TSTP Solution File: ALG406-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG406-1 : 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 : n027.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 15:59:52 EDT 2023
% Result : Unsatisfiable 2.89s 2.86s
% Output : CNFRefutation 2.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG406-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 03:07:21 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 2.74/2.81 %-------------------------------------------
% 2.74/2.81 % File :CSE---1.6
% 2.74/2.81 % Problem :theBenchmark
% 2.74/2.81 % Transform :cnf
% 2.74/2.81 % Format :tptp:raw
% 2.74/2.81 % Command :java -jar mcs_scs.jar %d %s
% 2.74/2.81
% 2.74/2.81 % Result :Theorem 2.010000s
% 2.74/2.82 % Output :CNFRefutation 2.010000s
% 2.74/2.82 %-------------------------------------------
% 2.74/2.82 %------------------------------------------------------------------------------
% 2.74/2.82 % File : ALG406-1 : TPTP v8.1.2. Released v4.1.0.
% 2.74/2.82 % Domain : General Algebra
% 2.74/2.82 % Problem : Fundamental theorem of algebra 0729_37
% 2.74/2.82 % Version : Especial.
% 2.74/2.82 % English :
% 2.74/2.82
% 2.74/2.82 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 2.74/2.82 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 2.74/2.82 % Source : [Nip10]
% 2.74/2.82 % Names : Fundamental_Theorem_Algebra-0729_37 [Nip10]
% 2.74/2.82
% 2.74/2.82 % Status : Unsatisfiable
% 2.74/2.82 % Rating : 0.10 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.0.0, 0.20 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.20 v5.5.0, 0.40 v5.3.0, 0.44 v5.2.0, 0.38 v5.1.0, 0.47 v5.0.0, 0.36 v4.1.0
% 2.74/2.82 % Syntax : Number of clauses : 678 ( 144 unt; 70 nHn; 480 RR)
% 2.74/2.82 % Number of literals : 1762 ( 322 equ;1032 neg)
% 2.74/2.82 % Maximal clause size : 6 ( 2 avg)
% 2.74/2.82 % Maximal term depth : 5 ( 1 avg)
% 2.74/2.82 % Number of predicates : 63 ( 62 usr; 0 prp; 1-3 aty)
% 2.74/2.82 % Number of functors : 28 ( 28 usr; 5 con; 0-3 aty)
% 2.74/2.82 % Number of variables : 1491 ( 48 sgn)
% 2.74/2.82 % SPC : CNF_UNS_RFO_SEQ_NHN
% 2.74/2.82
% 2.74/2.82 % Comments :
% 2.74/2.82 %------------------------------------------------------------------------------
% 2.74/2.82 cnf(cls_add__neg__neg_0,axiom,
% 2.74/2.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.74/2.82 | 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)
% 2.74/2.82 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.82 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_left__minus_0,axiom,
% 2.74/2.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_right__minus_0,axiom,
% 2.74/2.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.82 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_ab__left__minus_0,axiom,
% 2.74/2.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.74/2.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 2.74/2.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_one__le__inverse__iff_0,axiom,
% 2.74/2.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.74/2.82 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_real__sqrt__gt__1__iff_1,axiom,
% 2.74/2.82 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 2.74/2.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_real__sqrt__gt__1__iff_0,axiom,
% 2.74/2.82 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 2.74/2.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_power__le__zero__eq_3,axiom,
% 2.74/2.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.82 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.82 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.82 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_power__less__zero__eq_1,axiom,
% 2.74/2.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.82 | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.82 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_power__mono_0,axiom,
% 2.74/2.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.74/2.82 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 2.74/2.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.82 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_add__strict__increasing2_0,axiom,
% 2.74/2.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.74/2.82 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.74/2.82 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.74/2.82 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 2.74/2.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_abs__triangle__ineq_0,axiom,
% 2.74/2.82 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.82 | 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) ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 2.74/2.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.82 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 2.74/2.82 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 2.74/2.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.82 | 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) ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 2.74/2.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.82 | 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) ) ).
% 2.74/2.82
% 2.74/2.82 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.83 | 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) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.83 | 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) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 2.74/2.83 | 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) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_add__cancel__21_1,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.74/2.83 | 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) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.83 | 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) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.74/2.83 | 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) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.74/2.83 | 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) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_abs__eq__0_1,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.83 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_order__less__trans_0,axiom,
% 2.74/2.83 ( ~ class_Orderings_Opreorder(T_a)
% 2.74/2.83 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_xt1_I10_J_0,axiom,
% 2.74/2.83 ( ~ class_Orderings_Oorder(T_a)
% 2.74/2.83 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_t_I1_J_0,axiom,
% 2.74/2.83 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_double__eq__0__iff_1,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.83 | 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) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.74/2.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.83 | 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) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_real__sqrt__lt__0__iff_1,axiom,
% 2.74/2.83 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_real__sqrt__lt__0__iff_0,axiom,
% 2.74/2.83 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_inverse__inverse__eq_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.83 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_abs__mult__less_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.83 | 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)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_neg__less__0__iff__less_0,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_neg__less__0__iff__less_1,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.83 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_norm__not__less__zero_0,axiom,
% 2.74/2.83 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.74/2.83 | ~ 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) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_of__real__eq__iff_0,axiom,
% 2.74/2.83 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.74/2.83 | c_RealVector_Oof__real(V_x,T_a) != c_RealVector_Oof__real(V_y,T_a)
% 2.74/2.83 | V_x = V_y ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_abs__minus__le__zero_0,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.83 | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_norm__eq__zero_0,axiom,
% 2.74/2.83 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.74/2.83 | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.74/2.83 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_add__increasing_0,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.74/2.83 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.74/2.83 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.74/2.83 | ~ c_lessequals(V_b,V_c,T_a)
% 2.74/2.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_add__increasing2_0,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.74/2.83 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.74/2.83 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.74/2.83 | ~ c_lessequals(V_b,V_a,T_a)
% 2.74/2.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.74/2.83 | ~ class_Int_Onumber__ring(T_a)
% 2.74/2.83 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 2.74/2.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_abs__if__lattice_0,axiom,
% 2.74/2.83 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.83 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 2.74/2.83 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_abs__if_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 2.74/2.83 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_abs__of__neg_0,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.83 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_double__eq__0__iff_0,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.83 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.74/2.83 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.74/2.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.74/2.83 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.74/2.83 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.74/2.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.74/2.83 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_mult_Ononneg__bounded_0,axiom,
% 2.74/2.83 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.83 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1(V_vskULp,T_a),tc_RealDef_Oreal) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_even__less__0__iff_1,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.83 | 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)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_even__less__0__iff_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.83 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.83 | ~ 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) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.83 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.83 | ~ 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) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.83 | 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)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_real__mult__order_0,axiom,
% 2.74/2.83 ( 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)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_mult__neg__neg_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.83 | 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)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_mult__pos__pos_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.83 | 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)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_zero__less__mult__pos_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.83 | ~ 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) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_zero__less__mult__pos2_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.83 | ~ 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) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.83 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.83 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.83 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_real__sqrt__le__0__iff_0,axiom,
% 2.74/2.83 ( c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.74/2.83 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_real__sqrt__le__0__iff_1,axiom,
% 2.74/2.83 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.74/2.83 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_inverse__less__1__iff_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.83 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 2.74/2.83 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_power__abs_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.83 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_abs__inverse_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.83 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_abs__of__pos_0,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.83 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_positive__imp__inverse__positive_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_inverse__positive__iff__positive_1,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_inverse__positive__iff__positive_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_mult_Opos__bounded_0,axiom,
% 2.74/2.83 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1(V_vskULn,T_a),tc_RealDef_Oreal) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.83 | 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)
% 2.74/2.83 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.83 | 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)
% 2.74/2.83 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_add__cancel__end_0,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.74/2.83 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 2.74/2.83 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_real__sqrt__less__iff_0,axiom,
% 2.74/2.83 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_real__sqrt__less__iff_1,axiom,
% 2.74/2.83 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_abs__of__nonpos_0,axiom,
% 2.74/2.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.83 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 2.74/2.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 2.74/2.83 | 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)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.83 | 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)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.83 | 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)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_mult__strict__right__mono_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.83 | 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)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.83 | 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)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.83 | 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)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.83 | 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)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.74/2.83
% 2.74/2.83 cnf(cls_mult__strict__left__mono_0,axiom,
% 2.74/2.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.83 | 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.84 | ~ 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.74/2.84 | ~ 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_real__mult__less__mono2_0,axiom,
% 2.74/2.84 ( 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_real__mult__less__iff1_1,axiom,
% 2.74/2.84 ( 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_real__mult__less__iff1_0,axiom,
% 2.74/2.84 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 2.74/2.84 | ~ 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 2.74/2.84 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_add__0__left_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 2.74/2.84 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.74/2.84 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.74/2.84 | ~ class_Int_Onumber__ring(T_a)
% 2.74/2.84 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.84 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.74/2.84 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.84 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.84 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_minus__equation__iff_1,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.84 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_equation__minus__iff_1,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.84 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_equation__minus__iff_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.84 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_double__compl_0,axiom,
% 2.74/2.84 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.74/2.84 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_minus__minus_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.84 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_add__less__le__mono_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_lessequals(V_c,V_d,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_add__le__less__mono_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.74/2.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_minus__less__iff_1,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_minus__less__iff_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_less__minus__iff_1,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_less__minus__iff_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_xt1_I7_J_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.74/2.84 | ~ c_lessequals(V_z,V_y,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_xt1_I8_J_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 2.74/2.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_le__add__right__mono_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.84 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 2.74/2.84 | ~ c_lessequals(V_c,V_d,T_a)
% 2.74/2.84 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_order__less__le__trans_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Opreorder(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.74/2.84 | ~ c_lessequals(V_y,V_z,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_order__le__less__trans_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Opreorder(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 2.74/2.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_order__less__imp__le_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Opreorder(T_a)
% 2.74/2.84 | c_lessequals(V_x,V_y,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_order__le__less_1,axiom,
% 2.74/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.74/2.84 | c_lessequals(V_x,V_y,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_less__le__not__le_2,axiom,
% 2.74/2.84 ( ~ class_Orderings_Opreorder(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.74/2.84 | c_lessequals(V_y,V_x,T_a)
% 2.74/2.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_abs__ge__self_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.84 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_add__mono_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_lessequals(V_c,V_d,T_a)
% 2.74/2.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_xt1_I11_J_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.74/2.84 | V_a = V_b
% 2.74/2.84 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_xt1_I12_J_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.74/2.84 | ~ c_lessequals(V_b,V_a,T_a)
% 2.74/2.84 | V_a = V_b ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_linorder__antisym__conv2_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.84 | V_x = V_y
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.74/2.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_linorder__antisym__conv1_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.84 | V_x = V_y
% 2.74/2.84 | ~ c_lessequals(V_x,V_y,T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_order__neq__le__trans_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.84 | ~ c_lessequals(V_a,V_b,T_a)
% 2.74/2.84 | V_a = V_b ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_order__le__neq__trans_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.84 | V_a = V_b
% 2.74/2.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_order__le__less_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.74/2.84 | V_x = V_y
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.74/2.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_order__less__le_2,axiom,
% 2.74/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.74/2.84 | V_x = V_y
% 2.74/2.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_add__le__cancel__right_1,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_add__le__cancel__right_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.74/2.84 | c_lessequals(V_a,V_b,T_a)
% 2.74/2.84 | ~ 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) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_add__le__cancel__left_1,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_add__le__cancel__left_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.74/2.84 | c_lessequals(V_a,V_b,T_a)
% 2.74/2.84 | ~ 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) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_add__right__mono_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_add__left__mono_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_neg__le__iff__le_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.84 | c_lessequals(V_a,V_b,T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_le__imp__neg__le_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.84 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.74/2.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_abs__le__D1_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.84 | c_lessequals(V_a,V_b,T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_less__le__not__le_1,axiom,
% 2.74/2.84 ( ~ class_Orderings_Opreorder(T_a)
% 2.74/2.84 | ~ c_lessequals(V_y,V_x,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_not__leE_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.74/2.84 | c_lessequals(V_y,V_x,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_linorder__antisym__conv2_1,axiom,
% 2.74/2.84 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.84 | ~ c_lessequals(V_x,V_x,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_linorder__antisym__conv1_1,axiom,
% 2.74/2.84 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 2.74/2.84 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_linorder__not__less_1,axiom,
% 2.74/2.84 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.74/2.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_linorder__not__less_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.84 | c_lessequals(V_y,V_x,T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_linorder__not__le_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.74/2.84 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_linorder__not__le_1,axiom,
% 2.74/2.84 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.84 | ~ c_lessequals(V_x,V_y,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_minus__le__iff_1,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.84 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_minus__le__iff_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.84 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_le__minus__iff_1,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.84 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 2.74/2.84 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_le__minus__iff_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.84 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.74/2.84 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_mult__less__le__imp__less_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.84 | ~ c_lessequals(V_c,V_d,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_mult__le__less__imp__less_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.74/2.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_abs__mult__pos_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_mult__strict__mono_H_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_abs__eq__mult_3,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.84 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_abs__eq__mult_2,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.84 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_abs__eq__mult_1,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_abs__eq__mult_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_power__less__imp__less__base_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_abs__less__iff_1,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.84 | ~ 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) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_mult__right_Ononneg__bounded_0,axiom,
% 2.74/2.84 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.84 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1(V_x,T_a),tc_RealDef_Oreal) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_neg__less__iff__less_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_neg__less__iff__less_1,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_add__neg__nonpos_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_add__nonpos__neg_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.84 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_of__real_Ozero_0,axiom,
% 2.74/2.84 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.74/2.84 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.74/2.84 | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_of__real__0_0,axiom,
% 2.74/2.84 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.74/2.84 | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.84 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_zero__less__norm__iff_0,axiom,
% 2.74/2.84 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.74/2.84 | ~ 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) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_inverse__less__1__iff_1,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 2.74/2.84 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_abs__le__zero__iff_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.84 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_estimate__by__abs_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 2.74/2.84 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_real__sqrt__not__eq__zero_0,axiom,
% 2.74/2.84 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_neg__equal__iff__equal_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.84 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 2.74/2.84 | V_a = V_b ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_compl__eq__compl__iff_0,axiom,
% 2.74/2.84 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.74/2.84 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 2.74/2.84 | V_x = V_y ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_linorder__neqE_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.74/2.84 | V_x = V_y ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_linorder__less__linear_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.74/2.84 | V_x = V_y
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_linorder__antisym__conv3_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.84 | V_x = V_y
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 2.74/2.84 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.84 | V_x = V_y
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.74/2.84 | V_x = V_y ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_abs__of__nonneg_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.84 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_le__eq__neg_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.84 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.84 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_le__eq__neg_1,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.84 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_less__add__one_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.74/2.84 | 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) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_one__less__inverse__iff_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_power__eq__0__iff_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.74/2.84 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.74/2.84 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.74/2.84 | ~ class_Power_Opower(T_a)
% 2.74/2.84 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_field__power__not__zero_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 2.74/2.84 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_neg__le__0__iff__le_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_neg__le__0__iff__le_1,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.84 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_zero__less__norm__iff_1,axiom,
% 2.74/2.84 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_abs__less__iff_2,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_mult__neg__pos_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_mult__pos__neg_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_mult__pos__neg2_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_abs__le__D2_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.84 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_add__minus__cancel_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.84 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a) = V_b ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_real__sqrt__ge__0__iff_1,axiom,
% 2.74/2.84 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_real__sqrt__ge__0__iff_0,axiom,
% 2.74/2.84 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_real__sqrt__ge__zero_0,axiom,
% 2.74/2.84 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_pos__add__strict_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_real__sqrt__eq__iff_0,axiom,
% 2.74/2.84 ( c_NthRoot_Osqrt(V_x) != c_NthRoot_Osqrt(V_y)
% 2.74/2.84 | V_x = V_y ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_inverse__negative__imp__negative_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.84 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.74/2.84 | ~ class_Int_Onumber__ring(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | V_c = V_d
% 2.74/2.84 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_of__real__eq__0__iff_0,axiom,
% 2.74/2.84 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.74/2.84 | c_RealVector_Oof__real(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.84 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_inverse__eq__iff__eq_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.84 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 2.74/2.84 | V_a = V_b ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.84 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 2.74/2.84 | V_a = V_b
% 2.74/2.84 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.84 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_inverse__zero_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.84 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_power__inverse_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.84 | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_inverse__minus__eq_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.84 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.84 | ~ 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) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.84 | 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)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_one__le__inverse__iff_2,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.84 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 2.74/2.84 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_neg__equal__zero_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.74/2.84 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 2.74/2.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.84 | ~ 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) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_zero__less__two_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.74/2.84 | 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) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_of__real__minus_0,axiom,
% 2.74/2.84 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.74/2.84 | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(V_x,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_of__real_Ominus_0,axiom,
% 2.74/2.84 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.74/2.84 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.74/2.84 | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(V_x,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_power__Suc__less_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_mult__left_Ononneg__bounded_0,axiom,
% 2.74/2.84 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.84 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1(V_y,T_a),tc_RealDef_Oreal) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.84 | ~ 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) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.84 | ~ 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) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_sin__zero_0,axiom,
% 2.74/2.84 c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_real__sqrt__zero_0,axiom,
% 2.74/2.84 c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_one__less__inverse__iff_1,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.84 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 2.74/2.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_inverse__add_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.74/2.84 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
% 2.74/2.84 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_division__ring__inverse__add_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.84 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
% 2.74/2.84 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_real__sum__squares__cancel__a_0,axiom,
% 2.74/2.84 ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.74/2.84 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_real__sum__squares__cancel__a_1,axiom,
% 2.74/2.84 ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.74/2.84 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.84 | 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) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_sin__minus_0,axiom,
% 2.74/2.84 c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_abs__leI_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.84 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.74/2.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_abs__le__iff_2,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.84 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 2.74/2.84 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.74/2.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_abs__minus__cancel_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.84 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 2.74/2.84 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.74/2.84 | ~ class_Int_Onumber__ring(T_a)
% 2.74/2.84 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 2.74/2.84 | V_y = V_z ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_add__imp__eq_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 2.74/2.84 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 2.74/2.84 | V_b = V_c ) ).
% 2.74/2.84
% 2.74/2.84 cnf(cls_add__left__cancel_0,axiom,
% 2.74/2.84 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 2.74/2.85 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 2.74/2.85 | V_b = V_c ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__right__cancel_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 2.74/2.85 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 2.74/2.85 | V_b = V_c ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_not__square__less__zero_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_nonzero__inverse__mult__distrib_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.85 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 2.74/2.85 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_abs__le__zero__iff_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__nonneg__pos_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__pos__nonneg_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_nonzero__inverse__inverse__eq_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.85 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_cos__zero_0,axiom,
% 2.74/2.85 c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__sqrt__gt__0__iff_1,axiom,
% 2.74/2.85 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__sqrt__gt__0__iff_0,axiom,
% 2.74/2.85 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__sqrt__gt__zero_0,axiom,
% 2.74/2.85 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_neg__0__le__iff__le_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_neg__0__le__iff__le_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_nonzero__abs__inverse_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__positive__imp__positive_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__cancel__21_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__sqrt__eq__zero__cancel_0,axiom,
% 2.74/2.85 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 2.74/2.85 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__less__imp__less_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__less__imp__less__right_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__less__imp__less__left_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__right__less__imp__less_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__left__less__imp__less_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_sum__squares__ge__zero_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__strict__mono_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__right__le__imp__le_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.85 | c_lessequals(V_a,V_b,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__left__le__imp__le_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.74/2.85 | c_lessequals(V_a,V_b,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | ~ c_lessequals(V_a,V_b,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | c_lessequals(V_a,V_b,T_a)
% 2.74/2.85 | ~ 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)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | ~ c_lessequals(V_b,V_a,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | c_lessequals(V_b,V_a,T_a)
% 2.74/2.85 | ~ 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)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_minus__mult__commute_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__eq__0__iff_2,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__eq__0__iff_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__zero__right_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__zero__left_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_class__semiring_Omul__0_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__right_Ozero_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult_Ozero__right_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult_Ozero__left_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__left_Ozero_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_abs__mult__self_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.74/2.85 | ~ class_Int_Onumber__ring(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | V_y = V_z
% 2.74/2.85 | V_w = V_x ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.74/2.85 | ~ class_Int_Onumber__ring(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | V_c = V_d
% 2.74/2.85 | V_a = V_b ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_power__commutes_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__mult__distrib_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.74/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.85 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_minus__mult__minus_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_square__eq__iff_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__right_Ominus_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult_Ominus__right_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__left_Ominus_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult_Ominus__left_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_class__semiring_Omul__d_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult_Oadd__left_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__left_Oadd_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult_Oadd__right_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__right_Oadd_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_power__mult__distrib_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 2.74/2.85 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_class__semiring_Opwr__mul_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.85 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_minus__mult__right_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.74/2.85 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_minus__mult__left_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.74/2.85 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_abs__mult_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__eq__0__iff_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_no__zero__divisors_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_square__eq__iff_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)
% 2.74/2.85 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 2.74/2.85 | V_a = V_b ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.74/2.85 | ~ class_Int_Onumber__ring(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.74/2.85 | ~ class_Int_Onumber__ring(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_combine__common__factor_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__le__1__iff_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__le__1__iff_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 2.74/2.85 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_power__minus_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 2.74/2.85 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_n,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_right__inverse_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oone__class_Oone(T_a)
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_left__inverse_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_field__inverse_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.74/2.85 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_power__less__power__Suc_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_power__gt1__lemma_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__1_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.85 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__eq__1__iff_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.74/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.85 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_power__one_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 2.74/2.85 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_zero__neq__one_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.74/2.85 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_abs__one_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.85 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_one__neq__zero_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.74/2.85 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__eq__1__iff_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.74/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.85 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) != c_HOL_Oone__class_Oone(T_a)
% 2.74/2.85 | V_x = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__less__def_0,axiom,
% 2.74/2.85 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__sqrt__le__iff_0,axiom,
% 2.74/2.85 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 2.74/2.85 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__sqrt__le__iff_1,axiom,
% 2.74/2.85 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 2.74/2.85 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__less__def_2,axiom,
% 2.74/2.85 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 2.74/2.85 | V_x = V_y
% 2.74/2.85 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__mult__le__cancel__iff2_1,axiom,
% 2.74/2.85 ( 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)
% 2.74/2.85 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__mult__le__cancel__iff2_0,axiom,
% 2.74/2.85 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 2.74/2.85 | ~ 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)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__mult__le__cancel__iff1_1,axiom,
% 2.74/2.85 ( 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)
% 2.74/2.85 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__mult__le__cancel__iff1_0,axiom,
% 2.74/2.85 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 2.74/2.85 | ~ 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)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_norm__le__zero__iff_1,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_norm__le__zero__iff_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.74/2.85 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__mult__right__cancel_0,axiom,
% 2.74/2.85 ( c_HOL_Otimes__class_Otimes(V_a,V_c,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_b,V_c,tc_RealDef_Oreal)
% 2.74/2.85 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.74/2.85 | V_a = V_b ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__mult__left__cancel_0,axiom,
% 2.74/2.85 ( c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal)
% 2.74/2.85 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.74/2.85 | V_a = V_b ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__sqrt__mult_0,axiom,
% 2.74/2.85 c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__sqrt__one_0,axiom,
% 2.74/2.85 c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__zero__not__eq__one_0,axiom,
% 2.74/2.85 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__sqrt__eq__1__iff_0,axiom,
% 2.74/2.85 ( c_NthRoot_Osqrt(V_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.74/2.85 | V_x = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_norm__minus__cancel_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.74/2.85 | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_RealVector_Onorm__class_Onorm(V_x,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_norm__ratiotest__lemma_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.74/2.85 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | ~ 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)
% 2.74/2.85 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_split__mult__neg__le_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_split__mult__neg__le_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__le__0__iff_5,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__le__0__iff_4,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_less__imp__inverse__less_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__less__imp__less__neg_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_less__imp__inverse__less__neg_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_zero__le__power__abs_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__nonneg__nonneg_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_cos__one__sin__zero_0,axiom,
% 2.74/2.85 ( c_Transcendental_Ocos(V_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.74/2.85 | c_Transcendental_Osin(V_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__sqrt__eq__0__iff_0,axiom,
% 2.74/2.85 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.74/2.85 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__strict__increasing_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.74/2.85 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(V_b,V_c,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_zero__le__power__iff_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_zero__le__power_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_le__minus__self__iff_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_le__minus__self__iff_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.85 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_minus__le__self__iff_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_minus__le__self__iff_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_less__eq__neg__nonpos_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.74/2.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.74/2.85 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_neg__less__eq__nonneg_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_abs__idempotent_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_zero__less__abs__iff_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__sqrt__minus_0,axiom,
% 2.74/2.85 c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_not__real__square__gt__zero_1,axiom,
% 2.74/2.85 ~ 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) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.85 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.74/2.85 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.74/2.85 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_norm__zero_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.74/2.85 | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__le__imp__le_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | c_lessequals(V_b,V_a,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_le__imp__inverse__le_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__le__imp__le__neg_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | c_lessequals(V_b,V_a,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_le__imp__inverse__le__neg_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_abs__ge__minus__self_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_zero__less__power_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_minus__unique_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.85 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.85 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_not__one__less__zero_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_abs__less__iff_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__left_Opos__bounded_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1(V_y,T_a),tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_nonzero__power__inverse_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.85 | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a)
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_nonzero__inverse__minus__eq_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.85 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_abs__power__minus_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.85 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__sqrt__lt__1__iff_1,axiom,
% 2.74/2.85 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__sqrt__lt__1__iff_0,axiom,
% 2.74/2.85 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_linorder__neq__iff_1,axiom,
% 2.74/2.85 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_order__less__le_1,axiom,
% 2.74/2.85 ( ~ class_Orderings_Oorder(T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_real__less__def_1,axiom,
% 2.74/2.85 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_order__less__irrefl_0,axiom,
% 2.74/2.85 ( ~ class_Orderings_Opreorder(T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__right_Opos__bounded_0,axiom,
% 2.74/2.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1(V_x,T_a),tc_RealDef_Oreal) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__pos__pos_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__negative__iff__negative_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__negative__iff__negative_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_negative__imp__inverse__negative_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__strict__mono_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__cancel__end_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.74/2.85 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = V_y ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_minus__add__cancel_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.85 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = V_b ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_one__less__inverse__iff_2,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_cos__minus_0,axiom,
% 2.74/2.85 c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_Transcendental_Ocos(V_x) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_abs__not__less__zero_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_zero__less__one_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.85 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.85 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__zero__imp__zero_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.74/2.85 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_power__inject__exp_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.74/2.85 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 2.74/2.85 | V_m = V_n ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_minus__zero_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.85 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_neg__equal__zero_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.74/2.85 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_abs__if__lattice_1,axiom,
% 2.74/2.85 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.85 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 2.74/2.85 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_abs__if_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 2.74/2.85 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_abs__add__abs_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_abs__eq__0_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.85 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.74/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_zero__less__abs__iff_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__less__cancel__left_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__less__cancel__left_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__strict__left__mono_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__less__cancel__right_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__less__cancel__right_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__strict__right__mono_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_add__nonpos__nonpos_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_inverse__less__1__iff_2,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.74/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.85 | ~ 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_not__real__square__gt__zero_0,axiom,
% 2.74/2.85 ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.74/2.85 | 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) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_neg__0__less__iff__less_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_neg__0__less__iff__less_1,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_less__minus__self__iff_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_less__minus__self__iff_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.74/2.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_abs__ge__zero_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_minus__add_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.74/2.85 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_minus__add__distrib_0,axiom,
% 2.74/2.85 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.74/2.85 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_order__less__asym_H_0,axiom,
% 2.74/2.85 ( ~ class_Orderings_Opreorder(T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_order__less__asym_0,axiom,
% 2.74/2.85 ( ~ class_Orderings_Opreorder(T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 2.74/2.85 ( ~ class_Orderings_Olinorder(T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_xt1_I9_J_0,axiom,
% 2.74/2.85 ( ~ class_Orderings_Oorder(T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.74/2.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__mono_H_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.85 | ~ c_lessequals(V_c,V_d,T_a)
% 2.74/2.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_mult__mono_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 2.74/2.85 | 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)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.85 | ~ c_lessequals(V_c,V_d,T_a)
% 2.74/2.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_zero__le__mult__iff_3,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_zero__le__mult__iff_2,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_zero__le__mult__iff_1,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.85 cnf(cls_zero__le__mult__iff_0,axiom,
% 2.74/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.74/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.74/2.85
% 2.74/2.86 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 2.74/2.86 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.74/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.74/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.86
% 2.74/2.86 cnf(cls_zero__le__mult__iff_5,axiom,
% 2.74/2.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.74/2.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.86
% 2.74/2.86 cnf(cls_zero__le__mult__iff_4,axiom,
% 2.74/2.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.74/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.74/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.74/2.86
% 2.74/2.86 cnf(cls_zero__le__square_0,axiom,
% 2.74/2.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.74/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 2.74/2.86
% 2.74/2.86 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 2.74/2.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.74/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.74/2.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.86
% 2.74/2.86 cnf(cls_split__mult__pos__le_1,axiom,
% 2.74/2.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.74/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.74/2.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.74/2.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.74/2.86
% 2.74/2.86 cnf(cls_split__mult__pos__le_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.89/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__right__mono__neg_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.89/2.86 | 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)
% 2.89/2.86 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.89/2.86 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__left__mono__neg_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.89/2.86 | 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)
% 2.89/2.86 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.89/2.86 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__right__mono_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 2.89/2.86 | 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)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.89/2.86 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__left__mono_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 2.89/2.86 | 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)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.89/2.86 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__mono1_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 2.89/2.86 | 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)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.89/2.86 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__le__0__iff_3,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.89/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.89/2.86 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__le__0__iff_2,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.89/2.86 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.89/2.86 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__le__0__iff_1,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.89/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.89/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__le__0__iff_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.89/2.86 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.89/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_abs__le__mult_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_not__one__le__zero_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_one__le__inverse__iff_1,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.89/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.89/2.86 | c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_zero__le__one_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.89/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_inverse__le__1__iff_2,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.89/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.89/2.86 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_one__le__power_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.89/2.86 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__ring_Oneg__mul_0,axiom,
% 2.89/2.86 ( ~ class_Int_Onumber__ring(T_a)
% 2.89/2.86 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_inverse__unique_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.89/2.86 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 2.89/2.86 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = V_b ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_less__1__mult_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.89/2.86 | 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)
% 2.89/2.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 2.89/2.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_of__real__mult_0,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_of__real__1_0,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.89/2.86 | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__minus__mult__self__le_0,axiom,
% 2.89/2.86 c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_u,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__sqrt__ge__one_0,axiom,
% 2.89/2.86 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__sqrt__ge__1__iff_0,axiom,
% 2.89/2.86 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__sqrt__ge__1__iff_1,axiom,
% 2.89/2.86 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__sqrt__le__1__iff_0,axiom,
% 2.89/2.86 ( c_lessequals(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.89/2.86 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__sqrt__le__1__iff_1,axiom,
% 2.89/2.86 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.89/2.86 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_sin__le__one_0,axiom,
% 2.89/2.86 c_lessequals(c_Transcendental_Osin(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_cos__le__one_0,axiom,
% 2.89/2.86 c_lessequals(c_Transcendental_Ocos(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_norm__ge__zero_0,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.89/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__mult__is__one_2,axiom,
% 2.89/2.86 c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__mult__is__one_0,axiom,
% 2.89/2.86 ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.89/2.86 | V_x = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.89/2.86 | V_x = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_complex__mod__minus__le__complex__mod_0,axiom,
% 2.89/2.86 c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_complex__Re__le__cmod_0,axiom,
% 2.89/2.86 c_lessequals(c_Complex_ORe(V_x),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_t_I2_J_0,axiom,
% 2.89/2.86 c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__right__le__one__le_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.89/2.86 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)
% 2.89/2.86 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__left__le__one__le_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.89/2.86 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)
% 2.89/2.86 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.89/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_norm__mult__less_0,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.89/2.86 | 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)
% 2.89/2.86 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal)
% 2.89/2.86 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult_Obounded_0,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.89/2.86 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1(V_vskULj,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__left_Obounded_0,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.89/2.86 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_K,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K,T_a),c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__right_Opos__bounded_1,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.89/2.86 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_K,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K,T_a),c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1(V_x,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult_Opos__bounded_1,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.89/2.86 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1(V_vskULn,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__left_Ononneg__bounded_1,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.89/2.86 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_K,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K,T_a),c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__right_Obounded_0,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.89/2.86 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_K,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K,T_a),c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1(V_x,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult_Ononneg__bounded_1,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.89/2.86 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1(V_vskULp,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__right_Ononneg__bounded_1,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.89/2.86 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_K,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K,T_a),c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1(V_x,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__left_Opos__bounded_1,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.89/2.86 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_K,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K,T_a),c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__le__linear_0,axiom,
% 2.89/2.86 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 2.89/2.86 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_linorder__linear_0,axiom,
% 2.89/2.86 ( ~ class_Orderings_Olinorder(T_a)
% 2.89/2.86 | c_lessequals(V_y,V_x,T_a)
% 2.89/2.86 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_xt1_I6_J_0,axiom,
% 2.89/2.86 ( ~ class_Orderings_Oorder(T_a)
% 2.89/2.86 | c_lessequals(V_z,V_x,T_a)
% 2.89/2.86 | ~ c_lessequals(V_z,V_y,T_a)
% 2.89/2.86 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_order__trans_0,axiom,
% 2.89/2.86 ( ~ class_Orderings_Opreorder(T_a)
% 2.89/2.86 | c_lessequals(V_x,V_z,T_a)
% 2.89/2.86 | ~ c_lessequals(V_y,V_z,T_a)
% 2.89/2.86 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__le__refl_0,axiom,
% 2.89/2.86 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__le__trans_0,axiom,
% 2.89/2.86 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal)
% 2.89/2.86 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)
% 2.89/2.86 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_order__eq__iff_0,axiom,
% 2.89/2.86 ( ~ class_Orderings_Oorder(T_a)
% 2.89/2.86 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_order__eq__refl_0,axiom,
% 2.89/2.86 ( ~ class_Orderings_Opreorder(T_a)
% 2.89/2.86 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_norm__mult_0,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_norm__one_0,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 2.89/2.86 | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Omul__a_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__mult__assoc_0,axiom,
% 2.89/2.86 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) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 2.89/2.86 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__idem_0,axiom,
% 2.89/2.86 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 2.89/2.86 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__left__idem_0,axiom,
% 2.89/2.86 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_order__antisym__conv_0,axiom,
% 2.89/2.86 ( ~ class_Orderings_Oorder(T_a)
% 2.89/2.86 | V_x = V_y
% 2.89/2.86 | ~ c_lessequals(V_x,V_y,T_a)
% 2.89/2.86 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_order__eq__iff_2,axiom,
% 2.89/2.86 ( ~ class_Orderings_Oorder(T_a)
% 2.89/2.86 | V_x = V_y
% 2.89/2.86 | ~ c_lessequals(V_y,V_x,T_a)
% 2.89/2.86 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_order__antisym_0,axiom,
% 2.89/2.86 ( ~ class_Orderings_Oorder(T_a)
% 2.89/2.86 | V_x = V_y
% 2.89/2.86 | ~ c_lessequals(V_y,V_x,T_a)
% 2.89/2.86 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__le__antisym_0,axiom,
% 2.89/2.86 ( V_z = V_w
% 2.89/2.86 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 2.89/2.86 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_norm__mult__ineq_0,axiom,
% 2.89/2.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.89/2.86 | 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) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__1__right_0,axiom,
% 2.89/2.86 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 2.89/2.86 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__1__left_0,axiom,
% 2.89/2.86 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 2.89/2.86 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_mult__1_0,axiom,
% 2.89/2.86 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 2.89/2.86 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Omul__1_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__mult__1_0,axiom,
% 2.89/2.86 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) = V_z ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Omul__c_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__mult__commute_0,axiom,
% 2.89/2.86 c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 2.89/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.89/2.86 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_real__mult__is__one_1,axiom,
% 2.89/2.86 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) ).
% 2.89/2.86
% 2.89/2.86 cnf(cls_conjecture_0,negated_conjecture,
% 2.89/2.86 ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 2.89/2.86 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 2.89/2.86 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 2.89/2.86 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 2.89/2.86 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 2.89/2.86 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 2.89/2.86 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 2.89/2.86 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 2.89/2.86 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 2.89/2.86 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 2.89/2.86 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 2.89/2.86 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 2.89/2.86 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 2.89/2.86 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 2.89/2.86 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 2.89/2.86 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 2.89/2.86 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 2.89/2.86 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 2.89/2.86 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 2.89/2.86 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 2.89/2.86 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 2.89/2.86 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 2.89/2.86 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 2.89/2.86 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 2.89/2.86 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 2.89/2.86 class_Ring__and__Field_Osemiring(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 2.89/2.86 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 2.89/2.86 class_Orderings_Opreorder(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 2.89/2.86 class_Orderings_Olinorder(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 2.89/2.86 class_Orderings_Oorder(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_nat__Power_Opower,axiom,
% 2.89/2.86 class_Power_Opower(tc_nat) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 2.89/2.86 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 2.89/2.86 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 2.89/2.86 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 2.89/2.86 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 2.89/2.86 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom,
% 2.89/2.86 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 2.89/2.86 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 2.89/2.86 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 2.89/2.86 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 2.89/2.86 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 2.89/2.86 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 2.89/2.86 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
% 2.89/2.86 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
% 2.89/2.86 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
% 2.89/2.86 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
% 2.89/2.86 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom,
% 2.89/2.86 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom,
% 2.89/2.86 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
% 2.89/2.86 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom,
% 2.89/2.86 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
% 2.89/2.86 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom,
% 2.89/2.86 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
% 2.89/2.86 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom,
% 2.89/2.86 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
% 2.89/2.86 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
% 2.89/2.86 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 2.89/2.86 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
% 2.89/2.86 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 2.89/2.86 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom,
% 2.89/2.86 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
% 2.89/2.86 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
% 2.89/2.86 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom,
% 2.89/2.86 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom,
% 2.89/2.86 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring,axiom,
% 2.89/2.86 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom,
% 2.89/2.86 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
% 2.89/2.86 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom,
% 2.89/2.86 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
% 2.89/2.86 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
% 2.89/2.86 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1,axiom,
% 2.89/2.86 class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
% 2.89/2.86 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
% 2.89/2.86 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
% 2.89/2.86 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom,
% 2.89/2.86 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom,
% 2.89/2.86 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom,
% 2.89/2.86 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
% 2.89/2.86 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1,axiom,
% 2.89/2.86 class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom,
% 2.89/2.86 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom,
% 2.89/2.86 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
% 2.89/2.86 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
% 2.89/2.86 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 2.89/2.86 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 2.89/2.86 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
% 2.89/2.86 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
% 2.89/2.86 class_Int_Onumber__ring(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_RealDef__Oreal__Power_Opower,axiom,
% 2.89/2.86 class_Power_Opower(tc_RealDef_Oreal) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 2.89/2.86 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 2.89/2.86 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 2.89/2.86 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
% 2.89/2.86 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
% 2.89/2.86 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
% 2.89/2.86 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
% 2.89/2.86 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
% 2.89/2.86 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
% 2.89/2.86 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 2.89/2.86 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
% 2.89/2.86 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 2.89/2.86 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom,
% 2.89/2.86 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
% 2.89/2.86 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
% 2.89/2.86 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
% 2.89/2.86 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
% 2.89/2.86 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom,
% 2.89/2.86 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1,axiom,
% 2.89/2.86 class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
% 2.89/2.86 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
% 2.89/2.86 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
% 2.89/2.86 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
% 2.89/2.86 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
% 2.89/2.86 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
% 2.89/2.86 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1,axiom,
% 2.89/2.86 class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
% 2.89/2.86 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
% 2.89/2.86 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
% 2.89/2.86 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 2.89/2.86 class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 cnf(clsarity_Complex__Ocomplex__Power_Opower,axiom,
% 2.89/2.86 class_Power_Opower(tc_Complex_Ocomplex) ).
% 2.89/2.86
% 2.89/2.86 %------------------------------------------------------------------------------
% 2.89/2.86 %-------------------------------------------
% 2.89/2.86 % Proof found
% 2.89/2.86 % SZS status Theorem for theBenchmark
% 2.89/2.86 % SZS output start Proof
% 2.89/2.86 %ClaNum:790(EqnAxiom:112)
% 2.89/2.86 %VarNum:4275(SingletonVarNum:1300)
% 2.89/2.86 %MaxLitNum:6
% 2.89/2.86 %MaxfuncDepth:3
% 2.89/2.86 %SharedTerms:144
% 2.89/2.86 %goalClause: 256
% 2.89/2.86 %singleGoalClaCount:1
% 2.89/2.86 [113]P1(a1)
% 2.89/2.86 [114]P1(a26)
% 2.89/2.86 [115]P2(a1)
% 2.89/2.86 [116]P2(a2)
% 2.89/2.86 [117]P3(a1)
% 2.89/2.86 [118]P3(a2)
% 2.89/2.86 [119]P25(a1)
% 2.89/2.86 [120]P26(a1)
% 2.89/2.86 [121]P26(a2)
% 2.89/2.86 [122]P48(a1)
% 2.89/2.86 [123]P49(a1)
% 2.89/2.86 [124]P49(a26)
% 2.89/2.86 [125]P15(a1)
% 2.89/2.86 [126]P15(a26)
% 2.89/2.86 [127]P8(a1)
% 2.89/2.86 [128]P8(a2)
% 2.89/2.86 [129]P8(a26)
% 2.89/2.86 [130]P16(a1)
% 2.89/2.86 [131]P27(a1)
% 2.89/2.86 [132]P27(a2)
% 2.89/2.86 [133]P27(a26)
% 2.89/2.86 [134]P9(a1)
% 2.89/2.86 [135]P9(a2)
% 2.89/2.86 [136]P9(a26)
% 2.89/2.86 [137]P28(a1)
% 2.89/2.86 [138]P28(a26)
% 2.89/2.86 [139]P29(a1)
% 2.89/2.86 [140]P29(a26)
% 2.89/2.86 [141]P17(a1)
% 2.89/2.86 [142]P39(a1)
% 2.89/2.86 [143]P39(a2)
% 2.89/2.86 [144]P18(a1)
% 2.89/2.86 [145]P31(a1)
% 2.89/2.86 [146]P31(a2)
% 2.89/2.86 [147]P32(a1)
% 2.89/2.86 [148]P32(a2)
% 2.89/2.86 [149]P40(a1)
% 2.89/2.86 [150]P40(a2)
% 2.89/2.86 [151]P4(a1)
% 2.89/2.86 [152]P4(a2)
% 2.89/2.86 [153]P30(a1)
% 2.89/2.86 [154]P30(a26)
% 2.89/2.86 [155]P19(a1)
% 2.89/2.86 [156]P37(a1)
% 2.89/2.86 [157]P34(a1)
% 2.89/2.86 [158]P34(a2)
% 2.89/2.86 [159]P50(a1)
% 2.89/2.86 [160]P51(a1)
% 2.89/2.86 [161]P51(a26)
% 2.89/2.86 [162]P42(a1)
% 2.89/2.86 [163]P42(a26)
% 2.89/2.86 [164]P20(a1)
% 2.89/2.86 [165]P20(a2)
% 2.89/2.86 [166]P20(a26)
% 2.89/2.86 [167]P24(a1)
% 2.89/2.86 [168]P24(a26)
% 2.89/2.86 [169]P23(a1)
% 2.89/2.86 [170]P23(a26)
% 2.89/2.86 [171]P53(a1)
% 2.89/2.86 [172]P56(a1)
% 2.89/2.86 [173]P56(a2)
% 2.89/2.86 [174]P56(a26)
% 2.89/2.86 [175]P43(a1)
% 2.89/2.86 [176]P43(a2)
% 2.89/2.86 [177]P43(a26)
% 2.89/2.86 [178]P44(a1)
% 2.89/2.86 [179]P44(a2)
% 2.89/2.86 [180]P44(a26)
% 2.89/2.86 [181]P33(a1)
% 2.89/2.86 [182]P33(a2)
% 2.89/2.86 [183]P33(a26)
% 2.89/2.86 [184]P57(a1)
% 2.89/2.86 [185]P57(a2)
% 2.89/2.86 [186]P21(a1)
% 2.89/2.86 [187]P41(a1)
% 2.89/2.86 [188]P41(a2)
% 2.89/2.86 [189]P10(a1)
% 2.89/2.86 [190]P10(a2)
% 2.89/2.86 [191]P10(a26)
% 2.89/2.86 [192]P13(a1)
% 2.89/2.86 [193]P13(a2)
% 2.89/2.86 [194]P13(a26)
% 2.89/2.86 [195]P52(a1)
% 2.89/2.86 [196]P52(a26)
% 2.89/2.86 [197]P58(a1)
% 2.89/2.86 [198]P58(a2)
% 2.89/2.86 [199]P61(a1)
% 2.89/2.86 [200]P61(a2)
% 2.89/2.86 [201]P22(a1)
% 2.89/2.86 [202]P22(a2)
% 2.89/2.86 [203]P22(a26)
% 2.89/2.86 [204]P38(a1)
% 2.89/2.86 [205]P38(a2)
% 2.89/2.86 [206]P38(a26)
% 2.89/2.86 [207]P14(a1)
% 2.89/2.86 [208]P14(a2)
% 2.89/2.86 [209]P14(a26)
% 2.89/2.86 [210]P62(a1)
% 2.89/2.86 [211]P62(a2)
% 2.89/2.86 [212]P62(a26)
% 2.89/2.86 [213]P60(a1)
% 2.89/2.86 [214]P60(a2)
% 2.89/2.86 [215]P54(a1)
% 2.89/2.86 [216]P54(a26)
% 2.89/2.86 [217]P59(a1)
% 2.89/2.86 [218]P59(a26)
% 2.89/2.86 [219]P55(a1)
% 2.89/2.86 [220]P45(a1)
% 2.89/2.86 [221]P45(a26)
% 2.89/2.86 [222]P47(a1)
% 2.89/2.86 [223]P47(a26)
% 2.89/2.86 [224]P46(a1)
% 2.89/2.86 [225]P35(a1)
% 2.89/2.86 [226]P35(a2)
% 2.89/2.86 [227]P36(a1)
% 2.89/2.86 [228]P36(a2)
% 2.89/2.86 [229]P11(a1)
% 2.89/2.86 [230]P11(a2)
% 2.89/2.86 [231]P11(a26)
% 2.89/2.86 [240]P6(a27,f4(a1),a1)
% 2.89/2.86 [241]P6(f3(a1),a27,a1)
% 2.89/2.86 [253]~E(f4(a1),f3(a1))
% 2.89/2.86 [232]E(f11(f3(a1)),f3(a1))
% 2.89/2.86 [233]E(f11(f4(a1)),f4(a1))
% 2.89/2.86 [234]E(f12(f3(a1)),f3(a1))
% 2.89/2.86 [235]E(f13(f3(a1)),f4(a1))
% 2.89/2.86 [255]~P6(f3(a1),f9(f3(a1),f3(a1),a1),a1)
% 2.89/2.86 [256]~P5(f9(a27,f14(a28,a2),a1),f9(f4(a1),f14(a28,a2),a1),a1)
% 2.89/2.86 [248]E(f9(f8(f4(a1),a1),f8(f4(a1),a1),a1),f4(a1))
% 2.89/2.86 [239]P5(x2391,x2391,a1)
% 2.89/2.86 [254]~P6(x2541,x2541,a1)
% 2.89/2.86 [244]P5(f12(x2441),f4(a1),a1)
% 2.89/2.86 [245]P5(f13(x2451),f4(a1),a1)
% 2.89/2.86 [246]P5(f5(x2461),f14(x2461,a2),a1)
% 2.89/2.86 [236]E(f13(f8(x2361,a1)),f13(x2361))
% 2.89/2.86 [237]E(f11(f8(x2371,a1)),f8(f11(x2371),a1))
% 2.89/2.86 [238]E(f12(f8(x2381,a1)),f8(f12(x2381),a1))
% 2.89/2.86 [242]E(f9(f4(a1),x2421,a1),x2421)
% 2.89/2.86 [249]P5(f8(f14(x2491,a2),a1),f14(x2491,a2),a1)
% 2.89/2.86 [247]E(f9(x2471,x2472,a1),f9(x2472,x2471,a1))
% 2.89/2.86 [250]E(f9(f11(x2501),f11(x2502),a1),f11(f9(x2501,x2502,a1)))
% 2.89/2.86 [252]P5(f8(f9(x2521,x2521,a1),a1),f9(x2522,x2522,a1),a1)
% 2.89/2.86 [251]E(f9(f9(x2511,x2512,a1),x2513,a1),f9(x2511,f9(x2512,x2513,a1),a1))
% 2.89/2.86 [257]~E(f11(x2571),f3(a1))+E(x2571,f3(a1))
% 2.89/2.86 [258]~E(f11(x2581),f4(a1))+E(x2581,f4(a1))
% 2.89/2.86 [260]~E(f13(x2601),f4(a1))+E(f12(x2601),f3(a1))
% 2.89/2.86 [262]~P56(x2621)+~E(f4(x2621),f3(x2621))
% 2.89/2.86 [329]~P49(x3291)+P6(f3(x3291),f4(x3291),x3291)
% 2.89/2.86 [330]~P49(x3301)+P5(f3(x3301),f4(x3301),x3301)
% 2.89/2.86 [362]~E(f11(x3621),f3(a1))+~P6(f3(a1),x3621,a1)
% 2.89/2.86 [374]~P49(x3741)+~P6(f4(x3741),f3(x3741),x3741)
% 2.89/2.86 [375]~P49(x3751)+~P5(f4(x3751),f3(x3751),x3751)
% 2.89/2.86 [422]~P6(x4221,f3(a1),a1)+P6(f11(x4221),f3(a1),a1)
% 2.89/2.86 [423]~P6(x4231,f4(a1),a1)+P6(f11(x4231),f4(a1),a1)
% 2.89/2.86 [424]~P5(x4241,f3(a1),a1)+P5(f11(x4241),f3(a1),a1)
% 2.89/2.86 [425]~P5(x4251,f4(a1),a1)+P5(f11(x4251),f4(a1),a1)
% 2.89/2.86 [427]~P6(f3(a1),x4271,a1)+P6(f3(a1),f11(x4271),a1)
% 2.89/2.86 [428]~P6(f4(a1),x4281,a1)+P6(f4(a1),f11(x4281),a1)
% 2.89/2.86 [430]~P5(f3(a1),x4301,a1)+P5(f3(a1),f11(x4301),a1)
% 2.89/2.86 [432]~P5(f4(a1),x4321,a1)+P5(f4(a1),f11(x4321),a1)
% 2.89/2.86 [433]~P6(f11(x4331),f3(a1),a1)+P6(x4331,f3(a1),a1)
% 2.89/2.86 [434]~P6(f11(x4341),f4(a1),a1)+P6(x4341,f4(a1),a1)
% 2.89/2.86 [435]~P5(f11(x4351),f3(a1),a1)+P5(x4351,f3(a1),a1)
% 2.89/2.86 [436]~P5(f11(x4361),f4(a1),a1)+P5(x4361,f4(a1),a1)
% 2.89/2.86 [437]~P6(f3(a1),f11(x4371),a1)+P6(f3(a1),x4371,a1)
% 2.89/2.86 [438]~P6(f4(a1),f11(x4381),a1)+P6(f4(a1),x4381,a1)
% 2.89/2.86 [439]~P5(f3(a1),f11(x4391),a1)+P5(f3(a1),x4391,a1)
% 2.89/2.86 [440]~P5(f4(a1),f11(x4401),a1)+P5(f4(a1),x4401,a1)
% 2.89/2.86 [445]E(x4451,f3(a1))+P6(f3(a1),f9(x4451,x4451,a1),a1)
% 2.89/2.86 [263]~P32(x2631)+E(f16(f3(a1),x2631),f3(x2631))
% 2.89/2.86 [264]~P32(x2641)+E(f16(f4(a1),x2641),f4(x2641))
% 2.89/2.86 [265]~P31(x2651)+E(f14(f3(x2651),x2651),f3(a1))
% 2.89/2.86 [266]~P36(x2661)+E(f14(f4(x2661),x2661),f4(a1))
% 2.89/2.86 [268]~P2(x2681)+E(f8(f3(x2681),x2681),f3(x2681))
% 2.89/2.86 [269]~P21(x2691)+E(f8(f3(x2691),x2691),f3(x2691))
% 2.89/2.86 [270]~P26(x2701)+E(f6(f3(x2701),x2701),f3(x2701))
% 2.89/2.86 [271]~P39(x2711)+E(f6(f4(x2711),x2711),f4(x2711))
% 2.89/2.86 [272]~P16(x2721)+E(f7(f3(x2721),x2721),f3(x2721))
% 2.89/2.86 [273]~P48(x2731)+E(f7(f4(x2731),x2731),f4(x2731))
% 2.89/2.86 [332]~P17(x3321)+E(f10(f3(x3321),f3(x3321),x3321),f3(x3321))
% 2.89/2.86 [363]~P31(x3631)+P5(f14(f3(x3631),x3631),f3(a1),a1)
% 2.89/2.86 [367]~P16(x3671)+P5(f7(f3(x3671),x3671),f3(x3671),x3671)
% 2.89/2.86 [441]~P31(x4411)+~P6(f3(a1),f14(f3(x4411),x4411),a1)
% 2.89/2.86 [444]~P16(x4441)+~P6(f3(x4441),f7(f3(x4441),x4441),x4441)
% 2.89/2.86 [500]~P49(x5001)+P6(f3(x5001),f10(f4(x5001),f4(x5001),x5001),x5001)
% 2.89/2.86 [593]~P50(x5931)+E(f10(f9(f3(x5931),f3(x5931),x5931),f9(f3(x5931),f3(x5931),x5931),x5931),f3(x5931))
% 2.89/2.86 [780]~P50(x7801)+P5(f10(f9(f3(x7801),f3(x7801),x7801),f9(f3(x7801),f3(x7801),x7801),x7801),f3(x7801),x7801)
% 2.89/2.86 [790]~P50(x7901)+~P6(f3(x7901),f10(f9(f3(x7901),f3(x7901),x7901),f9(f3(x7901),f3(x7901),x7901),x7901),x7901)
% 2.89/2.86 [300]~P28(x3002)+P5(x3001,x3001,x3002)
% 2.89/2.86 [301]~P29(x3012)+P5(x3011,x3011,x3012)
% 2.89/2.86 [351]~P6(x3512,x3512,x3511)+~P28(x3511)
% 2.89/2.86 [352]~P6(x3522,x3522,x3521)+~P29(x3521)
% 2.89/2.86 [353]~P6(x3532,x3532,x3531)+~P30(x3531)
% 2.89/2.86 [368]P5(x3682,x3681,a1)+P5(x3681,x3682,a1)
% 2.89/2.86 [403]~P6(x4031,x4032,a1)+P5(x4031,x4032,a1)
% 2.89/2.86 [259]E(x2591,x2592)+~E(f11(x2591),f11(x2592))
% 2.89/2.86 [302]~P12(x3022)+E(f9(x3021,x3021,x3022),x3021)
% 2.89/2.86 [335]~P16(x3352)+P5(x3351,f7(x3351,x3352),x3352)
% 2.89/2.86 [336]~P34(x3362)+P6(f3(a1),f17(x3361,x3362),a1)
% 2.89/2.86 [337]~P34(x3372)+P6(f3(a1),f20(x3371,x3372),a1)
% 2.89/2.86 [338]~P34(x3382)+P6(f3(a1),f23(x3381,x3382),a1)
% 2.89/2.86 [339]~P31(x3392)+P5(f3(a1),f14(x3391,x3392),a1)
% 2.89/2.86 [340]~P34(x3402)+P5(f3(a1),f18(x3401,x3402),a1)
% 2.89/2.86 [341]~P34(x3412)+P5(f3(a1),f24(x3411,x3412),a1)
% 2.89/2.86 [342]~P34(x3422)+P5(f3(a1),f21(x3421,x3422),a1)
% 2.89/2.86 [354]~P16(x3541)+P5(f3(x3541),f7(x3542,x3541),x3541)
% 2.89/2.86 [376]~P16(x3762)+P5(f8(x3761,x3762),f7(x3761,x3762),x3762)
% 2.89/2.86 [402]~P31(x4021)+~P6(f14(x4022,x4021),f3(a1),a1)
% 2.89/2.86 [407]~P16(x4071)+~P6(f7(x4072,x4071),f3(x4071),x4071)
% 2.89/2.86 [412]~P6(x4121,x4122,a1)+P6(f11(x4121),f11(x4122),a1)
% 2.89/2.86 [413]~P5(x4131,x4132,a1)+P5(f11(x4131),f11(x4132),a1)
% 2.89/2.86 [442]P6(x4421,x4422,a1)+~P6(f11(x4421),f11(x4422),a1)
% 2.89/2.86 [443]P5(x4431,x4432,a1)+~P5(f11(x4431),f11(x4432),a1)
% 2.89/2.86 [453]~P50(x4531)+P5(f3(x4531),f9(x4532,x4532,x4531),x4531)
% 2.89/2.86 [570]~P50(x5701)+~P6(f9(x5702,x5702,x5701),f3(x5701),x5701)
% 2.89/2.86 [287]~P2(x2872)+E(f8(f8(x2871,x2872),x2872),x2871)
% 2.89/2.86 [288]~P7(x2882)+E(f8(f8(x2881,x2882),x2882),x2881)
% 2.89/2.86 [297]~P16(x2972)+E(f7(f8(x2971,x2972),x2972),f7(x2971,x2972))
% 2.89/2.86 [298]~P16(x2982)+E(f7(f7(x2981,x2982),x2982),f7(x2981,x2982))
% 2.89/2.86 [299]~P31(x2992)+E(f14(f8(x2991,x2992),x2992),f14(x2991,x2992))
% 2.89/2.86 [304]~P8(x3042)+E(f10(x3041,f3(x3042),x3042),x3041)
% 2.89/2.86 [305]~P27(x3052)+E(f10(x3051,f3(x3052),x3052),x3051)
% 2.89/2.86 [306]~P20(x3062)+E(f10(x3061,f3(x3062),x3062),x3061)
% 2.89/2.86 [307]~P27(x3072)+E(f9(x3071,f4(x3072),x3072),x3071)
% 2.89/2.86 [308]~P22(x3082)+E(f9(x3081,f4(x3082),x3082),x3081)
% 2.89/2.86 [309]~P8(x3091)+E(f10(f3(x3091),x3092,x3091),x3092)
% 2.89/2.86 [311]~P27(x3111)+E(f10(f3(x3111),x3112,x3111),x3112)
% 2.89/2.86 [312]~P20(x3121)+E(f10(f3(x3121),x3122,x3121),x3122)
% 2.89/2.86 [314]~P27(x3141)+E(f9(f4(x3141),x3142,x3141),x3142)
% 2.89/2.86 [315]~P22(x3151)+E(f9(f4(x3151),x3152,x3151),x3152)
% 2.89/2.86 [316]~P14(x3161)+E(f9(f4(x3161),x3162,x3161),x3162)
% 2.89/2.86 [317]~P27(x3172)+E(f9(x3171,f3(x3172),x3172),f3(x3172))
% 2.89/2.86 [319]~P34(x3192)+E(f9(x3191,f3(x3192),x3192),f3(x3192))
% 2.89/2.86 [320]~P44(x3202)+E(f9(x3201,f3(x3202),x3202),f3(x3202))
% 2.89/2.86 [321]~P61(x3212)+E(f9(x3211,f3(x3212),x3212),f3(x3212))
% 2.89/2.86 [322]~P22(x3221)+E(f15(f4(x3221),x3222,x3221),f4(x3221))
% 2.89/2.86 [324]~P27(x3241)+E(f9(f3(x3241),x3242,x3241),f3(x3241))
% 2.89/2.86 [326]~P34(x3261)+E(f9(f3(x3261),x3262,x3261),f3(x3261))
% 2.89/2.86 [327]~P44(x3271)+E(f9(f3(x3271),x3272,x3271),f3(x3271))
% 2.89/2.86 [328]~P61(x3281)+E(f9(f3(x3281),x3282,x3281),f3(x3281))
% 2.89/2.86 [334]~P32(x3342)+E(f16(f8(x3341,a1),x3342),f8(f16(x3341,x3342),x3342))
% 2.89/2.86 [345]~P2(x3452)+E(f10(x3451,f8(x3451,x3452),x3452),f3(x3452))
% 2.89/2.86 [347]~P2(x3472)+E(f10(f8(x3471,x3472),x3471,x3472),f3(x3472))
% 2.89/2.86 [348]~P3(x3482)+E(f10(f8(x3481,x3482),x3481,x3482),f3(x3482))
% 2.89/2.86 [408]~P16(x4082)+P5(f8(f7(x4081,x4082),x4082),f3(x4082),x4082)
% 2.89/2.86 [448]~P40(x4482)+E(f9(f8(x4481,x4482),f8(x4481,x4482),x4482),f9(x4481,x4481,x4482))
% 2.89/2.86 [449]~P48(x4492)+E(f9(f7(x4491,x4492),f7(x4491,x4492),x4492),f9(x4491,x4491,x4492))
% 2.89/2.86 [465]~P49(x4652)+P6(x4651,f10(x4651,f4(x4652),x4652),x4652)
% 2.89/2.86 [559]E(x5591,f3(a1))+~E(f9(x5592,x5592,a1),f8(f9(x5591,x5591,a1),a1))
% 2.89/2.86 [560]E(x5601,f3(a1))+~E(f9(x5601,x5601,a1),f8(f9(x5602,x5602,a1),a1))
% 2.89/2.86 [377]~P4(x3771)+E(f9(f8(f4(x3771),x3771),x3772,x3771),f8(x3772,x3771))
% 2.89/2.86 [558]~P27(x5582)+E(f10(x5581,x5581,x5582),f9(f10(f4(x5582),f4(x5582),x5582),x5581,x5582))
% 2.89/2.86 [381]~P8(x3813)+E(f10(x3811,x3812,x3813),f10(x3812,x3811,x3813))
% 2.89/2.86 [383]~P27(x3833)+E(f10(x3831,x3832,x3833),f10(x3832,x3831,x3833))
% 2.89/2.86 [385]~P27(x3853)+E(f9(x3851,x3852,x3853),f9(x3852,x3851,x3853))
% 2.89/2.86 [446]~P58(x4462)+E(f9(f8(x4461,x4462),x4463,x4462),f9(x4461,f8(x4463,x4462),x4462))
% 2.89/2.86 [447]~P58(x4472)+E(f9(f8(x4471,x4472),f8(x4473,x4472),x4472),f9(x4471,x4473,x4472))
% 2.89/2.86 [489]~P3(x4892)+E(f10(f8(x4891,x4892),f10(x4893,x4891,x4892),x4892),x4893)
% 2.89/2.86 [490]~P2(x4902)+E(f10(f8(x4901,x4902),f10(x4901,x4903,x4902),x4902),x4903)
% 2.89/2.86 [508]~P58(x5083)+E(f9(x5081,f8(x5082,x5083),x5083),f8(f9(x5081,x5082,x5083),x5083))
% 2.89/2.86 [509]~P58(x5092)+E(f9(f8(x5091,x5092),x5093,x5092),f8(f9(x5091,x5093,x5092),x5092))
% 2.89/2.86 [510]~P48(x5102)+E(f15(f7(x5101,x5102),x5103,x5102),f7(f15(x5101,x5103,x5102),x5102))
% 2.89/2.86 [512]~P34(x5123)+E(f9(x5121,f8(x5122,x5123),x5123),f8(f9(x5121,x5122,x5123),x5123))
% 2.89/2.86 [514]~P34(x5142)+E(f9(f8(x5141,x5142),x5143,x5142),f8(f9(x5141,x5143,x5142),x5142))
% 2.89/2.86 [539]~P12(x5393)+E(f9(x5391,f9(x5391,x5392,x5393),x5393),f9(x5391,x5392,x5393))
% 2.89/2.86 [540]~P48(x5401)+P5(f3(x5401),f15(f7(x5402,x5401),x5403,x5401),x5401)
% 2.89/2.86 [543]~P32(x5432)+E(f9(f16(x5431,x5432),f16(x5433,x5432),x5432),f16(f9(x5431,x5433,a1),x5432))
% 2.89/2.86 [544]~P35(x5442)+E(f9(f14(x5441,x5442),f14(x5443,x5442),a1),f14(f9(x5441,x5443,x5442),x5442))
% 2.89/2.86 [545]~P2(x5452)+E(f10(f8(x5451,x5452),f8(x5453,x5452),x5452),f8(f10(x5453,x5451,x5452),x5452))
% 2.89/2.86 [546]~P3(x5462)+E(f10(f8(x5461,x5462),f8(x5463,x5462),x5462),f8(f10(x5461,x5463,x5462),x5462))
% 2.89/2.86 [547]~P48(x5472)+E(f9(f7(x5471,x5472),f7(x5473,x5472),x5472),f7(f9(x5471,x5473,x5472),x5472))
% 2.89/2.86 [605]~P22(x6053)+E(f9(f15(x6051,x6052,x6053),x6051,x6053),f9(x6051,f15(x6051,x6052,x6053),x6053))
% 2.89/2.86 [677]~P60(x6771)+E(f9(f15(f8(f4(x6771),x6771),x6772,x6771),f15(x6773,x6772,x6771),x6771),f15(f8(x6773,x6771),x6772,x6771))
% 2.89/2.86 [726]~P34(x7263)+P5(f14(f9(x7261,x7262,x7263),x7263),f9(f14(x7262,x7263),f24(x7261,x7263),a1),a1)
% 2.89/2.86 [727]~P34(x7273)+P5(f14(f9(x7271,x7272,x7273),x7273),f9(f14(x7272,x7273),f23(x7271,x7273),a1),a1)
% 2.89/2.86 [728]~P34(x7283)+P5(f14(f9(x7281,x7282,x7283),x7283),f9(f14(x7282,x7283),f25(x7281,x7283),a1),a1)
% 2.89/2.86 [729]~P34(x7293)+P5(f14(f9(x7291,x7292,x7293),x7293),f9(f14(x7291,x7293),f14(x7292,x7293),a1),a1)
% 2.89/2.86 [730]~P34(x7303)+P5(f14(f9(x7301,x7302,x7303),x7303),f9(f14(x7301,x7303),f21(x7302,x7303),a1),a1)
% 2.89/2.86 [731]~P34(x7313)+P5(f14(f9(x7311,x7312,x7313),x7313),f9(f14(x7311,x7313),f20(x7312,x7313),a1),a1)
% 2.89/2.86 [732]~P34(x7323)+P5(f14(f9(x7321,x7322,x7323),x7323),f9(f14(x7321,x7323),f22(x7322,x7323),a1),a1)
% 2.89/2.86 [734]~P16(x7343)+P5(f7(f10(x7341,x7342,x7343),x7343),f10(f7(x7341,x7343),f7(x7342,x7343),x7343),x7343)
% 2.89/2.86 [735]~P46(x7353)+P5(f7(f9(x7351,x7352,x7353),x7353),f9(f7(x7351,x7353),f7(x7352,x7353),x7353),x7353)
% 2.89/2.86 [766]~P50(x7661)+P5(f3(x7661),f10(f9(x7662,x7662,x7661),f9(x7663,x7663,x7661),x7661),x7661)
% 2.89/2.86 [787]~P50(x7871)+~P6(f10(f9(x7872,x7872,x7871),f9(x7873,x7873,x7871),x7871),f3(x7871),x7871)
% 2.89/2.86 [538]~P2(x5382)+E(f10(x5381,f10(f8(x5381,x5382),x5383,x5382),x5382),x5383)
% 2.89/2.86 [583]~P48(x5832)+E(f7(f15(f8(x5831,x5832),x5833,x5832),x5832),f7(f15(x5831,x5833,x5832),x5832))
% 2.89/2.86 [618]~P16(x6182)+E(f7(f10(f7(x6181,x6182),f7(x6183,x6182),x6182),x6182),f10(f7(x6181,x6182),f7(x6183,x6182),x6182))
% 2.89/2.86 [619]~P27(x6193)+E(f10(x6191,f9(x6192,x6191,x6193),x6193),f9(f10(x6192,f4(x6193),x6193),x6191,x6193))
% 2.89/2.86 [620]~P27(x6203)+E(f10(f9(x6201,x6202,x6203),x6202,x6203),f9(f10(x6201,f4(x6203),x6203),x6202,x6203))
% 2.89/2.86 [594]~P3(x5944)+E(f10(x5941,f10(x5942,x5943,x5944),x5944),f10(x5942,f10(x5941,x5943,x5944),x5944))
% 2.89/2.86 [595]~P8(x5954)+E(f10(x5951,f10(x5952,x5953,x5954),x5954),f10(x5952,f10(x5951,x5953,x5954),x5954))
% 2.89/2.86 [596]~P27(x5964)+E(f10(x5961,f10(x5962,x5963,x5964),x5964),f10(x5962,f10(x5961,x5963,x5964),x5964))
% 2.89/2.86 [597]~P27(x5974)+E(f9(x5971,f9(x5972,x5973,x5974),x5974),f9(x5972,f9(x5971,x5973,x5974),x5974))
% 2.89/2.86 [602]~P8(x6023)+E(f10(f10(x6021,x6022,x6023),x6024,x6023),f10(x6021,f10(x6022,x6024,x6023),x6023))
% 2.89/2.86 [603]~P27(x6033)+E(f10(f10(x6031,x6032,x6033),x6034,x6033),f10(x6031,f10(x6032,x6034,x6033),x6033))
% 2.89/2.86 [604]~P9(x6043)+E(f10(f10(x6041,x6042,x6043),x6044,x6043),f10(x6041,f10(x6042,x6044,x6043),x6043))
% 2.89/2.86 [606]~P27(x6063)+E(f9(f9(x6061,x6062,x6063),x6064,x6063),f9(x6061,f9(x6062,x6064,x6063),x6063))
% 2.89/2.86 [607]~P11(x6073)+E(f9(f9(x6071,x6072,x6073),x6074,x6073),f9(x6071,f9(x6072,x6074,x6073),x6073))
% 2.89/2.86 [608]~P27(x6083)+E(f10(f10(x6081,x6082,x6083),x6084,x6083),f10(f10(x6081,x6084,x6083),x6082,x6083))
% 2.89/2.86 [609]~P27(x6093)+E(f9(f9(x6091,x6092,x6093),x6094,x6093),f9(f9(x6091,x6094,x6093),x6092,x6093))
% 2.89/2.86 [682]~P27(x6823)+E(f10(f9(x6821,x6822,x6823),f9(x6821,x6824,x6823),x6823),f9(x6821,f10(x6822,x6824,x6823),x6823))
% 2.89/2.86 [684]~P34(x6843)+E(f10(f9(x6841,x6842,x6843),f9(x6841,x6844,x6843),x6843),f9(x6841,f10(x6842,x6844,x6843),x6843))
% 2.89/2.86 [685]~P27(x6853)+E(f9(f15(x6851,x6852,x6853),f15(x6854,x6852,x6853),x6853),f15(f9(x6851,x6854,x6853),x6852,x6853))
% 2.89/2.86 [686]~P14(x6863)+E(f9(f15(x6861,x6862,x6863),f15(x6864,x6862,x6863),x6863),f15(f9(x6861,x6864,x6863),x6862,x6863))
% 2.89/2.86 [689]~P34(x6893)+E(f10(f9(x6891,x6892,x6893),f9(x6894,x6892,x6893),x6893),f9(f10(x6891,x6894,x6893),x6892,x6893))
% 2.89/2.86 [690]~P38(x6903)+E(f10(f9(x6901,x6902,x6903),f9(x6904,x6902,x6903),x6903),f9(f10(x6901,x6904,x6903),x6902,x6903))
% 2.89/2.86 [691]~P27(x6913)+E(f10(f9(x6911,x6912,x6913),f9(x6914,x6912,x6913),x6913),f9(f10(x6911,x6914,x6913),x6912,x6913))
% 2.89/2.86 [784]~P34(x7843)+P5(f14(f9(x7841,x7842,x7843),x7843),f9(f9(f14(x7841,x7843),f14(x7842,x7843),a1),f18(x7844,x7843),a1),a1)
% 2.89/2.86 [785]~P34(x7853)+P5(f14(f9(x7851,x7852,x7853),x7853),f9(f9(f14(x7851,x7853),f14(x7852,x7853),a1),f17(x7854,x7853),a1),a1)
% 2.89/2.86 [786]~P34(x7863)+P5(f14(f9(x7861,x7862,x7863),x7863),f9(f9(f14(x7861,x7863),f14(x7862,x7863),a1),f19(x7864,x7863),a1),a1)
% 2.89/2.86 [739]~P27(x7393)+E(f10(f10(x7391,x7392,x7393),f10(x7394,x7395,x7393),x7393),f10(f10(x7391,x7394,x7393),f10(x7392,x7395,x7393),x7393))
% 2.89/2.86 [740]~P27(x7403)+E(f9(f9(x7401,x7402,x7403),f9(x7404,x7405,x7403),x7403),f9(f9(x7401,x7404,x7403),f9(x7402,x7405,x7403),x7403))
% 2.89/2.86 [783]~P62(x7833)+E(f10(f9(x7831,x7832,x7833),f10(f9(x7834,x7832,x7833),x7835,x7833),x7833),f10(f9(f10(x7831,x7834,x7833),x7832,x7833),x7835,x7833))
% 2.89/2.86 [277]~P26(x2771)+~P41(x2771)+E(f6(f4(x2771),x2771),f4(x2771))
% 2.89/2.86 [370]E(x3701,f4(a1))+~E(f9(x3701,x3701,a1),f4(a1))+E(x3701,f8(f4(a1),a1))
% 2.89/2.86 [469]~P1(x4691)+~P5(f3(x4691),f3(x4691),x4691)+E(f10(f3(x4691),f3(x4691),x4691),f3(x4691))
% 2.89/2.86 [405]E(x4051,x4052)+P6(x4051,x4052,a1)+~P5(x4051,x4052,a1)
% 2.89/2.86 [450]E(x4501,x4502)+~P5(x4502,x4501,a1)+~P5(x4501,x4502,a1)
% 2.89/2.86 [275]~P21(x2752)+~E(f8(x2751,x2752),x2751)+E(x2751,f3(x2752))
% 2.89/2.86 [278]~P31(x2782)+E(x2781,f3(x2782))+~E(f14(x2781,x2782),f3(a1))
% 2.89/2.86 [279]~P32(x2792)+~E(f16(x2791,x2792),f3(x2792))+E(x2791,f3(a1))
% 2.89/2.86 [280]~P2(x2802)+~E(f8(x2801,x2802),f3(x2802))+E(x2801,f3(x2802))
% 2.89/2.86 [281]~P39(x2812)+~E(f6(x2811,x2812),f3(x2812))+E(x2811,f3(x2812))
% 2.89/2.86 [282]~P16(x2822)+~E(f7(x2821,x2822),f3(x2822))+E(x2821,f3(x2822))
% 2.89/2.86 [283]~P2(x2831)+~E(f8(x2832,x2831),f3(x2831))+E(f3(x2831),x2832)
% 2.89/2.86 [333]~P37(x3332)+P6(x3331,f3(x3332),x3332)+E(f7(x3331,x3332),x3331)
% 2.89/2.86 [357]~P31(x3572)+E(x3571,f3(x3572))+P6(f3(a1),f14(x3571,x3572),a1)
% 2.89/2.86 [361]~P16(x3612)+P6(f3(x3612),f7(x3611,x3612),x3612)+E(x3611,f3(x3612))
% 2.89/2.86 [365]~P17(x3652)+~E(f10(x3651,x3651,x3652),f3(x3652))+E(x3651,f3(x3652))
% 2.89/2.86 [391]~P16(x3912)+~P6(f3(x3912),x3911,x3912)+E(f7(x3911,x3912),x3911)
% 2.89/2.86 [392]~P16(x3922)+~P5(f3(x3922),x3921,x3922)+E(f7(x3921,x3922),x3921)
% 2.89/2.86 [399]~P16(x3992)+~P6(x3991,f3(x3992),x3992)+E(f7(x3991,x3992),f8(x3991,x3992))
% 2.89/2.86 [400]~P16(x4002)+~P5(x4001,f3(x4002),x4002)+E(f7(x4001,x4002),f8(x4001,x4002))
% 2.89/2.86 [401]~P37(x4012)+~P6(x4011,f3(x4012),x4012)+E(f7(x4011,x4012),f8(x4011,x4012))
% 2.89/2.86 [406]~P31(x4062)+E(x4061,f3(x4062))+~P5(f14(x4061,x4062),f3(a1),a1)
% 2.89/2.86 [411]~P16(x4112)+~P5(f7(x4111,x4112),f3(x4112),x4112)+E(x4111,f3(x4112))
% 2.89/2.86 [470]~P48(x4702)+~P6(x4701,f3(x4702),x4702)+P6(x4701,f8(x4701,x4702),x4702)
% 2.89/2.86 [471]~P17(x4712)+~P5(x4711,f3(x4712),x4712)+P5(x4711,f8(x4711,x4712),x4712)
% 2.89/2.86 [472]~P21(x4722)+~P5(x4721,f3(x4722),x4722)+P5(x4721,f8(x4721,x4722),x4722)
% 2.89/2.86 [473]~P17(x4732)+~P5(f3(x4732),x4731,x4732)+P5(f8(x4731,x4732),x4731,x4732)
% 2.89/2.86 [474]~P21(x4742)+~P5(f3(x4742),x4741,x4742)+P5(f8(x4741,x4742),x4741,x4742)
% 2.89/2.86 [478]~P18(x4781)+~P6(x4782,f3(x4781),x4781)+P6(f3(x4781),f8(x4782,x4781),x4781)
% 2.89/2.86 [479]~P18(x4791)+~P5(x4792,f3(x4791),x4791)+P5(f3(x4791),f8(x4792,x4791),x4791)
% 2.89/2.86 [480]~P25(x4801)+~P6(f3(x4801),x4802,x4801)+P6(f3(x4801),f6(x4802,x4801),x4801)
% 2.89/2.86 [481]~P25(x4812)+~P6(x4811,f3(x4812),x4812)+P6(f6(x4811,x4812),f3(x4812),x4812)
% 2.89/2.86 [482]~P18(x4822)+~P6(f3(x4822),x4821,x4822)+P6(f8(x4821,x4822),f3(x4822),x4822)
% 2.89/2.86 [483]~P18(x4832)+~P5(f3(x4832),x4831,x4832)+P5(f8(x4831,x4832),f3(x4832),x4832)
% 2.89/2.86 [484]~P48(x4842)+~P6(x4841,f8(x4841,x4842),x4842)+P6(x4841,f3(x4842),x4842)
% 2.89/2.86 [485]~P17(x4852)+~P5(x4851,f8(x4851,x4852),x4852)+P5(x4851,f3(x4852),x4852)
% 2.89/2.86 [486]~P21(x4862)+~P5(x4861,f8(x4861,x4862),x4862)+P5(x4861,f3(x4862),x4862)
% 2.89/2.87 [487]~P17(x4871)+~P5(f8(x4872,x4871),x4872,x4871)+P5(f3(x4871),x4872,x4871)
% 2.89/2.87 [488]~P21(x4881)+~P5(f8(x4882,x4881),x4882,x4881)+P5(f3(x4881),x4882,x4881)
% 2.89/2.87 [504]~P18(x5042)+~P6(f3(x5042),f8(x5041,x5042),x5042)+P6(x5041,f3(x5042),x5042)
% 2.89/2.87 [505]~P18(x5052)+~P5(f3(x5052),f8(x5051,x5052),x5052)+P5(x5051,f3(x5052),x5052)
% 2.89/2.87 [506]~P18(x5061)+~P6(f8(x5062,x5061),f3(x5061),x5061)+P6(f3(x5061),x5062,x5061)
% 2.89/2.87 [507]~P18(x5071)+~P5(f8(x5072,x5071),f3(x5071),x5071)+P5(f3(x5071),x5072,x5071)
% 2.89/2.87 [561]~P17(x5611)+~P6(f3(x5611),x5612,x5611)+P6(f3(x5611),f10(x5612,x5612,x5611),x5611)
% 2.89/2.87 [563]~P17(x5631)+~P5(f3(x5631),x5632,x5631)+P5(f3(x5631),f10(x5632,x5632,x5631),x5631)
% 2.89/2.87 [567]~P48(x5672)+~P6(x5671,f3(x5672),x5672)+P6(f10(x5671,x5671,x5672),f3(x5672),x5672)
% 2.89/2.87 [568]~P17(x5682)+~P6(x5681,f3(x5682),x5682)+P6(f10(x5681,x5681,x5682),f3(x5682),x5682)
% 2.89/2.87 [569]~P17(x5692)+~P5(x5691,f3(x5692),x5692)+P5(f10(x5691,x5691,x5692),f3(x5692),x5692)
% 2.89/2.87 [610]~P48(x6102)+~P6(f10(x6101,x6101,x6102),f3(x6102),x6102)+P6(x6101,f3(x6102),x6102)
% 2.89/2.87 [612]~P17(x6122)+~P6(f10(x6121,x6121,x6122),f3(x6122),x6122)+P6(x6121,f3(x6122),x6122)
% 2.89/2.87 [613]~P17(x6132)+~P5(f10(x6131,x6131,x6132),f3(x6132),x6132)+P5(x6131,f3(x6132),x6132)
% 2.89/2.87 [614]~P17(x6141)+~P6(f3(x6141),f10(x6142,x6142,x6141),x6141)+P6(f3(x6141),x6142,x6141)
% 2.89/2.87 [615]~P17(x6151)+~P5(f3(x6151),f10(x6152,x6152,x6151),x6151)+P5(f3(x6151),x6152,x6151)
% 2.89/2.87 [617]~P6(f3(a1),x6172,a1)+~P6(f3(a1),x6171,a1)+P6(f3(a1),f9(x6171,x6172,a1),a1)
% 2.89/2.87 [291]~P39(x2912)+E(x2911,f3(x2912))+E(f6(f6(x2911,x2912),x2912),x2911)
% 2.89/2.87 [295]~P26(x2952)+~P39(x2952)+E(f6(f6(x2951,x2952),x2952),x2951)
% 2.89/2.87 [331]~P40(x3312)+~P4(x3312)+E(f10(x3311,f3(x3312),x3312),x3311)
% 2.89/2.87 [349]~P39(x3492)+E(x3491,f3(x3492))+E(f6(f8(x3491,x3492),x3492),f8(f6(x3491,x3492),x3492))
% 2.89/2.87 [350]~P25(x3502)+E(x3501,f3(x3502))+E(f7(f6(x3501,x3502),x3502),f6(f7(x3501,x3502),x3502))
% 2.89/2.87 [355]~P26(x3552)+~P39(x3552)+E(f6(f8(x3551,x3552),x3552),f8(f6(x3551,x3552),x3552))
% 2.89/2.87 [356]~P25(x3562)+~P26(x3562)+E(f7(f6(x3561,x3562),x3562),f6(f7(x3561,x3562),x3562))
% 2.89/2.87 [358]~P39(x3582)+E(x3581,f3(x3582))+E(f9(x3581,f6(x3581,x3582),x3582),f4(x3582))
% 2.89/2.87 [359]~P39(x3592)+E(x3591,f3(x3592))+E(f9(f6(x3591,x3592),x3591,x3592),f4(x3592))
% 2.89/2.87 [360]~P41(x3602)+E(x3601,f3(x3602))+E(f9(f6(x3601,x3602),x3601,x3602),f4(x3602))
% 2.89/2.87 [388]P5(x3882,x3881,x3883)+~P30(x3883)+P6(x3881,x3882,x3883)
% 2.89/2.87 [390]P5(x3902,x3901,x3903)+~P30(x3903)+P5(x3901,x3902,x3903)
% 2.89/2.87 [409]~P28(x4093)+~P6(x4091,x4092,x4093)+P5(x4091,x4092,x4093)
% 2.89/2.87 [410]~P29(x4103)+~P6(x4101,x4102,x4103)+P5(x4101,x4102,x4103)
% 2.89/2.87 [455]~P6(x4553,x4552,x4551)+~P28(x4551)+~P6(x4552,x4553,x4551)
% 2.89/2.87 [456]~P5(x4563,x4562,x4561)+~P28(x4561)+~P6(x4562,x4563,x4561)
% 2.89/2.87 [457]~P6(x4573,x4572,x4571)+~P29(x4571)+~P6(x4572,x4573,x4571)
% 2.89/2.87 [458]~P6(x4583,x4582,x4581)+~P30(x4581)+~P6(x4582,x4583,x4581)
% 2.89/2.87 [460]~P5(x4603,x4602,x4601)+~P30(x4601)+~P6(x4602,x4603,x4601)
% 2.89/2.87 [537]~P5(x5371,x5373,a1)+P5(x5371,x5372,a1)+~P5(x5373,x5372,a1)
% 2.89/2.87 [292]~P2(x2923)+E(x2921,x2922)+~E(f8(x2921,x2923),f8(x2922,x2923))
% 2.89/2.87 [293]~P7(x2933)+E(x2931,x2932)+~E(f8(x2931,x2933),f8(x2932,x2933))
% 2.89/2.87 [294]~P32(x2943)+E(x2941,x2942)+~E(f16(x2941,x2943),f16(x2942,x2943))
% 2.89/2.87 [366]~P57(x3662)+~E(f15(x3661,x3663,x3662),f3(x3662))+E(x3661,f3(x3662))
% 2.89/2.87 [378]~P2(x3783)+~E(f10(x3781,x3782,x3783),f3(x3783))+E(x3781,f8(x3782,x3783))
% 2.89/2.87 [379]~P2(x3792)+~E(f10(x3791,x3793,x3792),f3(x3792))+E(f8(x3791,x3792),x3793)
% 2.89/2.87 [380]~P39(x3802)+~E(f9(x3801,x3803,x3802),f4(x3802))+E(f6(x3801,x3802),x3803)
% 2.89/2.87 [451]E(x4511,x4512)+~E(f9(x4513,x4511,a1),f9(x4513,x4512,a1))+E(x4513,f3(a1))
% 2.89/2.87 [452]E(x4521,x4522)+~E(f9(x4521,x4523,a1),f9(x4522,x4523,a1))+E(x4523,f3(a1))
% 2.89/2.87 [476]~P48(x4763)+P6(x4761,x4762,x4763)+~P6(f7(x4761,x4763),x4762,x4763)
% 2.89/2.87 [477]~P16(x4773)+P5(x4771,x4772,x4773)+~P5(f7(x4771,x4773),x4772,x4773)
% 2.89/2.87 [501]~P18(x5012)+~P6(x5013,x5011,x5012)+P6(f8(x5011,x5012),f8(x5013,x5012),x5012)
% 2.89/2.87 [502]~P18(x5022)+~P5(x5023,x5021,x5022)+P5(f8(x5021,x5022),f8(x5023,x5022),x5022)
% 2.89/2.87 [527]~P18(x5273)+~P6(x5272,f8(x5271,x5273),x5273)+P6(x5271,f8(x5272,x5273),x5273)
% 2.89/2.87 [529]~P18(x5293)+~P5(x5292,f8(x5291,x5293),x5293)+P5(x5291,f8(x5292,x5293),x5293)
% 2.89/2.87 [530]~P48(x5302)+~P6(f7(x5301,x5302),x5303,x5302)+P6(f8(x5301,x5302),x5303,x5302)
% 2.89/2.87 [532]~P18(x5322)+~P6(f8(x5323,x5322),x5321,x5322)+P6(f8(x5321,x5322),x5323,x5322)
% 2.89/2.87 [533]~P16(x5332)+~P5(f7(x5331,x5332),x5333,x5332)+P5(f8(x5331,x5332),x5333,x5332)
% 2.89/2.87 [535]~P18(x5352)+~P5(f8(x5353,x5352),x5351,x5352)+P5(f8(x5351,x5352),x5353,x5352)
% 2.89/2.87 [541]~P18(x5413)+P6(x5411,x5412,x5413)+~P6(f8(x5412,x5413),f8(x5411,x5413),x5413)
% 2.89/2.87 [542]~P18(x5423)+P5(x5421,x5422,x5423)+~P5(f8(x5422,x5423),f8(x5421,x5423),x5423)
% 2.89/2.87 [562]~P49(x5621)+~P6(f3(x5621),x5622,x5621)+P6(f3(x5621),f15(x5622,x5623,x5621),x5621)
% 2.89/2.87 [564]~P48(x5641)+~P5(f3(x5641),x5642,x5641)+P5(f3(x5641),f15(x5642,x5643,x5641),x5641)
% 2.89/2.87 [565]~P49(x5651)+~P5(f3(x5651),x5652,x5651)+P5(f3(x5651),f15(x5652,x5653,x5651),x5651)
% 2.89/2.87 [566]~P49(x5661)+~P5(f4(x5661),x5662,x5661)+P5(f4(x5661),f15(x5662,x5663,x5661),x5661)
% 2.89/2.87 [587]~P17(x5873)+~P5(x5871,f8(x5872,x5873),x5873)+P5(f10(x5871,x5872,x5873),f3(x5873),x5873)
% 2.89/2.87 [611]~P48(x6112)+~P6(f15(x6111,x6113,x6112),f3(x6112),x6112)+P6(x6111,f3(x6112),x6112)
% 2.89/2.87 [622]~P17(x6223)+~P5(f10(x6221,x6222,x6223),f3(x6223),x6223)+P5(x6221,f8(x6222,x6223),x6223)
% 2.89/2.87 [678]~P6(x6781,x6783,a1)+P6(f9(x6781,x6782,a1),f9(x6783,x6782,a1),a1)+~P6(f3(a1),x6782,a1)
% 2.89/2.87 [679]~P6(x6792,x6793,a1)+P6(f9(x6791,x6792,a1),f9(x6791,x6793,a1),a1)+~P6(f3(a1),x6791,a1)
% 2.89/2.87 [680]~P5(x6801,x6803,a1)+P5(f9(x6801,x6802,a1),f9(x6803,x6802,a1),a1)+~P6(f3(a1),x6802,a1)
% 2.89/2.87 [681]~P5(x6812,x6813,a1)+P5(f9(x6811,x6812,a1),f9(x6811,x6813,a1),a1)+~P6(f3(a1),x6811,a1)
% 2.89/2.87 [749]P6(x7491,x7492,a1)+~P6(f9(x7491,x7493,a1),f9(x7492,x7493,a1),a1)+~P6(f3(a1),x7493,a1)
% 2.89/2.87 [750]P5(x7501,x7502,a1)+~P5(f9(x7503,x7501,a1),f9(x7503,x7502,a1),a1)+~P6(f3(a1),x7503,a1)
% 2.89/2.87 [751]P5(x7511,x7512,a1)+~P5(f9(x7511,x7513,a1),f9(x7512,x7513,a1),a1)+~P6(f3(a1),x7513,a1)
% 2.89/2.87 [525]~P39(x5252)+E(x5251,f3(x5252))+E(f15(f6(x5251,x5252),x5253,x5252),f6(f15(x5251,x5253,x5252),x5252))
% 2.89/2.87 [536]~P26(x5362)+~P39(x5362)+E(f15(f6(x5361,x5362),x5363,x5362),f6(f15(x5361,x5363,x5362),x5362))
% 2.89/2.87 [556]~P26(x5562)+~P41(x5562)+E(f9(f6(x5561,x5562),f6(x5563,x5562),x5562),f6(f9(x5561,x5563,x5562),x5562))
% 2.89/2.87 [588]~P48(x5882)+~P5(f3(x5882),x5883,x5882)+E(f9(f7(x5881,x5882),x5883,x5882),f7(f9(x5881,x5883,x5882),x5882))
% 2.89/2.87 [692]~P50(x6922)+E(x6921,f3(x6922))+~E(f10(f9(x6923,x6923,x6922),f9(x6921,x6921,x6922),x6922),f3(x6922))
% 2.89/2.87 [693]~P50(x6932)+E(x6931,f3(x6932))+~E(f10(f9(x6931,x6931,x6932),f9(x6933,x6933,x6932),x6932),f3(x6932))
% 2.89/2.87 [725]~P49(x7251)+~P6(f4(x7251),x7252,x7251)+P6(f4(x7251),f9(x7252,f15(x7252,x7253,x7251),x7251),x7251)
% 2.89/2.87 [765]~P49(x7653)+~P6(f4(x7653),x7651,x7653)+P6(f15(x7651,x7652,x7653),f9(x7651,f15(x7651,x7652,x7653),x7653),x7653)
% 2.89/2.87 [767]~P50(x7672)+E(x7671,f3(x7672))+P6(f3(x7672),f10(f9(x7673,x7673,x7672),f9(x7671,x7671,x7672),x7672),x7672)
% 2.89/2.87 [768]~P50(x7682)+E(x7681,f3(x7682))+P6(f3(x7682),f10(f9(x7681,x7681,x7682),f9(x7683,x7683,x7682),x7682),x7682)
% 2.89/2.87 [788]~P50(x7882)+E(x7881,f3(x7882))+~P5(f10(f9(x7883,x7883,x7882),f9(x7881,x7881,x7882),x7882),f3(x7882),x7882)
% 2.89/2.87 [789]~P50(x7892)+E(x7891,f3(x7892))+~P5(f10(f9(x7891,x7891,x7892),f9(x7893,x7893,x7892),x7892),f3(x7892),x7892)
% 2.89/2.87 [462]~P10(x4624)+E(x4621,x4622)+~E(f10(x4623,x4621,x4624),f10(x4623,x4622,x4624))
% 2.89/2.87 [463]~P13(x4634)+E(x4631,x4632)+~E(f10(x4633,x4631,x4634),f10(x4633,x4632,x4634))
% 2.89/2.87 [464]~P13(x4644)+E(x4641,x4642)+~E(f10(x4641,x4643,x4644),f10(x4642,x4643,x4644))
% 2.89/2.87 [627]~P15(x6273)+~P6(x6271,x6274,x6273)+P6(f10(x6271,x6272,x6273),f10(x6274,x6272,x6273),x6273)
% 2.89/2.87 [628]~P24(x6283)+~P6(x6281,x6284,x6283)+P6(f10(x6281,x6282,x6283),f10(x6284,x6282,x6283),x6283)
% 2.89/2.87 [629]~P15(x6293)+~P6(x6292,x6294,x6293)+P6(f10(x6291,x6292,x6293),f10(x6291,x6294,x6293),x6293)
% 2.89/2.87 [630]~P24(x6303)+~P6(x6302,x6304,x6303)+P6(f10(x6301,x6302,x6303),f10(x6301,x6304,x6303),x6303)
% 2.89/2.87 [631]~P15(x6313)+~P5(x6311,x6314,x6313)+P5(f10(x6311,x6312,x6313),f10(x6314,x6312,x6313),x6313)
% 2.89/2.87 [632]~P23(x6323)+~P5(x6321,x6324,x6323)+P5(f10(x6321,x6322,x6323),f10(x6324,x6322,x6323),x6323)
% 2.89/2.87 [633]~P15(x6333)+~P5(x6332,x6334,x6333)+P5(f10(x6331,x6332,x6333),f10(x6331,x6334,x6333),x6333)
% 2.89/2.87 [634]~P23(x6343)+~P5(x6342,x6344,x6343)+P5(f10(x6341,x6342,x6343),f10(x6341,x6344,x6343),x6343)
% 2.89/2.87 [721]~P15(x7213)+P6(x7211,x7212,x7213)+~P6(f10(x7214,x7211,x7213),f10(x7214,x7212,x7213),x7213)
% 2.89/2.87 [722]~P15(x7223)+P6(x7221,x7222,x7223)+~P6(f10(x7221,x7224,x7223),f10(x7222,x7224,x7223),x7223)
% 2.89/2.87 [723]~P15(x7233)+P5(x7231,x7232,x7233)+~P5(f10(x7234,x7231,x7233),f10(x7234,x7232,x7233),x7233)
% 2.89/2.87 [724]~P15(x7243)+P5(x7241,x7242,x7243)+~P5(f10(x7241,x7244,x7243),f10(x7242,x7244,x7243),x7243)
% 2.89/2.87 [574]~P3(x5743)+E(x5741,f8(x5742,x5743))+~E(f10(x5741,f10(x5744,x5742,x5743),x5743),x5744)
% 2.89/2.87 [720]~P19(x7204)+~P5(f10(x7201,x7203,x7204),x7202,x7204)+P5(x7201,f10(x7202,f7(x7203,x7204),x7204),x7204)
% 2.89/2.87 [746]~P40(x7463)+~P4(x7463)+E(f10(f9(x7461,x7462,x7463),f9(x7461,x7464,x7463),x7463),f10(f9(x7461,x7464,x7463),f9(x7461,x7462,x7463),x7463))
% 2.89/2.87 [670]~P3(x6703)+E(f10(x6701,x6702,x6703),x6704)+~E(f10(x6701,f10(x6705,x6702,x6703),x6703),f10(x6705,x6704,x6703))
% 2.89/2.87 [290]~P26(x2902)+~P41(x2902)+~E(f6(x2901,x2902),f4(x2902))+E(x2901,f4(x2902))
% 2.89/2.87 [343]~P30(x3432)+~P19(x3432)+P6(x3431,f3(x3432),x3432)+E(f7(x3431,x3432),x3431)
% 2.89/2.87 [404]~P30(x4042)+~P19(x4042)+~P6(x4041,f3(x4042),x4042)+E(f7(x4041,x4042),f8(x4041,x4042))
% 2.89/2.87 [493]~P25(x4931)+~P26(x4931)+~P5(f3(x4931),x4932,x4931)+P5(f3(x4931),f6(x4932,x4931),x4931)
% 2.89/2.87 [495]~P25(x4952)+~P26(x4952)+~P5(x4951,f3(x4952),x4952)+P6(f6(x4951,x4952),f4(x4952),x4952)
% 2.89/2.87 [496]~P25(x4962)+~P26(x4962)+~P5(x4961,f3(x4962),x4962)+P5(f6(x4961,x4962),f3(x4962),x4962)
% 2.89/2.87 [497]~P25(x4972)+~P26(x4972)+~P5(x4971,f3(x4972),x4972)+P5(f6(x4971,x4972),f4(x4972),x4972)
% 2.89/2.87 [498]~P25(x4982)+~P26(x4982)+~P6(f4(x4982),x4981,x4982)+P6(f6(x4981,x4982),f4(x4982),x4982)
% 2.89/2.87 [499]~P25(x4992)+~P26(x4992)+~P5(f4(x4992),x4991,x4992)+P5(f6(x4991,x4992),f4(x4992),x4992)
% 2.89/2.87 [515]~P25(x5152)+~P6(f6(x5151,x5152),f3(x5152),x5152)+P6(x5151,f3(x5152),x5152)+E(x5151,f3(x5152))
% 2.89/2.87 [516]~P25(x5162)+~P6(f3(x5162),f6(x5161,x5162),x5162)+P6(f3(x5162),x5161,x5162)+E(x5161,f3(x5162))
% 2.89/2.87 [517]~P25(x5172)+~P26(x5172)+~P6(f4(x5172),f6(x5171,x5172),x5172)+P6(x5171,f4(x5172),x5172)
% 2.89/2.87 [518]~P25(x5182)+~P26(x5182)+~P5(f4(x5182),f6(x5181,x5182),x5182)+P5(x5181,f4(x5182),x5182)
% 2.89/2.87 [519]~P25(x5192)+~P26(x5192)+~P6(f6(x5191,x5192),f3(x5192),x5192)+P6(x5191,f3(x5192),x5192)
% 2.89/2.87 [520]~P25(x5202)+~P26(x5202)+~P5(f6(x5201,x5202),f3(x5202),x5202)+P5(x5201,f3(x5202),x5202)
% 2.89/2.87 [521]~P25(x5211)+~P26(x5211)+~P6(f3(x5211),f6(x5212,x5211),x5211)+P6(f3(x5211),x5212,x5211)
% 2.89/2.87 [522]~P25(x5221)+~P26(x5221)+~P6(f4(x5221),f6(x5222,x5221),x5221)+P6(f3(x5221),x5222,x5221)
% 2.89/2.87 [523]~P25(x5231)+~P26(x5231)+~P5(f4(x5231),f6(x5232,x5231),x5231)+P6(f3(x5231),x5232,x5231)
% 2.89/2.87 [524]~P25(x5241)+~P26(x5241)+~P5(f3(x5241),f6(x5242,x5241),x5241)+P5(f3(x5241),x5242,x5241)
% 2.89/2.87 [393]P6(x3931,x3932,x3933)+~P48(x3933)+E(x3931,x3932)+P6(x3932,x3931,x3933)
% 2.89/2.87 [397]P6(x3971,x3972,x3973)+~P30(x3973)+E(x3971,x3972)+P6(x3972,x3971,x3973)
% 2.89/2.87 [419]~P29(x4193)+~P5(x4191,x4192,x4193)+E(x4191,x4192)+P6(x4191,x4192,x4193)
% 2.89/2.87 [421]~P30(x4213)+~P5(x4211,x4212,x4213)+E(x4211,x4212)+P6(x4211,x4212,x4213)
% 2.89/2.87 [468]~P5(x4682,x4681,x4683)+~P5(x4681,x4682,x4683)+E(x4681,x4682)+~P29(x4683)
% 2.89/2.87 [503]P5(x5032,x5031,x5033)+~P28(x5033)+~P5(x5031,x5032,x5033)+P6(x5031,x5032,x5033)
% 2.89/2.87 [296]~P26(x2963)+~P39(x2963)+E(x2961,x2962)+~E(f6(x2961,x2963),f6(x2962,x2963))
% 2.89/2.87 [369]~P40(x3692)+~P4(x3692)+~E(f10(x3693,x3691,x3692),x3693)+E(x3691,f3(x3692))
% 2.89/2.87 [372]~P43(x3722)+~E(f9(x3723,x3721,x3722),f3(x3722))+E(x3721,f3(x3722))+E(x3723,f3(x3722))
% 2.89/2.87 [373]~P61(x3732)+~E(f9(x3733,x3731,x3732),f3(x3732))+E(x3731,f3(x3732))+E(x3733,f3(x3732))
% 2.89/2.87 [491]~P40(x4913)+E(x4911,x4912)+~E(f9(x4911,x4911,x4913),f9(x4912,x4912,x4913))+E(x4911,f8(x4912,x4913))
% 2.89/2.87 [577]~P25(x5772)+~P6(x5773,x5771,x5772)+~P6(x5771,f3(x5772),x5772)+P6(f6(x5771,x5772),f6(x5773,x5772),x5772)
% 2.89/2.87 [578]~P25(x5782)+~P5(x5783,x5781,x5782)+~P6(x5781,f3(x5782),x5782)+P5(f6(x5781,x5782),f6(x5783,x5782),x5782)
% 2.89/2.87 [579]~P25(x5792)+~P6(x5793,x5791,x5792)+~P6(f3(x5792),x5793,x5792)+P6(f6(x5791,x5792),f6(x5793,x5792),x5792)
% 2.89/2.87 [580]~P25(x5802)+~P5(x5803,x5801,x5802)+~P6(f3(x5802),x5803,x5802)+P5(f6(x5801,x5802),f6(x5803,x5802),x5802)
% 2.89/2.87 [584]~P48(x5842)+~P6(x5841,x5843,x5842)+~P6(f8(x5841,x5842),x5843,x5842)+P6(f7(x5841,x5842),x5843,x5842)
% 2.89/2.87 [586]~P16(x5862)+~P5(x5861,x5863,x5862)+~P5(f8(x5861,x5862),x5863,x5862)+P5(f7(x5861,x5862),x5863,x5862)
% 2.89/2.87 [589]~P25(x5893)+P6(x5891,x5892,x5893)+~P6(x5891,f3(x5893),x5893)+~P6(f6(x5892,x5893),f6(x5891,x5893),x5893)
% 2.89/2.87 [590]~P25(x5903)+P5(x5901,x5902,x5903)+~P6(x5901,f3(x5903),x5903)+~P5(f6(x5902,x5903),f6(x5901,x5903),x5903)
% 2.89/2.87 [591]~P25(x5913)+P6(x5911,x5912,x5913)+~P6(f3(x5913),x5912,x5913)+~P6(f6(x5912,x5913),f6(x5911,x5913),x5913)
% 2.89/2.87 [592]~P25(x5923)+P5(x5921,x5922,x5923)+~P6(f3(x5923),x5922,x5923)+~P5(f6(x5922,x5923),f6(x5921,x5923),x5923)
% 2.89/2.87 [616]~P48(x6162)+~P5(f15(x6161,x6163,x6162),f3(x6162),x6162)+P5(x6161,f3(x6162),x6162)+E(x6161,f3(x6162))
% 2.89/2.87 [635]~P50(x6351)+~P6(x6353,f3(x6351),x6351)+~P6(x6352,f3(x6351),x6351)+P6(f3(x6351),f9(x6352,x6353,x6351),x6351)
% 2.89/2.87 [636]~P50(x6361)+~P5(x6363,f3(x6361),x6361)+~P5(x6362,f3(x6361),x6361)+P5(f3(x6361),f9(x6362,x6363,x6361),x6361)
% 2.89/2.87 [638]~P55(x6381)+~P5(x6383,f3(x6381),x6381)+~P5(x6382,f3(x6381),x6381)+P5(f3(x6381),f9(x6382,x6383,x6381),x6381)
% 2.89/2.87 [639]~P1(x6391)+~P6(f3(x6391),x6393,x6391)+~P6(f3(x6391),x6392,x6391)+P6(f3(x6391),f10(x6392,x6393,x6391),x6391)
% 2.89/2.87 [640]~P1(x6401)+~P6(f3(x6401),x6403,x6401)+~P5(f3(x6401),x6402,x6401)+P6(f3(x6401),f10(x6402,x6403,x6401),x6401)
% 2.89/2.87 [641]~P1(x6411)+~P6(f3(x6411),x6412,x6411)+~P5(f3(x6411),x6413,x6411)+P6(f3(x6411),f10(x6412,x6413,x6411),x6411)
% 2.89/2.87 [642]~P51(x6421)+~P6(f3(x6421),x6423,x6421)+~P6(f3(x6421),x6422,x6421)+P6(f3(x6421),f9(x6422,x6423,x6421),x6421)
% 2.89/2.87 [643]~P49(x6431)+~P6(f4(x6431),x6433,x6431)+~P6(f4(x6431),x6432,x6431)+P6(f4(x6431),f9(x6432,x6433,x6431),x6431)
% 2.89/2.87 [644]~P1(x6441)+~P5(f3(x6441),x6443,x6441)+~P5(f3(x6441),x6442,x6441)+P5(f3(x6441),f10(x6442,x6443,x6441),x6441)
% 2.89/2.87 [645]~P50(x6451)+~P5(f3(x6451),x6453,x6451)+~P5(f3(x6451),x6452,x6451)+P5(f3(x6451),f9(x6452,x6453,x6451),x6451)
% 2.89/2.87 [646]~P54(x6461)+~P5(f3(x6461),x6463,x6461)+~P5(f3(x6461),x6462,x6461)+P5(f3(x6461),f9(x6462,x6463,x6461),x6461)
% 2.89/2.87 [647]~P55(x6471)+~P5(f3(x6471),x6473,x6471)+~P5(f3(x6471),x6472,x6471)+P5(f3(x6471),f9(x6472,x6473,x6471),x6471)
% 2.89/2.87 [648]~P1(x6483)+~P6(x6482,f3(x6483),x6483)+~P6(x6481,f3(x6483),x6483)+P6(f10(x6481,x6482,x6483),f3(x6483),x6483)
% 2.89/2.87 [649]~P1(x6493)+~P6(x6492,f3(x6493),x6493)+~P5(x6491,f3(x6493),x6493)+P6(f10(x6491,x6492,x6493),f3(x6493),x6493)
% 2.89/2.87 [650]~P1(x6503)+~P6(x6501,f3(x6503),x6503)+~P5(x6502,f3(x6503),x6503)+P6(f10(x6501,x6502,x6503),f3(x6503),x6503)
% 2.89/2.87 [651]~P1(x6513)+~P5(x6512,f3(x6513),x6513)+~P5(x6511,f3(x6513),x6513)+P5(f10(x6511,x6512,x6513),f3(x6513),x6513)
% 2.89/2.87 [652]~P51(x6523)+~P6(x6522,f3(x6523),x6523)+~P6(f3(x6523),x6521,x6523)+P6(f9(x6521,x6522,x6523),f3(x6523),x6523)
% 2.89/2.87 [654]~P51(x6543)+~P6(x6541,f3(x6543),x6543)+~P6(f3(x6543),x6542,x6543)+P6(f9(x6541,x6542,x6543),f3(x6543),x6543)
% 2.89/2.87 [655]~P50(x6553)+~P5(x6552,f3(x6553),x6553)+~P5(f3(x6553),x6551,x6553)+P5(f9(x6551,x6552,x6553),f3(x6553),x6553)
% 2.89/2.87 [656]~P50(x6563)+~P5(x6561,f3(x6563),x6563)+~P5(f3(x6563),x6562,x6563)+P5(f9(x6561,x6562,x6563),f3(x6563),x6563)
% 2.89/2.87 [658]~P54(x6583)+~P5(x6582,f3(x6583),x6583)+~P5(f3(x6583),x6581,x6583)+P5(f9(x6581,x6582,x6583),f3(x6583),x6583)
% 2.89/2.87 [661]~P54(x6613)+~P5(x6611,f3(x6613),x6613)+~P5(f3(x6613),x6612,x6613)+P5(f9(x6611,x6612,x6613),f3(x6613),x6613)
% 2.89/2.87 [662]~P50(x6622)+~P5(f9(x6623,x6621,x6622),f3(x6622),x6622)+P5(x6621,f3(x6622),x6622)+P5(x6623,f3(x6622),x6622)
% 2.89/2.87 [663]~P50(x6632)+~P5(f3(x6632),f9(x6633,x6631,x6632),x6632)+P5(x6631,f3(x6632),x6632)+P5(f3(x6632),x6633,x6632)
% 2.89/2.87 [664]~P50(x6642)+~P5(f3(x6642),f9(x6641,x6643,x6642),x6642)+P5(x6641,f3(x6642),x6642)+P5(f3(x6642),x6643,x6642)
% 2.89/2.87 [665]~P50(x6652)+~P5(f3(x6652),f9(x6653,x6651,x6652),x6652)+P5(x6651,f3(x6652),x6652)+P5(f3(x6652),x6651,x6652)
% 2.89/2.87 [666]~P50(x6662)+~P5(f3(x6662),f9(x6661,x6663,x6662),x6662)+P5(x6661,f3(x6662),x6662)+P5(f3(x6662),x6661,x6662)
% 2.89/2.87 [667]~P50(x6672)+~P5(f9(x6673,x6671,x6672),f3(x6672),x6672)+P5(x6671,f3(x6672),x6672)+P5(f3(x6672),x6671,x6672)
% 2.89/2.87 [668]~P50(x6682)+~P5(f9(x6681,x6683,x6682),f3(x6682),x6682)+P5(x6681,f3(x6682),x6682)+P5(f3(x6682),x6681,x6682)
% 2.89/2.87 [669]~P50(x6691)+~P5(f9(x6692,x6693,x6691),f3(x6691),x6691)+P5(f3(x6691),x6692,x6691)+P5(f3(x6691),x6693,x6691)
% 2.89/2.87 [675]~P51(x6751)+~P6(f3(x6751),f9(x6753,x6752,x6751),x6751)+P6(f3(x6751),x6752,x6751)+~P6(f3(x6751),x6753,x6751)
% 2.89/2.87 [676]~P51(x6761)+~P6(f3(x6761),f9(x6762,x6763,x6761),x6761)+P6(f3(x6761),x6762,x6761)+~P6(f3(x6761),x6763,x6761)
% 2.89/2.87 [557]~P39(x5572)+E(x5571,f3(x5572))+E(x5573,f3(x5572))+E(f9(f6(x5571,x5572),f6(x5573,x5572),x5572),f6(f9(x5573,x5571,x5572),x5572))
% 2.89/2.87 [671]~P53(x6712)+~P5(x6713,f3(x6712),x6712)+~P5(x6711,f3(x6712),x6712)+E(f9(f7(x6711,x6712),f7(x6713,x6712),x6712),f7(f9(x6711,x6713,x6712),x6712))
% 2.89/2.87 [672]~P53(x6722)+~P5(x6723,f3(x6722),x6722)+~P5(f3(x6722),x6721,x6722)+E(f9(f7(x6721,x6722),f7(x6723,x6722),x6722),f7(f9(x6721,x6723,x6722),x6722))
% 2.89/2.87 [673]~P53(x6732)+~P5(x6731,f3(x6732),x6732)+~P5(f3(x6732),x6733,x6732)+E(f9(f7(x6731,x6732),f7(x6733,x6732),x6732),f7(f9(x6731,x6733,x6732),x6732))
% 2.89/2.87 [674]~P53(x6742)+~P5(f3(x6742),x6743,x6742)+~P5(f3(x6742),x6741,x6742)+E(f9(f7(x6741,x6742),f7(x6743,x6742),x6742),f7(f9(x6741,x6743,x6742),x6742))
% 2.89/2.87 [752]~P39(x7522)+E(x7521,f3(x7522))+E(x7523,f3(x7522))+E(f9(f9(f6(x7523,x7522),f10(x7523,x7521,x7522),x7522),f6(x7521,x7522),x7522),f10(f6(x7523,x7522),f6(x7521,x7522),x7522))
% 2.89/2.87 [753]~P41(x7532)+E(x7531,f3(x7532))+E(x7533,f3(x7532))+E(f9(f9(f10(x7533,x7531,x7532),f6(x7533,x7532),x7532),f6(x7531,x7532),x7532),f10(f6(x7533,x7532),f6(x7531,x7532),x7532))
% 2.89/2.87 [779]~P49(x7793)+~P6(x7791,f4(x7793),x7793)+~P6(f3(x7793),x7791,x7793)+P6(f9(x7791,f15(x7791,x7792,x7793),x7793),f15(x7791,x7792,x7793),x7793)
% 2.89/2.87 [548]~P28(x5483)+~P6(x5481,x5484,x5483)+P6(x5481,x5482,x5483)+~P6(x5484,x5482,x5483)
% 2.89/2.87 [549]~P28(x5493)+~P5(x5491,x5494,x5493)+P6(x5491,x5492,x5493)+~P6(x5494,x5492,x5493)
% 2.89/2.87 [550]~P28(x5503)+~P5(x5504,x5502,x5503)+P6(x5501,x5502,x5503)+~P6(x5501,x5504,x5503)
% 2.89/2.87 [551]~P29(x5513)+~P6(x5511,x5514,x5513)+P6(x5511,x5512,x5513)+~P6(x5514,x5512,x5513)
% 2.89/2.87 [552]~P29(x5523)+~P5(x5521,x5524,x5523)+P6(x5521,x5522,x5523)+~P6(x5524,x5522,x5523)
% 2.89/2.87 [553]~P29(x5533)+~P5(x5534,x5532,x5533)+P6(x5531,x5532,x5533)+~P6(x5531,x5534,x5533)
% 2.89/2.87 [554]~P28(x5543)+~P5(x5541,x5544,x5543)+P5(x5541,x5542,x5543)+~P5(x5544,x5542,x5543)
% 2.89/2.87 [555]~P29(x5553)+~P5(x5551,x5554,x5553)+P5(x5551,x5552,x5553)+~P5(x5554,x5552,x5553)
% 2.89/2.87 [475]~P40(x4754)+~P4(x4754)+E(x4751,x4752)+~E(f10(x4753,x4751,x4754),f10(x4753,x4752,x4754))
% 2.89/2.87 [573]~P49(x5734)+E(x5731,x5732)+~P6(f4(x5734),x5733,x5734)+~E(f15(x5733,x5731,x5734),f15(x5733,x5732,x5734))
% 2.89/2.87 [621]~P49(x6214)+~P6(x6211,x6213,x6214)+~P6(f3(x6214),x6212,x6214)+P6(x6211,f10(x6212,x6213,x6214),x6214)
% 2.89/2.87 [701]~P50(x7013)+~P6(x7014,x7011,x7013)+~P6(x7012,f3(x7013),x7013)+P6(f9(x7011,x7012,x7013),f9(x7014,x7012,x7013),x7013)
% 2.89/2.87 [704]~P50(x7043)+~P6(x7044,x7042,x7043)+~P6(x7041,f3(x7043),x7043)+P6(f9(x7041,x7042,x7043),f9(x7041,x7044,x7043),x7043)
% 2.89/2.87 [705]~P55(x7053)+~P5(x7054,x7051,x7053)+~P5(x7052,f3(x7053),x7053)+P5(f9(x7051,x7052,x7053),f9(x7054,x7052,x7053),x7053)
% 2.89/2.87 [706]~P50(x7063)+~P5(x7064,x7062,x7063)+~P6(x7061,f3(x7063),x7063)+P5(f9(x7061,x7062,x7063),f9(x7061,x7064,x7063),x7063)
% 2.89/2.87 [707]~P55(x7073)+~P5(x7074,x7072,x7073)+~P5(x7071,f3(x7073),x7073)+P5(f9(x7071,x7072,x7073),f9(x7071,x7074,x7073),x7073)
% 2.89/2.87 [708]~P50(x7083)+~P6(x7081,x7084,x7083)+~P6(f3(x7083),x7082,x7083)+P6(f9(x7081,x7082,x7083),f9(x7084,x7082,x7083),x7083)
% 2.89/2.87 [709]~P51(x7093)+~P6(x7091,x7094,x7093)+~P6(f3(x7093),x7092,x7093)+P6(f9(x7091,x7092,x7093),f9(x7094,x7092,x7093),x7093)
% 2.89/2.87 [711]~P50(x7113)+~P6(x7112,x7114,x7113)+~P6(f3(x7113),x7111,x7113)+P6(f9(x7111,x7112,x7113),f9(x7111,x7114,x7113),x7113)
% 2.89/2.87 [712]~P51(x7123)+~P6(x7122,x7124,x7123)+~P6(f3(x7123),x7121,x7123)+P6(f9(x7121,x7122,x7123),f9(x7121,x7124,x7123),x7123)
% 2.89/2.87 [713]~P42(x7133)+~P6(x7132,x7134,x7133)+~P6(f3(x7133),x7131,x7133)+P6(f9(x7131,x7132,x7133),f9(x7131,x7134,x7133),x7133)
% 2.89/2.87 [714]~P49(x7143)+~P5(x7141,x7144,x7143)+~P5(f3(x7143),x7141,x7143)+P5(f15(x7141,x7142,x7143),f15(x7144,x7142,x7143),x7143)
% 2.89/2.87 [715]~P45(x7153)+~P5(x7151,x7154,x7153)+~P5(f3(x7153),x7152,x7153)+P5(f9(x7151,x7152,x7153),f9(x7154,x7152,x7153),x7153)
% 2.89/2.87 [716]~P50(x7163)+~P5(x7162,x7164,x7163)+~P6(f3(x7163),x7161,x7163)+P5(f9(x7161,x7162,x7163),f9(x7161,x7164,x7163),x7163)
% 2.89/2.87 [717]~P45(x7173)+~P5(x7172,x7174,x7173)+~P5(f3(x7173),x7171,x7173)+P5(f9(x7171,x7172,x7173),f9(x7171,x7174,x7173),x7173)
% 2.89/2.87 [718]~P47(x7183)+~P5(x7182,x7184,x7183)+~P5(f3(x7183),x7181,x7183)+P5(f9(x7181,x7182,x7183),f9(x7181,x7184,x7183),x7183)
% 2.89/2.87 [737]P6(x7372,x7371,x7373)+~P50(x7373)+P6(x7371,x7372,x7373)+~P6(f9(x7374,x7371,x7373),f9(x7374,x7372,x7373),x7373)
% 2.89/2.87 [738]P6(x7382,x7381,x7383)+~P50(x7383)+P6(x7381,x7382,x7383)+~P6(f9(x7381,x7384,x7383),f9(x7382,x7384,x7383),x7383)
% 2.89/2.87 [741]~P50(x7413)+P6(x7411,x7412,x7413)+~P6(f9(x7411,x7414,x7413),f9(x7412,x7414,x7413),x7413)+P6(x7414,f3(x7413),x7413)
% 2.89/2.87 [742]~P50(x7423)+P6(x7421,x7422,x7423)+~P6(f9(x7424,x7421,x7423),f9(x7424,x7422,x7423),x7423)+P6(x7424,f3(x7423),x7423)
% 2.89/2.87 [743]~P50(x7433)+P6(x7431,x7432,x7433)+~P6(f9(x7434,x7432,x7433),f9(x7434,x7431,x7433),x7433)+P6(f3(x7433),x7434,x7433)
% 2.89/2.87 [744]~P50(x7443)+P6(x7441,x7442,x7443)+~P6(f9(x7442,x7444,x7443),f9(x7441,x7444,x7443),x7443)+P6(f3(x7443),x7444,x7443)
% 2.89/2.87 [747]~P50(x7472)+~P6(f9(x7473,x7471,x7472),f9(x7474,x7471,x7472),x7472)+P6(x7471,f3(x7472),x7472)+P6(f3(x7472),x7471,x7472)
% 2.89/2.87 [748]~P50(x7482)+~P6(f9(x7481,x7483,x7482),f9(x7481,x7484,x7482),x7482)+P6(x7481,f3(x7482),x7482)+P6(f3(x7482),x7481,x7482)
% 2.89/2.87 [754]~P50(x7543)+P6(x7541,x7542,x7543)+~P6(f9(x7544,x7542,x7543),f9(x7544,x7541,x7543),x7543)+~P6(x7544,f3(x7543),x7543)
% 2.89/2.87 [755]~P50(x7553)+P5(x7551,x7552,x7553)+~P5(f9(x7554,x7552,x7553),f9(x7554,x7551,x7553),x7553)+~P6(x7554,f3(x7553),x7553)
% 2.89/2.87 [756]~P49(x7563)+P6(x7561,x7562,x7563)+~P5(f3(x7563),x7562,x7563)+~P6(f15(x7561,x7564,x7563),f15(x7562,x7564,x7563),x7563)
% 2.89/2.87 [757]~P50(x7573)+P6(x7571,x7572,x7573)+~P6(f9(x7574,x7571,x7573),f9(x7574,x7572,x7573),x7573)+~P6(f3(x7573),x7574,x7573)
% 2.89/2.87 [758]~P51(x7583)+P6(x7581,x7582,x7583)+~P6(f9(x7584,x7581,x7583),f9(x7584,x7582,x7583),x7583)+~P5(f3(x7583),x7584,x7583)
% 2.89/2.87 [759]~P51(x7593)+P6(x7591,x7592,x7593)+~P6(f9(x7591,x7594,x7593),f9(x7592,x7594,x7593),x7593)+~P5(f3(x7593),x7594,x7593)
% 2.89/2.87 [760]~P52(x7603)+P6(x7601,x7602,x7603)+~P6(f9(x7604,x7601,x7603),f9(x7604,x7602,x7603),x7603)+~P5(f3(x7603),x7604,x7603)
% 2.89/2.87 [761]~P52(x7613)+P6(x7611,x7612,x7613)+~P6(f9(x7611,x7614,x7613),f9(x7612,x7614,x7613),x7613)+~P5(f3(x7613),x7614,x7613)
% 2.89/2.87 [762]~P50(x7623)+P5(x7621,x7622,x7623)+~P5(f9(x7624,x7621,x7623),f9(x7624,x7622,x7623),x7623)+~P6(f3(x7623),x7624,x7623)
% 2.89/2.87 [763]~P51(x7633)+P5(x7631,x7632,x7633)+~P5(f9(x7634,x7631,x7633),f9(x7634,x7632,x7633),x7633)+~P6(f3(x7633),x7634,x7633)
% 2.89/2.87 [764]~P51(x7643)+P5(x7641,x7642,x7643)+~P5(f9(x7641,x7644,x7643),f9(x7642,x7644,x7643),x7643)+~P6(f3(x7643),x7644,x7643)
% 2.89/2.87 [719]~P31(x7192)+E(x7191,f3(x7192))+~P5(x7193,f3(a1),a1)+~P5(f14(x7191,x7192),f9(x7193,f14(x7194,x7192),a1),a1)
% 2.89/2.87 [694]~P24(x6943)+~P6(x6942,x6945,x6943)+~P6(x6941,x6944,x6943)+P6(f10(x6941,x6942,x6943),f10(x6944,x6945,x6943),x6943)
% 2.89/2.87 [695]~P24(x6953)+~P6(x6952,x6955,x6953)+~P5(x6951,x6954,x6953)+P6(f10(x6951,x6952,x6953),f10(x6954,x6955,x6953),x6953)
% 2.89/2.87 [696]~P24(x6963)+~P6(x6961,x6964,x6963)+~P5(x6962,x6965,x6963)+P6(f10(x6961,x6962,x6963),f10(x6964,x6965,x6963),x6963)
% 2.89/2.87 [697]~P23(x6973)+~P5(x6972,x6975,x6973)+~P5(x6971,x6974,x6973)+P5(f10(x6971,x6972,x6973),f10(x6974,x6975,x6973),x6973)
% 2.89/2.87 [733]~P18(x7334)+~P5(x7335,x7333,x7334)+~P5(x7331,f10(x7332,x7335,x7334),x7334)+P5(x7331,f10(x7332,x7333,x7334),x7334)
% 2.89/2.87 [769]~P48(x7692)+~P6(f7(x7691,x7692),x7694,x7692)+~P6(f7(x7693,x7692),x7695,x7692)+P6(f9(f7(x7691,x7692),f7(x7693,x7692),x7692),f9(x7694,x7695,x7692),x7692)
% 2.89/2.87 [778]~P34(x7783)+~P6(f14(x7782,x7783),x7785,a1)+~P6(f14(x7781,x7783),x7784,a1)+P6(f14(f9(x7781,x7782,x7783),x7783),f9(x7784,x7785,a1),a1)
% 2.89/2.87 [571]~P25(x5712)+~P26(x5712)+P6(f4(x5712),x5711,x5712)+~P6(f6(x5711,x5712),f4(x5712),x5712)+P5(x5711,f3(x5712),x5712)
% 2.89/2.87 [572]~P25(x5722)+~P26(x5722)+P5(f4(x5722),x5721,x5722)+~P5(f6(x5721,x5722),f4(x5722),x5722)+P5(x5721,f3(x5722),x5722)
% 2.89/2.87 [575]~P25(x5751)+~P26(x5751)+~P6(f3(x5751),x5752,x5751)+~P6(x5752,f4(x5751),x5751)+P6(f4(x5751),f6(x5752,x5751),x5751)
% 2.89/2.87 [576]~P25(x5761)+~P26(x5761)+~P6(f3(x5761),x5762,x5761)+~P5(x5762,f4(x5761),x5761)+P5(f4(x5761),f6(x5762,x5761),x5761)
% 2.89/2.87 [303]~P39(x3033)+E(x3031,x3032)+~E(f6(x3031,x3033),f6(x3032,x3033))+E(x3032,f3(x3033))+E(x3031,f3(x3033))
% 2.89/2.87 [581]~P1(x5812)+~P5(f3(x5812),x5811,x5812)+~P5(f3(x5812),x5813,x5812)+~E(f10(x5813,x5811,x5812),f3(x5812))+E(x5811,f3(x5812))
% 2.89/2.87 [582]~P1(x5822)+~P5(f3(x5822),x5823,x5822)+~P5(f3(x5822),x5821,x5822)+~E(f10(x5821,x5823,x5822),f3(x5822))+E(x5821,f3(x5822))
% 2.89/2.87 [698]~P48(x6983)+~P5(x6981,f4(x6983),x6983)+~P5(f3(x6983),x6982,x6983)+~P5(f3(x6983),x6981,x6983)+P5(f9(x6981,x6982,x6983),x6982,x6983)
% 2.89/2.87 [699]~P48(x6993)+~P5(x6992,f4(x6993),x6993)+~P5(f3(x6993),x6992,x6993)+~P5(f3(x6993),x6991,x6993)+P5(f9(x6991,x6992,x6993),x6991,x6993)
% 2.89/2.87 [623]~P15(x6234)+~P8(x6234)+~P6(x6231,x6233,x6234)+~P5(f3(x6234),x6232,x6234)+P6(x6231,f10(x6232,x6233,x6234),x6234)
% 2.89/2.87 [624]~P15(x6244)+~P8(x6244)+~P5(x6241,x6243,x6244)+~P6(f3(x6244),x6242,x6244)+P6(x6241,f10(x6242,x6243,x6244),x6244)
% 2.89/2.87 [625]~P15(x6254)+~P8(x6254)+~P5(x6251,x6253,x6254)+~P5(f3(x6254),x6252,x6254)+P5(x6251,f10(x6252,x6253,x6254),x6254)
% 2.89/2.87 [626]~P15(x6264)+~P8(x6264)+~P5(x6261,x6262,x6264)+~P5(f3(x6264),x6263,x6264)+P5(x6261,f10(x6262,x6263,x6264),x6264)
% 2.89/2.87 [736]~P40(x7364)+~P4(x7364)+E(x7361,x7362)+E(x7363,f3(x7364))+~E(f10(x7365,f9(x7363,x7361,x7364),x7364),f10(x7365,f9(x7363,x7362,x7364),x7364))
% 2.89/2.87 [782]~P40(x7825)+~P4(x7825)+E(x7821,x7822)+E(x7823,x7824)+~E(f10(f9(x7823,x7821,x7825),f9(x7824,x7822,x7825),x7825),f10(f9(x7823,x7822,x7825),f9(x7824,x7821,x7825),x7825))
% 2.89/2.87 [398]~P56(x3982)+~P43(x3982)+~P44(x3982)+~P33(x3982)+~E(f15(x3981,x3983,x3982),f3(x3982))+E(x3981,f3(x3982))
% 2.89/2.87 [770]~P51(x7703)+~P6(x7702,x7705,x7703)+~P6(x7701,x7704,x7703)+~P6(f3(x7703),x7704,x7703)+~P5(f3(x7703),x7702,x7703)+P6(f9(x7701,x7702,x7703),f9(x7704,x7705,x7703),x7703)
% 2.89/2.87 [771]~P51(x7713)+~P6(x7712,x7715,x7713)+~P6(x7711,x7714,x7713)+~P5(f3(x7713),x7712,x7713)+~P5(f3(x7713),x7711,x7713)+P6(f9(x7711,x7712,x7713),f9(x7714,x7715,x7713),x7713)
% 2.89/2.87 [772]~P51(x7723)+~P6(x7722,x7725,x7723)+~P5(x7721,x7724,x7723)+~P6(f3(x7723),x7721,x7723)+~P5(f3(x7723),x7722,x7723)+P6(f9(x7721,x7722,x7723),f9(x7724,x7725,x7723),x7723)
% 2.89/2.87 [773]~P51(x7733)+~P6(x7731,x7734,x7733)+~P5(x7732,x7735,x7733)+~P6(f3(x7733),x7732,x7733)+~P5(f3(x7733),x7731,x7733)+P6(f9(x7731,x7732,x7733),f9(x7734,x7735,x7733),x7733)
% 2.89/2.87 [774]~P59(x7743)+~P5(x7742,x7745,x7743)+~P5(x7741,x7744,x7743)+~P5(f3(x7743),x7744,x7743)+~P5(f3(x7743),x7742,x7743)+P5(f9(x7741,x7742,x7743),f9(x7744,x7745,x7743),x7743)
% 2.89/2.87 [775]~P59(x7753)+~P5(x7752,x7755,x7753)+~P5(x7751,x7754,x7753)+~P5(f3(x7753),x7752,x7753)+~P5(f3(x7753),x7751,x7753)+P5(f9(x7751,x7752,x7753),f9(x7754,x7755,x7753),x7753)
% 2.89/2.87 %EqnAxiom
% 2.89/2.87 [1]E(x11,x11)
% 2.89/2.87 [2]E(x22,x21)+~E(x21,x22)
% 2.89/2.87 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.89/2.87 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 2.89/2.87 [5]~E(x51,x52)+E(f11(x51),f11(x52))
% 2.89/2.87 [6]~E(x61,x62)+E(f10(x61,x63,x64),f10(x62,x63,x64))
% 2.89/2.87 [7]~E(x71,x72)+E(f10(x73,x71,x74),f10(x73,x72,x74))
% 2.89/2.87 [8]~E(x81,x82)+E(f10(x83,x84,x81),f10(x83,x84,x82))
% 2.89/2.87 [9]~E(x91,x92)+E(f4(x91),f4(x92))
% 2.89/2.87 [10]~E(x101,x102)+E(f9(x101,x103,x104),f9(x102,x103,x104))
% 2.89/2.87 [11]~E(x111,x112)+E(f9(x113,x111,x114),f9(x113,x112,x114))
% 2.89/2.87 [12]~E(x121,x122)+E(f9(x123,x124,x121),f9(x123,x124,x122))
% 2.89/2.87 [13]~E(x131,x132)+E(f14(x131,x133),f14(x132,x133))
% 2.89/2.87 [14]~E(x141,x142)+E(f14(x143,x141),f14(x143,x142))
% 2.89/2.87 [15]~E(x151,x152)+E(f15(x151,x153,x154),f15(x152,x153,x154))
% 2.89/2.87 [16]~E(x161,x162)+E(f15(x163,x161,x164),f15(x163,x162,x164))
% 2.89/2.87 [17]~E(x171,x172)+E(f15(x173,x174,x171),f15(x173,x174,x172))
% 2.89/2.87 [18]~E(x181,x182)+E(f12(x181),f12(x182))
% 2.89/2.87 [19]~E(x191,x192)+E(f6(x191,x193),f6(x192,x193))
% 2.89/2.87 [20]~E(x201,x202)+E(f6(x203,x201),f6(x203,x202))
% 2.89/2.87 [21]~E(x211,x212)+E(f8(x211,x213),f8(x212,x213))
% 2.89/2.87 [22]~E(x221,x222)+E(f8(x223,x221),f8(x223,x222))
% 2.89/2.87 [23]~E(x231,x232)+E(f13(x231),f13(x232))
% 2.89/2.87 [24]~E(x241,x242)+E(f7(x241,x243),f7(x242,x243))
% 2.89/2.87 [25]~E(x251,x252)+E(f7(x253,x251),f7(x253,x252))
% 2.89/2.87 [26]~E(x261,x262)+E(f20(x261,x263),f20(x262,x263))
% 2.89/2.87 [27]~E(x271,x272)+E(f20(x273,x271),f20(x273,x272))
% 2.89/2.87 [28]~E(x281,x282)+E(f16(x281,x283),f16(x282,x283))
% 2.89/2.87 [29]~E(x291,x292)+E(f16(x293,x291),f16(x293,x292))
% 2.89/2.87 [30]~E(x301,x302)+E(f17(x301,x303),f17(x302,x303))
% 2.89/2.87 [31]~E(x311,x312)+E(f17(x313,x311),f17(x313,x312))
% 2.89/2.87 [32]~E(x321,x322)+E(f24(x321,x323),f24(x322,x323))
% 2.89/2.87 [33]~E(x331,x332)+E(f24(x333,x331),f24(x333,x332))
% 2.89/2.87 [34]~E(x341,x342)+E(f21(x341,x343),f21(x342,x343))
% 2.89/2.87 [35]~E(x351,x352)+E(f21(x353,x351),f21(x353,x352))
% 2.89/2.87 [36]~E(x361,x362)+E(f22(x361,x363),f22(x362,x363))
% 2.89/2.87 [37]~E(x371,x372)+E(f22(x373,x371),f22(x373,x372))
% 2.89/2.87 [38]~E(x381,x382)+E(f25(x381,x383),f25(x382,x383))
% 2.89/2.87 [39]~E(x391,x392)+E(f25(x393,x391),f25(x393,x392))
% 2.89/2.87 [40]~E(x401,x402)+E(f19(x401,x403),f19(x402,x403))
% 2.89/2.87 [41]~E(x411,x412)+E(f19(x413,x411),f19(x413,x412))
% 2.89/2.87 [42]~E(x421,x422)+E(f23(x421,x423),f23(x422,x423))
% 2.89/2.87 [43]~E(x431,x432)+E(f23(x433,x431),f23(x433,x432))
% 2.89/2.87 [44]~E(x441,x442)+E(f18(x441,x443),f18(x442,x443))
% 2.89/2.87 [45]~E(x451,x452)+E(f18(x453,x451),f18(x453,x452))
% 2.89/2.87 [46]~E(x461,x462)+E(f5(x461),f5(x462))
% 2.89/2.87 [47]~P1(x471)+P1(x472)+~E(x471,x472)
% 2.89/2.87 [48]P6(x482,x483,x484)+~E(x481,x482)+~P6(x481,x483,x484)
% 2.89/2.87 [49]P6(x493,x492,x494)+~E(x491,x492)+~P6(x493,x491,x494)
% 2.89/2.87 [50]P6(x503,x504,x502)+~E(x501,x502)+~P6(x503,x504,x501)
% 2.89/2.87 [51]~P2(x511)+P2(x512)+~E(x511,x512)
% 2.89/2.87 [52]P5(x522,x523,x524)+~E(x521,x522)+~P5(x521,x523,x524)
% 2.89/2.87 [53]P5(x533,x532,x534)+~E(x531,x532)+~P5(x533,x531,x534)
% 2.89/2.87 [54]P5(x543,x544,x542)+~E(x541,x542)+~P5(x543,x544,x541)
% 2.89/2.87 [55]~P3(x551)+P3(x552)+~E(x551,x552)
% 2.89/2.87 [56]~P26(x561)+P26(x562)+~E(x561,x562)
% 2.89/2.87 [57]~P25(x571)+P25(x572)+~E(x571,x572)
% 2.89/2.87 [58]~P15(x581)+P15(x582)+~E(x581,x582)
% 2.89/2.87 [59]~P18(x591)+P18(x592)+~E(x591,x592)
% 2.89/2.87 [60]~P48(x601)+P48(x602)+~E(x601,x602)
% 2.89/2.87 [61]~P49(x611)+P49(x612)+~E(x611,x612)
% 2.89/2.87 [62]~P17(x621)+P17(x622)+~E(x621,x622)
% 2.89/2.87 [63]~P12(x631)+P12(x632)+~E(x631,x632)
% 2.89/2.87 [64]~P34(x641)+P34(x642)+~E(x641,x642)
% 2.89/2.87 [65]~P8(x651)+P8(x652)+~E(x651,x652)
% 2.89/2.87 [66]~P16(x661)+P16(x662)+~E(x661,x662)
% 2.89/2.87 [67]~P50(x671)+P50(x672)+~E(x671,x672)
% 2.89/2.87 [68]~P28(x681)+P28(x682)+~E(x681,x682)
% 2.89/2.87 [69]~P27(x691)+P27(x692)+~E(x691,x692)
% 2.89/2.87 [70]~P31(x701)+P31(x702)+~E(x701,x702)
% 2.89/2.87 [71]~P51(x711)+P51(x712)+~E(x711,x712)
% 2.89/2.87 [72]~P9(x721)+P9(x722)+~E(x721,x722)
% 2.89/2.87 [73]~P4(x731)+P4(x732)+~E(x731,x732)
% 2.89/2.87 [74]~P24(x741)+P24(x742)+~E(x741,x742)
% 2.89/2.87 [75]~P37(x751)+P37(x752)+~E(x751,x752)
% 2.89/2.87 [76]~P13(x761)+P13(x762)+~E(x761,x762)
% 2.89/2.87 [77]~P29(x771)+P29(x772)+~E(x771,x772)
% 2.89/2.87 [78]~P43(x781)+P43(x782)+~E(x781,x782)
% 2.89/2.87 [79]~P40(x791)+P40(x792)+~E(x791,x792)
% 2.89/2.87 [80]~P39(x801)+P39(x802)+~E(x801,x802)
% 2.89/2.87 [81]~P59(x811)+P59(x812)+~E(x811,x812)
% 2.89/2.87 [82]~P55(x821)+P55(x822)+~E(x821,x822)
% 2.89/2.87 [83]~P23(x831)+P23(x832)+~E(x831,x832)
% 2.89/2.87 [84]~P30(x841)+P30(x842)+~E(x841,x842)
% 2.89/2.87 [85]~P32(x851)+P32(x852)+~E(x851,x852)
% 2.89/2.87 [86]~P41(x861)+P41(x862)+~E(x861,x862)
% 2.89/2.87 [87]~P45(x871)+P45(x872)+~E(x871,x872)
% 2.89/2.87 [88]~P21(x881)+P21(x882)+~E(x881,x882)
% 2.89/2.87 [89]~P53(x891)+P53(x892)+~E(x891,x892)
% 2.89/2.87 [90]~P57(x901)+P57(x902)+~E(x901,x902)
% 2.89/2.87 [91]~P56(x911)+P56(x912)+~E(x911,x912)
% 2.89/2.87 [92]~P44(x921)+P44(x922)+~E(x921,x922)
% 2.89/2.87 [93]~P19(x931)+P19(x932)+~E(x931,x932)
% 2.89/2.87 [94]~P61(x941)+P61(x942)+~E(x941,x942)
% 2.89/2.87 [95]~P58(x951)+P58(x952)+~E(x951,x952)
% 2.89/2.87 [96]~P54(x961)+P54(x962)+~E(x961,x962)
% 2.89/2.87 [97]~P11(x971)+P11(x972)+~E(x971,x972)
% 2.89/2.87 [98]~P14(x981)+P14(x982)+~E(x981,x982)
% 2.89/2.87 [99]~P46(x991)+P46(x992)+~E(x991,x992)
% 2.89/2.87 [100]~P42(x1001)+P42(x1002)+~E(x1001,x1002)
% 2.89/2.87 [101]~P62(x1011)+P62(x1012)+~E(x1011,x1012)
% 2.89/2.87 [102]~P20(x1021)+P20(x1022)+~E(x1021,x1022)
% 2.89/2.87 [103]~P38(x1031)+P38(x1032)+~E(x1031,x1032)
% 2.89/2.87 [104]~P22(x1041)+P22(x1042)+~E(x1041,x1042)
% 2.89/2.87 [105]~P7(x1051)+P7(x1052)+~E(x1051,x1052)
% 2.89/2.87 [106]~P60(x1061)+P60(x1062)+~E(x1061,x1062)
% 2.89/2.87 [107]~P35(x1071)+P35(x1072)+~E(x1071,x1072)
% 2.89/2.87 [108]~P36(x1081)+P36(x1082)+~E(x1081,x1082)
% 2.89/2.87 [109]~P52(x1091)+P52(x1092)+~E(x1091,x1092)
% 2.89/2.87 [110]~P10(x1101)+P10(x1102)+~E(x1101,x1102)
% 2.89/2.87 [111]~P33(x1111)+P33(x1112)+~E(x1111,x1112)
% 2.89/2.87 [112]~P47(x1121)+P47(x1122)+~E(x1121,x1122)
% 2.89/2.87
% 2.89/2.87 %-------------------------------------------
% 2.95/2.87 cnf(792,plain,
% 2.95/2.87 (~P6(f9(a27,f14(a28,a2),a1),f9(f4(a1),f14(a28,a2),a1),a1)),
% 2.95/2.87 inference(scs_inference,[],[256,232,2,403])).
% 2.95/2.87 cnf(796,plain,
% 2.95/2.87 (~P6(x7961,x7961,a26)),
% 2.95/2.87 inference(scs_inference,[],[256,154,232,2,403,368,353])).
% 2.95/2.87 cnf(799,plain,
% 2.95/2.87 (~P6(x7991,x7991,a1)),
% 2.95/2.87 inference(rename_variables,[],[254])).
% 2.95/2.87 cnf(801,plain,
% 2.95/2.87 (~P6(f11(f3(a1)),f3(a1),a1)),
% 2.95/2.87 inference(scs_inference,[],[256,254,799,154,232,2,403,368,353,434,433])).
% 2.95/2.87 cnf(802,plain,
% 2.95/2.87 (~P6(x8021,x8021,a1)),
% 2.95/2.87 inference(rename_variables,[],[254])).
% 2.95/2.87 cnf(809,plain,
% 2.95/2.87 (~P6(x8091,x8091,a1)),
% 2.95/2.87 inference(rename_variables,[],[254])).
% 2.95/2.87 cnf(812,plain,
% 2.95/2.87 (~P6(x8121,x8121,a1)),
% 2.95/2.87 inference(rename_variables,[],[254])).
% 2.95/2.87 cnf(815,plain,
% 2.95/2.87 (P5(x8151,x8151,a1)),
% 2.95/2.87 inference(rename_variables,[],[239])).
% 2.95/2.87 cnf(817,plain,
% 2.95/2.87 (P5(x8171,x8171,a1)),
% 2.95/2.87 inference(rename_variables,[],[239])).
% 2.95/2.87 cnf(819,plain,
% 2.95/2.87 (~P6(x8191,x8191,a1)),
% 2.95/2.87 inference(rename_variables,[],[254])).
% 2.95/2.87 cnf(821,plain,
% 2.95/2.87 (~P6(x8211,x8211,a1)),
% 2.95/2.87 inference(rename_variables,[],[254])).
% 2.95/2.87 cnf(823,plain,
% 2.95/2.87 (~P5(f4(a1),a27,a1)),
% 2.95/2.87 inference(scs_inference,[],[256,239,815,254,799,802,809,812,819,153,154,240,241,253,232,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460])).
% 2.95/2.87 cnf(825,plain,
% 2.95/2.87 (~P6(f4(a1),a27,a1)),
% 2.95/2.87 inference(scs_inference,[],[256,239,815,254,799,802,809,812,819,153,154,240,241,253,232,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458])).
% 2.95/2.87 cnf(827,plain,
% 2.95/2.87 (P5(x8271,x8271,a26)),
% 2.95/2.87 inference(scs_inference,[],[256,239,815,254,799,802,809,812,819,153,154,240,241,253,232,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388])).
% 2.95/2.87 cnf(830,plain,
% 2.95/2.87 (P5(x8301,x8301,a1)),
% 2.95/2.87 inference(rename_variables,[],[239])).
% 2.95/2.87 cnf(835,plain,
% 2.95/2.87 (~P6(x8351,x8351,a1)),
% 2.95/2.87 inference(rename_variables,[],[254])).
% 2.95/2.87 cnf(840,plain,
% 2.95/2.87 (~P6(x8401,x8401,a1)),
% 2.95/2.87 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(843,plain,
% 2.95/2.88 (~P6(x8431,x8431,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(845,plain,
% 2.95/2.88 (~P6(x8451,f8(f8(x8451,a1),a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,254,799,802,809,812,819,821,835,840,843,122,130,144,147,153,154,186,240,241,253,232,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527])).
% 2.95/2.88 cnf(846,plain,
% 2.95/2.88 (~P6(x8461,x8461,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(849,plain,
% 2.95/2.88 (~P6(x8491,x8491,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(852,plain,
% 2.95/2.88 (~P6(x8521,x8521,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(856,plain,
% 2.95/2.88 (~P5(f7(f4(a1),a1),f3(a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,254,799,802,809,812,819,821,835,840,843,846,849,122,130,144,147,153,154,186,240,241,253,232,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411])).
% 2.95/2.88 cnf(868,plain,
% 2.95/2.88 (~P6(f3(a1),f10(f3(a1),f3(a1),a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,254,799,802,809,812,819,821,835,840,843,846,849,852,115,122,130,141,142,144,147,153,154,184,186,240,241,253,232,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614])).
% 2.95/2.88 cnf(869,plain,
% 2.95/2.88 (~P6(x8691,x8691,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(874,plain,
% 2.95/2.88 (~P6(x8741,x8741,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(886,plain,
% 2.95/2.88 (P6(f3(a1),f4(a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,254,799,802,809,812,819,821,835,840,843,846,849,852,869,115,122,130,139,141,142,144,147,153,154,184,186,240,241,253,232,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551])).
% 2.95/2.88 cnf(889,plain,
% 2.95/2.88 (~P6(x8891,x8891,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(893,plain,
% 2.95/2.88 (~E(f10(x8931,f4(a1),a1),x8931)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,115,122,130,137,139,141,142,144,147,149,151,153,154,184,186,240,241,253,232,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369])).
% 2.95/2.88 cnf(896,plain,
% 2.95/2.88 (~P6(x8961,x8961,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(898,plain,
% 2.95/2.88 (~P5(f10(f4(a1),x8981,a1),x8981,a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,115,122,123,130,137,139,141,142,144,147,149,151,153,154,167,184,186,240,241,253,232,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696])).
% 2.95/2.88 cnf(903,plain,
% 2.95/2.88 (P5(x9031,x9031,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(906,plain,
% 2.95/2.88 (~P6(x9061,x9061,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(909,plain,
% 2.95/2.88 (~P6(x9091,x9091,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(912,plain,
% 2.95/2.88 (~P6(x9121,x9121,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(917,plain,
% 2.95/2.88 (~P6(x9171,x9171,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(922,plain,
% 2.95/2.88 (~P6(x9221,x9221,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(934,plain,
% 2.95/2.88 (~P6(f3(a1),f14(a28,a2),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,115,119,120,122,123,130,137,139,141,142,144,147,149,151,153,154,159,160,167,184,186,187,240,241,253,232,255,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709])).
% 2.95/2.88 cnf(937,plain,
% 2.95/2.88 (~P6(x9371,x9371,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(940,plain,
% 2.95/2.88 (~P6(x9401,x9401,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(951,plain,
% 2.95/2.88 (~P6(x9511,x9511,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(954,plain,
% 2.95/2.88 (~P6(x9541,x9541,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(957,plain,
% 2.95/2.88 (~P6(x9571,x9571,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(959,plain,
% 2.95/2.88 (~P6(f10(f3(a1),x9591,a1),x9591,a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,115,119,120,122,123,125,127,130,137,139,141,142,144,147,149,151,153,154,159,160,167,175,184,186,187,199,240,241,253,232,255,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623])).
% 2.95/2.88 cnf(960,plain,
% 2.95/2.88 (~P6(x9601,x9601,a1)),
% 2.95/2.88 inference(rename_variables,[],[254])).
% 2.95/2.88 cnf(961,plain,
% 2.95/2.88 (P5(x9611,x9611,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(964,plain,
% 2.95/2.88 (P5(x9641,x9641,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(966,plain,
% 2.95/2.88 (P6(f4(a1),f6(a27,a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,115,119,120,122,123,125,127,130,137,139,141,142,144,147,149,151,153,154,159,160,167,175,184,186,187,199,240,241,253,232,255,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575])).
% 2.95/2.88 cnf(971,plain,
% 2.95/2.88 (P5(x9711,x9711,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(976,plain,
% 2.95/2.88 (P5(x9761,x9761,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(979,plain,
% 2.95/2.88 (P5(x9791,x9791,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(989,plain,
% 2.95/2.88 (P5(f3(a1),f14(x9891,a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,115,119,120,122,123,125,127,130,137,139,141,142,144,145,147,149,151,153,154,157,159,160,167,172,175,178,181,184,186,187,199,217,240,241,253,232,255,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339])).
% 2.95/2.88 cnf(998,plain,
% 2.95/2.88 (P5(x9981,x9981,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(1000,plain,
% 2.95/2.88 (P5(f3(a1),f11(f3(a1)),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,115,119,120,122,123,125,127,130,137,139,141,142,144,145,147,149,151,153,154,157,159,160,167,172,175,178,181,184,186,187,199,217,240,241,253,232,255,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430])).
% 2.95/2.88 cnf(1001,plain,
% 2.95/2.88 (P5(x10011,x10011,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(1050,plain,
% 2.95/2.88 (~P6(f9(x10501,x10501,a1),f3(a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,115,119,120,122,123,125,127,130,137,139,141,142,144,145,147,149,151,153,154,157,159,160,167,172,175,178,181,184,186,187,199,217,240,241,253,232,255,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570])).
% 2.95/2.88 cnf(1052,plain,
% 2.95/2.88 (P6(x10521,f10(x10521,f4(a1),a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,115,119,120,122,123,125,127,130,137,139,141,142,144,145,147,149,151,153,154,157,159,160,167,172,175,178,181,184,186,187,199,217,240,241,253,232,255,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465])).
% 2.95/2.88 cnf(1054,plain,
% 2.95/2.88 (P5(f3(a1),f9(x10541,x10541,a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,115,119,120,122,123,125,127,130,137,139,141,142,144,145,147,149,151,153,154,157,159,160,167,172,175,178,181,184,186,187,199,217,240,241,253,232,255,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453])).
% 2.95/2.88 cnf(1074,plain,
% 2.95/2.88 (~P5(f4(a1),f3(a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,115,119,120,122,123,125,127,128,130,131,132,137,139,141,142,144,145,147,149,151,153,154,157,159,160,167,172,175,178,181,184,186,187,199,217,240,241,253,232,255,246,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375])).
% 2.95/2.88 cnf(1076,plain,
% 2.95/2.88 (~P6(f4(a1),f3(a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,115,119,120,122,123,125,127,128,130,131,132,137,139,141,142,144,145,147,149,151,153,154,157,159,160,167,172,175,178,181,184,186,187,199,217,240,241,253,232,255,246,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374])).
% 2.95/2.88 cnf(1082,plain,
% 2.95/2.88 (P5(f3(a1),f4(a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,115,119,120,122,123,125,127,128,130,131,132,137,139,141,142,144,145,147,149,151,153,154,157,159,160,167,172,175,178,181,184,186,187,199,217,240,241,253,232,255,246,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330])).
% 2.95/2.88 cnf(1084,plain,
% 2.95/2.88 (P6(f3(a26),f4(a26),a26)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,115,119,120,122,123,124,125,127,128,130,131,132,137,139,141,142,144,145,147,149,151,153,154,157,159,160,167,172,175,178,181,184,186,187,199,217,240,241,253,232,255,246,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329])).
% 2.95/2.88 cnf(1144,plain,
% 2.95/2.88 (E(f10(f8(x11441,a2),x11441,a2),f3(a2))),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,115,116,117,119,120,122,123,124,125,127,128,129,130,131,132,137,139,141,142,144,145,147,149,151,153,154,157,159,160,164,167,172,173,175,178,181,184,186,187,199,201,203,208,217,227,240,241,253,232,255,246,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347])).
% 2.95/2.88 cnf(1302,plain,
% 2.95/2.88 (E(f9(f4(a1),x13021,a1),x13021)),
% 2.95/2.88 inference(rename_variables,[],[242])).
% 2.95/2.88 cnf(1314,plain,
% 2.95/2.88 (P5(a27,f4(a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,115,116,117,119,120,122,123,124,125,127,128,129,130,131,132,133,134,137,139,141,142,144,145,147,149,151,153,154,157,159,160,164,167,172,173,175,178,179,181,184,186,187,197,198,199,201,203,205,207,208,210,213,217,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410])).
% 2.95/2.88 cnf(1338,plain,
% 2.95/2.88 (P5(f3(a1),f14(x13381,a2),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,115,116,117,119,120,122,123,124,125,127,128,129,130,131,132,133,134,137,138,139,141,142,144,145,147,149,151,153,154,157,159,160,164,167,172,173,175,178,179,181,184,186,187,190,192,197,198,199,201,203,205,207,208,210,213,217,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488])).
% 2.95/2.88 cnf(1340,plain,
% 2.95/2.88 (P5(f8(f3(a1),a1),f3(a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,115,116,117,119,120,122,123,124,125,127,128,129,130,131,132,133,134,137,138,139,141,142,144,145,147,149,151,153,154,157,159,160,164,167,172,173,175,178,179,181,184,186,187,190,192,197,198,199,201,203,205,207,208,210,213,217,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474])).
% 2.95/2.88 cnf(1356,plain,
% 2.95/2.88 (~E(f14(f4(a1),a1),f3(a1))),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,115,116,117,119,120,122,123,124,125,127,128,129,130,131,132,133,134,137,138,139,141,142,144,145,147,149,151,153,154,156,157,159,160,164,167,172,173,175,178,179,181,184,186,187,190,192,197,198,199,201,203,205,207,208,210,213,217,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278])).
% 2.95/2.88 cnf(1358,plain,
% 2.95/2.88 (P6(f3(a1),f14(f4(a1),a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,115,116,117,119,120,122,123,124,125,127,128,129,130,131,132,133,134,137,138,139,141,142,144,145,147,149,151,153,154,156,157,159,160,164,167,172,173,175,178,179,181,184,186,187,190,192,197,198,199,201,203,205,207,208,210,213,217,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278,357])).
% 2.95/2.88 cnf(1366,plain,
% 2.95/2.88 (P6(f10(x13661,f3(a26),a26),f10(x13661,f4(a26),a26),a26)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,115,116,117,119,120,122,123,124,125,126,127,128,129,130,131,132,133,134,137,138,139,141,142,144,145,147,149,151,153,154,156,157,159,160,164,167,172,173,175,178,179,181,184,186,187,190,192,197,198,199,201,203,205,207,208,210,213,217,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278,357,724,723,630,629])).
% 2.95/2.88 cnf(1372,plain,
% 2.95/2.88 (~P5(f8(f9(f4(a1),f14(a28,a2),a1),a1),f8(f9(a27,f14(a28,a2),a1),a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,115,116,117,119,120,122,123,124,125,126,127,128,129,130,131,132,133,134,137,138,139,141,142,144,145,147,149,151,153,154,156,157,159,160,164,167,172,173,175,178,179,181,184,186,187,190,192,197,198,199,201,203,205,207,208,210,213,217,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278,357,724,723,630,629,628,627,542])).
% 2.95/2.88 cnf(1380,plain,
% 2.95/2.88 (P6(f8(f4(a1),a1),f8(a27,a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,115,116,117,119,120,122,123,124,125,126,127,128,129,130,131,132,133,134,137,138,139,141,142,144,145,147,149,151,153,154,156,157,159,160,164,167,172,173,175,178,179,181,184,186,187,190,192,197,198,199,201,203,205,207,208,210,213,217,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278,357,724,723,630,629,628,627,542,535,533,529,501])).
% 2.95/2.88 cnf(1394,plain,
% 2.95/2.88 (P6(f8(a27,a1),f3(a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,115,116,117,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,137,138,139,141,142,144,145,147,149,151,153,154,156,157,159,160,164,167,172,173,175,178,179,181,184,186,187,188,190,192,197,198,199,201,203,205,207,208,210,213,217,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278,357,724,723,630,629,628,627,542,535,533,529,501,277,566,565,564,562,483,482])).
% 2.95/2.88 cnf(1410,plain,
% 2.95/2.88 (P6(f10(f8(a27,a1),f8(a27,a1),a1),f3(a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,115,116,117,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,137,138,139,141,142,143,144,145,147,149,151,153,154,156,157,159,160,164,167,172,173,175,178,179,181,184,186,187,188,190,192,197,198,199,201,203,205,207,208,210,213,217,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278,357,724,723,630,629,628,627,542,535,533,529,501,277,566,565,564,562,483,482,481,480,479,478,291,283,569,568])).
% 2.95/2.88 cnf(1432,plain,
% 2.95/2.88 (~E(f10(f10(f8(x14321,a1),f4(a1),a1),f10(x14322,x14321,a1),a1),x14322)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,115,116,117,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,137,138,139,141,142,143,144,145,147,149,151,153,154,156,157,159,160,164,167,172,173,175,178,179,181,184,186,187,188,190,192,197,198,199,201,203,205,207,208,210,213,217,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278,357,724,723,630,629,628,627,542,535,533,529,501,277,566,565,564,562,483,482,481,480,479,478,291,283,569,568,567,563,561,536,401,400,399,356,355,622,574])).
% 2.95/2.88 cnf(1476,plain,
% 2.95/2.88 (P6(f3(a1),f9(f11(a27),f11(a27),a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,115,116,117,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,137,138,139,141,142,143,144,145,147,149,151,153,154,155,156,157,159,160,164,167,172,173,175,178,179,181,184,186,187,188,190,192,197,198,199,201,203,205,207,208,210,213,217,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278,357,724,723,630,629,628,627,542,535,533,529,501,277,566,565,564,562,483,482,481,480,479,478,291,283,569,568,567,563,561,536,401,400,399,356,355,622,574,378,725,720,556,360,359,358,765,789,788,768,767,693,692,588,525,349,670,503,468,419,397])).
% 2.95/2.88 cnf(1510,plain,
% 2.95/2.88 (P6(f9(a27,f3(a1),a1),f9(a27,a27,a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,115,116,117,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,137,138,139,141,142,143,144,145,147,149,151,153,154,155,156,157,159,160,162,164,167,172,173,175,178,179,181,184,186,187,188,190,192,195,197,198,199,201,203,205,207,208,210,213,217,220,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278,357,724,723,630,629,628,627,542,535,533,529,501,277,566,565,564,562,483,482,481,480,479,478,291,283,569,568,567,563,561,536,401,400,399,356,355,622,574,378,725,720,556,360,359,358,765,789,788,768,767,693,692,588,525,349,670,503,468,419,397,296,719,343,573,733,584,499,498,497,496,495,493,404,761,759,718,717,715,713])).
% 2.95/2.88 cnf(1543,plain,
% 2.95/2.88 (P5(x15431,x15431,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(1545,plain,
% 2.95/2.88 (P6(f10(f3(a1),f8(a27,a1),a1),f3(a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,1543,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,113,115,116,117,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,137,138,139,141,142,143,144,145,147,149,151,153,154,155,156,157,159,160,162,164,167,172,173,175,178,179,181,184,186,187,188,190,192,195,197,198,199,201,203,205,207,208,210,213,215,217,219,220,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278,357,724,723,630,629,628,627,542,535,533,529,501,277,566,565,564,562,483,482,481,480,479,478,291,283,569,568,567,563,561,536,401,400,399,356,355,622,574,378,725,720,556,360,359,358,765,789,788,768,767,693,692,588,525,349,670,503,468,419,397,296,719,343,573,733,584,499,498,497,496,495,493,404,761,759,718,717,715,713,712,711,708,707,705,704,701,491,661,658,656,655,654,652,651,650,649])).
% 2.95/2.88 cnf(1546,plain,
% 2.95/2.88 (P5(x15461,x15461,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(1550,plain,
% 2.95/2.88 (P5(f3(a26),f9(f4(a26),f4(a26),a26),a26)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,1543,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,113,115,116,117,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,137,138,139,141,142,143,144,145,147,149,151,153,154,155,156,157,159,160,162,164,167,172,173,175,178,179,181,184,186,187,188,190,192,195,197,198,199,201,203,205,207,208,210,213,215,216,217,219,220,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278,357,724,723,630,629,628,627,542,535,533,529,501,277,566,565,564,562,483,482,481,480,479,478,291,283,569,568,567,563,561,536,401,400,399,356,355,622,574,378,725,720,556,360,359,358,765,789,788,768,767,693,692,588,525,349,670,503,468,419,397,296,719,343,573,733,584,499,498,497,496,495,493,404,761,759,718,717,715,713,712,711,708,707,705,704,701,491,661,658,656,655,654,652,651,650,649,648,646])).
% 2.95/2.88 cnf(1559,plain,
% 2.95/2.88 (P5(x15591,x15591,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(1562,plain,
% 2.95/2.88 (P5(x15621,x15621,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(1587,plain,
% 2.95/2.88 (P5(x15871,x15871,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(1590,plain,
% 2.95/2.88 (P5(x15901,x15901,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(1621,plain,
% 2.95/2.88 (~E(f9(f4(a1),f4(a1),a1),f9(f4(a1),f3(a1),a1))),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,1543,1546,1559,1562,1587,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,113,115,116,117,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,137,138,139,141,142,143,144,145,147,149,151,153,154,155,156,157,159,160,162,164,167,172,173,175,178,179,181,184,186,187,188,190,192,195,197,198,199,201,203,205,207,208,210,213,215,216,217,219,220,222,224,225,227,230,240,241,253,232,255,246,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278,357,724,723,630,629,628,627,542,535,533,529,501,277,566,565,564,562,483,482,481,480,479,478,291,283,569,568,567,563,561,536,401,400,399,356,355,622,574,378,725,720,556,360,359,358,765,789,788,768,767,693,692,588,525,349,670,503,468,419,397,296,719,343,573,733,584,499,498,497,496,495,493,404,761,759,718,717,715,713,712,711,708,707,705,704,701,491,661,658,656,655,654,652,651,650,649,648,646,644,643,642,641,640,639,635,515,778,779,557,626,625,736,572,571,582,581,302,436,435,258,440,63,293,751,750,749,681,680,679,678,452,451])).
% 2.95/2.88 cnf(1641,plain,
% 2.95/2.88 (~P5(f3(a1),f8(f7(f4(a1),a1),a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,1543,1546,1559,1562,1587,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,113,115,116,117,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,137,138,139,141,142,143,144,145,147,149,151,153,154,155,156,157,159,160,162,164,167,169,172,173,175,178,179,181,184,186,187,188,190,192,195,197,198,199,201,203,205,207,208,210,213,215,216,217,219,220,222,224,225,227,230,240,241,253,232,255,246,244,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278,357,724,723,630,629,628,627,542,535,533,529,501,277,566,565,564,562,483,482,481,480,479,478,291,283,569,568,567,563,561,536,401,400,399,356,355,622,574,378,725,720,556,360,359,358,765,789,788,768,767,693,692,588,525,349,670,503,468,419,397,296,719,343,573,733,584,499,498,497,496,495,493,404,761,759,718,717,715,713,712,711,708,707,705,704,701,491,661,658,656,655,654,652,651,650,649,648,646,644,643,642,641,640,639,635,515,778,779,557,626,625,736,572,571,582,581,302,436,435,258,440,63,293,751,750,749,681,680,679,678,452,451,370,722,721,634,633,632,631,541,502,505])).
% 2.95/2.88 cnf(1655,plain,
% 2.95/2.88 (E(f14(x16551,a2),f8(f8(f14(x16551,a2),a1),a1))+P6(f14(x16551,a2),f8(f8(f14(x16551,a2),a1),a1),a1)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,1543,1546,1559,1562,1587,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,113,115,116,117,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,137,138,139,141,142,143,144,145,147,149,151,153,154,155,156,157,159,160,162,164,167,169,172,173,175,178,179,181,184,186,187,188,190,192,195,197,198,199,201,203,205,207,208,210,213,215,216,217,219,220,222,224,225,227,230,240,241,253,232,255,246,244,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278,357,724,723,630,629,628,627,542,535,533,529,501,277,566,565,564,562,483,482,481,480,479,478,291,283,569,568,567,563,561,536,401,400,399,356,355,622,574,378,725,720,556,360,359,358,765,789,788,768,767,693,692,588,525,349,670,503,468,419,397,296,719,343,573,733,584,499,498,497,496,495,493,404,761,759,718,717,715,713,712,711,708,707,705,704,701,491,661,658,656,655,654,652,651,650,649,648,646,644,643,642,641,640,639,635,515,778,779,557,626,625,736,572,571,582,581,302,436,435,258,440,63,293,751,750,749,681,680,679,678,452,451,370,722,721,634,633,632,631,541,502,505,555,554,553,552,550,549,393])).
% 2.95/2.88 cnf(1677,plain,
% 2.95/2.88 (~P5(f9(f8(a27,a1),f9(f4(a1),f14(a28,a2),a1),a1),f9(f8(a27,a1),f9(a27,f14(a28,a2),a1),a1),a1)+~P5(f9(f9(f4(a26),x16771,a26),f4(a26),a26),f9(f9(f4(a26),x16772,a26),f4(a26),a26),a26)),
% 2.95/2.88 inference(scs_inference,[],[256,239,815,817,830,903,961,964,971,976,979,998,1001,1543,1546,1559,1562,1587,1590,254,799,802,809,812,819,821,835,840,843,846,849,852,869,874,889,896,906,909,912,917,922,937,940,951,954,957,960,113,115,116,117,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,137,138,139,141,142,143,144,145,147,149,151,153,154,155,156,157,159,160,161,162,164,167,169,172,173,175,178,179,181,184,186,187,188,190,192,195,197,198,199,201,203,205,207,208,210,213,215,216,217,219,220,222,224,225,227,230,240,241,253,232,255,246,244,242,1302,249,2,403,368,353,434,433,362,257,438,437,53,52,49,48,3,460,458,388,477,279,484,275,532,530,527,611,506,504,411,366,361,282,281,280,614,613,612,610,365,587,380,379,551,548,421,369,621,696,694,586,523,522,521,520,519,518,517,290,744,743,742,741,709,676,675,662,616,373,372,748,747,624,623,576,575,398,774,402,425,424,423,342,341,340,339,338,337,336,432,430,428,427,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,570,465,453,443,442,413,412,407,385,383,381,376,375,374,363,354,330,329,316,315,312,311,309,308,307,306,305,304,287,266,265,264,263,262,259,560,441,559,445,540,538,490,489,444,408,367,348,347,345,334,328,327,324,322,321,320,317,299,298,297,273,272,271,270,269,268,787,766,732,731,730,729,728,727,726,609,608,607,606,605,604,603,602,597,596,595,544,543,514,512,510,509,508,500,449,448,447,446,377,786,785,784,735,734,691,690,686,685,684,682,620,619,583,558,547,546,545,740,739,783,677,618,790,780,593,112,54,50,537,457,456,455,450,410,409,405,390,617,476,464,463,462,295,294,292,488,474,473,472,471,406,392,391,333,278,357,724,723,630,629,628,627,542,535,533,529,501,277,566,565,564,562,483,482,481,480,479,478,291,283,569,568,567,563,561,536,401,400,399,356,355,622,574,378,725,720,556,360,359,358,765,789,788,768,767,693,692,588,525,349,670,503,468,419,397,296,719,343,573,733,584,499,498,497,496,495,493,404,761,759,718,717,715,713,712,711,708,707,705,704,701,491,661,658,656,655,654,652,651,650,649,648,646,644,643,642,641,640,639,635,515,778,779,557,626,625,736,572,571,582,581,302,436,435,258,440,63,293,751,750,749,681,680,679,678,452,451,370,722,721,634,633,632,631,541,502,505,555,554,553,552,550,549,393,738,737,697,695,524,592,590,579,764,763,755])).
% 2.95/2.88 cnf(1692,plain,
% 2.95/2.88 (~P5(f10(f4(a1),x16921,a1),x16921,a1)),
% 2.95/2.88 inference(rename_variables,[],[898])).
% 2.95/2.88 cnf(1699,plain,
% 2.95/2.88 (~P6(f10(f3(a1),x16991,a1),x16991,a1)),
% 2.95/2.88 inference(rename_variables,[],[959])).
% 2.95/2.88 cnf(1715,plain,
% 2.95/2.88 (P6(x17151,f10(x17151,f4(a1),a1),a1)),
% 2.95/2.88 inference(rename_variables,[],[1052])).
% 2.95/2.88 cnf(1718,plain,
% 2.95/2.88 (P5(x17181,x17181,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(1721,plain,
% 2.95/2.88 (P5(x17211,x17211,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(1724,plain,
% 2.95/2.88 (P5(x17241,x17241,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(1731,plain,
% 2.95/2.88 (P5(x17311,x17311,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(1754,plain,
% 2.95/2.88 (P6(x17541,f10(x17541,f4(a1),a1),a1)),
% 2.95/2.88 inference(rename_variables,[],[1052])).
% 2.95/2.88 cnf(1763,plain,
% 2.95/2.88 (P5(x17631,x17631,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(1770,plain,
% 2.95/2.88 (~P5(f10(f4(a1),x17701,a1),x17701,a1)),
% 2.95/2.88 inference(rename_variables,[],[898])).
% 2.95/2.88 cnf(1788,plain,
% 2.95/2.88 (P5(x17881,x17881,a1)),
% 2.95/2.88 inference(rename_variables,[],[239])).
% 2.95/2.88 cnf(1852,plain,
% 2.95/2.88 ($false),
% 2.95/2.88 inference(scs_inference,[],[256,118,146,148,191,193,221,223,248,150,152,245,239,1718,1721,1724,1731,1763,1788,121,216,217,138,219,124,126,129,127,143,167,186,153,137,139,142,255,113,125,141,123,144,122,240,119,159,241,253,1621,792,934,823,825,801,1000,856,886,1076,1082,1340,1510,966,1410,1314,1432,893,1476,1358,1550,1074,1356,796,827,1144,898,1692,1770,959,1699,1052,1715,1754,845,1366,1380,1641,1050,1054,1372,989,1338,1394,1545,868,1084,1677,1655,422,486,485,507,475,589,577,754,716,706,664,663,769,699,698,775,756,714,591,580,762,757,464,462,295,294,406,535,532,527,506,355,587,574,380,555,553,552,550,549,393,296,719,621,755,718,715,707,662,646,644,626,625,624,623,582,460,458,456,455,617,357,562,548,397,695,579,650,649,640,639,635,410]),
% 2.95/2.88 ['proof']).
% 2.95/2.88 % SZS output end Proof
% 2.95/2.88 % Total time :2.010000s
%------------------------------------------------------------------------------