono1,axiom,
% 2.40/2.55 class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
% 2.40/2.55 class_OrderedGroup_Oab__group__add(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom,
% 2.40/2.55 class_Ring__and__Field_Omult__zero(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono,axiom,
% 2.40/2.55 class_Ring__and__Field_Omult__mono(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__ring,axiom,
% 2.40/2.55 class_Ring__and__Field_Ocomm__ring(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__mult,axiom,
% 2.40/2.55 class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring,axiom,
% 2.40/2.55 class_Ring__and__Field_Osemiring(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
% 2.40/2.55 class_OrderedGroup_Omonoid__add(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Ogroup__add(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Oabs__if,axiom,
% 2.40/2.55 class_Ring__and__Field_Oabs__if(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Oring,axiom,
% 2.40/2.55 class_Ring__and__Field_Oring(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
% 2.40/2.55 class_Ring__and__Field_Oidom(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom,
% 2.40/2.55 class_Orderings_Opreorder(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom,
% 2.40/2.55 class_Orderings_Olinorder(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Orderings_Oorder,axiom,
% 2.40/2.55 class_Orderings_Oorder(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
% 2.40/2.55 class_Int_Oring__char__0(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
% 2.40/2.55 class_Int_Onumber__ring(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Int__Oint__Int_Onumber,axiom,
% 2.40/2.55 class_Int_Onumber(tc_Int_Oint) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 2.40/2.55 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 2.40/2.55 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 2.40/2.55 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom,
% 2.40/2.55 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 2.40/2.55 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 2.40/2.55 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 2.40/2.55 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 2.40/2.55 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
% 2.40/2.55 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
% 2.40/2.55 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
% 2.40/2.55 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
% 2.40/2.55 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
% 2.40/2.55 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom,
% 2.40/2.55 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
% 2.40/2.55 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom,
% 2.40/2.55 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
% 2.40/2.55 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
% 2.40/2.55 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
% 2.40/2.55 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0,axiom,
% 2.40/2.55 class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 2.40/2.55 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
% 2.40/2.55 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 2.40/2.55 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom,
% 2.40/2.55 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
% 2.40/2.55 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom,
% 2.40/2.55 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom,
% 2.40/2.55 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
% 2.40/2.55 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom,
% 2.40/2.55 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
% 2.40/2.55 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
% 2.40/2.55 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1,axiom,
% 2.40/2.55 class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
% 2.40/2.55 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
% 2.40/2.55 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
% 2.40/2.55 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring,axiom,
% 2.40/2.55 class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom,
% 2.40/2.55 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom,
% 2.40/2.55 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__RealVector_Ometric__space,axiom,
% 2.40/2.55 class_RealVector_Ometric__space(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom,
% 2.40/2.55 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom,
% 2.40/2.55 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__RealVector_Odist__norm,axiom,
% 2.40/2.55 class_RealVector_Odist__norm(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
% 2.40/2.55 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
% 2.40/2.55 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 2.40/2.55 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 2.40/2.55 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
% 2.40/2.55 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Int_Oring__char__0,axiom,
% 2.40/2.55 class_Int_Oring__char__0(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
% 2.40/2.55 class_Int_Onumber__ring(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_RealDef__Oreal__Int_Onumber,axiom,
% 2.40/2.55 class_Int_Onumber(tc_RealDef_Oreal) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 2.40/2.55 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
% 2.40/2.55 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
% 2.40/2.55 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
% 2.40/2.55 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
% 2.40/2.55 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
% 2.40/2.55 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 2.40/2.55 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
% 2.40/2.55 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 2.40/2.55 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom,
% 2.40/2.55 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
% 2.40/2.55 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
% 2.40/2.55 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom,
% 2.40/2.55 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1,axiom,
% 2.40/2.55 class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
% 2.40/2.55 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
% 2.40/2.55 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom,
% 2.40/2.55 class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
% 2.40/2.55 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
% 2.40/2.55 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__RealVector_Ometric__space,axiom,
% 2.40/2.55 class_RealVector_Ometric__space(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
% 2.40/2.55 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
% 2.40/2.55 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__RealVector_Odist__norm,axiom,
% 2.40/2.55 class_RealVector_Odist__norm(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
% 2.40/2.55 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
% 2.40/2.55 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__Int_Oring__char__0,axiom,
% 2.40/2.55 class_Int_Oring__char__0(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 2.40/2.55 class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Complex__Ocomplex__Int_Onumber,axiom,
% 2.40/2.55 class_Int_Onumber(tc_Complex_Ocomplex) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 2.40/2.55 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 2.40/2.55 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 2.40/2.55 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 2.40/2.55 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 2.40/2.55 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 2.40/2.55 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add,axiom,
% 2.40/2.55 ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add,axiom,
% 2.40/2.55 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring__abs,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult,axiom,
% 2.40/2.55 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult,axiom,
% 2.40/2.55 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add,axiom,
% 2.40/2.55 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add,axiom,
% 2.40/2.55 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add,axiom,
% 2.40/2.55 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult,axiom,
% 2.40/2.55 ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add,axiom,
% 2.40/2.55 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add,axiom,
% 2.40/2.55 ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oabs__if,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom,axiom,
% 2.40/2.55 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Orderings_Opreorder,axiom,
% 2.40/2.55 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Orderings_Olinorder,axiom,
% 2.40/2.55 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Orderings_Oorder,axiom,
% 2.40/2.55 ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Int_Oring__char__0,axiom,
% 2.40/2.55 ( class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring,axiom,
% 2.40/2.55 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 cnf(clsarity_Polynomial__Opoly__Int_Onumber,axiom,
% 2.40/2.55 ( class_Int_Onumber(tc_Polynomial_Opoly(T_1))
% 2.40/2.55 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 2.40/2.55
% 2.40/2.55 %------------------------------------------------------------------------------
% 2.40/2.55 %-------------------------------------------
% 2.40/2.55 % Proof found
% 2.40/2.55 % SZS status Theorem for theBenchmark
% 2.40/2.55 % SZS output start Proof
% 2.40/2.56 %ClaNum:717(EqnAxiom:103)
% 2.40/2.56 %VarNum:3680(SingletonVarNum:1164)
% 2.40/2.56 %MaxLitNum:6
% 2.40/2.56 %MaxfuncDepth:4
% 2.40/2.56 %SharedTerms:182
% 2.40/2.56 %goalClause: 268
% 2.40/2.56 %singleGoalClaCount:1
% 2.40/2.56 [104]P1(a1)
% 2.40/2.56 [105]P1(a2)
% 2.40/2.56 [106]P24(a1)
% 2.40/2.56 [107]P24(a2)
% 2.40/2.56 [108]P25(a1)
% 2.40/2.56 [109]P25(a2)
% 2.40/2.56 [110]P26(a1)
% 2.40/2.56 [111]P26(a2)
% 2.40/2.56 [112]P29(a1)
% 2.40/2.56 [113]P29(a2)
% 2.40/2.56 [114]P27(a1)
% 2.40/2.56 [115]P27(a2)
% 2.40/2.56 [116]P30(a1)
% 2.40/2.56 [117]P30(a3)
% 2.40/2.56 [118]P30(a2)
% 2.40/2.56 [119]P2(a1)
% 2.40/2.56 [120]P2(a3)
% 2.40/2.56 [121]P2(a2)
% 2.40/2.56 [122]P43(a1)
% 2.40/2.56 [123]P43(a3)
% 2.40/2.56 [124]P43(a2)
% 2.40/2.56 [125]P3(a1)
% 2.40/2.56 [126]P3(a3)
% 2.40/2.56 [127]P3(a2)
% 2.40/2.56 [128]P15(a1)
% 2.40/2.56 [129]P15(a3)
% 2.40/2.56 [130]P15(a2)
% 2.40/2.56 [131]P31(a1)
% 2.40/2.56 [132]P31(a3)
% 2.40/2.56 [133]P33(a1)
% 2.40/2.56 [134]P33(a3)
% 2.40/2.56 [135]P33(a2)
% 2.40/2.56 [136]P20(a1)
% 2.40/2.56 [137]P20(a2)
% 2.40/2.56 [138]P50(a1)
% 2.40/2.56 [139]P50(a2)
% 2.40/2.56 [140]P28(a1)
% 2.40/2.56 [141]P28(a2)
% 2.40/2.56 [142]P7(a1)
% 2.40/2.56 [143]P7(a3)
% 2.40/2.56 [144]P7(a2)
% 2.40/2.56 [145]P51(a1)
% 2.40/2.56 [146]P51(a3)
% 2.40/2.56 [147]P51(a2)
% 2.40/2.56 [148]P4(a1)
% 2.40/2.56 [149]P4(a3)
% 2.40/2.56 [150]P4(a2)
% 2.40/2.56 [151]P8(a1)
% 2.40/2.56 [152]P8(a3)
% 2.40/2.56 [153]P8(a2)
% 2.40/2.56 [154]P9(a1)
% 2.40/2.56 [155]P9(a3)
% 2.40/2.56 [156]P9(a2)
% 2.40/2.56 [157]P16(a1)
% 2.40/2.56 [158]P16(a2)
% 2.40/2.56 [159]P34(a1)
% 2.40/2.56 [160]P34(a3)
% 2.40/2.56 [161]P44(a1)
% 2.40/2.56 [162]P44(a2)
% 2.40/2.56 [163]P35(a1)
% 2.40/2.56 [164]P35(a3)
% 2.40/2.56 [165]P61(a1)
% 2.40/2.56 [166]P61(a3)
% 2.40/2.56 [167]P61(a2)
% 2.40/2.56 [168]P19(a1)
% 2.40/2.56 [169]P19(a2)
% 2.40/2.56 [170]P23(a1)
% 2.40/2.56 [171]P23(a2)
% 2.40/2.56 [172]P52(a1)
% 2.40/2.56 [173]P52(a2)
% 2.40/2.56 [174]P53(a1)
% 2.40/2.56 [175]P53(a2)
% 2.40/2.56 [176]P45(a1)
% 2.40/2.56 [177]P45(a2)
% 2.40/2.56 [178]P46(a1)
% 2.40/2.56 [179]P46(a2)
% 2.40/2.56 [180]P54(a1)
% 2.40/2.56 [181]P54(a2)
% 2.40/2.56 [182]P55(a1)
% 2.40/2.56 [183]P55(a2)
% 2.40/2.56 [184]P56(a1)
% 2.40/2.56 [185]P56(a2)
% 2.40/2.56 [186]P58(a1)
% 2.40/2.56 [187]P58(a3)
% 2.40/2.56 [188]P58(a2)
% 2.40/2.56 [189]P47(a1)
% 2.40/2.56 [190]P47(a3)
% 2.40/2.56 [191]P47(a2)
% 2.40/2.56 [192]P36(a1)
% 2.40/2.56 [193]P36(a3)
% 2.40/2.56 [194]P39(a1)
% 2.40/2.56 [195]P39(a3)
% 2.40/2.56 [196]P39(a2)
% 2.40/2.56 [197]P48(a1)
% 2.40/2.56 [198]P48(a3)
% 2.40/2.56 [199]P48(a2)
% 2.40/2.56 [200]P21(a1)
% 2.40/2.56 [201]P21(a3)
% 2.40/2.56 [202]P21(a2)
% 2.40/2.56 [203]P17(a1)
% 2.40/2.56 [204]P17(a3)
% 2.40/2.56 [205]P17(a2)
% 2.40/2.56 [206]P22(a1)
% 2.40/2.56 [207]P22(a2)
% 2.40/2.56 [208]P18(a1)
% 2.40/2.56 [209]P18(a3)
% 2.40/2.56 [210]P18(a2)
% 2.40/2.56 [211]P57(a1)
% 2.40/2.56 [212]P57(a2)
% 2.40/2.56 [213]P59(a1)
% 2.40/2.56 [214]P59(a2)
% 2.40/2.56 [215]P10(a1)
% 2.40/2.56 [216]P10(a3)
% 2.40/2.56 [217]P10(a2)
% 2.40/2.56 [218]P13(a1)
% 2.40/2.56 [219]P13(a3)
% 2.40/2.56 [220]P13(a2)
% 2.40/2.56 [221]P37(a1)
% 2.40/2.56 [222]P37(a3)
% 2.40/2.56 [223]P40(a1)
% 2.40/2.56 [224]P40(a3)
% 2.40/2.56 [225]P40(a2)
% 2.40/2.56 [226]P41(a1)
% 2.40/2.56 [227]P41(a2)
% 2.40/2.56 [228]P49(a1)
% 2.40/2.56 [229]P49(a2)
% 2.40/2.56 [230]P60(a1)
% 2.40/2.56 [231]P60(a3)
% 2.40/2.56 [232]P60(a2)
% 2.40/2.56 [233]P32(a1)
% 2.40/2.56 [234]P32(a3)
% 2.40/2.56 [235]P38(a1)
% 2.40/2.56 [236]P38(a3)
% 2.40/2.56 [237]P11(a1)
% 2.40/2.56 [238]P11(a3)
% 2.40/2.56 [239]P11(a2)
% 2.40/2.56 [240]P14(a1)
% 2.40/2.56 [241]P14(a3)
% 2.40/2.56 [242]P14(a2)
% 2.40/2.56 [243]P42(a1)
% 2.40/2.56 [244]P42(a3)
% 2.40/2.56 [245]P42(a2)
% 2.40/2.56 [264]~E(a24,a21)
% 2.40/2.56 [247]P6(a17,f4(a1),a1)
% 2.40/2.56 [248]P6(f7(a1),a17,a1)
% 2.40/2.56 [249]P6(f7(a1),a19,a1)
% 2.40/2.56 [250]P5(f7(a1),a17,a1)
% 2.40/2.56 [252]P6(f7(a1),f4(a1),a1)
% 2.40/2.56 [255]P6(f8(a17,a20,a1),a19,a1)
% 2.40/2.56 [256]P6(f7(a1),f22(a18,a19,a21),a1)
% 2.40/2.56 [257]P6(f7(a1),f23(a18,a19,a21),a1)
% 2.40/2.56 [265]~E(f7(a1),f4(a1))
% 2.40/2.56 [259]P6(f10(f5(a24,a21,a3),a3),a17,a1)
% 2.40/2.56 [260]P5(f10(f5(a24,a21,a3),a3),a17,a1)
% 2.40/2.56 [261]P5(f10(f5(a24,a21,a3),a3),f4(a1),a1)
% 2.40/2.56 [267]~P6(f7(a1),f8(f7(a1),f7(a1),a1),a1)
% 2.40/2.56 [263]P5(f8(f10(f5(a24,a21,a3),a3),f10(f12(a18,f5(a24,a21,a3),a3),a3),a1),f8(a17,a20,a1),a1)
% 2.40/2.56 [268]~P6(f8(f10(f5(a24,a21,a3),a3),f10(f12(a18,f5(a24,a21,a3),a3),a3),a1),a19,a1)
% 2.40/2.56 [246]P5(x2461,x2461,a1)
% 2.40/2.56 [266]~P6(x2661,x2661,a1)
% 2.40/2.56 [251]E(f8(f4(a1),x2511,a1),x2511)
% 2.40/2.56 [254]E(f8(x2541,x2542,a1),f8(x2542,x2541,a1))
% 2.40/2.56 [258]E(f10(f5(x2581,x2582,a3),a3),f11(x2581,x2582,a3))
% 2.40/2.56 [262]E(f8(f8(x2621,x2622,a1),x2623,a1),f8(x2621,f8(x2622,x2623,a1),a1))
% 2.40/2.56 [269]~P29(x2691)+P1(f16(x2691))
% 2.40/2.56 [270]~P29(x2701)+P24(f16(x2701))
% 2.40/2.56 [271]~P29(x2711)+P25(f16(x2711))
% 2.40/2.56 [272]~P29(x2721)+P26(f16(x2721))
% 2.40/2.56 [273]~P29(x2731)+P29(f16(x2731))
% 2.40/2.56 [274]~P29(x2741)+P27(f16(x2741))
% 2.40/2.56 [275]~P30(x2751)+P30(f16(x2751))
% 2.40/2.56 [276]~P2(x2761)+P2(f16(x2761))
% 2.40/2.56 [277]~P43(x2771)+P43(f16(x2771))
% 2.40/2.56 [278]~P42(x2781)+P3(f16(x2781))
% 2.40/2.56 [279]~P2(x2791)+P15(f16(x2791))
% 2.40/2.56 [280]~P33(x2801)+P33(f16(x2801))
% 2.40/2.56 [281]~P29(x2811)+P20(f16(x2811))
% 2.40/2.56 [282]~P29(x2821)+P50(f16(x2821))
% 2.40/2.56 [283]~P29(x2831)+P28(f16(x2831))
% 2.40/2.56 [284]~P29(x2841)+P7(f16(x2841))
% 2.40/2.56 [285]~P33(x2851)+P51(f16(x2851))
% 2.40/2.56 [286]~P42(x2861)+P4(f16(x2861))
% 2.40/2.56 [287]~P2(x2871)+P8(f16(x2871))
% 2.40/2.56 [288]~P9(x2881)+P9(f16(x2881))
% 2.40/2.56 [289]~P30(x2891)+P61(f16(x2891))
% 2.40/2.56 [290]~P29(x2901)+P23(f16(x2901))
% 2.40/2.56 [291]~P29(x2911)+P52(f16(x2911))
% 2.40/2.56 [292]~P29(x2921)+P53(f16(x2921))
% 2.40/2.56 [293]~P29(x2931)+P45(f16(x2931))
% 2.40/2.56 [294]~P29(x2941)+P46(f16(x2941))
% 2.40/2.56 [295]~P29(x2951)+P54(f16(x2951))
% 2.40/2.56 [296]~P29(x2961)+P55(f16(x2961))
% 2.40/2.56 [297]~P29(x2971)+P56(f16(x2971))
% 2.40/2.56 [298]~P43(x2981)+P58(f16(x2981))
% 2.40/2.56 [299]~P33(x2991)+P47(f16(x2991))
% 2.40/2.56 [300]~P33(x3001)+P39(f16(x3001))
% 2.40/2.56 [301]~P43(x3011)+P48(f16(x3011))
% 2.40/2.56 [302]~P30(x3021)+P21(f16(x3021))
% 2.40/2.56 [303]~P30(x3031)+P17(f16(x3031))
% 2.40/2.56 [304]~P29(x3041)+P22(f16(x3041))
% 2.40/2.56 [305]~P9(x3051)+P18(f16(x3051))
% 2.40/2.56 [306]~P29(x3061)+P57(f16(x3061))
% 2.40/2.56 [307]~P29(x3071)+P59(f16(x3071))
% 2.40/2.56 [308]~P14(x3081)+P10(f16(x3081))
% 2.40/2.56 [309]~P14(x3091)+P13(f16(x3091))
% 2.40/2.56 [310]~P40(x3101)+P40(f16(x3101))
% 2.40/2.56 [311]~P29(x3111)+P41(f16(x3111))
% 2.40/2.56 [312]~P29(x3121)+P49(f16(x3121))
% 2.40/2.56 [313]~P40(x3131)+P60(f16(x3131))
% 2.40/2.56 [314]~P33(x3141)+P11(f16(x3141))
% 2.40/2.56 [315]~P14(x3151)+P14(f16(x3151))
% 2.40/2.56 [316]~P42(x3161)+P42(f16(x3161))
% 2.40/2.56 [318]~P61(x3181)+~E(f7(x3181),f4(x3181))
% 2.40/2.56 [366]~P53(x3661)+P6(f7(x3661),f4(x3661),x3661)
% 2.40/2.56 [367]~P53(x3671)+P5(f7(x3671),f4(x3671),x3671)
% 2.40/2.56 [392]~P53(x3921)+~P6(f4(x3921),f7(x3921),x3921)
% 2.40/2.56 [393]~P53(x3931)+~P5(f4(x3931),f7(x3931),x3931)
% 2.40/2.56 [431]E(x4311,f7(a1))+P6(f7(a1),f8(x4311,x4311,a1),a1)
% 2.40/2.56 [319]~P35(x3191)+E(f15(f7(a1),x3191),f7(x3191))
% 2.40/2.56 [320]~P35(x3201)+E(f15(f4(a1),x3201),f4(x3201))
% 2.40/2.56 [321]~P34(x3211)+E(f10(f7(x3211),x3211),f7(a1))
% 2.40/2.56 [322]~P37(x3221)+E(f10(f4(x3221),x3221),f4(a1))
% 2.40/2.56 [323]~P20(x3231)+E(f6(f7(x3231),x3231),f7(x3231))
% 2.40/2.56 [324]~P29(x3241)+E(f6(f4(x3241),x3241),f4(x3241))
% 2.40/2.56 [369]~P16(x3691)+E(f9(f7(x3691),f7(x3691),x3691),f7(x3691))
% 2.40/2.56 [381]~P34(x3811)+P5(f10(f7(x3811),x3811),f7(a1),a1)
% 2.40/2.56 [385]~P20(x3851)+P5(f6(f7(x3851),x3851),f7(x3851),x3851)
% 2.40/2.56 [429]~P34(x4291)+~P6(f7(a1),f10(f7(x4291),x4291),a1)
% 2.40/2.56 [430]~P20(x4301)+~P6(f7(x4301),f6(f7(x4301),x4301),x4301)
% 2.40/2.56 [464]~P53(x4641)+P6(f7(x4641),f9(f4(x4641),f4(x4641),x4641),x4641)
% 2.40/2.56 [503]~P50(x5031)+E(f9(f8(f7(x5031),f7(x5031),x5031),f8(f7(x5031),f7(x5031),x5031),x5031),f7(x5031))
% 2.40/2.56 [692]~P50(x6921)+P5(f9(f8(f7(x6921),f7(x6921),x6921),f8(f7(x6921),f7(x6921),x6921),x6921),f7(x6921),x6921)
% 2.40/2.56 [705]~P50(x7051)+~P6(f7(x7051),f9(f8(f7(x7051),f7(x7051),x7051),f8(f7(x7051),f7(x7051),x7051),x7051),x7051)
% 2.40/2.56 [332]~P25(x3322)+P5(x3321,x3321,x3322)
% 2.40/2.56 [333]~P26(x3332)+P5(x3331,x3331,x3332)
% 2.40/2.56 [374]~P6(x3742,x3742,x3741)+~P25(x3741)
% 2.40/2.56 [375]~P6(x3752,x3752,x3751)+~P26(x3751)
% 2.40/2.56 [376]~P6(x3762,x3762,x3761)+~P27(x3761)
% 2.40/2.56 [386]P5(x3862,x3861,a1)+P5(x3861,x3862,a1)
% 2.40/2.56 [413]~P6(x4131,x4132,a1)+P5(x4131,x4132,a1)
% 2.40/2.56 [334]~P12(x3342)+E(f8(x3341,x3341,x3342),x3341)
% 2.40/2.56 [335]~P31(x3352)+E(f11(x3351,x3351,x3352),f7(a1))
% 2.40/2.56 [336]~P9(x3362)+E(f5(x3361,x3361,x3362),f7(x3362))
% 2.40/2.56 [338]~P18(x3382)+E(f5(x3381,x3381,x3382),f7(x3382))
% 2.40/2.56 [371]~P20(x3712)+P5(x3711,f6(x3711,x3712),x3712)
% 2.40/2.56 [372]~P34(x3722)+P5(f7(a1),f10(x3721,x3722),a1)
% 2.40/2.56 [377]~P20(x3771)+P5(f7(x3771),f6(x3772,x3771),x3771)
% 2.40/2.56 [412]~P34(x4121)+~P6(f10(x4122,x4121),f7(a1),a1)
% 2.40/2.56 [416]~P20(x4161)+~P6(f6(x4162,x4161),f7(x4161),x4161)
% 2.40/2.56 [437]~P31(x4372)+P5(f11(x4371,x4371,x4372),f7(a1),a1)
% 2.40/2.56 [441]~P50(x4411)+P5(f7(x4411),f8(x4412,x4412,x4411),x4411)
% 2.40/2.56 [485]~P31(x4851)+~P6(f7(a1),f11(x4852,x4852,x4851),a1)
% 2.40/2.56 [493]~P50(x4931)+~P6(f8(x4932,x4932,x4931),f7(x4931),x4931)
% 2.40/2.56 [331]~P20(x3312)+E(f6(f6(x3311,x3312),x3312),f6(x3311,x3312))
% 2.40/2.56 [339]~P30(x3392)+E(f9(x3391,f7(x3392),x3392),x3391)
% 2.40/2.56 [340]~P2(x3402)+E(f9(x3401,f7(x3402),x3402),x3401)
% 2.40/2.56 [341]~P15(x3412)+E(f9(x3411,f7(x3412),x3412),x3411)
% 2.40/2.56 [342]~P30(x3422)+E(f8(x3421,f4(x3422),x3422),x3421)
% 2.40/2.56 [343]~P21(x3432)+E(f8(x3431,f4(x3432),x3432),x3431)
% 2.40/2.56 [344]~P18(x3442)+E(f5(x3441,f7(x3442),x3442),x3441)
% 2.40/2.56 [346]~P30(x3461)+E(f9(f7(x3461),x3462,x3461),x3462)
% 2.40/2.56 [347]~P2(x3471)+E(f9(f7(x3471),x3472,x3471),x3472)
% 2.40/2.56 [348]~P15(x3481)+E(f9(f7(x3481),x3482,x3481),x3482)
% 2.40/2.56 [349]~P30(x3491)+E(f14(f4(x3491),x3492,x3491),x3492)
% 2.40/2.56 [351]~P30(x3511)+E(f8(f4(x3511),x3512,x3511),x3512)
% 2.40/2.56 [352]~P21(x3521)+E(f8(f4(x3521),x3522,x3521),x3522)
% 2.40/2.56 [353]~P17(x3531)+E(f8(f4(x3531),x3532,x3531),x3532)
% 2.40/2.56 [354]~P30(x3542)+E(f8(x3541,f7(x3542),x3542),f7(x3542))
% 2.40/2.56 [355]~P58(x3552)+E(f8(x3551,f7(x3552),x3552),f7(x3552))
% 2.40/2.56 [356]~P47(x3562)+E(f8(x3561,f7(x3562),x3562),f7(x3562))
% 2.40/2.56 [358]~P36(x3582)+E(f8(x3581,f7(x3582),x3582),f7(x3582))
% 2.40/2.56 [360]~P30(x3601)+E(f8(f7(x3601),x3602,x3601),f7(x3601))
% 2.40/2.56 [361]~P58(x3611)+E(f8(f7(x3611),x3612,x3611),f7(x3611))
% 2.40/2.56 [362]~P47(x3621)+E(f8(f7(x3621),x3622,x3621),f7(x3621))
% 2.40/2.56 [364]~P36(x3641)+E(f8(f7(x3641),x3642,x3641),f7(x3641))
% 2.40/2.56 [432]~P29(x4322)+E(f8(f6(x4321,x4322),f6(x4321,x4322),x4322),f8(x4321,x4321,x4322))
% 2.40/2.56 [455]~P53(x4552)+P6(x4551,f9(x4551,f4(x4552),x4552),x4552)
% 2.40/2.56 [480]~P30(x4802)+E(f9(x4801,x4801,x4802),f8(f9(f4(x4802),f4(x4802),x4802),x4801,x4802))
% 2.40/2.56 [395]~P30(x3953)+E(f9(x3951,x3952,x3953),f9(x3952,x3951,x3953))
% 2.40/2.56 [396]~P2(x3963)+E(f9(x3961,x3962,x3963),f9(x3962,x3961,x3963))
% 2.40/2.56 [397]~P31(x3973)+E(f11(x3971,x3972,x3973),f11(x3972,x3971,x3973))
% 2.40/2.56 [399]~P30(x3993)+E(f8(x3991,x3992,x3993),f8(x3992,x3991,x3993))
% 2.40/2.56 [436]~P31(x4363)+P5(f7(a1),f11(x4361,x4362,x4363),a1)
% 2.40/2.56 [486]~P31(x4861)+~P6(f11(x4862,x4863,x4861),f7(a1),a1)
% 2.40/2.56 [433]~P18(x4333)+E(f9(f5(x4331,x4332,x4333),x4332,x4333),x4331)
% 2.40/2.56 [434]~P18(x4343)+E(f5(f9(x4341,x4342,x4343),x4342,x4343),x4341)
% 2.40/2.56 [459]~P32(x4593)+E(f10(f5(x4591,x4592,x4593),x4593),f11(x4591,x4592,x4593))
% 2.40/2.56 [467]~P12(x4673)+E(f8(x4671,f8(x4671,x4672,x4673),x4673),f8(x4671,x4672,x4673))
% 2.40/2.56 [469]~P35(x4692)+E(f8(f15(x4691,x4692),f15(x4693,x4692),x4692),f15(f8(x4691,x4693,a1),x4692))
% 2.40/2.56 [470]~P38(x4702)+E(f8(f10(x4701,x4702),f10(x4703,x4702),a1),f10(f8(x4701,x4703,x4702),x4702))
% 2.40/2.56 [471]~P29(x4712)+E(f8(f6(x4711,x4712),f6(x4713,x4712),x4712),f6(f8(x4711,x4713,x4712),x4712))
% 2.40/2.56 [481]~P20(x4813)+E(f6(f5(x4811,x4812,x4813),x4813),f6(f5(x4812,x4811,x4813),x4813))
% 2.40/2.56 [482]~P34(x4823)+E(f10(f5(x4821,x4822,x4823),x4823),f10(f5(x4822,x4821,x4823),x4823))
% 2.40/2.56 [640]~P36(x6403)+P5(f10(f8(x6401,x6402,x6403),x6403),f8(f10(x6401,x6403),f10(x6402,x6403),a1),a1)
% 2.40/2.56 [642]~P20(x6423)+P5(f6(f9(x6421,x6422,x6423),x6423),f9(f6(x6421,x6423),f6(x6422,x6423),x6423),x6423)
% 2.40/2.56 [643]~P44(x6433)+P5(f6(f8(x6431,x6432,x6433),x6433),f8(f6(x6431,x6433),f6(x6432,x6433),x6433),x6433)
% 2.40/2.56 [644]~P20(x6443)+P5(f6(f5(x6441,x6442,x6443),x6443),f9(f6(x6441,x6443),f6(x6442,x6443),x6443),x6443)
% 2.40/2.56 [645]~P20(x6452)+P5(f5(f6(x6451,x6452),f6(x6453,x6452),x6452),f6(f5(x6451,x6453,x6452),x6452),x6452)
% 2.40/2.56 [677]~P50(x6771)+P5(f7(x6771),f9(f8(x6772,x6772,x6771),f8(x6773,x6773,x6771),x6771),x6771)
% 2.40/2.56 [700]~P50(x7001)+~P6(f9(f8(x7002,x7002,x7001),f8(x7003,x7003,x7001),x7001),f7(x7001),x7001)
% 2.40/2.56 [527]~P20(x5272)+E(f6(f9(f6(x5271,x5272),f6(x5273,x5272),x5272),x5272),f9(f6(x5271,x5272),f6(x5273,x5272),x5272))
% 2.40/2.56 [528]~P30(x5283)+E(f9(x5281,f8(x5282,x5281,x5283),x5283),f8(f9(x5282,f4(x5283),x5283),x5281,x5283))
% 2.40/2.56 [529]~P30(x5293)+E(f9(f8(x5291,x5292,x5293),x5292,x5293),f8(f9(x5291,f4(x5293),x5293),x5292,x5293))
% 2.40/2.56 [693]~P20(x6932)+P5(f6(f5(f6(x6931,x6932),f6(x6933,x6932),x6932),x6932),f6(f5(x6931,x6933,x6932),x6932),x6932)
% 2.40/2.56 [504]~P30(x5044)+E(f9(x5041,f9(x5042,x5043,x5044),x5044),f9(x5042,f9(x5041,x5043,x5044),x5044))
% 2.40/2.56 [505]~P2(x5054)+E(f9(x5051,f9(x5052,x5053,x5054),x5054),f9(x5052,f9(x5051,x5053,x5054),x5054))
% 2.40/2.56 [506]~P9(x5064)+E(f9(x5061,f9(x5062,x5063,x5064),x5064),f9(x5062,f9(x5061,x5063,x5064),x5064))
% 2.40/2.56 [507]~P30(x5074)+E(f8(x5071,f8(x5072,x5073,x5074),x5074),f8(x5072,f8(x5071,x5073,x5074),x5074))
% 2.40/2.56 [510]~P33(x5103)+E(f14(f8(x5101,x5102,x5103),x5104,x5103),f14(x5101,f14(x5102,x5104,x5103),x5103))
% 2.40/2.56 [513]~P30(x5133)+E(f9(f9(x5131,x5132,x5133),x5134,x5133),f9(x5131,f9(x5132,x5134,x5133),x5133))
% 2.40/2.56 [514]~P2(x5143)+E(f9(f9(x5141,x5142,x5143),x5144,x5143),f9(x5141,f9(x5142,x5144,x5143),x5143))
% 2.40/2.56 [515]~P8(x5153)+E(f9(f9(x5151,x5152,x5153),x5154,x5153),f9(x5151,f9(x5152,x5154,x5153),x5153))
% 2.40/2.56 [516]~P30(x5163)+E(f8(f8(x5161,x5162,x5163),x5164,x5163),f8(x5161,f8(x5162,x5164,x5163),x5163))
% 2.40/2.56 [517]~P11(x5173)+E(f8(f8(x5171,x5172,x5173),x5174,x5173),f8(x5171,f8(x5172,x5174,x5173),x5173))
% 2.40/2.56 [518]~P33(x5183)+E(f12(f14(x5181,x5182,x5183),x5184,x5183),f8(x5181,f12(x5182,x5184,x5183),x5183))
% 2.40/2.56 [519]~P30(x5193)+E(f9(f9(x5191,x5192,x5193),x5194,x5193),f9(f9(x5191,x5194,x5193),x5192,x5193))
% 2.40/2.56 [520]~P30(x5203)+E(f8(f8(x5201,x5202,x5203),x5204,x5203),f8(f8(x5201,x5204,x5203),x5202,x5203))
% 2.40/2.56 [592]~P30(x5923)+E(f9(f8(x5921,x5922,x5923),f8(x5921,x5924,x5923),x5923),f8(x5921,f9(x5922,x5924,x5923),x5923))
% 2.40/2.56 [594]~P36(x5943)+E(f9(f8(x5941,x5942,x5943),f8(x5941,x5944,x5943),x5943),f8(x5941,f9(x5942,x5944,x5943),x5943))
% 2.40/2.56 [596]~P36(x5963)+E(f5(f8(x5961,x5962,x5963),f8(x5961,x5964,x5963),x5963),f8(x5961,f5(x5962,x5964,x5963),x5963))
% 2.40/2.56 [599]~P36(x5993)+E(f9(f8(x5991,x5992,x5993),f8(x5994,x5992,x5993),x5993),f8(f9(x5991,x5994,x5993),x5992,x5993))
% 2.40/2.56 [600]~P39(x6003)+E(f9(f8(x6001,x6002,x6003),f8(x6004,x6002,x6003),x6003),f8(f9(x6001,x6004,x6003),x6002,x6003))
% 2.40/2.56 [602]~P36(x6023)+E(f5(f8(x6021,x6022,x6023),f8(x6024,x6022,x6023),x6023),f8(f5(x6021,x6024,x6023),x6022,x6023))
% 2.40/2.56 [603]~P30(x6033)+E(f9(f8(x6031,x6032,x6033),f8(x6034,x6032,x6033),x6033),f8(f9(x6031,x6034,x6033),x6032,x6033))
% 2.40/2.56 [606]~P40(x6063)+E(f5(f14(x6061,x6062,x6063),f14(x6064,x6062,x6063),f16(x6063)),f14(f5(x6061,x6064,x6063),x6062,x6063))
% 2.40/2.56 [530]~P33(x5304)+E(f14(x5301,f8(x5302,x5303,f16(x5304)),x5304),f8(x5302,f14(x5301,x5303,x5304),f16(x5304)))
% 2.40/2.56 [531]~P33(x5314)+E(f14(x5311,f8(x5312,x5313,f16(x5314)),x5314),f8(f14(x5311,x5312,x5314),x5313,f16(x5314)))
% 2.40/2.56 [611]~P33(x6113)+E(f8(f12(x6111,x6112,x6113),f12(x6114,x6112,x6113),x6113),f12(f8(x6111,x6114,f16(x6113)),x6112,x6113))
% 2.40/2.56 [612]~P40(x6123)+E(f5(f12(x6121,x6122,x6123),f12(x6124,x6122,x6123),x6123),f12(f5(x6121,x6124,f16(x6123)),x6122,x6123))
% 2.40/2.56 [613]~P40(x6133)+E(f5(f14(x6131,x6132,x6133),f14(x6131,x6134,x6133),f16(x6133)),f14(x6131,f5(x6132,x6134,f16(x6133)),x6133))
% 2.40/2.56 [649]~P30(x6493)+E(f9(f9(x6491,x6492,x6493),f9(x6494,x6495,x6493),x6493),f9(f9(x6491,x6494,x6493),f9(x6492,x6495,x6493),x6493))
% 2.40/2.56 [650]~P30(x6503)+E(f8(f8(x6501,x6502,x6503),f8(x6504,x6505,x6503),x6503),f8(f8(x6501,x6504,x6503),f8(x6502,x6505,x6503),x6503))
% 2.40/2.56 [651]~P9(x6513)+E(f9(f5(x6511,x6512,x6513),f5(x6514,x6515,x6513),x6513),f5(f9(x6511,x6514,x6513),f9(x6512,x6515,x6513),x6513))
% 2.40/2.56 [697]~P51(x6973)+E(f9(f8(x6971,x6972,x6973),f9(f8(x6974,x6972,x6973),x6975,x6973),x6973),f9(f8(f9(x6971,x6974,x6973),x6972,x6973),x6975,x6973))
% 2.40/2.56 [714]~P20(x7143)+P5(f6(f5(f9(x7141,x7142,x7143),f9(x7144,x7145,x7143),x7143),x7143),f9(f6(f5(x7141,x7144,x7143),x7143),f6(f5(x7142,x7145,x7143),x7143),x7143),x7143)
% 2.40/2.56 [715]~P36(x7153)+E(f9(f9(f8(f5(x7151,x7152,x7153),f5(x7154,x7155,x7153),x7153),f8(f5(x7151,x7152,x7153),x7155,x7153),x7153),f8(x7152,f5(x7154,x7155,x7153),x7153),x7153),f5(f8(x7151,x7154,x7153),f8(x7152,x7155,x7153),x7153))
% 2.40/2.56 [704]~P60(x7043)+E(f9(f8(x7041,x7042,x7043),f9(f8(f5(x7044,x7041,x7043),x7042,x7043),x7045,x7043),x7043),f9(f8(x7044,x7042,x7043),x7045,x7043))
% 2.40/2.56 [460]~P28(x4601)+~P5(f7(x4601),f7(x4601),x4601)+E(f9(f7(x4601),f7(x4601),x4601),f7(x4601))
% 2.40/2.56 [716]~P6(f10(f5(x7161,a21,a3),a3),f22(a18,a19,a21),a1)+~P6(f7(a1),f10(f5(x7161,a21,a3),a3),a1)+P6(f10(f5(f12(a18,f5(x7161,a21,a3),a3),f12(a18,f5(a21,a21,a3),a3),a3),a3),a19,a1)
% 2.40/2.56 [717]~P6(f10(f5(x7171,a21,a3),a3),f23(a18,a19,a21),a1)+~P6(f7(a1),f10(f5(x7171,a21,a3),a3),a1)+P6(f10(f5(f12(a18,f5(x7171,a21,a3),a3),f12(a18,f5(a21,a21,a3),a3),a3),a3),a19,a1)
% 2.40/2.56 [414]E(x4141,x4142)+P6(x4141,x4142,a1)+~P5(x4141,x4142,a1)
% 2.40/2.56 [435]E(x4351,x4352)+~P5(x4352,x4351,a1)+~P5(x4351,x4352,a1)
% 2.40/2.56 [326]~P34(x3262)+E(x3261,f7(x3262))+~E(f10(x3261,x3262),f7(a1))
% 2.40/2.56 [327]~P35(x3272)+~E(f15(x3271,x3272),f7(x3272))+E(x3271,f7(a1))
% 2.40/2.56 [328]~P20(x3282)+~E(f6(x3281,x3282),f7(x3282))+E(x3281,f7(x3282))
% 2.40/2.56 [365]~P43(x3652)+~P3(x3652)+E(f5(x3651,x3651,x3652),f7(x3652))
% 2.40/2.56 [370]~P41(x3702)+P6(x3701,f7(x3702),x3702)+E(f6(x3701,x3702),x3701)
% 2.40/2.56 [378]~P34(x3782)+E(x3781,f7(x3782))+P6(f7(a1),f10(x3781,x3782),a1)
% 2.40/2.56 [380]~P20(x3802)+P6(f7(x3802),f6(x3801,x3802),x3802)+E(x3801,f7(x3802))
% 2.40/2.56 [384]~P16(x3842)+~E(f9(x3841,x3841,x3842),f7(x3842))+E(x3841,f7(x3842))
% 2.40/2.56 [405]~P20(x4052)+~P6(f7(x4052),x4051,x4052)+E(f6(x4051,x4052),x4051)
% 2.40/2.56 [406]~P20(x4062)+~P5(f7(x4062),x4061,x4062)+E(f6(x4061,x4062),x4061)
% 2.40/2.56 [415]~P34(x4152)+E(x4151,f7(x4152))+~P5(f10(x4151,x4152),f7(a1),a1)
% 2.40/2.56 [419]~P20(x4192)+~P5(f6(x4191,x4192),f7(x4192),x4192)+E(x4191,f7(x4192))
% 2.40/2.56 [488]~P16(x4881)+~P6(f7(x4881),x4882,x4881)+P6(f7(x4881),f9(x4882,x4882,x4881),x4881)
% 2.40/2.56 [489]~P16(x4891)+~P5(f7(x4891),x4892,x4891)+P5(f7(x4891),f9(x4892,x4892,x4891),x4891)
% 2.40/2.56 [490]~P29(x4902)+~P6(x4901,f7(x4902),x4902)+P6(f9(x4901,x4901,x4902),f7(x4902),x4902)
% 2.40/2.56 [491]~P16(x4912)+~P6(x4911,f7(x4912),x4912)+P6(f9(x4911,x4911,x4912),f7(x4912),x4912)
% 2.40/2.56 [492]~P16(x4922)+~P5(x4921,f7(x4922),x4922)+P5(f9(x4921,x4921,x4922),f7(x4922),x4922)
% 2.40/2.56 [521]~P29(x5212)+~P6(f9(x5211,x5211,x5212),f7(x5212),x5212)+P6(x5211,f7(x5212),x5212)
% 2.40/2.56 [522]~P16(x5222)+~P6(f9(x5221,x5221,x5222),f7(x5222),x5222)+P6(x5221,f7(x5222),x5222)
% 2.40/2.56 [523]~P16(x5232)+~P5(f9(x5231,x5231,x5232),f7(x5232),x5232)+P5(x5231,f7(x5232),x5232)
% 2.40/2.56 [524]~P16(x5241)+~P6(f7(x5241),f9(x5242,x5242,x5241),x5241)+P6(f7(x5241),x5242,x5241)
% 2.40/2.56 [525]~P16(x5251)+~P5(f7(x5251),f9(x5252,x5252,x5251),x5251)+P5(f7(x5251),x5252,x5251)
% 2.40/2.56 [526]~P6(f7(a1),x5262,a1)+~P6(f7(a1),x5261,a1)+P6(f7(a1),f8(x5261,x5262,a1),a1)
% 2.40/2.56 [368]~P43(x3682)+~P3(x3682)+E(f9(x3681,f7(x3682),x3682),x3681)
% 2.40/2.56 [402]P5(x4022,x4021,x4023)+~P27(x4023)+P6(x4021,x4022,x4023)
% 2.40/2.56 [404]P5(x4042,x4041,x4043)+~P27(x4043)+P5(x4041,x4042,x4043)
% 2.40/2.56 [417]~P25(x4173)+~P6(x4171,x4172,x4173)+P5(x4171,x4172,x4173)
% 2.40/2.56 [418]~P26(x4183)+~P6(x4181,x4182,x4183)+P5(x4181,x4182,x4183)
% 2.40/2.56 [443]~P6(x4433,x4432,x4431)+~P25(x4431)+~P6(x4432,x4433,x4431)
% 2.40/2.56 [444]~P5(x4443,x4442,x4441)+~P25(x4441)+~P6(x4442,x4443,x4441)
% 2.40/2.56 [445]~P6(x4453,x4452,x4451)+~P26(x4451)+~P6(x4452,x4453,x4451)
% 2.40/2.56 [446]~P6(x4463,x4462,x4461)+~P27(x4461)+~P6(x4462,x4463,x4461)
% 2.40/2.56 [448]~P5(x4483,x4482,x4481)+~P27(x4481)+~P6(x4482,x4483,x4481)
% 2.40/2.56 [466]~P5(x4661,x4663,a1)+P5(x4661,x4662,a1)+~P5(x4663,x4662,a1)
% 2.40/2.56 [329]~P35(x3293)+E(x3291,x3292)+~E(f15(x3291,x3293),f15(x3292,x3293))
% 2.40/2.56 [379]~P31(x3793)+E(x3791,x3792)+~E(f11(x3791,x3792,x3793),f7(a1))
% 2.40/2.56 [382]~P9(x3823)+E(x3821,x3822)+~E(f5(x3821,x3822,x3823),f7(x3823))
% 2.40/2.56 [383]~P18(x3833)+E(x3831,x3832)+~E(f5(x3831,x3832,x3833),f7(x3833))
% 2.40/2.56 [438]E(x4381,x4382)+~E(f8(x4383,x4381,a1),f8(x4383,x4382,a1))+E(x4383,f7(a1))
% 2.40/2.56 [439]E(x4391,x4392)+~E(f8(x4391,x4393,a1),f8(x4392,x4393,a1))+E(x4393,f7(a1))
% 2.40/2.56 [440]~P31(x4403)+E(x4401,x4402)+P6(f7(a1),f11(x4401,x4402,x4403),a1)
% 2.40/2.56 [462]~P29(x4623)+P6(x4621,x4622,x4623)+~P6(f6(x4621,x4623),x4622,x4623)
% 2.40/2.56 [463]~P20(x4633)+P5(x4631,x4632,x4633)+~P5(f6(x4631,x4633),x4632,x4633)
% 2.40/2.56 [483]~P22(x4833)+~P6(x4831,x4832,x4833)+P6(f5(x4831,x4832,x4833),f7(x4833),x4833)
% 2.40/2.56 [484]~P22(x4843)+~P5(x4841,x4842,x4843)+P5(f5(x4841,x4842,x4843),f7(x4843),x4843)
% 2.40/2.56 [487]E(x4871,x4872)+~P31(x4873)+~P5(f11(x4871,x4872,x4873),f7(a1),a1)
% 2.40/2.56 [501]~P22(x5013)+P6(x5011,x5012,x5013)+~P6(f5(x5011,x5012,x5013),f7(x5013),x5013)
% 2.40/2.56 [502]~P22(x5023)+P5(x5021,x5022,x5023)+~P5(f5(x5021,x5022,x5023),f7(x5023),x5023)
% 2.40/2.56 [588]~P6(x5881,x5883,a1)+P6(f8(x5881,x5882,a1),f8(x5883,x5882,a1),a1)+~P6(f7(a1),x5882,a1)
% 2.40/2.56 [589]~P6(x5892,x5893,a1)+P6(f8(x5891,x5892,a1),f8(x5891,x5893,a1),a1)+~P6(f7(a1),x5891,a1)
% 2.40/2.56 [590]~P5(x5901,x5903,a1)+P5(f8(x5901,x5902,a1),f8(x5903,x5902,a1),a1)+~P6(f7(a1),x5902,a1)
% 2.40/2.56 [591]~P5(x5912,x5913,a1)+P5(f8(x5911,x5912,a1),f8(x5911,x5913,a1),a1)+~P6(f7(a1),x5911,a1)
% 2.40/2.56 [660]P6(x6601,x6602,a1)+~P6(f8(x6601,x6603,a1),f8(x6602,x6603,a1),a1)+~P6(f7(a1),x6603,a1)
% 2.40/2.56 [661]P5(x6611,x6612,a1)+~P5(f8(x6613,x6611,a1),f8(x6613,x6612,a1),a1)+~P6(f7(a1),x6613,a1)
% 2.40/2.56 [662]P5(x6621,x6622,a1)+~P5(f8(x6621,x6623,a1),f8(x6622,x6623,a1),a1)+~P6(f7(a1),x6623,a1)
% 2.40/2.56 [496]~P29(x4962)+~P5(f7(x4962),x4963,x4962)+E(f8(f6(x4961,x4962),x4963,x4962),f6(f8(x4961,x4963,x4962),x4962))
% 2.40/2.56 [604]~P50(x6042)+E(x6041,f7(x6042))+~E(f9(f8(x6043,x6043,x6042),f8(x6041,x6041,x6042),x6042),f7(x6042))
% 2.40/2.56 [605]~P50(x6052)+E(x6051,f7(x6052))+~E(f9(f8(x6051,x6051,x6052),f8(x6053,x6053,x6052),x6052),f7(x6052))
% 2.40/2.56 [678]~P50(x6782)+E(x6781,f7(x6782))+P6(f7(x6782),f9(f8(x6783,x6783,x6782),f8(x6781,x6781,x6782),x6782),x6782)
% 2.40/2.56 [679]~P50(x6792)+E(x6791,f7(x6792))+P6(f7(x6792),f9(f8(x6791,x6791,x6792),f8(x6793,x6793,x6792),x6792),x6792)
% 2.40/2.56 [701]~P50(x7012)+E(x7011,f7(x7012))+~P5(f9(f8(x7013,x7013,x7012),f8(x7011,x7011,x7012),x7012),f7(x7012),x7012)
% 2.40/2.56 [702]~P50(x7022)+E(x7021,f7(x7022))+~P5(f9(f8(x7021,x7021,x7022),f8(x7023,x7023,x7022),x7022),f7(x7022),x7022)
% 2.40/2.56 [450]~P10(x4504)+E(x4501,x4502)+~E(f9(x4503,x4501,x4504),f9(x4503,x4502,x4504))
% 2.40/2.56 [451]~P13(x4514)+E(x4511,x4512)+~E(f9(x4513,x4511,x4514),f9(x4513,x4512,x4514))
% 2.40/2.56 [452]~P9(x4524)+E(x4521,x4522)+~E(f5(x4523,x4523,x4524),f5(x4521,x4522,x4524))
% 2.40/2.56 [453]~P13(x4534)+E(x4531,x4532)+~E(f9(x4531,x4533,x4534),f9(x4532,x4533,x4534))
% 2.40/2.56 [454]~P9(x4543)+E(x4541,x4542)+~E(f5(x4541,x4542,x4543),f5(x4544,x4544,x4543))
% 2.40/2.56 [538]~P1(x5383)+~P6(x5381,x5384,x5383)+P6(f9(x5381,x5382,x5383),f9(x5384,x5382,x5383),x5383)
% 2.40/2.56 [539]~P24(x5393)+~P6(x5391,x5394,x5393)+P6(f9(x5391,x5392,x5393),f9(x5394,x5392,x5393),x5393)
% 2.40/2.56 [540]~P1(x5403)+~P6(x5402,x5404,x5403)+P6(f9(x5401,x5402,x5403),f9(x5401,x5404,x5403),x5403)
% 2.40/2.56 [541]~P24(x5413)+~P6(x5412,x5414,x5413)+P6(f9(x5411,x5412,x5413),f9(x5411,x5414,x5413),x5413)
% 2.40/2.56 [542]~P1(x5423)+~P5(x5421,x5424,x5423)+P5(f9(x5421,x5422,x5423),f9(x5424,x5422,x5423),x5423)
% 2.40/2.56 [543]~P23(x5433)+~P5(x5431,x5434,x5433)+P5(f9(x5431,x5432,x5433),f9(x5434,x5432,x5433),x5433)
% 2.40/2.56 [544]~P1(x5443)+~P5(x5442,x5444,x5443)+P5(f9(x5441,x5442,x5443),f9(x5441,x5444,x5443),x5443)
% 2.40/2.56 [545]~P23(x5453)+~P5(x5452,x5454,x5453)+P5(f9(x5451,x5452,x5453),f9(x5451,x5454,x5453),x5453)
% 2.40/2.56 [636]~P1(x6363)+P6(x6361,x6362,x6363)+~P6(f9(x6364,x6361,x6363),f9(x6364,x6362,x6363),x6363)
% 2.40/2.56 [637]~P1(x6373)+P6(x6371,x6372,x6373)+~P6(f9(x6371,x6374,x6373),f9(x6372,x6374,x6373),x6373)
% 2.40/2.56 [638]~P1(x6383)+P5(x6381,x6382,x6383)+~P5(f9(x6384,x6381,x6383),f9(x6384,x6382,x6383),x6383)
% 2.40/2.56 [639]~P1(x6393)+P5(x6391,x6392,x6393)+~P5(f9(x6391,x6394,x6393),f9(x6392,x6394,x6393),x6393)
% 2.40/2.56 [635]~P19(x6354)+~P5(f9(x6351,x6353,x6354),x6352,x6354)+P5(x6351,f9(x6352,f6(x6353,x6354),x6354),x6354)
% 2.40/2.56 [657]~P43(x6573)+~P3(x6573)+E(f9(f8(x6571,x6572,x6573),f8(x6571,x6574,x6573),x6573),f9(f8(x6571,x6574,x6573),f8(x6571,x6572,x6573),x6573))
% 2.40/2.56 [680]~P29(x6804)+P6(x6801,f9(x6802,x6803,x6804),x6804)+~P6(f6(f5(x6801,x6802,x6804),x6804),x6803,x6804)
% 2.40/2.56 [681]~P29(x6813)+P6(f5(x6811,x6812,x6813),x6814,x6813)+~P6(f6(f5(x6814,x6811,x6813),x6813),x6812,x6813)
% 2.40/2.56 [663]~P51(x6632)+~P4(x6632)+E(f9(f8(f13(x6631,x6632),x6633,x6632),f8(f13(x6631,x6632),x6634,x6632),x6632),f8(f13(x6631,x6632),f9(x6633,x6634,x6632),x6632))
% 2.40/2.56 [664]~P4(x6642)+~P60(x6642)+E(f5(f8(f13(x6641,x6642),x6643,x6642),f8(f13(x6641,x6642),x6644,x6642),x6642),f8(f13(x6641,x6642),f5(x6643,x6644,x6642),x6642))
% 2.40/2.56 [665]~P51(x6653)+~P4(x6653)+E(f9(f8(x6651,f13(x6652,x6653),x6653),f8(x6654,f13(x6652,x6653),x6653),x6653),f8(f9(x6651,x6654,x6653),f13(x6652,x6653),x6653))
% 2.40/2.56 [666]~P4(x6663)+~P60(x6663)+E(f5(f8(x6661,f13(x6662,x6663),x6663),f8(x6664,f13(x6662,x6663),x6663),x6663),f8(f5(x6661,x6664,x6663),f13(x6662,x6663),x6663))
% 2.40/2.56 [581]~P9(x5813)+E(f9(x5811,x5812,x5813),x5814)+~E(f9(x5811,f9(x5815,x5812,x5813),x5813),f9(x5815,x5814,x5813))
% 2.40/2.56 [698]~P60(x6984)+~E(f9(f8(x6983,x6985,x6984),x6981,x6984),f9(f8(x6982,x6985,x6984),x6986,x6984))+E(x6981,f9(f8(f5(x6982,x6983,x6984),x6985,x6984),x6986,x6984))
% 2.40/2.56 [699]~P60(x6993)+~E(f9(f8(x6991,x6994,x6993),x6995,x6993),f9(f8(x6992,x6994,x6993),x6996,x6993))+E(f9(f8(f5(x6991,x6992,x6993),x6994,x6993),x6995,x6993),x6996)
% 2.40/2.56 [706]~P54(x7064)+~P6(f9(f8(x7063,x7065,x7064),x7061,x7064),f9(f8(x7062,x7065,x7064),x7066,x7064),x7064)+P6(x7061,f9(f8(f5(x7062,x7063,x7064),x7065,x7064),x7066,x7064),x7064)
% 2.40/2.56 [707]~P54(x7074)+~P5(f9(f8(x7073,x7075,x7074),x7071,x7074),f9(f8(x7072,x7075,x7074),x7076,x7074),x7074)+P5(x7071,f9(f8(f5(x7072,x7073,x7074),x7075,x7074),x7076,x7074),x7074)
% 2.40/2.56 [708]~P54(x7083)+~P6(f9(f8(x7081,x7084,x7083),x7085,x7083),f9(f8(x7082,x7084,x7083),x7086,x7083),x7083)+P6(f9(f8(f5(x7081,x7082,x7083),x7084,x7083),x7085,x7083),x7086,x7083)
% 2.40/2.56 [709]~P54(x7093)+~P5(f9(f8(x7091,x7094,x7093),x7095,x7093),f9(f8(x7092,x7094,x7093),x7096,x7093),x7093)+P5(f9(f8(f5(x7091,x7092,x7093),x7094,x7093),x7095,x7093),x7096,x7093)
% 2.40/2.56 [710]~P54(x7103)+P6(f9(f8(x7101,x7102,x7103),x7104,x7103),f9(f8(x7105,x7102,x7103),x7106,x7103),x7103)+~P6(x7104,f9(f8(f5(x7105,x7101,x7103),x7102,x7103),x7106,x7103),x7103)
% 2.40/2.56 [711]~P54(x7113)+P5(f9(f8(x7111,x7112,x7113),x7114,x7113),f9(f8(x7115,x7112,x7113),x7116,x7113),x7113)+~P5(x7114,f9(f8(f5(x7115,x7111,x7113),x7112,x7113),x7116,x7113),x7113)
% 2.40/2.56 [712]~P54(x7123)+P6(f9(f8(x7121,x7122,x7123),x7124,x7123),f9(f8(x7125,x7122,x7123),x7126,x7123),x7123)+~P6(f9(f8(f5(x7121,x7125,x7123),x7122,x7123),x7124,x7123),x7126,x7123)
% 2.40/2.56 [713]~P54(x7133)+P5(f9(f8(x7131,x7132,x7133),x7134,x7133),f9(f8(x7135,x7132,x7133),x7136,x7133),x7133)+~P5(f9(f8(f5(x7131,x7135,x7133),x7132,x7133),x7134,x7133),x7136,x7133)
% 2.40/2.56 [373]~P27(x3732)+~P19(x3732)+P6(x3731,f7(x3732),x3732)+E(f6(x3731,x3732),x3731)
% 2.40/2.56 [428]~P29(x4282)+~P3(x4282)+P6(f13(x4281,x4282),f7(x4282),x4282)+E(f6(f13(x4281,x4282),x4282),f13(x4281,x4282))
% 2.40/2.56 [407]P6(x4071,x4072,x4073)+~P29(x4073)+E(x4071,x4072)+P6(x4072,x4071,x4073)
% 2.40/2.56 [411]P6(x4111,x4112,x4113)+~P27(x4113)+E(x4111,x4112)+P6(x4112,x4111,x4113)
% 2.40/2.56 [425]~P26(x4253)+~P5(x4251,x4252,x4253)+E(x4251,x4252)+P6(x4251,x4252,x4253)
% 2.40/2.56 [427]~P27(x4273)+~P5(x4271,x4272,x4273)+E(x4271,x4272)+P6(x4271,x4272,x4273)
% 2.40/2.56 [458]~P5(x4582,x4581,x4583)+~P5(x4581,x4582,x4583)+E(x4581,x4582)+~P26(x4583)
% 2.40/2.56 [465]P5(x4652,x4651,x4653)+~P25(x4653)+~P5(x4651,x4652,x4653)+P6(x4651,x4652,x4653)
% 2.40/2.56 [330]~P3(x3303)+~P7(x3303)+E(x3301,x3302)+~E(f13(x3301,x3303),f13(x3302,x3303))
% 2.40/2.56 [387]~P43(x3872)+~P3(x3872)+~E(f9(x3873,x3871,x3872),x3873)+E(x3871,f7(x3872))
% 2.40/2.56 [388]~P43(x3883)+~P3(x3883)+E(x3881,x3882)+~E(f5(x3881,x3882,x3883),f7(x3883))
% 2.40/2.56 [389]~P58(x3892)+~E(f8(x3893,x3891,x3892),f7(x3892))+E(x3891,f7(x3892))+E(x3893,f7(x3892))
% 2.40/2.56 [391]~P48(x3912)+~E(f8(x3913,x3911,x3912),f7(x3912))+E(x3911,f7(x3912))+E(x3913,f7(x3912))
% 2.40/2.56 [546]~P50(x5461)+~P6(x5463,f7(x5461),x5461)+~P6(x5462,f7(x5461),x5461)+P6(f7(x5461),f8(x5462,x5463,x5461),x5461)
% 2.40/2.56 [547]~P50(x5471)+~P5(x5473,f7(x5471),x5471)+~P5(x5472,f7(x5471),x5471)+P5(f7(x5471),f8(x5472,x5473,x5471),x5471)
% 2.40/2.56 [549]~P54(x5491)+~P5(x5493,f7(x5491),x5491)+~P5(x5492,f7(x5491),x5491)+P5(f7(x5491),f8(x5492,x5493,x5491),x5491)
% 2.40/2.56 [550]~P28(x5501)+~P6(f7(x5501),x5503,x5501)+~P6(f7(x5501),x5502,x5501)+P6(f7(x5501),f9(x5502,x5503,x5501),x5501)
% 2.40/2.56 [551]~P28(x5511)+~P6(f7(x5511),x5513,x5511)+~P5(f7(x5511),x5512,x5511)+P6(f7(x5511),f9(x5512,x5513,x5511),x5511)
% 2.40/2.56 [552]~P28(x5521)+~P6(f7(x5521),x5522,x5521)+~P5(f7(x5521),x5523,x5521)+P6(f7(x5521),f9(x5522,x5523,x5521),x5521)
% 2.40/2.56 [553]~P55(x5531)+~P6(f7(x5531),x5533,x5531)+~P6(f7(x5531),x5532,x5531)+P6(f7(x5531),f8(x5532,x5533,x5531),x5531)
% 2.40/2.56 [554]~P53(x5541)+~P6(f4(x5541),x5543,x5541)+~P6(f4(x5541),x5542,x5541)+P6(f4(x5541),f8(x5542,x5543,x5541),x5541)
% 2.40/2.56 [555]~P28(x5551)+~P5(f7(x5551),x5553,x5551)+~P5(f7(x5551),x5552,x5551)+P5(f7(x5551),f9(x5552,x5553,x5551),x5551)
% 2.40/2.56 [556]~P50(x5561)+~P5(f7(x5561),x5563,x5561)+~P5(f7(x5561),x5562,x5561)+P5(f7(x5561),f8(x5562,x5563,x5561),x5561)
% 2.40/2.56 [557]~P54(x5571)+~P5(f7(x5571),x5573,x5571)+~P5(f7(x5571),x5572,x5571)+P5(f7(x5571),f8(x5572,x5573,x5571),x5571)
% 2.40/2.56 [558]~P57(x5581)+~P5(f7(x5581),x5583,x5581)+~P5(f7(x5581),x5582,x5581)+P5(f7(x5581),f8(x5582,x5583,x5581),x5581)
% 2.40/2.56 [559]~P28(x5593)+~P6(x5592,f7(x5593),x5593)+~P6(x5591,f7(x5593),x5593)+P6(f9(x5591,x5592,x5593),f7(x5593),x5593)
% 2.40/2.56 [560]~P28(x5603)+~P6(x5602,f7(x5603),x5603)+~P5(x5601,f7(x5603),x5603)+P6(f9(x5601,x5602,x5603),f7(x5603),x5603)
% 2.40/2.56 [561]~P28(x5613)+~P6(x5611,f7(x5613),x5613)+~P5(x5612,f7(x5613),x5613)+P6(f9(x5611,x5612,x5613),f7(x5613),x5613)
% 2.40/2.56 [562]~P28(x5623)+~P5(x5622,f7(x5623),x5623)+~P5(x5621,f7(x5623),x5623)+P5(f9(x5621,x5622,x5623),f7(x5623),x5623)
% 2.40/2.56 [563]~P55(x5633)+~P6(x5632,f7(x5633),x5633)+~P6(f7(x5633),x5631,x5633)+P6(f8(x5631,x5632,x5633),f7(x5633),x5633)
% 2.40/2.56 [565]~P55(x5653)+~P6(x5651,f7(x5653),x5653)+~P6(f7(x5653),x5652,x5653)+P6(f8(x5651,x5652,x5653),f7(x5653),x5653)
% 2.40/2.56 [566]~P50(x5663)+~P5(x5662,f7(x5663),x5663)+~P5(f7(x5663),x5661,x5663)+P5(f8(x5661,x5662,x5663),f7(x5663),x5663)
% 2.40/2.56 [567]~P50(x5673)+~P5(x5671,f7(x5673),x5673)+~P5(f7(x5673),x5672,x5673)+P5(f8(x5671,x5672,x5673),f7(x5673),x5673)
% 2.40/2.56 [569]~P57(x5693)+~P5(x5692,f7(x5693),x5693)+~P5(f7(x5693),x5691,x5693)+P5(f8(x5691,x5692,x5693),f7(x5693),x5693)
% 2.40/2.56 [572]~P57(x5723)+~P5(x5721,f7(x5723),x5723)+~P5(f7(x5723),x5722,x5723)+P5(f8(x5721,x5722,x5723),f7(x5723),x5723)
% 2.40/2.56 [573]~P50(x5732)+~P5(f8(x5733,x5731,x5732),f7(x5732),x5732)+P5(x5731,f7(x5732),x5732)+P5(x5733,f7(x5732),x5732)
% 2.40/2.56 [574]~P50(x5742)+~P5(f7(x5742),f8(x5743,x5741,x5742),x5742)+P5(x5741,f7(x5742),x5742)+P5(f7(x5742),x5743,x5742)
% 2.40/2.56 [575]~P50(x5752)+~P5(f7(x5752),f8(x5751,x5753,x5752),x5752)+P5(x5751,f7(x5752),x5752)+P5(f7(x5752),x5753,x5752)
% 2.40/2.56 [576]~P50(x5762)+~P5(f7(x5762),f8(x5763,x5761,x5762),x5762)+P5(x5761,f7(x5762),x5762)+P5(f7(x5762),x5761,x5762)
% 2.40/2.56 [577]~P50(x5772)+~P5(f7(x5772),f8(x5771,x5773,x5772),x5772)+P5(x5771,f7(x5772),x5772)+P5(f7(x5772),x5771,x5772)
% 2.40/2.56 [578]~P50(x5782)+~P5(f8(x5783,x5781,x5782),f7(x5782),x5782)+P5(x5781,f7(x5782),x5782)+P5(f7(x5782),x5781,x5782)
% 2.40/2.56 [579]~P50(x5792)+~P5(f8(x5791,x5793,x5792),f7(x5792),x5792)+P5(x5791,f7(x5792),x5792)+P5(f7(x5792),x5791,x5792)
% 2.40/2.56 [580]~P50(x5801)+~P5(f8(x5802,x5803,x5801),f7(x5801),x5801)+P5(f7(x5801),x5802,x5801)+P5(f7(x5801),x5803,x5801)
% 2.40/2.56 [586]~P55(x5861)+~P6(f7(x5861),f8(x5863,x5862,x5861),x5861)+P6(f7(x5861),x5862,x5861)+~P6(f7(x5861),x5863,x5861)
% 2.40/2.56 [587]~P55(x5871)+~P6(f7(x5871),f8(x5872,x5873,x5871),x5871)+P6(f7(x5871),x5872,x5871)+~P6(f7(x5871),x5873,x5871)
% 2.40/2.56 [582]~P52(x5822)+~P5(x5823,f7(x5822),x5822)+~P5(x5821,f7(x5822),x5822)+E(f8(f6(x5821,x5822),f6(x5823,x5822),x5822),f6(f8(x5821,x5823,x5822),x5822))
% 2.40/2.56 [583]~P52(x5832)+~P5(x5833,f7(x5832),x5832)+~P5(f7(x5832),x5831,x5832)+E(f8(f6(x5831,x5832),f6(x5833,x5832),x5832),f6(f8(x5831,x5833,x5832),x5832))
% 2.40/2.56 [584]~P52(x5842)+~P5(x5841,f7(x5842),x5842)+~P5(f7(x5842),x5843,x5842)+E(f8(f6(x5841,x5842),f6(x5843,x5842),x5842),f6(f8(x5841,x5843,x5842),x5842))
% 2.40/2.56 [585]~P52(x5852)+~P5(f7(x5852),x5853,x5852)+~P5(f7(x5852),x5851,x5852)+E(f8(f6(x5851,x5852),f6(x5853,x5852),x5852),f6(f8(x5851,x5853,x5852),x5852))
% 2.40/2.56 [472]~P25(x4723)+~P6(x4721,x4724,x4723)+P6(x4721,x4722,x4723)+~P6(x4724,x4722,x4723)
% 2.40/2.56 [473]~P25(x4733)+~P5(x4731,x4734,x4733)+P6(x4731,x4732,x4733)+~P6(x4734,x4732,x4733)
% 2.40/2.56 [474]~P25(x4743)+~P5(x4744,x4742,x4743)+P6(x4741,x4742,x4743)+~P6(x4741,x4744,x4743)
% 2.40/2.56 [475]~P26(x4753)+~P6(x4751,x4754,x4753)+P6(x4751,x4752,x4753)+~P6(x4754,x4752,x4753)
% 2.40/2.56 [476]~P26(x4763)+~P5(x4761,x4764,x4763)+P6(x4761,x4762,x4763)+~P6(x4764,x4762,x4763)
% 2.40/2.56 [477]~P26(x4773)+~P5(x4774,x4772,x4773)+P6(x4771,x4772,x4773)+~P6(x4771,x4774,x4773)
% 2.40/2.56 [478]~P25(x4783)+~P5(x4781,x4784,x4783)+P5(x4781,x4782,x4783)+~P5(x4784,x4782,x4783)
% 2.40/2.56 [479]~P26(x4793)+~P5(x4791,x4794,x4793)+P5(x4791,x4792,x4793)+~P5(x4794,x4792,x4793)
% 2.40/2.56 [461]~P43(x4614)+~P3(x4614)+E(x4611,x4612)+~E(f9(x4613,x4611,x4614),f9(x4613,x4612,x4614))
% 2.40/2.56 [533]~P53(x5334)+~P6(x5331,x5333,x5334)+~P6(f7(x5334),x5332,x5334)+P6(x5331,f9(x5332,x5333,x5334),x5334)
% 2.40/2.56 [617]~P50(x6173)+~P6(x6174,x6171,x6173)+~P6(x6172,f7(x6173),x6173)+P6(f8(x6171,x6172,x6173),f8(x6174,x6172,x6173),x6173)
% 2.40/2.56 [620]~P50(x6203)+~P6(x6204,x6202,x6203)+~P6(x6201,f7(x6203),x6203)+P6(f8(x6201,x6202,x6203),f8(x6201,x6204,x6203),x6203)
% 2.40/2.56 [621]~P54(x6213)+~P5(x6214,x6211,x6213)+~P5(x6212,f7(x6213),x6213)+P5(f8(x6211,x6212,x6213),f8(x6214,x6212,x6213),x6213)
% 2.40/2.56 [622]~P50(x6223)+~P5(x6224,x6222,x6223)+~P6(x6221,f7(x6223),x6223)+P5(f8(x6221,x6222,x6223),f8(x6221,x6224,x6223),x6223)
% 2.40/2.56 [623]~P54(x6233)+~P5(x6234,x6232,x6233)+~P5(x6231,f7(x6233),x6233)+P5(f8(x6231,x6232,x6233),f8(x6231,x6234,x6233),x6233)
% 2.40/2.56 [624]~P50(x6243)+~P6(x6241,x6244,x6243)+~P6(f7(x6243),x6242,x6243)+P6(f8(x6241,x6242,x6243),f8(x6244,x6242,x6243),x6243)
% 2.40/2.56 [625]~P55(x6253)+~P6(x6251,x6254,x6253)+~P6(f7(x6253),x6252,x6253)+P6(f8(x6251,x6252,x6253),f8(x6254,x6252,x6253),x6253)
% 2.40/2.56 [627]~P50(x6273)+~P6(x6272,x6274,x6273)+~P6(f7(x6273),x6271,x6273)+P6(f8(x6271,x6272,x6273),f8(x6271,x6274,x6273),x6273)
% 2.40/2.56 [628]~P55(x6283)+~P6(x6282,x6284,x6283)+~P6(f7(x6283),x6281,x6283)+P6(f8(x6281,x6282,x6283),f8(x6281,x6284,x6283),x6283)
% 2.40/2.56 [629]~P49(x6293)+~P6(x6292,x6294,x6293)+~P6(f7(x6293),x6291,x6293)+P6(f8(x6291,x6292,x6293),f8(x6291,x6294,x6293),x6293)
% 2.40/2.56 [630]~P46(x6303)+~P5(x6301,x6304,x6303)+~P5(f7(x6303),x6302,x6303)+P5(f8(x6301,x6302,x6303),f8(x6304,x6302,x6303),x6303)
% 2.40/2.56 [631]~P50(x6313)+~P5(x6312,x6314,x6313)+~P6(f7(x6313),x6311,x6313)+P5(f8(x6311,x6312,x6313),f8(x6311,x6314,x6313),x6313)
% 2.40/2.56 [632]~P45(x6323)+~P5(x6322,x6324,x6323)+~P5(f7(x6323),x6321,x6323)+P5(f8(x6321,x6322,x6323),f8(x6321,x6324,x6323),x6323)
% 2.40/2.56 [633]~P46(x6333)+~P5(x6332,x6334,x6333)+~P5(f7(x6333),x6331,x6333)+P5(f8(x6331,x6332,x6333),f8(x6331,x6334,x6333),x6333)
% 2.40/2.56 [647]P6(x6472,x6471,x6473)+~P50(x6473)+P6(x6471,x6472,x6473)+~P6(f8(x6474,x6471,x6473),f8(x6474,x6472,x6473),x6473)
% 2.40/2.56 [648]P6(x6482,x6481,x6483)+~P50(x6483)+P6(x6481,x6482,x6483)+~P6(f8(x6481,x6484,x6483),f8(x6482,x6484,x6483),x6483)
% 2.40/2.56 [652]~P50(x6523)+P6(x6521,x6522,x6523)+~P6(f8(x6521,x6524,x6523),f8(x6522,x6524,x6523),x6523)+P6(x6524,f7(x6523),x6523)
% 2.40/2.56 [653]~P50(x6533)+P6(x6531,x6532,x6533)+~P6(f8(x6534,x6531,x6533),f8(x6534,x6532,x6533),x6533)+P6(x6534,f7(x6533),x6533)
% 2.40/2.56 [654]~P50(x6543)+P6(x6541,x6542,x6543)+~P6(f8(x6544,x6542,x6543),f8(x6544,x6541,x6543),x6543)+P6(f7(x6543),x6544,x6543)
% 2.40/2.56 [655]~P50(x6553)+P6(x6551,x6552,x6553)+~P6(f8(x6552,x6554,x6553),f8(x6551,x6554,x6553),x6553)+P6(f7(x6553),x6554,x6553)
% 2.40/2.56 [658]~P50(x6582)+~P6(f8(x6583,x6581,x6582),f8(x6584,x6581,x6582),x6582)+P6(x6581,f7(x6582),x6582)+P6(f7(x6582),x6581,x6582)
% 2.40/2.56 [659]~P50(x6592)+~P6(f8(x6591,x6593,x6592),f8(x6591,x6594,x6592),x6592)+P6(x6591,f7(x6592),x6592)+P6(f7(x6592),x6591,x6592)
% 2.40/2.56 [667]~P50(x6673)+P6(x6671,x6672,x6673)+~P6(f8(x6674,x6672,x6673),f8(x6674,x6671,x6673),x6673)+~P6(x6674,f7(x6673),x6673)
% 2.40/2.56 [668]~P50(x6683)+P5(x6681,x6682,x6683)+~P5(f8(x6684,x6682,x6683),f8(x6684,x6681,x6683),x6683)+~P6(x6684,f7(x6683),x6683)
% 2.40/2.56 [669]~P50(x6693)+P6(x6691,x6692,x6693)+~P6(f8(x6694,x6691,x6693),f8(x6694,x6692,x6693),x6693)+~P6(f7(x6693),x6694,x6693)
% 2.40/2.56 [670]~P55(x6703)+P6(x6701,x6702,x6703)+~P6(f8(x6704,x6701,x6703),f8(x6704,x6702,x6703),x6703)+~P5(f7(x6703),x6704,x6703)
% 2.40/2.56 [671]~P55(x6713)+P6(x6711,x6712,x6713)+~P6(f8(x6711,x6714,x6713),f8(x6712,x6714,x6713),x6713)+~P5(f7(x6713),x6714,x6713)
% 2.40/2.56 [672]~P56(x6723)+P6(x6721,x6722,x6723)+~P6(f8(x6724,x6721,x6723),f8(x6724,x6722,x6723),x6723)+~P5(f7(x6723),x6724,x6723)
% 2.40/2.56 [673]~P56(x6733)+P6(x6731,x6732,x6733)+~P6(f8(x6731,x6734,x6733),f8(x6732,x6734,x6733),x6733)+~P5(f7(x6733),x6734,x6733)
% 2.40/2.56 [674]~P50(x6743)+P5(x6741,x6742,x6743)+~P5(f8(x6744,x6741,x6743),f8(x6744,x6742,x6743),x6743)+~P6(f7(x6743),x6744,x6743)
% 2.40/2.56 [675]~P55(x6753)+P5(x6751,x6752,x6753)+~P5(f8(x6754,x6751,x6753),f8(x6754,x6752,x6753),x6753)+~P6(f7(x6753),x6754,x6753)
% 2.40/2.56 [676]~P55(x6763)+P5(x6761,x6762,x6763)+~P5(f8(x6761,x6764,x6763),f8(x6762,x6764,x6763),x6763)+~P6(f7(x6763),x6764,x6763)
% 2.40/2.56 [634]~P34(x6342)+E(x6341,f7(x6342))+~P5(x6343,f7(a1),a1)+~P5(f10(x6341,x6342),f8(x6343,f10(x6344,x6342),a1),a1)
% 2.40/2.56 [694]~P29(x6943)+~P6(x6941,f9(x6942,x6944,x6943),x6943)+~P6(f5(x6942,x6944,x6943),x6941,x6943)+P6(f6(f5(x6941,x6942,x6943),x6943),x6944,x6943)
% 2.40/2.56 [497]~P22(x4973)+~P6(x4974,x4975,x4973)+P6(x4971,x4972,x4973)+~E(f5(x4974,x4975,x4973),f5(x4971,x4972,x4973))
% 2.40/2.56 [498]~P22(x4983)+~P6(x4984,x4985,x4983)+P6(x4981,x4982,x4983)+~E(f5(x4981,x4982,x4983),f5(x4984,x4985,x4983))
% 2.40/2.56 [499]~P22(x4993)+~P5(x4995,x4994,x4993)+P5(x4991,x4992,x4993)+~E(f5(x4994,x4995,x4993),f5(x4992,x4991,x4993))
% 2.40/2.56 [500]~P22(x5003)+~P5(x5005,x5004,x5003)+P5(x5001,x5002,x5003)+~E(f5(x5002,x5001,x5003),f5(x5004,x5005,x5003))
% 2.40/2.56 [607]~P24(x6073)+~P6(x6072,x6075,x6073)+~P6(x6071,x6074,x6073)+P6(f9(x6071,x6072,x6073),f9(x6074,x6075,x6073),x6073)
% 2.40/2.56 [608]~P24(x6083)+~P6(x6082,x6085,x6083)+~P5(x6081,x6084,x6083)+P6(f9(x6081,x6082,x6083),f9(x6084,x6085,x6083),x6083)
% 2.40/2.56 [609]~P24(x6093)+~P6(x6091,x6094,x6093)+~P5(x6092,x6095,x6093)+P6(f9(x6091,x6092,x6093),f9(x6094,x6095,x6093),x6093)
% 2.40/2.56 [610]~P23(x6103)+~P5(x6102,x6105,x6103)+~P5(x6101,x6104,x6103)+P5(f9(x6101,x6102,x6103),f9(x6104,x6105,x6103),x6103)
% 2.40/2.56 [641]~P22(x6414)+~P5(x6415,x6413,x6414)+~P5(x6411,f9(x6412,x6415,x6414),x6414)+P5(x6411,f9(x6412,x6413,x6414),x6414)
% 2.40/2.56 [682]~P29(x6822)+~P6(f6(x6821,x6822),x6824,x6822)+~P6(f6(x6823,x6822),x6825,x6822)+P6(f8(f6(x6821,x6822),f6(x6823,x6822),x6822),f8(x6824,x6825,x6822),x6822)
% 2.40/2.56 [691]~P36(x6913)+~P6(f10(x6912,x6913),x6915,a1)+~P6(f10(x6911,x6913),x6914,a1)+P6(f10(f8(x6911,x6912,x6913),x6913),f8(x6914,x6915,a1),a1)
% 2.40/2.56 [494]~P28(x4942)+~P5(f7(x4942),x4941,x4942)+~P5(f7(x4942),x4943,x4942)+~E(f9(x4943,x4941,x4942),f7(x4942))+E(x4941,f7(x4942))
% 2.40/2.56 [495]~P28(x4952)+~P5(f7(x4952),x4953,x4952)+~P5(f7(x4952),x4951,x4952)+~E(f9(x4951,x4953,x4952),f7(x4952))+E(x4951,f7(x4952))
% 2.40/2.56 [614]~P29(x6143)+~P5(x6141,f4(x6143),x6143)+~P5(f7(x6143),x6142,x6143)+~P5(f7(x6143),x6141,x6143)+P5(f8(x6141,x6142,x6143),x6142,x6143)
% 2.40/2.56 [615]~P29(x6153)+~P5(x6152,f4(x6153),x6153)+~P5(f7(x6153),x6152,x6153)+~P5(f7(x6153),x6151,x6153)+P5(f8(x6151,x6152,x6153),x6151,x6153)
% 2.40/2.56 [534]~P1(x5344)+~P2(x5344)+~P6(x5341,x5343,x5344)+~P5(f7(x5344),x5342,x5344)+P6(x5341,f9(x5342,x5343,x5344),x5344)
% 2.40/2.56 [535]~P1(x5354)+~P2(x5354)+~P5(x5351,x5353,x5354)+~P6(f7(x5354),x5352,x5354)+P6(x5351,f9(x5352,x5353,x5354),x5354)
% 2.40/2.56 [536]~P1(x5364)+~P2(x5364)+~P5(x5361,x5363,x5364)+~P5(f7(x5364),x5362,x5364)+P5(x5361,f9(x5362,x5363,x5364),x5364)
% 2.40/2.56 [537]~P1(x5374)+~P2(x5374)+~P5(x5371,x5372,x5374)+~P5(f7(x5374),x5373,x5374)+P5(x5371,f9(x5372,x5373,x5374),x5374)
% 2.40/2.56 [646]~P43(x6464)+~P3(x6464)+E(x6461,x6462)+E(x6463,f7(x6464))+~E(f9(x6465,f8(x6463,x6461,x6464),x6464),f9(x6465,f8(x6463,x6462,x6464),x6464))
% 2.40/2.56 [696]~P43(x6965)+~P3(x6965)+E(x6961,x6962)+E(x6963,x6964)+~E(f9(f8(x6963,x6961,x6965),f8(x6964,x6962,x6965),x6965),f9(f8(x6963,x6962,x6965),f8(x6964,x6961,x6965),x6965))
% 2.40/2.56 [683]~P55(x6833)+~P6(x6832,x6835,x6833)+~P6(x6831,x6834,x6833)+~P6(f7(x6833),x6834,x6833)+~P5(f7(x6833),x6832,x6833)+P6(f8(x6831,x6832,x6833),f8(x6834,x6835,x6833),x6833)
% 2.40/2.56 [684]~P55(x6843)+~P6(x6842,x6845,x6843)+~P6(x6841,x6844,x6843)+~P5(f7(x6843),x6842,x6843)+~P5(f7(x6843),x6841,x6843)+P6(f8(x6841,x6842,x6843),f8(x6844,x6845,x6843),x6843)
% 2.40/2.56 [685]~P55(x6853)+~P6(x6852,x6855,x6853)+~P5(x6851,x6854,x6853)+~P6(f7(x6853),x6851,x6853)+~P5(f7(x6853),x6852,x6853)+P6(f8(x6851,x6852,x6853),f8(x6854,x6855,x6853),x6853)
% 2.40/2.56 [686]~P55(x6863)+~P6(x6861,x6864,x6863)+~P5(x6862,x6865,x6863)+~P6(f7(x6863),x6862,x6863)+~P5(f7(x6863),x6861,x6863)+P6(f8(x6861,x6862,x6863),f8(x6864,x6865,x6863),x6863)
% 2.40/2.56 [687]~P59(x6873)+~P5(x6872,x6875,x6873)+~P5(x6871,x6874,x6873)+~P5(f7(x6873),x6874,x6873)+~P5(f7(x6873),x6872,x6873)+P5(f8(x6871,x6872,x6873),f8(x6874,x6875,x6873),x6873)
% 2.40/2.56 [688]~P59(x6883)+~P5(x6882,x6885,x6883)+~P5(x6881,x6884,x6883)+~P5(f7(x6883),x6882,x6883)+~P5(f7(x6883),x6881,x6883)+P5(f8(x6881,x6882,x6883),f8(x6884,x6885,x6883),x6883)
% 2.40/2.56 %EqnAxiom
% 2.40/2.56 [1]E(x11,x11)
% 2.40/2.56 [2]E(x22,x21)+~E(x21,x22)
% 2.40/2.56 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.40/2.56 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 2.40/2.56 [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 2.40/2.56 [6]~E(x61,x62)+E(f5(x61,x63,x64),f5(x62,x63,x64))
% 2.40/2.56 [7]~E(x71,x72)+E(f5(x73,x71,x74),f5(x73,x72,x74))
% 2.40/2.56 [8]~E(x81,x82)+E(f5(x83,x84,x81),f5(x83,x84,x82))
% 2.40/2.56 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 2.40/2.56 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 2.40/2.56 [11]~E(x111,x112)+E(f23(x111,x113,x114),f23(x112,x113,x114))
% 2.40/2.56 [12]~E(x121,x122)+E(f23(x123,x121,x124),f23(x123,x122,x124))
% 2.40/2.56 [13]~E(x131,x132)+E(f23(x133,x134,x131),f23(x133,x134,x132))
% 2.40/2.56 [14]~E(x141,x142)+E(f8(x141,x143,x144),f8(x142,x143,x144))
% 2.40/2.56 [15]~E(x151,x152)+E(f8(x153,x151,x154),f8(x153,x152,x154))
% 2.40/2.56 [16]~E(x161,x162)+E(f8(x163,x164,x161),f8(x163,x164,x162))
% 2.40/2.56 [17]~E(x171,x172)+E(f9(x171,x173,x174),f9(x172,x173,x174))
% 2.40/2.56 [18]~E(x181,x182)+E(f9(x183,x181,x184),f9(x183,x182,x184))
% 2.40/2.56 [19]~E(x191,x192)+E(f9(x193,x194,x191),f9(x193,x194,x192))
% 2.40/2.56 [20]~E(x201,x202)+E(f10(x201,x203),f10(x202,x203))
% 2.40/2.56 [21]~E(x211,x212)+E(f10(x213,x211),f10(x213,x212))
% 2.40/2.56 [22]~E(x221,x222)+E(f13(x221,x223),f13(x222,x223))
% 2.40/2.56 [23]~E(x231,x232)+E(f13(x233,x231),f13(x233,x232))
% 2.40/2.56 [24]~E(x241,x242)+E(f12(x241,x243,x244),f12(x242,x243,x244))
% 2.40/2.56 [25]~E(x251,x252)+E(f12(x253,x251,x254),f12(x253,x252,x254))
% 2.40/2.56 [26]~E(x261,x262)+E(f12(x263,x264,x261),f12(x263,x264,x262))
% 2.40/2.56 [27]~E(x271,x272)+E(f11(x271,x273,x274),f11(x272,x273,x274))
% 2.40/2.56 [28]~E(x281,x282)+E(f11(x283,x281,x284),f11(x283,x282,x284))
% 2.40/2.56 [29]~E(x291,x292)+E(f11(x293,x294,x291),f11(x293,x294,x292))
% 2.40/2.56 [30]~E(x301,x302)+E(f15(x301,x303),f15(x302,x303))
% 2.40/2.56 [31]~E(x311,x312)+E(f15(x313,x311),f15(x313,x312))
% 2.40/2.56 [32]~E(x321,x322)+E(f16(x321),f16(x322))
% 2.40/2.56 [33]~E(x331,x332)+E(f14(x331,x333,x334),f14(x332,x333,x334))
% 2.40/2.56 [34]~E(x341,x342)+E(f14(x343,x341,x344),f14(x343,x342,x344))
% 2.40/2.56 [35]~E(x351,x352)+E(f14(x353,x354,x351),f14(x353,x354,x352))
% 2.40/2.56 [36]~E(x361,x362)+E(f22(x361,x363,x364),f22(x362,x363,x364))
% 2.40/2.56 [37]~E(x371,x372)+E(f22(x373,x371,x374),f22(x373,x372,x374))
% 2.40/2.56 [38]~E(x381,x382)+E(f22(x383,x384,x381),f22(x383,x384,x382))
% 2.40/2.56 [39]~P1(x391)+P1(x392)+~E(x391,x392)
% 2.40/2.56 [40]P6(x402,x403,x404)+~E(x401,x402)+~P6(x401,x403,x404)
% 2.40/2.56 [41]P6(x413,x412,x414)+~E(x411,x412)+~P6(x413,x411,x414)
% 2.40/2.56 [42]P6(x423,x424,x422)+~E(x421,x422)+~P6(x423,x424,x421)
% 2.40/2.56 [43]~P24(x431)+P24(x432)+~E(x431,x432)
% 2.40/2.56 [44]P5(x442,x443,x444)+~E(x441,x442)+~P5(x441,x443,x444)
% 2.40/2.56 [45]P5(x453,x452,x454)+~E(x451,x452)+~P5(x453,x451,x454)
% 2.40/2.56 [46]P5(x463,x464,x462)+~E(x461,x462)+~P5(x463,x464,x461)
% 2.40/2.56 [47]~P25(x471)+P25(x472)+~E(x471,x472)
% 2.40/2.56 [48]~P33(x481)+P33(x482)+~E(x481,x482)
% 2.40/2.56 [49]~P26(x491)+P26(x492)+~E(x491,x492)
% 2.40/2.56 [50]~P11(x501)+P11(x502)+~E(x501,x502)
% 2.40/2.56 [51]~P29(x511)+P29(x512)+~E(x511,x512)
% 2.40/2.56 [52]~P16(x521)+P16(x522)+~E(x521,x522)
% 2.40/2.56 [53]~P27(x531)+P27(x532)+~E(x531,x532)
% 2.40/2.56 [54]~P35(x541)+P35(x542)+~E(x541,x542)
% 2.40/2.56 [55]~P30(x551)+P30(x552)+~E(x551,x552)
% 2.40/2.56 [56]~P38(x561)+P38(x562)+~E(x561,x562)
% 2.40/2.56 [57]~P54(x571)+P54(x572)+~E(x571,x572)
% 2.40/2.56 [58]~P2(x581)+P2(x582)+~E(x581,x582)
% 2.40/2.56 [59]~P28(x591)+P28(x592)+~E(x591,x592)
% 2.40/2.56 [60]~P46(x601)+P46(x602)+~E(x601,x602)
% 2.40/2.56 [61]~P43(x611)+P43(x612)+~E(x611,x612)
% 2.40/2.56 [62]~P50(x621)+P50(x622)+~E(x621,x622)
% 2.40/2.56 [63]~P59(x631)+P59(x632)+~E(x631,x632)
% 2.40/2.56 [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 2.40/2.56 [65]~P55(x651)+P55(x652)+~E(x651,x652)
% 2.40/2.56 [66]~P20(x661)+P20(x662)+~E(x661,x662)
% 2.40/2.56 [67]~P15(x671)+P15(x672)+~E(x671,x672)
% 2.40/2.56 [68]~P53(x681)+P53(x682)+~E(x681,x682)
% 2.40/2.56 [69]~P9(x691)+P9(x692)+~E(x691,x692)
% 2.40/2.56 [70]~P31(x701)+P31(x702)+~E(x701,x702)
% 2.40/2.56 [71]~P61(x711)+P61(x712)+~E(x711,x712)
% 2.40/2.56 [72]~P36(x721)+P36(x722)+~E(x721,x722)
% 2.40/2.56 [73]~P57(x731)+P57(x732)+~E(x731,x732)
% 2.40/2.56 [74]~P22(x741)+P22(x742)+~E(x741,x742)
% 2.40/2.56 [75]~P47(x751)+P47(x752)+~E(x751,x752)
% 2.40/2.56 [76]~P58(x761)+P58(x762)+~E(x761,x762)
% 2.40/2.56 [77]~P40(x771)+P40(x772)+~E(x771,x772)
% 2.40/2.56 [78]~P23(x781)+P23(x782)+~E(x781,x782)
% 2.40/2.56 [79]~P44(x791)+P44(x792)+~E(x791,x792)
% 2.40/2.56 [80]~P60(x801)+P60(x802)+~E(x801,x802)
% 2.40/2.56 [81]~P7(x811)+P7(x812)+~E(x811,x812)
% 2.40/2.56 [82]~P34(x821)+P34(x822)+~E(x821,x822)
% 2.40/2.56 [83]~P51(x831)+P51(x832)+~E(x831,x832)
% 2.40/2.56 [84]~P49(x841)+P49(x842)+~E(x841,x842)
% 2.40/2.56 [85]~P14(x851)+P14(x852)+~E(x851,x852)
% 2.40/2.56 [86]~P21(x861)+P21(x862)+~E(x861,x862)
% 2.40/2.56 [87]~P4(x871)+P4(x872)+~E(x871,x872)
% 2.40/2.56 [88]~P56(x881)+P56(x882)+~E(x881,x882)
% 2.40/2.56 [89]~P52(x891)+P52(x892)+~E(x891,x892)
% 2.40/2.56 [90]~P8(x901)+P8(x902)+~E(x901,x902)
% 2.40/2.56 [91]~P13(x911)+P13(x912)+~E(x911,x912)
% 2.40/2.56 [92]~P10(x921)+P10(x922)+~E(x921,x922)
% 2.40/2.56 [93]~P48(x931)+P48(x932)+~E(x931,x932)
% 2.40/2.56 [94]~P42(x941)+P42(x942)+~E(x941,x942)
% 2.40/2.56 [95]~P18(x951)+P18(x952)+~E(x951,x952)
% 2.40/2.56 [96]~P39(x961)+P39(x962)+~E(x961,x962)
% 2.40/2.56 [97]~P17(x971)+P17(x972)+~E(x971,x972)
% 2.40/2.56 [98]~P32(x981)+P32(x982)+~E(x981,x982)
% 2.40/2.56 [99]~P41(x991)+P41(x992)+~E(x991,x992)
% 2.40/2.56 [100]~P19(x1001)+P19(x1002)+~E(x1001,x1002)
% 2.40/2.56 [101]~P37(x1011)+P37(x1012)+~E(x1011,x1012)
% 2.40/2.56 [102]~P45(x1021)+P45(x1022)+~E(x1021,x1022)
% 2.40/2.56 [103]~P12(x1031)+P12(x1032)+~E(x1031,x1032)
% 2.40/2.56
% 2.40/2.56 %-------------------------------------------
% 2.40/2.57 cnf(718,plain,
% 2.40/2.57 (E(x7181,f8(f4(a1),x7181,a1))),
% 2.40/2.57 inference(scs_inference,[],[251,2])).
% 2.40/2.57 cnf(719,plain,
% 2.40/2.57 (~P6(x7191,x7191,a2)),
% 2.40/2.57 inference(scs_inference,[],[115,251,2,376])).
% 2.40/2.57 cnf(724,plain,
% 2.40/2.57 (P41(f8(f4(a1),a1,a1))),
% 2.40/2.57 inference(scs_inference,[],[115,168,176,221,226,251,2,376,102,101,100,99])).
% 2.40/2.57 cnf(759,plain,
% 2.40/2.57 (P3(f8(f4(a1),a1,a1))),
% 2.40/2.57 inference(scs_inference,[],[115,125,128,131,136,142,145,148,151,154,159,161,165,168,170,172,174,176,182,184,186,189,192,194,197,200,203,206,208,211,215,218,221,223,226,228,230,233,240,243,251,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64])).
% 2.40/2.57 cnf(762,plain,
% 2.40/2.57 (P43(f8(f4(a1),a1,a1))),
% 2.40/2.57 inference(scs_inference,[],[115,122,125,128,131,136,138,142,145,148,151,154,159,161,165,168,170,172,174,176,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,240,243,251,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61])).
% 2.40/2.57 cnf(770,plain,
% 2.40/2.57 (P27(f8(f4(a1),a1,a1))),
% 2.40/2.57 inference(scs_inference,[],[114,115,116,119,122,125,128,131,136,138,140,142,145,148,151,154,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,240,243,251,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53])).
% 2.40/2.57 cnf(779,plain,
% 2.40/2.57 (P5(x7791,x7791,a1)),
% 2.40/2.57 inference(rename_variables,[],[246])).
% 2.40/2.57 cnf(785,plain,
% 2.40/2.57 (~P6(x7851,x7851,a1)),
% 2.40/2.57 inference(rename_variables,[],[266])).
% 2.40/2.57 cnf(787,plain,
% 2.40/2.57 (~P6(x7871,x7871,a1)),
% 2.40/2.57 inference(rename_variables,[],[266])).
% 2.40/2.57 cnf(791,plain,
% 2.40/2.57 (E(f8(x7911,x7912,a1),f8(x7912,x7911,a1))),
% 2.40/2.57 inference(rename_variables,[],[254])).
% 2.40/2.57 cnf(792,plain,
% 2.40/2.57 (~P5(f4(a1),a17,a1)),
% 2.40/2.57 inference(scs_inference,[],[246,266,785,104,106,108,110,112,114,115,116,119,122,125,128,131,133,136,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,260,254,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448])).
% 2.40/2.57 cnf(805,plain,
% 2.40/2.57 (P5(x8051,x8051,a1)),
% 2.40/2.57 inference(rename_variables,[],[246])).
% 2.40/2.57 cnf(810,plain,
% 2.40/2.57 (~P6(x8101,x8101,a1)),
% 2.40/2.57 inference(rename_variables,[],[266])).
% 2.40/2.57 cnf(813,plain,
% 2.40/2.57 (~P6(x8131,x8131,a1)),
% 2.40/2.57 inference(rename_variables,[],[266])).
% 2.40/2.57 cnf(815,plain,
% 2.40/2.57 (~P6(f9(f7(a2),f7(a2),a2),f7(a2),a2)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,266,785,787,810,104,106,108,110,112,113,114,115,116,119,122,125,128,131,133,136,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,252,260,254,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521])).
% 2.40/2.57 cnf(818,plain,
% 2.40/2.57 (P5(x8181,x8181,a1)),
% 2.40/2.57 inference(rename_variables,[],[246])).
% 2.40/2.57 cnf(821,plain,
% 2.40/2.57 (P5(x8211,x8211,a1)),
% 2.40/2.57 inference(rename_variables,[],[246])).
% 2.40/2.57 cnf(824,plain,
% 2.40/2.57 (~P6(x8241,x8241,a1)),
% 2.40/2.57 inference(rename_variables,[],[266])).
% 2.40/2.57 cnf(827,plain,
% 2.40/2.57 (~P6(x8271,x8271,a1)),
% 2.40/2.57 inference(rename_variables,[],[266])).
% 2.40/2.57 cnf(830,plain,
% 2.40/2.57 (~P6(x8301,x8301,a1)),
% 2.40/2.57 inference(rename_variables,[],[266])).
% 2.40/2.57 cnf(836,plain,
% 2.40/2.57 (E(x8361,f9(f8(f5(x8362,x8362,a1),x8363,a1),x8361,a1))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,266,785,787,810,813,824,827,104,106,108,110,112,113,114,115,116,119,122,125,128,131,133,136,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,252,260,254,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461])).
% 2.40/2.57 cnf(839,plain,
% 2.40/2.57 (~P6(x8391,x8391,a1)),
% 2.40/2.57 inference(rename_variables,[],[266])).
% 2.40/2.57 cnf(844,plain,
% 2.40/2.57 (P5(x8441,x8441,a1)),
% 2.40/2.57 inference(rename_variables,[],[246])).
% 2.40/2.57 cnf(849,plain,
% 2.40/2.57 (P5(x8491,x8491,a1)),
% 2.40/2.57 inference(rename_variables,[],[246])).
% 2.40/2.57 cnf(860,plain,
% 2.40/2.57 (~P6(x8601,x8601,a1)),
% 2.40/2.57 inference(rename_variables,[],[266])).
% 2.40/2.57 cnf(863,plain,
% 2.40/2.57 (~P6(x8631,x8631,a1)),
% 2.40/2.57 inference(rename_variables,[],[266])).
% 2.40/2.57 cnf(868,plain,
% 2.40/2.57 (P5(x8681,x8681,a1)),
% 2.40/2.57 inference(rename_variables,[],[246])).
% 2.40/2.57 cnf(871,plain,
% 2.40/2.57 (P5(x8711,x8711,a1)),
% 2.40/2.57 inference(rename_variables,[],[246])).
% 2.40/2.57 cnf(873,plain,
% 2.40/2.57 (~P6(f7(a1),f8(f5(x8731,x8731,a1),x8732,a1),a1)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,266,785,787,810,813,824,827,830,839,860,104,106,108,110,112,113,114,115,116,119,122,125,128,131,133,136,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,252,260,267,254,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552])).
% 2.40/2.57 cnf(874,plain,
% 2.40/2.57 (P5(x8741,x8741,a1)),
% 2.40/2.57 inference(rename_variables,[],[246])).
% 2.40/2.57 cnf(877,plain,
% 2.40/2.57 (~P6(x8771,x8771,a1)),
% 2.40/2.57 inference(rename_variables,[],[266])).
% 2.40/2.57 cnf(880,plain,
% 2.40/2.57 (~P6(x8801,x8801,a1)),
% 2.40/2.57 inference(rename_variables,[],[266])).
% 2.40/2.57 cnf(883,plain,
% 2.40/2.57 (~P6(x8831,x8831,a1)),
% 2.40/2.57 inference(rename_variables,[],[266])).
% 2.40/2.57 cnf(886,plain,
% 2.40/2.57 (~P6(x8861,x8861,a1)),
% 2.40/2.57 inference(rename_variables,[],[266])).
% 2.40/2.57 cnf(887,plain,
% 2.40/2.57 (P5(x8871,x8871,a1)),
% 2.40/2.57 inference(rename_variables,[],[246])).
% 2.40/2.57 cnf(892,plain,
% 2.40/2.57 (P5(x8921,x8921,a1)),
% 2.40/2.57 inference(rename_variables,[],[246])).
% 2.40/2.57 cnf(898,plain,
% 2.40/2.57 (P5(x8981,x8981,a2)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,119,122,125,128,131,133,136,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333])).
% 2.40/2.57 cnf(906,plain,
% 2.40/2.57 (P5(x9061,f6(x9061,a2),a2)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,119,122,125,128,131,133,136,137,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371])).
% 2.40/2.57 cnf(970,plain,
% 2.40/2.57 (P4(f16(a1))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,119,122,125,128,131,133,136,137,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286])).
% 2.40/2.57 cnf(972,plain,
% 2.40/2.57 (P51(f16(a1))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,119,122,125,128,131,133,136,137,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285])).
% 2.40/2.57 cnf(978,plain,
% 2.40/2.57 (P50(f16(a1))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,119,122,125,128,131,133,136,137,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282])).
% 2.40/2.57 cnf(986,plain,
% 2.40/2.57 (P3(f16(a1))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,119,122,125,128,131,133,136,137,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278])).
% 2.40/2.57 cnf(988,plain,
% 2.40/2.57 (P43(f16(a1))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,119,122,125,128,131,133,136,137,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277])).
% 2.40/2.57 cnf(1000,plain,
% 2.40/2.57 (P25(f16(a1))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,119,122,125,128,131,133,136,137,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271])).
% 2.40/2.57 cnf(1010,plain,
% 2.40/2.57 (P5(f7(a1),f10(x10101,a1),a1)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,119,122,125,128,131,133,136,137,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372])).
% 2.40/2.57 cnf(1047,plain,
% 2.40/2.57 (~P6(f8(x10471,x10471,a1),f7(a1),a1)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,119,122,125,128,131,133,136,137,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493])).
% 2.40/2.57 cnf(1049,plain,
% 2.40/2.57 (P6(x10491,f9(x10491,f4(a1),a1),a1)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,119,122,125,128,131,133,136,137,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455])).
% 2.40/2.57 cnf(1051,plain,
% 2.40/2.57 (P5(f7(a1),f8(x10511,x10511,a1),a1)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,119,122,125,128,131,133,136,137,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441])).
% 2.40/2.57 cnf(1057,plain,
% 2.40/2.57 (~P6(f6(x10571,a1),f7(a1),a1)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,119,122,125,128,131,133,136,137,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416])).
% 2.40/2.57 cnf(1067,plain,
% 2.40/2.57 (~P5(f4(a2),f7(a2),a2)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,117,119,122,125,128,131,133,136,137,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,175,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393])).
% 2.40/2.57 cnf(1075,plain,
% 2.40/2.57 (P5(f7(a1),f4(a1),a1)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,117,119,122,125,128,131,133,136,137,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,175,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367])).
% 2.40/2.57 cnf(1077,plain,
% 2.40/2.57 (P6(f7(a2),f4(a2),a2)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,117,119,122,125,128,131,133,136,137,138,140,142,145,148,151,154,157,159,161,163,165,168,170,172,174,175,176,178,180,182,184,186,189,192,194,197,200,203,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366])).
% 2.40/2.57 cnf(1151,plain,
% 2.40/2.57 (P5(f7(a1),f9(f8(x11511,x11511,a1),f8(x11512,x11512,a1),a1),a1)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,117,118,119,120,122,125,128,131,133,136,137,138,140,142,145,148,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,197,200,202,203,204,206,208,211,213,215,218,221,223,226,228,230,233,235,237,240,243,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677])).
% 2.40/2.57 cnf(1257,plain,
% 2.40/2.57 (~P5(f6(f4(a1),a1),a17,a1)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,117,118,119,120,122,125,128,131,133,136,137,138,140,142,145,148,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,208,211,213,215,218,221,223,226,228,230,233,235,237,238,240,243,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466])).
% 2.40/2.57 cnf(1263,plain,
% 2.40/2.57 (P5(f7(a2),f4(a2),a2)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,117,118,119,120,122,125,128,131,133,136,137,138,140,142,145,148,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,208,211,213,215,218,221,223,226,228,230,233,235,237,238,240,243,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418])).
% 2.40/2.57 cnf(1283,plain,
% 2.40/2.57 (~E(f5(x12831,x12831,a1),f5(a24,a21,a1))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,117,118,119,120,122,125,128,131,133,136,137,138,140,142,145,148,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,208,211,213,215,218,221,223,226,228,230,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452])).
% 2.40/2.57 cnf(1289,plain,
% 2.40/2.57 (~E(f5(a24,a21,a1),f7(a1))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,117,118,119,120,122,125,128,131,133,136,137,138,140,142,145,148,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,208,211,213,215,216,218,221,223,226,228,230,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383])).
% 2.40/2.57 cnf(1291,plain,
% 2.40/2.57 (~E(f5(a24,a21,a3),f7(a3))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,117,118,119,120,122,125,128,131,133,136,137,138,140,142,145,148,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,208,211,213,215,216,218,221,223,226,228,230,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382])).
% 2.40/2.57 cnf(1307,plain,
% 2.40/2.57 (~E(f10(f11(a24,a21,a1),a1),f7(a1))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,140,142,145,148,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,208,211,213,215,216,218,221,223,226,227,228,230,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326])).
% 2.40/2.57 cnf(1313,plain,
% 2.40/2.57 (~P5(f9(x13131,f4(a1),a1),f9(x13131,a17,a1),a1)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,140,142,145,148,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,208,211,213,215,216,218,221,223,226,227,228,230,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638])).
% 2.40/2.57 cnf(1315,plain,
% 2.40/2.57 (~P6(f9(f4(a1),x13151,f8(f4(a1),a1,a1)),f9(a17,x13151,f8(f4(a1),a1,a1)),f8(f4(a1),a1,a1))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,140,142,145,148,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,208,211,213,215,216,218,221,223,226,227,228,230,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637])).
% 2.40/2.57 cnf(1321,plain,
% 2.40/2.57 (P6(f9(x13211,f7(a2),a2),f9(x13211,f4(a2),a2),a2)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,266,785,787,810,813,824,827,830,839,860,863,877,880,883,104,105,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,140,142,145,148,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,208,211,213,215,216,218,221,223,226,227,228,230,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637,636,541,540])).
% 2.40/2.57 cnf(1363,plain,
% 2.40/2.57 (~E(f9(f8(x13631,x13631,a1),f8(f11(a24,a21,a1),f11(a24,a21,a1),a1),a1),f7(a1))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,892,266,785,787,810,813,824,827,830,839,860,863,877,880,883,886,104,105,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,140,142,145,148,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,207,208,211,213,215,216,218,221,223,226,227,228,230,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637,636,541,540,539,538,502,501,484,483,523,492,491,489,488,681,680,635,702,701,679,678,657,605,604])).
% 2.40/2.57 cnf(1389,plain,
% 2.40/2.57 (P6(f7(a1),f9(f4(a1),f7(a1),a1),a1)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,892,266,785,787,810,813,824,827,830,839,860,863,877,880,883,886,104,105,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,140,142,145,147,148,149,150,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,207,208,211,213,215,216,218,221,223,226,227,228,230,231,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637,636,541,540,539,538,502,501,484,483,523,492,491,489,488,681,680,635,702,701,679,678,657,605,604,496,581,666,665,664,663,712,710,709,707,699,698,465])).
% 2.40/2.57 cnf(1391,plain,
% 2.40/2.57 (E(f7(a1),f8(f7(a1),f7(a1),a1))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,892,266,785,787,810,813,824,827,830,839,860,863,877,880,883,886,104,105,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,140,142,145,147,148,149,150,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,207,208,211,213,215,216,218,221,223,226,227,228,230,231,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637,636,541,540,539,538,502,501,484,483,523,492,491,489,488,681,680,635,702,701,679,678,657,605,604,496,581,666,665,664,663,712,710,709,707,699,698,465,427])).
% 2.40/2.57 cnf(1395,plain,
% 2.40/2.57 (~E(f5(a24,a21,a2),f7(a2))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,892,266,785,787,810,813,824,827,830,839,860,863,877,880,883,886,104,105,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,140,142,145,147,148,149,150,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,207,208,211,213,215,216,218,221,223,226,227,228,230,231,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637,636,541,540,539,538,502,501,484,483,523,492,491,489,488,681,680,635,702,701,679,678,657,605,604,496,581,666,665,664,663,712,710,709,707,699,698,465,427,425,388])).
% 2.40/2.57 cnf(1411,plain,
% 2.40/2.57 (~E(f5(f7(a2),f4(a2),a2),f5(f7(a2),f7(a2),a2))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,892,266,785,787,810,813,824,827,830,839,860,863,877,880,883,886,104,105,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,140,142,145,147,148,149,150,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,207,208,211,213,215,216,218,221,223,226,227,228,230,231,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637,636,541,540,539,538,502,501,484,483,523,492,491,489,488,681,680,635,702,701,679,678,657,605,604,496,581,666,665,664,663,712,710,709,707,699,698,465,427,425,388,330,634,373,641,500,499,498,497])).
% 2.40/2.57 cnf(1437,plain,
% 2.40/2.57 (P5(f8(f7(a2),f7(a2),a2),f7(a2),a2)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,892,266,785,787,810,813,824,827,830,839,860,863,877,880,883,886,104,105,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,140,142,145,147,148,149,150,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,207,208,211,212,213,215,216,218,221,223,226,227,228,230,231,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637,636,541,540,539,538,502,501,484,483,523,492,491,489,488,681,680,635,702,701,679,678,657,605,604,496,581,666,665,664,663,712,710,709,707,699,698,465,427,425,388,330,634,373,641,500,499,498,497,633,632,630,629,628,627,625,624,623,621,620,617,572])).
% 2.40/2.57 cnf(1449,plain,
% 2.40/2.57 (P6(f9(f7(a1),f5(a17,f4(a1),a1),a1),f7(a1),a1)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,892,266,785,787,810,813,824,827,830,839,860,863,877,880,883,886,104,105,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,140,142,145,147,148,149,150,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,207,208,211,212,213,215,216,218,221,223,226,227,228,230,231,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637,636,541,540,539,538,502,501,484,483,523,492,491,489,488,681,680,635,702,701,679,678,657,605,604,496,581,666,665,664,663,712,710,709,707,699,698,465,427,425,388,330,634,373,641,500,499,498,497,633,632,630,629,628,627,625,624,623,621,620,617,572,569,567,566,565,563,560])).
% 2.40/2.57 cnf(1453,plain,
% 2.40/2.57 (P5(f7(a2),f8(f7(a2),f7(a2),a2),a2)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,892,266,785,787,810,813,824,827,830,839,860,863,877,880,883,886,104,105,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,140,142,145,147,148,149,150,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,207,208,211,212,213,215,216,218,221,223,226,227,228,230,231,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637,636,541,540,539,538,502,501,484,483,523,492,491,489,488,681,680,635,702,701,679,678,657,605,604,496,581,666,665,664,663,712,710,709,707,699,698,465,427,425,388,330,634,373,641,500,499,498,497,633,632,630,629,628,627,625,624,623,621,620,617,572,569,567,566,565,563,560,559,558])).
% 2.40/2.57 cnf(1457,plain,
% 2.40/2.57 (P5(f7(a2),f8(f4(a2),f4(a2),a2),a2)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,892,266,785,787,810,813,824,827,830,839,860,863,877,880,883,886,104,105,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,139,140,142,145,147,148,149,150,151,154,155,157,159,161,163,165,166,168,170,172,174,175,176,178,180,181,182,184,186,188,189,190,192,194,195,197,200,202,203,204,206,207,208,211,212,213,215,216,218,221,223,226,227,228,230,231,233,235,237,238,240,243,264,247,248,249,250,252,260,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637,636,541,540,539,538,502,501,484,483,523,492,491,489,488,681,680,635,702,701,679,678,657,605,604,496,581,666,665,664,663,712,710,709,707,699,698,465,427,425,388,330,634,373,641,500,499,498,497,633,632,630,629,628,627,625,624,623,621,620,617,572,569,567,566,565,563,560,559,558,557,556])).
% 2.40/2.57 cnf(1486,plain,
% 2.40/2.57 (P5(x14861,x14861,a1)),
% 2.40/2.57 inference(rename_variables,[],[246])).
% 2.40/2.57 cnf(1493,plain,
% 2.40/2.57 (P6(f8(f7(a2),f7(a2),a2),f8(f4(a2),f4(a2),a2),a2)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,892,1486,266,785,787,810,813,824,827,830,839,860,863,877,880,883,886,104,105,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,139,140,142,145,147,148,149,150,151,154,155,157,159,161,163,165,166,168,170,172,173,174,175,176,178,180,181,182,183,184,186,188,189,190,192,193,194,195,197,200,202,203,204,206,207,208,211,212,213,214,215,216,218,221,223,226,227,228,230,231,233,235,237,238,240,243,264,247,248,249,250,252,260,259,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637,636,541,540,539,538,502,501,484,483,523,492,491,489,488,681,680,635,702,701,679,678,657,605,604,496,581,666,665,664,663,712,710,709,707,699,698,465,427,425,388,330,634,373,641,500,499,498,497,633,632,630,629,628,627,625,624,623,621,620,617,572,569,567,566,565,563,560,559,558,557,556,555,554,553,551,550,549,546,691,585,537,536,696,646,495,494,688,684])).
% 2.40/2.57 cnf(1497,plain,
% 2.40/2.57 (~P6(x14971,x14971,f8(f4(a1),a1,a1))),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,892,1486,266,785,787,810,813,824,827,830,839,860,863,877,880,883,886,104,105,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,139,140,142,145,147,148,149,150,151,154,155,157,159,161,163,165,166,168,170,172,173,174,175,176,178,180,181,182,183,184,186,188,189,190,192,193,194,195,197,200,202,203,204,206,207,208,211,212,213,214,215,216,218,221,223,226,227,228,230,231,233,235,237,238,240,243,264,247,248,249,250,252,260,259,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637,636,541,540,539,538,502,501,484,483,523,492,491,489,488,681,680,635,702,701,679,678,657,605,604,496,581,666,665,664,663,712,710,709,707,699,698,465,427,425,388,330,634,373,641,500,499,498,497,633,632,630,629,628,627,625,624,623,621,620,617,572,569,567,566,565,563,560,559,558,557,556,555,554,553,551,550,549,546,691,585,537,536,696,646,495,494,688,684,683,375])).
% 2.40/2.57 cnf(1505,plain,
% 2.40/2.57 (~P5(f8(a17,f4(a1),a1),f8(a17,a17,a1),a1)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,892,1486,266,785,787,810,813,824,827,830,839,860,863,877,880,883,886,104,105,106,108,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,139,140,142,145,147,148,149,150,151,154,155,157,159,161,163,165,166,168,170,172,173,174,175,176,178,180,181,182,183,184,186,188,189,190,192,193,194,195,197,200,202,203,204,206,207,208,211,212,213,214,215,216,218,221,223,226,227,228,230,231,233,235,237,238,240,243,264,247,248,249,250,252,260,259,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637,636,541,540,539,538,502,501,484,483,523,492,491,489,488,681,680,635,702,701,679,678,657,605,604,496,581,666,665,664,663,712,710,709,707,699,698,465,427,425,388,330,634,373,641,500,499,498,497,633,632,630,629,628,627,625,624,623,621,620,617,572,569,567,566,565,563,560,559,558,557,556,555,554,553,551,550,549,546,691,585,537,536,696,646,495,494,688,684,683,375,374,327,662,661])).
% 2.40/2.57 cnf(1557,plain,
% 2.40/2.57 (~E(f9(x15571,f11(a24,a21,a1),a1),x15571)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,892,1486,266,785,787,810,813,824,827,830,839,860,863,877,880,883,886,104,105,106,108,109,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,139,140,142,145,147,148,149,150,151,154,155,157,158,159,161,163,165,166,168,170,172,173,174,175,176,178,180,181,182,183,184,186,188,189,190,192,193,194,195,197,200,202,203,204,206,207,208,211,212,213,214,215,216,218,221,223,226,227,228,230,231,233,235,237,238,240,243,264,247,248,249,250,252,260,259,261,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637,636,541,540,539,538,502,501,484,483,523,492,491,489,488,681,680,635,702,701,679,678,657,605,604,496,581,666,665,664,663,712,710,709,707,699,698,465,427,425,388,330,634,373,641,500,499,498,497,633,632,630,629,628,627,625,624,623,621,620,617,572,569,567,566,565,563,560,559,558,557,556,555,554,553,551,550,549,546,691,585,537,536,696,646,495,494,688,684,683,375,374,327,662,661,591,590,589,588,439,438,545,544,543,542,419,380,328,525,490,384,460,479,478,477,476,474,473,411,407,387])).
% 2.40/2.57 cnf(1567,plain,
% 2.40/2.57 (~P5(f8(f4(a2),f4(a2),a2),f8(f4(a2),f7(a2),a2),a2)),
% 2.40/2.57 inference(scs_inference,[],[268,246,779,805,818,821,844,849,868,871,874,887,892,1486,266,785,787,810,813,824,827,830,839,860,863,877,880,883,886,104,105,106,108,109,110,111,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,133,136,137,138,139,140,142,145,147,148,149,150,151,154,155,157,158,159,161,163,165,166,168,170,172,173,174,175,176,178,180,181,182,183,184,186,188,189,190,192,193,194,195,197,200,202,203,204,206,207,208,211,212,213,214,215,216,218,221,223,226,227,228,230,231,233,235,237,238,240,243,264,247,248,249,250,252,260,259,261,267,254,791,251,258,2,376,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,3,448,446,445,444,404,402,463,660,524,522,521,713,711,708,706,475,472,458,461,533,609,608,607,673,655,654,653,652,587,586,573,562,561,552,659,658,535,534,615,687,413,386,333,486,437,412,371,335,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,485,436,372,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,493,455,441,434,433,416,399,397,396,395,393,392,381,377,367,366,353,352,351,349,348,347,346,344,343,342,341,340,339,338,336,322,321,320,319,318,429,459,430,385,364,362,361,360,358,356,355,354,331,324,323,700,677,640,531,530,520,519,518,517,516,515,514,513,510,507,506,505,504,482,481,470,469,464,432,645,644,643,642,613,612,611,606,603,602,600,596,594,592,529,528,480,471,693,651,650,649,704,697,527,705,692,503,714,715,466,443,435,418,417,414,526,487,462,379,440,454,453,452,451,450,383,382,368,365,329,415,406,405,370,326,378,639,638,637,636,541,540,539,538,502,501,484,483,523,492,491,489,488,681,680,635,702,701,679,678,657,605,604,496,581,666,665,664,663,712,710,709,707,699,698,465,427,425,388,330,634,373,641,500,499,498,497,633,632,630,629,628,627,625,624,623,621,620,617,572,569,567,566,565,563,560,559,558,557,556,555,554,553,551,550,549,546,691,585,537,536,696,646,495,494,688,684,683,375,374,327,662,661,591,590,589,588,439,438,545,544,543,542,419,380,328,525,490,384,460,479,478,477,476,474,473,411,407,387,648,647,610,676,675])).
% 2.40/2.57 cnf(1582,plain,
% 2.40/2.57 (P6(x15821,f9(x15821,f4(a1),a1),a1)),
% 2.40/2.57 inference(rename_variables,[],[1049])).
% 2.40/2.57 cnf(1585,plain,
% 2.40/2.57 (P5(x15851,x15851,a1)),
% 2.40/2.57 inference(rename_variables,[],[246])).
% 2.40/2.57 cnf(1628,plain,
% 2.40/2.57 (~P6(x16281,x16281,a2)),
% 2.40/2.57 inference(rename_variables,[],[719])).
% 2.40/2.57 cnf(1631,plain,
% 2.40/2.57 (~P6(x16311,x16311,a2)),
% 2.40/2.57 inference(rename_variables,[],[719])).
% 2.40/2.57 cnf(1661,plain,
% 2.40/2.57 (P5(x16611,x16611,a1)),
% 2.40/2.57 inference(rename_variables,[],[246])).
% 2.40/2.57 cnf(1664,plain,
% 2.40/2.57 (~P6(f8(x16641,x16641,a1),f7(a1),a1)),
% 2.40/2.57 inference(rename_variables,[],[1047])).
% 2.40/2.57 cnf(1682,plain,
% 2.40/2.57 (~P6(f8(x16821,x16821,a1),f7(a1),a1)),
% 2.40/2.57 inference(rename_variables,[],[1047])).
% 2.40/2.57 cnf(1697,plain,
% 2.40/2.57 (P5(x16971,x16971,a1)),
% 2.40/2.57 inference(rename_variables,[],[246])).
% 2.40/2.57 cnf(1718,plain,
% 2.40/2.57 (P6(f9(x17181,f7(a2),a2),f9(x17181,f4(a2),a2),a2)),
% 2.40/2.57 inference(rename_variables,[],[1321])).
% 2.40/2.57 cnf(1829,plain,
% 2.40/2.57 ($false),
% 2.40/2.57 inference(scs_inference,[],[268,123,132,134,143,146,152,156,160,164,169,177,179,191,198,201,205,209,217,219,222,224,229,232,241,255,185,256,257,265,263,126,266,115,137,158,173,214,227,261,139,109,246,1585,1661,1697,150,181,212,113,207,111,183,170,106,267,125,108,110,206,114,122,182,119,157,104,250,159,180,140,136,138,112,1497,770,762,759,792,1453,724,1437,1505,1289,1067,1411,1257,1315,1557,836,1493,718,1391,1291,1567,1283,1075,1263,1307,719,1628,1631,898,1363,906,1049,1582,970,972,978,986,988,1000,1321,1718,1395,1389,1313,1047,1664,1682,1051,873,1151,1010,1057,1449,815,1457,1077,431,631,694,682,614,332,448,462,454,451,450,383,382,365,329,405,370,637,636,502,501,419,380,328,489,681,680,496,666,665,664,712,710,709,699,698,478,474,461,330,634,648,641,610,500,672,633,586,573,563,558,556,549,585,537,535,534,646,495,494,444,526,378,639,679,708,550,546,402,541,539,538,484,523,488,604,713,472,465,552,658,404,676,674,386,413,7,6,102,101,99,97,95,93,90,87,86,85,84,83,82,80,77,75,69,65,63,62,61,57,53,48,3,487,327,453,452,368,415,406,384,635,702,701,657,663,707,706,479,477,476]),
% 2.40/2.57 ['proof']).
% 2.40/2.58 % SZS output end Proof
% 2.40/2.58 % Total time :1.740000s
%------------------------------------------------------------------------------