TSTP Solution File: ALG341-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG341-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 15:59:35 EDT 2023
% Result : Unsatisfiable 2.71s 2.72s
% Output : CNFRefutation 2.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG341-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 04:24:51 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 2.58/2.67 %-------------------------------------------
% 2.58/2.67 % File :CSE---1.6
% 2.58/2.67 % Problem :theBenchmark
% 2.58/2.67 % Transform :cnf
% 2.58/2.68 % Format :tptp:raw
% 2.58/2.68 % Command :java -jar mcs_scs.jar %d %s
% 2.58/2.68
% 2.58/2.68 % Result :Theorem 1.920000s
% 2.58/2.68 % Output :CNFRefutation 1.920000s
% 2.58/2.68 %-------------------------------------------
% 2.58/2.68 %------------------------------------------------------------------------------
% 2.58/2.68 % File : ALG341-1 : TPTP v8.1.2. Released v4.1.0.
% 2.58/2.68 % Domain : General Algebra
% 2.58/2.68 % Problem : Fundamental theorem of algebra 0084_54
% 2.58/2.68 % Version : Especial.
% 2.58/2.68 % English :
% 2.58/2.68
% 2.58/2.68 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 2.58/2.68 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 2.58/2.68 % Source : [Nip10]
% 2.58/2.68 % Names : Fundamental_Theorem_Algebra-0084_54 [Nip10]
% 2.58/2.68
% 2.58/2.68 % Status : Unsatisfiable
% 2.58/2.68 % Rating : 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.35 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.35 v5.0.0, 0.21 v4.1.0
% 2.58/2.68 % Syntax : Number of clauses : 595 ( 136 unt; 62 nHn; 337 RR)
% 2.58/2.68 % Number of literals : 1441 ( 414 equ; 777 neg)
% 2.58/2.68 % Maximal clause size : 6 ( 2 avg)
% 2.58/2.68 % Maximal term depth : 6 ( 1 avg)
% 2.58/2.68 % Number of predicates : 62 ( 61 usr; 0 prp; 1-3 aty)
% 2.58/2.68 % Number of functors : 37 ( 37 usr; 10 con; 0-3 aty)
% 2.58/2.68 % Number of variables : 1361 ( 62 sgn)
% 2.58/2.68 % SPC : CNF_UNS_RFO_SEQ_NHN
% 2.58/2.68
% 2.58/2.68 % Comments :
% 2.58/2.68 %------------------------------------------------------------------------------
% 2.58/2.68 cnf(cls_power__abs_0,axiom,
% 2.58/2.68 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.58/2.68 | 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) ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_abs__inverse_0,axiom,
% 2.58/2.68 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.58/2.68 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.68 | 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) ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_abs__divide_0,axiom,
% 2.58/2.68 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.58/2.68 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.68 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_scaleR__right_Oadd_0,axiom,
% 2.58/2.68 ( ~ class_RealVector_Oreal__vector(T_a)
% 2.58/2.68 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_scaleR_Oadd__right_0,axiom,
% 2.58/2.68 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.58/2.68 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_add__cancel__end_0,axiom,
% 2.58/2.68 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.58/2.68 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 2.58/2.68 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_mult__divide__mult__cancel__right_0,axiom,
% 2.58/2.68 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.68 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.68 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)
% 2.58/2.68 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_mult__divide__mult__cancel__left_0,axiom,
% 2.58/2.68 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.68 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.68 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)
% 2.58/2.68 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_exp__add_0,axiom,
% 2.58/2.68 ( ~ class_SEQ_Obanach(T_a)
% 2.58/2.68 | ~ class_RealVector_Oreal__normed__field(T_a)
% 2.58/2.68 | c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_mult__frac__num_0,axiom,
% 2.58/2.68 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.68 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.68 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),V_y,T_a) ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_norm__minus__commute_0,axiom,
% 2.58/2.68 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.58/2.68 | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_diff__minus__eq__add_0,axiom,
% 2.58/2.68 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.68 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_add__diff__cancel_0,axiom,
% 2.58/2.68 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.68 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_add__divide__distrib_0,axiom,
% 2.58/2.68 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.68 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_divide_Oadd_0,axiom,
% 2.58/2.68 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 2.58/2.68 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_minus__equation__iff_1,axiom,
% 2.58/2.68 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.68 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 2.58/2.68
% 2.58/2.68 cnf(cls_equation__minus__iff_1,axiom,
% 2.58/2.68 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.68 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.58/2.68
% 2.58/2.69 cnf(cls_equation__minus__iff_0,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.69 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_double__compl_0,axiom,
% 2.58/2.69 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.58/2.69 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_minus__minus_0,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.69 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_minus__diff__eq_0,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.58/2.69 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_eq__divide__eq_2,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.69 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.69 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_scaleR__cancel__right_0,axiom,
% 2.58/2.69 ( ~ class_RealVector_Oreal__vector(T_a)
% 2.58/2.69 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a)
% 2.58/2.69 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_a = V_b ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_scaleR__cancel__right_1,axiom,
% 2.58/2.69 ( ~ class_RealVector_Oreal__vector(T_a)
% 2.58/2.69 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_abs__eq__0_0,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.58/2.69 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_neg__equal__zero_1,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.58/2.69 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_minus__zero_0,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.69 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_inverse__zero__imp__zero_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.58/2.69 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.58/2.69 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.69 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.69 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_mult__eq__0__iff_2,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.58/2.69 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_mult__eq__0__iff_1,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.58/2.69 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_mult__zero__right_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.58/2.69 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_mult__zero__left_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.58/2.69 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_class__semiring_Omul__0_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.69 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_mult__right_Ozero_0,axiom,
% 2.58/2.69 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.58/2.69 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_mult_Ozero__right_0,axiom,
% 2.58/2.69 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.58/2.69 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_mult_Ozero__left_0,axiom,
% 2.58/2.69 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.58/2.69 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_mult__left_Ozero_0,axiom,
% 2.58/2.69 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.58/2.69 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.69 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.69 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_nonzero__inverse__inverse__eq_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.58/2.69 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a
% 2.58/2.69 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_divide__self__if_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.69 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.69 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_neg__equal__zero_0,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.58/2.69 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 2.58/2.69 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_inverse__zero_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.69 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.58/2.69 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.69 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.58/2.69 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 2.58/2.69 | V_a = V_b
% 2.58/2.69 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_nprt__0_0,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.58/2.69 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_field__power__not__zero_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 2.58/2.69 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_power__eq__0__iff_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.58/2.69 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.58/2.69 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.58/2.69 | ~ class_Power_Opower(T_a)
% 2.58/2.69 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.69 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_mult__eq__0__iff_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.58/2.69 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_no__zero__divisors_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.58/2.69 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.58/2.69 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_double__eq__0__iff_0,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.58/2.69 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.58/2.69 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_right__minus__eq_1,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.69 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_diff__0__right_0,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.69 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_diff__self_0,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.69 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.58/2.69 | ~ class_Int_Onumber__ring(T_a)
% 2.58/2.69 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.58/2.69 | ~ class_Int_Onumber__ring(T_a)
% 2.58/2.69 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 2.58/2.69 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_double__eq__0__iff_1,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.58/2.69 | 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) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_abs__eq__0_1,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.58/2.69 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.69 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 2.58/2.69 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_scaleR_Ozero__right_0,axiom,
% 2.58/2.69 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.58/2.69 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_scaleR__eq__0__iff_2,axiom,
% 2.58/2.69 ( ~ class_RealVector_Oreal__vector(T_a)
% 2.58/2.69 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.58/2.69 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_a = V_b ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_right__minus__eq_0,axiom,
% 2.58/2.69 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.69 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_a = V_b ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.58/2.69 | ~ class_Int_Onumber__ring(T_a)
% 2.58/2.69 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.69 | V_x = V_y ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_divide__zero__left_0,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.69 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_divide__eq__eq_1,axiom,
% 2.58/2.69 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.69 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.69 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.69
% 2.58/2.69 cnf(cls_nonzero__of__real__divide_0,axiom,
% 2.58/2.69 ( ~ class_RealVector_Oreal__field(T_a)
% 2.58/2.70 | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(V_x,T_a),c_RealVector_Oof__real(V_y,T_a),T_a)
% 2.58/2.70 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_Deriv_Oadd__diff__add_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.58/2.70 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_mult__left_Odiff_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.58/2.70 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_mult_Odiff__left_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.58/2.70 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_mult_Odiff__right_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.58/2.70 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_mult__right_Odiff_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.58/2.70 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_left__minus_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_right__minus_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_ab__left__minus_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_combine__common__factor_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_mult_Oprod__diff__prod_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.58/2.70 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_divide_Ominus_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 2.58/2.70 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_minus__divide__divide_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.70 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.70 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_eq__eqI_1,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.58/2.70 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 2.58/2.70 | V_xa = V_y ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_eq__eqI_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.58/2.70 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.58/2.70 | V_x_H = V_y_H ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_abs__triangle__ineq_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_scaleR__conv__of__real_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.58/2.70 | c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(V_r,T_a),V_x,T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_add__cancel__21_1,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.70 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_class__semiring_Omul__c_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.70 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_inverse__inverse__eq_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.58/2.70 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.70 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_diff__add__cancel_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.70 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_abs__triangle__ineq3_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.58/2.70 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.58/2.70 | ~ class_Int_Onumber__ring(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.58/2.70 | ~ class_Int_Onumber__ring(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_nonzero__minus__divide__right_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.70 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 2.58/2.70 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_norm__divide_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.70 | ~ class_RealVector_Oreal__normed__field(T_a)
% 2.58/2.70 | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_exp__diff_0,axiom,
% 2.58/2.70 ( ~ class_SEQ_Obanach(T_a)
% 2.58/2.70 | ~ class_RealVector_Oreal__normed__field(T_a)
% 2.58/2.70 | c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_abs__le__mult_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_eq__add__iff2_1,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.58/2.70 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_of__real__eq__iff_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.58/2.70 | c_RealVector_Oof__real(V_x,T_a) != c_RealVector_Oof__real(V_y,T_a)
% 2.58/2.70 | V_x = V_y ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_scaleR_Ominus__right_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.58/2.70 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_scaleR__minus__right_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__vector(T_a)
% 2.58/2.70 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_le__add__iff1_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.58/2.70 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 2.58/2.70 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_le__add__iff1_1,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.58/2.70 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 2.58/2.70 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_le__add__iff2_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.58/2.70 | c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 2.58/2.70 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_le__add__iff2_1,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.58/2.70 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 2.58/2.70 | ~ c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_of__nat__eq__iff_0,axiom,
% 2.58/2.70 ( ~ class_Nat_Osemiring__char__0(T_a)
% 2.58/2.70 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 2.58/2.70 | V_m = V_n ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_square__eq__iff_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.58/2.70 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)
% 2.58/2.70 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 2.58/2.70 | V_a = V_b ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_real__of__nat__inject_0,axiom,
% 2.58/2.70 ( c_RealDef_Oreal(V_n,tc_nat) != c_RealDef_Oreal(V_m,tc_nat)
% 2.58/2.70 | V_n = V_m ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_divide_Odiff_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 2.58/2.70 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_diff__divide__distrib_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.70 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_exp__of__real_0,axiom,
% 2.58/2.70 ( ~ class_SEQ_Obanach(T_a)
% 2.58/2.70 | ~ class_RealVector_Oreal__normed__field(T_a)
% 2.58/2.70 | c_Transcendental_Oexp(c_RealVector_Oof__real(V_x,T_a),T_a) = c_RealVector_Oof__real(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_divide__eq__eq_3,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.70 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.70 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a
% 2.58/2.70 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_eq__divide__eq_3,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.70 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.70 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)
% 2.58/2.70 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_estimate__by__abs_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 2.58/2.70 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)
% 2.58/2.70 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_divide__eq__imp_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.70 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.70 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_eq__divide__imp_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.70 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.70 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_neg__equal__iff__equal_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.70 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 2.58/2.70 | V_a = V_b ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_compl__eq__compl__iff_0,axiom,
% 2.58/2.70 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.58/2.70 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 2.58/2.70 | V_x = V_y ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_power__divide_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.70 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.70 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_scaleR_Odiff__left_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.58/2.70 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(V_a,V_a_H,tc_RealDef_Oreal),V_b,T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a_H,V_b,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_scaleR__left_Odiff_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__vector(T_a)
% 2.58/2.70 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),V_xa,T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_x,V_xa,T_a),c_RealVector_OscaleR__class_OscaleR(V_y,V_xa,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_scaleR_Odiff__right_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.58/2.70 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_scaleR__right_Odiff_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__vector(T_a)
% 2.58/2.70 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_scaleR__left__diff__distrib_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__vector(T_a)
% 2.58/2.70 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(V_a,V_b,tc_RealDef_Oreal),V_x,T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_abs__mult_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_mult__frac__frac_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.70 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.70 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_minus__mult__left_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_minus__mult__right_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_mult__left__idem_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_abs__le__D2_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.58/2.70 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.58/2.70 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_add__minus__cancel_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.58/2.70 | 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 ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_real__sqrt__eq__iff_0,axiom,
% 2.58/2.70 ( c_NthRoot_Osqrt(V_x) != c_NthRoot_Osqrt(V_y)
% 2.58/2.70 | V_x = V_y ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_exp__inj__iff_0,axiom,
% 2.58/2.70 ( c_Transcendental_Oexp(V_x,tc_RealDef_Oreal) != c_Transcendental_Oexp(V_y,tc_RealDef_Oreal)
% 2.58/2.70 | V_x = V_y ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_DERIV__inverse__lemma_0,axiom,
% 2.58/2.70 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 2.58/2.70 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),V_h,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_h,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),T_a)
% 2.58/2.70 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.70 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_inverse__divide_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.70 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.70 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_b,V_a,T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.58/2.70 | ~ class_Int_Onumber__ring(T_a)
% 2.58/2.70 | 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)
% 2.58/2.70 | V_c = V_d
% 2.58/2.70 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.58/2.70 | 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)
% 2.58/2.70 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.58/2.70 | 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)
% 2.58/2.70 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_mult__idem_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 2.58/2.70 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_inverse__eq__iff__eq_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.58/2.70 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.70 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 2.58/2.70 | V_a = V_b ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_class__semiring_Opwr__mul_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_power__mult__distrib_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_power__inverse_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.58/2.70 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_inverse__minus__eq_0,axiom,
% 2.58/2.70 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.58/2.70 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.70 | 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) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_abs__triangle__ineq2_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.58/2.70 | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ).
% 2.58/2.70
% 2.58/2.70 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 2.58/2.70 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 2.58/2.71 | 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.71 | 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.71 | 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.71 | 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.71 | 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_class__semiring_Omul__a_0,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.71 | 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.71 | 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_mult__right_Oadd_0,axiom,
% 2.58/2.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.58/2.71 | 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_mult_Oadd__right_0,axiom,
% 2.58/2.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.58/2.71 | 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_mult__left_Oadd_0,axiom,
% 2.58/2.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.58/2.71 | 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_mult_Oadd__left_0,axiom,
% 2.58/2.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.58/2.71 | 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_divide__zero_0,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.58/2.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.71 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_divide_Ozero_0,axiom,
% 2.58/2.71 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 2.58/2.71 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_exp__not__eq__zero_0,axiom,
% 2.58/2.71 ( ~ class_SEQ_Obanach(T_a)
% 2.58/2.71 | ~ class_RealVector_Oreal__normed__field(T_a)
% 2.58/2.71 | c_Transcendental_Oexp(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 2.58/2.71 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 2.58/2.71 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_add__0__left_0,axiom,
% 2.58/2.71 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 2.58/2.71 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 2.58/2.71 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.58/2.71 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.58/2.71 | ~ class_Int_Onumber__ring(T_a)
% 2.58/2.71 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.71 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 2.58/2.71 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.58/2.71 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.71 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.58/2.71 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_abs__mult__pos_0,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.58/2.71 | 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)
% 2.58/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_zero__le__power__abs_0,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.58/2.71 | 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_le__eq__neg_1,axiom,
% 2.58/2.71 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.58/2.71 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 2.58/2.71 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_le__eq__neg_0,axiom,
% 2.58/2.71 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.58/2.71 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.58/2.71 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_abs__eq__mult_3,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.58/2.71 | 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)
% 2.58/2.71 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.58/2.71 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_abs__eq__mult_2,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.58/2.71 | 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)
% 2.58/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.58/2.71 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_abs__eq__mult_1,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.58/2.71 | 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)
% 2.58/2.71 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.58/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_abs__eq__mult_0,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.58/2.71 | 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)
% 2.58/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.58/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.58/2.71 | 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_sum__squares__ge__zero_0,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.58/2.71 | 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_abs__minus__le__zero_0,axiom,
% 2.58/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.58/2.71 | 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.58/2.71 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.71 | ~ 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.58/2.71 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.58/2.71 | ~ 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) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_abs__of__nonpos_0,axiom,
% 2.58/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.58/2.71 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 2.58/2.71 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_le__divide__eq_9,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.58/2.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.71 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 2.58/2.71 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.58/2.71 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 2.58/2.71 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_divide__le__eq_9,axiom,
% 2.58/2.71 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.58/2.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.58/2.71 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 2.58/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.58/2.71 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 2.58/2.71 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_le__add__right__mono_0,axiom,
% 2.58/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.58/2.71 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 2.58/2.71 | ~ c_lessequals(V_c,V_d,T_a)
% 2.58/2.71 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_abs__ge__self_0,axiom,
% 2.58/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.58/2.71 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_add__mono_0,axiom,
% 2.58/2.71 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.58/2.71 | 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)
% 2.58/2.71 | ~ c_lessequals(V_c,V_d,T_a)
% 2.58/2.71 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_le__eqI_0,axiom,
% 2.58/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.58/2.71 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.58/2.71 | c_lessequals(V_y_H,V_x_H,T_a)
% 2.58/2.71 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.58/2.71
% 2.58/2.71 cnf(cls_le__eqI_1,axiom,
% 2.58/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.58/2.71 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.58/2.71 | c_lessequals(V_y,V_x,T_a)
% 2.58/2.71 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 2.58/2.71
% 2.71/2.71 cnf(cls_add__le__cancel__right_1,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.71/2.71 | 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)
% 2.71/2.71 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_add__le__cancel__right_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.71/2.71 | c_lessequals(V_a,V_b,T_a)
% 2.71/2.71 | ~ 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_add__le__cancel__left_1,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.71/2.71 | 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)
% 2.71/2.71 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_add__le__cancel__left_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.71/2.71 | c_lessequals(V_a,V_b,T_a)
% 2.71/2.71 | ~ 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_add__right__mono_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.71/2.71 | 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)
% 2.71/2.71 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_add__left__mono_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.71/2.71 | 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)
% 2.71/2.71 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_neg__le__iff__le_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(V_a,V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_le__imp__neg__le_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_abs__le__D1_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.71/2.71 | c_lessequals(V_a,V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_minus__le__iff_1,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_minus__le__iff_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_le__minus__iff_1,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_le__minus__iff_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_scaleR__cancel__left_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__vector(T_a)
% 2.71/2.71 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a)
% 2.71/2.71 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.71/2.71 | V_x = V_y ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_scaleR__cancel__left_1,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__vector(T_a)
% 2.71/2.71 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,T_a) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_real__sqrt__eq__0__iff_0,axiom,
% 2.71/2.71 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.71/2.71 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_pi__neq__zero_0,axiom,
% 2.71/2.71 c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_real__sqrt__zero_0,axiom,
% 2.71/2.71 c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_dist__self_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Ometric__space(T_a)
% 2.71/2.71 | c_RealVector_Odist__class_Odist(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_dist__eq__0__iff_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Ometric__space(T_a)
% 2.71/2.71 | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.71/2.71 | V_x = V_y ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_real__sqrt__le__iff_0,axiom,
% 2.71/2.71 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 2.71/2.71 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_real__sqrt__le__iff_1,axiom,
% 2.71/2.71 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 2.71/2.71 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_exp__le__cancel__iff_1,axiom,
% 2.71/2.71 ( c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.71/2.71 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_exp__le__cancel__iff_0,axiom,
% 2.71/2.71 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 2.71/2.71 | ~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_abs__ge__zero_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_add__nonpos__nonpos_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_zero__le__iff__nprt__id_1,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.71 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) != V_a
% 2.71/2.71 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_zero__le__iff__nprt__id_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.71 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) = V_a
% 2.71/2.71 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_zero__le__divide__iff_5,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_zero__le__divide__iff_4,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_le__iff__diff__le__0_1,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(V_a,V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_le__iff__diff__le__0_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_nprt__le__zero_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_divide__le__0__iff_3,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.71 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_divide__le__0__iff_2,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.71 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_divide__le__0__iff_1,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_divide__le__0__iff_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.71 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_neg__less__eq__nonneg_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_less__eq__neg__nonpos_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_minus__le__self__iff_1,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_minus__le__self__iff_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_le__minus__self__iff_1,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_le__minus__self__iff_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_zero__le__power_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_zero__le__power__iff_1,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_add__nonneg__nonneg_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_neg__0__le__iff__le_1,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_neg__0__le__iff__le_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.71 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_abs__le__zero__iff_1,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_split__mult__neg__le_1,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_split__mult__neg__le_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult__le__0__iff_5,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult__le__0__iff_4,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult__mono_H_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 2.71/2.71 | 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)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.71/2.71 | ~ c_lessequals(V_c,V_d,T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult__mono_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 2.71/2.71 | 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)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(V_c,V_d,T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_zero__le__mult__iff_3,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.71/2.71 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_zero__le__mult__iff_2,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.71/2.71 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_class__semiring_Omul__d_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_abs__minus__commute_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.71/2.71 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_minus__divide__right_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.71 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_minus__divide__left_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.71 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_diff__frac__eq_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.71 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)
% 2.71/2.71 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.71 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult_Ominus__left_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult__left_Ominus_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult_Ominus__right_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult__right_Ominus_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_square__eq__iff_1,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_minus__mult__minus_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_nonzero__norm__divide_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 2.71/2.71 | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal)
% 2.71/2.71 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_real__sqrt__divide_0,axiom,
% 2.71/2.71 c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_inverse__add_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.71 | 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)
% 2.71/2.71 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.71 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_division__ring__inverse__add_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.71/2.71 | 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)
% 2.71/2.71 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.71 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_group__add__class_Odiff__0_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.71 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_add__frac__num_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.71 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a)
% 2.71/2.71 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_add__num__frac_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.71 | c_HOL_Oplus__class_Oplus(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a)
% 2.71/2.71 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_Deriv_Oinverse__diff__inverse_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.71/2.71 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),T_a)
% 2.71/2.71 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.71 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_diff__def_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.71/2.71 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_class__ring_Osub__add_0,axiom,
% 2.71/2.71 ( ~ class_Int_Onumber__ring(T_a)
% 2.71/2.71 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_diff__minus_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.71 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_ab__diff__minus_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.71/2.71 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_nonzero__minus__divide__divide_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.71 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)
% 2.71/2.71 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_abs__of__nat_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.71/2.71 | c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) = c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_abs__leI_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_abs__le__iff_2,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.71/2.71 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_abs__minus__cancel_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.71/2.71 | ~ class_Int_Onumber__ring(T_a)
% 2.71/2.71 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 2.71/2.71 | V_y = V_z ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_add__imp__eq_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 2.71/2.71 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 2.71/2.71 | V_b = V_c ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_add__left__cancel_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 2.71/2.71 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 2.71/2.71 | V_b = V_c ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_add__right__cancel_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 2.71/2.71 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 2.71/2.71 | V_b = V_c ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_inverse__mult__distrib_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.71 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_nonzero__inverse__mult__distrib_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.71/2.71 | 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)
% 2.71/2.71 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.71 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_scaleR_Oprod__diff__prod_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.71 | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_x,V_y,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(V_x,V_a,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(V_x,V_a,tc_RealDef_Oreal),V_b,T_a),T_a),c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_dist__commute_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Ometric__space(T_a)
% 2.71/2.71 | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) = c_RealVector_Odist__class_Odist(V_y,V_x,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult_OscaleR__left_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.71/2.71 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_a,T_a),V_b,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult__left_OscaleR_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.71/2.71 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult_OscaleR__right_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.71/2.71 | c_HOL_Otimes__class_Otimes(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult__right_OscaleR_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.71/2.71 | c_HOL_Otimes__class_Otimes(V_xa,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult__scaleR__left_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__algebra(T_a)
% 2.71/2.71 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult__scaleR__right_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__algebra(T_a)
% 2.71/2.71 | c_HOL_Otimes__class_Otimes(V_x,c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_nonzero__abs__inverse_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.71 | 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)
% 2.71/2.71 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_nonzero__abs__divide_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.71 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 2.71/2.71 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_norm__diff__ineq_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),tc_RealDef_Oreal) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_mult__exp__exp_0,axiom,
% 2.71/2.71 ( ~ class_SEQ_Obanach(T_a)
% 2.71/2.71 | ~ class_RealVector_Oreal__normed__field(T_a)
% 2.71/2.71 | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_add__cancel__21_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.71/2.71 | 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)
% 2.71/2.71 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_of__real__divide_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.71 | ~ class_RealVector_Oreal__field(T_a)
% 2.71/2.71 | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(V_x,T_a),c_RealVector_Oof__real(V_y,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_divide_OscaleR_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 2.71/2.71 | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_DERIV__mult__lemma_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__field(T_a)
% 2.71/2.71 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a),V_h,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),V_h,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),V_h,T_a),V_d,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_abs__diff__triangle__ineq_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_eq__add__iff1_1,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.71/2.71 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_abs__idempotent_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_eq__add__iff1_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.71/2.71 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 2.71/2.71 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) = V_d ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_eq__add__iff2_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.71/2.71 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 2.71/2.71 | V_c = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_norm__minus__cancel_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_norm__triangle__ineq2_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.71 | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),tc_RealDef_Oreal) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_scaleR_OscaleR__right_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.71 | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_scaleR__left__commute_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__vector(T_a)
% 2.71/2.71 | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_scaleR__right_OscaleR_0,axiom,
% 2.71/2.71 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.71 | c_RealVector_OscaleR__class_OscaleR(V_ra,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_ra,V_x,T_a),T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.71/2.71 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 2.71/2.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.71/2.71 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.71/2.71 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_power__commutes_0,axiom,
% 2.71/2.71 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 2.71/2.71 | 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) ) ).
% 2.71/2.71
% 2.71/2.71 cnf(cls_of__real__diff_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.71/2.72 | c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(V_x,T_a),c_RealVector_Oof__real(V_y,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_of__real_Odiff_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.72 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.71/2.72 | c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(V_x,T_a),c_RealVector_Oof__real(V_y,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_abs__ge__minus__self_0,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_eq__divide__eq_4,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.72 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_minus__unique_0,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.72 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.72 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.71/2.72 | ~ class_Int_Onumber__ring(T_a)
% 2.71/2.72 | 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)
% 2.71/2.72 | V_c = V_d
% 2.71/2.72 | V_a = V_b ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.71/2.72 | ~ class_Int_Onumber__ring(T_a)
% 2.71/2.72 | 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)
% 2.71/2.72 | V_y = V_z
% 2.71/2.72 | V_w = V_x ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_abs__mult__self_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.71/2.72 | 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) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_nonzero__power__inverse_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.71/2.72 | 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)
% 2.71/2.72 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_nonzero__inverse__minus__eq_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.71/2.72 | 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)
% 2.71/2.72 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_add__frac__eq_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.72 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)
% 2.71/2.72 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_divide__eq__eq_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.72 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)
% 2.71/2.72 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_eq__divide__eq_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.72 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b
% 2.71/2.72 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_abs__power__minus_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.71/2.72 | 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) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_add__cancel__end_1,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.71/2.72 | 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 ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_minus__add__cancel_0,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.72 | 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 ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_minus__mult__commute_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.71/2.72 | 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) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_abs__triangle__ineq4_0,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_divide__inverse_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.72 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_class__fieldgb_Odivide__inverse_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.72 | ~ class_Int_Onumber__ring(T_a)
% 2.71/2.72 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(V_y,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_Lim_Ominus__diff__minus_0,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.71/2.72 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_nonzero__power__divide_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.72 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 2.71/2.72 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_abs__add__abs_0,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.71/2.72 | 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) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_exp__minus_0,axiom,
% 2.71/2.72 ( ~ class_SEQ_Obanach(T_a)
% 2.71/2.72 | ~ class_RealVector_Oreal__normed__field(T_a)
% 2.71/2.72 | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(V_x,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_division__ring__inverse__diff_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 2.71/2.72 | c_HOL_Ominus__class_Ominus(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_Ominus__class_Ominus(V_b,V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
% 2.71/2.72 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.71/2.72 | 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) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_frac__eq__eq_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.72 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a)
% 2.71/2.72 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_frac__eq__eq_1,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.72 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)
% 2.71/2.72 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_dist__norm_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Odist__norm(T_a)
% 2.71/2.72 | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_divide__eq__eq_4,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.72 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_minus__add_0,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.72 | 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) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_minus__add__distrib_0,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.71/2.72 | 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) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_zero__le__mult__iff_1,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.71/2.72 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_zero__le__mult__iff_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.71/2.72 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_zero__le__mult__iff_5,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_zero__le__mult__iff_4,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_zero__le__square_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_split__mult__pos__le_1,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_split__mult__pos__le_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_divide__right__mono__neg_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_divide__right__mono_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.71/2.72 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_mult__right__mono__neg_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.71/2.72 | 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)
% 2.71/2.72 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_mult__left__mono__neg_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.71/2.72 | 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)
% 2.71/2.72 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_mult__right__mono_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 2.71/2.72 | 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)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.71/2.72 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_mult__left__mono_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 2.71/2.72 | 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)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.71/2.72 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_mult__mono1_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 2.71/2.72 | 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)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.71/2.72 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_mult__le__0__iff_3,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.72 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_mult__le__0__iff_2,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.71/2.72 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_mult__le__0__iff_1,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_mult__le__0__iff_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.71/2.72 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_neg__le__0__iff__le_1,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_neg__le__0__iff__le_0,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_abs__of__nonneg_0,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.71/2.72 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_abs__le__zero__iff_0,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.71/2.72 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_zero__le__iff__zero__nprt_1,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.72 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_zero__le__iff__zero__nprt_0,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.72 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.71/2.72 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.71/2.72 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.71/2.72 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.71/2.72 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_divide__le__0__iff_5,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.72 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_divide__le__0__iff_4,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_add__increasing2_0,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.71/2.72 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.71/2.72 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(V_b,V_a,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_add__increasing_0,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.71/2.72 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.71/2.72 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(V_b,V_c,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 2.71/2.72 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | 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) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_zero__le__divide__iff_3,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.72 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_zero__le__divide__iff_2,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.72 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_zero__le__divide__iff_1,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.72 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_zero__le__divide__iff_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.72 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_power__mono_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.71/2.72 | 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)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.71/2.72 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_power__le__zero__eq_3,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.71/2.72 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.72 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.72 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_zero__le__imp__of__nat_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_of__nat__0__le__iff_0,axiom,
% 2.71/2.72 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_norm__zero_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.72 | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_scaleR__eq__0__iff_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__vector(T_a)
% 2.71/2.72 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_of__real__eq__0__iff_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.71/2.72 | c_RealVector_Oof__real(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_of__real__0_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.71/2.72 | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_of__real_Ozero_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.72 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.71/2.72 | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_norm__eq__zero_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.72 | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.71/2.72 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_scaleR_Ozero__left_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.72 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_scaleR__eq__0__iff_1,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__vector(T_a)
% 2.71/2.72 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_scaleR__left_Ononneg__bounded_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__XscaleR__left__Xnonneg__bounded__1__1(V_x,T_a),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_pi__ge__zero_0,axiom,
% 2.71/2.72 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_cos__is__zero_0,axiom,
% 2.71/2.72 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1,tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__0__le__divide__iff_5,axiom,
% 2.71/2.72 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(V_y,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__0__le__divide__iff_4,axiom,
% 2.71/2.72 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__0__le__divide__iff_3,axiom,
% 2.71/2.72 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(V_y,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__0__le__divide__iff_2,axiom,
% 2.71/2.72 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__le__eq__diff_0,axiom,
% 2.71/2.72 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__le__eq__diff_1,axiom,
% 2.71/2.72 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_Re_Ononneg__bounded_0,axiom,
% 2.71/2.72 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1,tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__sqrt__eq__zero__cancel_0,axiom,
% 2.71/2.72 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 2.71/2.72 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_mult__left_Ononneg__bounded_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.71/2.72 | 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) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_norm__ge__zero_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_divide_Ononneg__bounded_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xdivide__Xnonneg__bounded__1__1(V_y,T_a),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_zero__le__dist_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Ometric__space(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(V_x,V_y,T_a),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__sqrt__ge__zero_0,axiom,
% 2.71/2.72 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__sqrt__ge__0__iff_0,axiom,
% 2.71/2.72 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__sqrt__ge__0__iff_1,axiom,
% 2.71/2.72 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_dist__le__zero__iff_1,axiom,
% 2.71/2.72 ( ~ class_RealVector_Ometric__space(T_a)
% 2.71/2.72 | c_lessequals(c_RealVector_Odist__class_Odist(V_x,V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_tan__total__pos_0,axiom,
% 2.71/2.72 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xtan__total__pos__1__1(V_y),tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_mult__right_Ononneg__bounded_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.71/2.72 | 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) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_mult_Ononneg__bounded_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.71/2.72 | 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) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_Im_Ononneg__bounded_0,axiom,
% 2.71/2.72 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1,tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_exp__ge__zero_0,axiom,
% 2.71/2.72 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_of__real_Ononneg__bounded_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.72 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xof__real__Xnonneg__bounded__1__1(V_vskULs,T_a),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_not__exp__le__zero_0,axiom,
% 2.71/2.72 ~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__0__le__divide__iff_1,axiom,
% 2.71/2.72 ( c_lessequals(V_y,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__0__le__divide__iff_0,axiom,
% 2.71/2.72 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 2.71/2.72 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__of__nat__ge__zero_0,axiom,
% 2.71/2.72 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(V_n,tc_nat),tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_cnj_Ononneg__bounded_0,axiom,
% 2.71/2.72 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1,tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__sqrt__le__0__iff_0,axiom,
% 2.71/2.72 ( c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__sqrt__le__0__iff_1,axiom,
% 2.71/2.72 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_scaleR__right_Ononneg__bounded_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1(V_vskULu,V_r,T_a),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_dist__le__zero__iff_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Ometric__space(T_a)
% 2.71/2.72 | V_x = V_y
% 2.71/2.72 | ~ c_lessequals(c_RealVector_Odist__class_Odist(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_scaleR_Ononneg__bounded_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.72 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__XscaleR__Xnonneg__bounded__1__1(V_vskULq,T_a),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_norm__le__zero__iff_1,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.72 | 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) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_norm__le__zero__iff_0,axiom,
% 2.71/2.72 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.71/2.72 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.72 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__le__linear_0,axiom,
% 2.71/2.72 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 2.71/2.72 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_linorder__linear_0,axiom,
% 2.71/2.72 ( ~ class_Orderings_Olinorder(T_a)
% 2.71/2.72 | c_lessequals(V_y,V_x,T_a)
% 2.71/2.72 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_xt1_I6_J_0,axiom,
% 2.71/2.72 ( ~ class_Orderings_Oorder(T_a)
% 2.71/2.72 | c_lessequals(V_z,V_x,T_a)
% 2.71/2.72 | ~ c_lessequals(V_z,V_y,T_a)
% 2.71/2.72 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_order__trans_0,axiom,
% 2.71/2.72 ( ~ class_Orderings_Opreorder(T_a)
% 2.71/2.72 | c_lessequals(V_x,V_z,T_a)
% 2.71/2.72 | ~ c_lessequals(V_y,V_z,T_a)
% 2.71/2.72 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__le__refl_0,axiom,
% 2.71/2.72 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__le__trans_0,axiom,
% 2.71/2.72 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_order__eq__iff_0,axiom,
% 2.71/2.72 ( ~ class_Orderings_Oorder(T_a)
% 2.71/2.72 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_order__eq__refl_0,axiom,
% 2.71/2.72 ( ~ class_Orderings_Opreorder(T_a)
% 2.71/2.72 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_order__antisym__conv_0,axiom,
% 2.71/2.72 ( ~ class_Orderings_Oorder(T_a)
% 2.71/2.72 | V_x = V_y
% 2.71/2.72 | ~ c_lessequals(V_x,V_y,T_a)
% 2.71/2.72 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_order__eq__iff_2,axiom,
% 2.71/2.72 ( ~ class_Orderings_Oorder(T_a)
% 2.71/2.72 | V_x = V_y
% 2.71/2.72 | ~ c_lessequals(V_y,V_x,T_a)
% 2.71/2.72 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_order__antisym_0,axiom,
% 2.71/2.72 ( ~ class_Orderings_Oorder(T_a)
% 2.71/2.72 | V_x = V_y
% 2.71/2.72 | ~ c_lessequals(V_y,V_x,T_a)
% 2.71/2.72 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_real__le__antisym_0,axiom,
% 2.71/2.72 ( V_z = V_w
% 2.71/2.72 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 2.71/2.72 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_CHAINED_0,axiom,
% 2.71/2.72 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_CHAINED_0_01,axiom,
% 2.71/2.72 c_lessequals(c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(cls_conjecture_0,negated_conjecture,
% 2.71/2.72 ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 2.71/2.72 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 2.71/2.72 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 2.71/2.72 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 2.71/2.72 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 2.71/2.72 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 2.71/2.72 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 2.71/2.72 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 2.71/2.72 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 2.71/2.72 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 2.71/2.72 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 2.71/2.72 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 2.71/2.72 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 2.71/2.72 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 2.71/2.72 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 2.71/2.72 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 2.71/2.72 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 2.71/2.72 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 2.71/2.72 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 2.71/2.72 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 2.71/2.72 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 2.71/2.72 class_Ring__and__Field_Osemiring(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 2.71/2.72 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 2.71/2.72 class_Nat_Osemiring__char__0(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 2.71/2.72 class_Orderings_Opreorder(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 2.71/2.72 class_Orderings_Olinorder(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 2.71/2.72 class_Orderings_Oorder(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_nat__Power_Opower,axiom,
% 2.71/2.72 class_Power_Opower(tc_nat) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 2.71/2.72 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 2.71/2.72 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 2.71/2.72 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 2.71/2.72 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 2.71/2.72 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 2.71/2.72 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 2.71/2.72 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 2.71/2.72 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 2.71/2.72 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
% 2.71/2.72 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
% 2.71/2.72 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
% 2.71/2.72 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom,
% 2.71/2.72 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom,
% 2.71/2.72 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
% 2.71/2.72 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom,
% 2.71/2.72 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
% 2.71/2.72 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom,
% 2.71/2.72 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
% 2.71/2.72 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
% 2.71/2.72 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 2.71/2.72 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
% 2.71/2.72 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 2.71/2.72 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom,
% 2.71/2.72 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
% 2.71/2.72 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
% 2.71/2.72 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom,
% 2.71/2.72 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom,
% 2.71/2.72 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring,axiom,
% 2.71/2.72 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom,
% 2.71/2.72 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
% 2.71/2.72 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
% 2.71/2.72 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom,
% 2.71/2.72 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
% 2.71/2.72 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
% 2.71/2.72 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1,axiom,
% 2.71/2.72 class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
% 2.71/2.72 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
% 2.71/2.72 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
% 2.71/2.72 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom,
% 2.71/2.72 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom,
% 2.71/2.72 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra,axiom,
% 2.71/2.72 class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__RealVector_Ometric__space,axiom,
% 2.71/2.72 class_RealVector_Ometric__space(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom,
% 2.71/2.72 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__vector,axiom,
% 2.71/2.72 class_RealVector_Oreal__vector(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
% 2.71/2.72 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__field,axiom,
% 2.71/2.72 class_RealVector_Oreal__field(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom,
% 2.71/2.72 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__RealVector_Odist__norm,axiom,
% 2.71/2.72 class_RealVector_Odist__norm(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
% 2.71/2.72 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
% 2.71/2.72 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Nat_Osemiring__char__0,axiom,
% 2.71/2.72 class_Nat_Osemiring__char__0(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 2.71/2.72 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 2.71/2.72 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
% 2.71/2.72 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
% 2.71/2.72 class_Int_Onumber__ring(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__Power_Opower,axiom,
% 2.71/2.72 class_Power_Opower(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_RealDef__Oreal__SEQ_Obanach,axiom,
% 2.71/2.72 class_SEQ_Obanach(tc_RealDef_Oreal) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 2.71/2.72 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 2.71/2.72 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 2.71/2.72 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
% 2.71/2.72 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
% 2.71/2.72 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
% 2.71/2.72 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
% 2.71/2.72 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 2.71/2.72 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
% 2.71/2.72 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 2.71/2.72 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom,
% 2.71/2.72 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
% 2.71/2.72 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
% 2.71/2.72 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
% 2.71/2.72 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
% 2.71/2.72 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
% 2.71/2.72 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom,
% 2.71/2.72 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1,axiom,
% 2.71/2.72 class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
% 2.71/2.72 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
% 2.71/2.72 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
% 2.71/2.72 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
% 2.71/2.72 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra,axiom,
% 2.71/2.72 class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__RealVector_Ometric__space,axiom,
% 2.71/2.72 class_RealVector_Ometric__space(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
% 2.71/2.72 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__vector,axiom,
% 2.71/2.72 class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
% 2.71/2.72 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field,axiom,
% 2.71/2.72 class_RealVector_Oreal__field(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
% 2.71/2.72 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__RealVector_Odist__norm,axiom,
% 2.71/2.72 class_RealVector_Odist__norm(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
% 2.71/2.72 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
% 2.71/2.72 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Nat_Osemiring__char__0,axiom,
% 2.71/2.72 class_Nat_Osemiring__char__0(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 2.71/2.72 class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__Power_Opower,axiom,
% 2.71/2.72 class_Power_Opower(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 cnf(clsarity_Complex__Ocomplex__SEQ_Obanach,axiom,
% 2.71/2.72 class_SEQ_Obanach(tc_Complex_Ocomplex) ).
% 2.71/2.72
% 2.71/2.72 %------------------------------------------------------------------------------
% 2.71/2.72 %-------------------------------------------
% 2.71/2.72 % Proof found
% 2.71/2.72 % SZS status Theorem for theBenchmark
% 2.71/2.72 % SZS output start Proof
% 2.71/2.73 %ClaNum:720(EqnAxiom:125)
% 2.71/2.73 %VarNum:3851(SingletonVarNum:1185)
% 2.71/2.73 %MaxLitNum:6
% 2.71/2.73 %MaxfuncDepth:4
% 2.71/2.73 %SharedTerms:143
% 2.71/2.73 %goalClause: 260
% 2.71/2.73 %singleGoalClaCount:1
% 2.71/2.73 [126]P1(a1)
% 2.71/2.73 [127]P2(a1)
% 2.71/2.73 [128]P3(a1)
% 2.71/2.73 [129]P3(a2)
% 2.71/2.73 [130]P4(a1)
% 2.71/2.73 [131]P4(a2)
% 2.71/2.73 [132]P5(a1)
% 2.71/2.73 [133]P5(a2)
% 2.71/2.73 [134]P6(a1)
% 2.71/2.73 [135]P6(a2)
% 2.71/2.73 [136]P42(a1)
% 2.71/2.73 [137]P42(a2)
% 2.71/2.73 [138]P50(a1)
% 2.71/2.73 [139]P50(a2)
% 2.71/2.73 [140]P11(a1)
% 2.71/2.73 [141]P11(a2)
% 2.71/2.73 [142]P12(a1)
% 2.71/2.73 [143]P12(a2)
% 2.71/2.73 [144]P20(a1)
% 2.71/2.73 [145]P21(a1)
% 2.71/2.73 [146]P43(a1)
% 2.71/2.73 [147]P43(a2)
% 2.71/2.73 [148]P51(a1)
% 2.71/2.73 [149]P51(a2)
% 2.71/2.73 [150]P44(a1)
% 2.71/2.73 [151]P44(a35)
% 2.71/2.73 [152]P44(a2)
% 2.71/2.73 [153]P40(a1)
% 2.71/2.73 [154]P40(a35)
% 2.71/2.73 [155]P40(a2)
% 2.71/2.73 [156]P27(a1)
% 2.71/2.73 [157]P27(a2)
% 2.71/2.73 [158]P22(a1)
% 2.71/2.73 [159]P52(a1)
% 2.71/2.73 [160]P52(a2)
% 2.71/2.73 [161]P60(a1)
% 2.71/2.73 [162]P60(a35)
% 2.71/2.73 [163]P60(a2)
% 2.71/2.73 [164]P49(a1)
% 2.71/2.73 [165]P49(a35)
% 2.71/2.73 [166]P49(a2)
% 2.71/2.73 [167]P28(a1)
% 2.71/2.73 [168]P28(a35)
% 2.71/2.73 [169]P28(a2)
% 2.71/2.73 [170]P45(a1)
% 2.71/2.73 [171]P45(a2)
% 2.71/2.73 [172]P7(a1)
% 2.71/2.73 [173]P7(a2)
% 2.71/2.73 [174]P35(a1)
% 2.71/2.73 [175]P35(a2)
% 2.71/2.73 [176]P61(a1)
% 2.71/2.73 [177]P61(a35)
% 2.71/2.73 [178]P61(a2)
% 2.71/2.73 [179]P36(a1)
% 2.71/2.73 [180]P36(a2)
% 2.71/2.73 [181]P13(a1)
% 2.71/2.73 [182]P13(a35)
% 2.71/2.73 [183]P13(a2)
% 2.71/2.73 [184]P14(a1)
% 2.71/2.73 [185]P14(a35)
% 2.71/2.73 [186]P14(a2)
% 2.71/2.73 [187]P46(a1)
% 2.71/2.73 [188]P53(a1)
% 2.71/2.73 [189]P53(a2)
% 2.71/2.73 [190]P54(a1)
% 2.71/2.73 [191]P9(a1)
% 2.71/2.73 [192]P9(a35)
% 2.71/2.73 [193]P9(a2)
% 2.71/2.73 [194]P23(a1)
% 2.71/2.73 [195]P55(a1)
% 2.71/2.73 [196]P19(a1)
% 2.71/2.73 [197]P19(a35)
% 2.71/2.73 [198]P19(a2)
% 2.71/2.73 [199]P15(a1)
% 2.71/2.73 [200]P15(a35)
% 2.71/2.73 [201]P15(a2)
% 2.71/2.73 [202]P24(a1)
% 2.71/2.73 [203]P24(a35)
% 2.71/2.73 [204]P24(a2)
% 2.71/2.73 [205]P58(a1)
% 2.71/2.73 [206]P26(a1)
% 2.71/2.73 [207]P29(a1)
% 2.71/2.73 [208]P29(a35)
% 2.71/2.73 [209]P30(a1)
% 2.71/2.73 [210]P30(a35)
% 2.71/2.73 [211]P37(a1)
% 2.71/2.73 [212]P37(a2)
% 2.71/2.73 [213]P31(a1)
% 2.71/2.73 [214]P31(a35)
% 2.71/2.73 [215]P56(a1)
% 2.71/2.73 [216]P56(a35)
% 2.71/2.73 [217]P57(a1)
% 2.71/2.73 [218]P57(a35)
% 2.71/2.73 [219]P59(a1)
% 2.71/2.73 [220]P59(a35)
% 2.71/2.73 [221]P41(a1)
% 2.71/2.73 [222]P41(a35)
% 2.71/2.73 [223]P41(a2)
% 2.71/2.73 [224]P17(a1)
% 2.71/2.73 [225]P17(a35)
% 2.71/2.73 [226]P17(a2)
% 2.71/2.73 [227]P18(a1)
% 2.71/2.73 [228]P18(a35)
% 2.71/2.73 [229]P18(a2)
% 2.71/2.73 [230]P39(a1)
% 2.71/2.73 [231]P39(a2)
% 2.71/2.73 [232]P25(a1)
% 2.71/2.73 [233]P25(a35)
% 2.71/2.73 [234]P25(a2)
% 2.71/2.73 [235]P38(a1)
% 2.71/2.73 [236]P38(a2)
% 2.71/2.73 [237]P47(a1)
% 2.71/2.73 [238]P47(a35)
% 2.71/2.73 [239]P48(a1)
% 2.71/2.73 [240]P48(a35)
% 2.71/2.73 [241]P32(a1)
% 2.71/2.73 [242]P32(a35)
% 2.71/2.73 [243]P33(a1)
% 2.71/2.73 [244]P33(a35)
% 2.71/2.73 [245]P34(a1)
% 2.71/2.73 [246]P34(a35)
% 2.71/2.73 [249]P8(f3(a1),a16,a1)
% 2.71/2.73 [250]P8(f3(a1),a33,a1)
% 2.71/2.73 [251]P8(f3(a1),a4,a1)
% 2.71/2.73 [252]P8(f3(a1),a5,a1)
% 2.71/2.73 [253]P8(f3(a1),a6,a1)
% 2.71/2.73 [254]P8(f17(a36,a2),a37,a1)
% 2.71/2.73 [255]P8(f3(a1),f17(a36,a2),a1)
% 2.71/2.73 [259]~E(f3(a1),a16)
% 2.71/2.73 [260]~P8(f3(a1),a37,a1)
% 2.71/2.73 [247]E(f14(f3(a1)),f3(a1))
% 2.71/2.73 [248]P8(x2481,x2481,a1)
% 2.71/2.73 [256]P8(f3(a1),f22(x2561,a1),a1)
% 2.71/2.73 [257]P8(f3(a1),f18(x2571,a35),a1)
% 2.71/2.73 [261]~P8(f22(x2611,a1),f3(a1),a1)
% 2.71/2.73 [258]E(f7(f14(x2581),f14(x2582),a1),f14(f7(x2581,x2582,a1)))
% 2.71/2.73 [262]~E(f14(x2621),f3(a1))+E(x2621,f3(a1))
% 2.71/2.73 [411]~P8(x4111,f3(a1),a1)+P8(f14(x4111),f3(a1),a1)
% 2.71/2.73 [413]~P8(f3(a1),x4131,a1)+P8(f3(a1),f14(x4131),a1)
% 2.71/2.73 [414]~P8(f3(a1),x4141,a1)+P8(f3(a1),f34(x4141),a1)
% 2.71/2.73 [415]~P8(f14(x4151),f3(a1),a1)+P8(x4151,f3(a1),a1)
% 2.71/2.73 [416]~P8(f3(a1),f14(x4161),a1)+P8(f3(a1),x4161,a1)
% 2.71/2.73 [264]~P36(x2641)+E(f23(f3(a1),x2641),f3(x2641))
% 2.71/2.73 [265]~P5(x2651)+E(f17(f3(x2651),x2651),f3(a1))
% 2.71/2.73 [267]~P20(x2671)+E(f8(f3(x2671),x2671),f3(x2671))
% 2.71/2.73 [268]~P3(x2681)+E(f10(f3(x2681),x2681),f3(x2681))
% 2.71/2.73 [269]~P12(x2691)+E(f9(f3(x2691),x2691),f3(x2691))
% 2.71/2.73 [270]~P21(x2701)+E(f9(f3(x2701),x2701),f3(x2701))
% 2.71/2.73 [271]~P22(x2711)+E(f19(f3(x2711),x2711),f3(x2711))
% 2.71/2.73 [336]~P22(x3361)+E(f13(f3(x3361),f3(x3361),x3361),f3(x3361))
% 2.71/2.73 [368]~P5(x3681)+P8(f17(f3(x3681),x3681),f3(a1),a1)
% 2.71/2.73 [374]~P20(x3741)+P8(f8(f3(x3741),x3741),f3(x3741),x3741)
% 2.71/2.73 [544]~P55(x5441)+E(f13(f11(f3(x5441),f3(x5441),x5441),f11(f3(x5441),f3(x5441),x5441),x5441),f3(x5441))
% 2.71/2.73 [696]~P55(x6961)+P8(f13(f11(f3(x6961),f3(x6961),x6961),f11(f3(x6961),f3(x6961),x6961),x6961),f3(x6961),x6961)
% 2.71/2.73 [301]~P33(x3012)+P8(x3011,x3011,x3012)
% 2.71/2.73 [302]~P34(x3022)+P8(x3021,x3021,x3022)
% 2.71/2.73 [375]P8(x3752,x3751,a1)+P8(x3751,x3752,a1)
% 2.71/2.73 [263]E(x2631,x2632)+~E(f14(x2631),f14(x2632))
% 2.71/2.73 [281]E(x2811,x2812)+~E(f22(x2811,a1),f22(x2812,a1))
% 2.71/2.73 [282]E(x2821,x2822)+~E(f18(x2821,a35),f18(x2822,a35))
% 2.71/2.73 [303]~P16(x3032)+E(f11(x3031,x3031,x3032),x3031)
% 2.71/2.73 [304]~P37(x3042)+E(f21(x3041,x3041,x3042),f3(a1))
% 2.71/2.73 [306]~P6(x3062)+E(f12(x3061,x3061,x3062),f3(x3062))
% 2.71/2.73 [308]~P12(x3082)+E(f12(x3081,x3081,x3082),f3(x3082))
% 2.71/2.73 [342]~P20(x3422)+P8(x3421,f8(x3421,x3422),x3422)
% 2.71/2.73 [343]~P5(x3432)+P8(f3(a1),f17(x3431,x3432),a1)
% 2.71/2.73 [344]~P5(x3442)+P8(f3(a1),f25(x3441,x3442),a1)
% 2.71/2.73 [345]~P27(x3452)+P8(f3(a1),f26(x3451,x3452),a1)
% 2.71/2.73 [346]~P11(x3462)+P8(f3(a1),f27(x3461,x3462),a1)
% 2.71/2.73 [347]~P27(x3472)+P8(f3(a1),f29(x3471,x3472),a1)
% 2.71/2.73 [348]~P27(x3482)+P8(f3(a1),f28(x3481,x3482),a1)
% 2.71/2.73 [349]~P5(x3492)+P8(f3(a1),f30(x3491,x3492),a1)
% 2.71/2.73 [358]~P20(x3581)+P8(f3(x3581),f8(x3582,x3581),x3581)
% 2.71/2.73 [360]~P56(x3601)+P8(f3(x3601),f15(x3602,x3601),x3601)
% 2.71/2.73 [361]~P22(x3612)+P8(f19(x3611,x3612),f3(x3612),x3612)
% 2.71/2.73 [382]~P20(x3822)+P8(f9(x3821,x3822),f8(x3821,x3822),x3822)
% 2.71/2.73 [410]~P8(x4101,x4102,a1)+P8(f14(x4101),f14(x4102),a1)
% 2.71/2.73 [417]P8(x4171,x4172,a1)+~P8(f14(x4171),f14(x4172),a1)
% 2.71/2.73 [427]~P37(x4272)+P8(f21(x4271,x4271,x4272),f3(a1),a1)
% 2.71/2.73 [429]~P55(x4291)+P8(f3(x4291),f11(x4292,x4292,x4291),x4291)
% 2.71/2.73 [447]~P8(x4471,x4472,a1)+P8(f22(x4471,a1),f22(x4472,a1),a1)
% 2.71/2.73 [485]P8(x4851,x4852,a1)+~P8(f22(x4851,a1),f22(x4852,a1),a1)
% 2.71/2.73 [520]~P8(x5201,x5202,a1)+P8(f12(x5201,x5202,a1),f3(a1),a1)
% 2.71/2.73 [540]P8(x5401,x5402,a1)+~P8(f12(x5401,x5402,a1),f3(a1),a1)
% 2.71/2.73 [287]~P12(x2872)+E(f9(f9(x2871,x2872),x2872),x2871)
% 2.71/2.73 [288]~P10(x2882)+E(f9(f9(x2881,x2882),x2882),x2881)
% 2.71/2.73 [297]~P20(x2972)+E(f8(f8(x2971,x2972),x2972),f8(x2971,x2972))
% 2.71/2.73 [298]~P20(x2982)+E(f8(f9(x2981,x2982),x2982),f8(x2981,x2982))
% 2.71/2.73 [299]~P1(x2992)+E(f8(f15(x2991,x2992),x2992),f15(x2991,x2992))
% 2.71/2.73 [300]~P5(x3002)+E(f17(f9(x3001,x3002),x3002),f17(x3001,x3002))
% 2.71/2.73 [309]~P40(x3092)+E(f13(x3091,f3(x3092),x3092),x3091)
% 2.71/2.73 [310]~P14(x3102)+E(f13(x3101,f3(x3102),x3102),x3101)
% 2.71/2.73 [311]~P24(x3112)+E(f13(x3111,f3(x3112),x3112),x3111)
% 2.71/2.73 [312]~P12(x3122)+E(f12(x3121,f3(x3122),x3122),x3121)
% 2.71/2.73 [314]~P40(x3141)+E(f13(f3(x3141),x3142,x3141),x3142)
% 2.71/2.73 [315]~P14(x3151)+E(f13(f3(x3151),x3152,x3151),x3152)
% 2.71/2.73 [316]~P24(x3161)+E(f13(f3(x3161),x3162,x3161),x3162)
% 2.71/2.73 [317]~P4(x3172)+E(f24(f3(a1),x3171,x3172),f3(x3172))
% 2.71/2.73 [318]~P5(x3182)+E(f24(f3(a1),x3181,x3182),f3(x3182))
% 2.71/2.73 [319]~P4(x3192)+E(f24(x3191,f3(x3192),x3192),f3(x3192))
% 2.71/2.73 [320]~P5(x3202)+E(f24(x3201,f3(x3202),x3202),f3(x3202))
% 2.71/2.73 [321]~P51(x3212)+E(f11(x3211,f3(x3212),x3212),f3(x3212))
% 2.71/2.73 [322]~P44(x3222)+E(f11(x3221,f3(x3222),x3222),f3(x3222))
% 2.71/2.73 [323]~P40(x3232)+E(f11(x3231,f3(x3232),x3232),f3(x3232))
% 2.71/2.73 [325]~P27(x3252)+E(f11(x3251,f3(x3252),x3252),f3(x3252))
% 2.71/2.73 [326]~P42(x3261)+E(f7(f3(x3261),x3262,x3261),f3(x3261))
% 2.71/2.73 [327]~P11(x3271)+E(f7(f3(x3271),x3272,x3271),f3(x3271))
% 2.71/2.73 [328]~P51(x3281)+E(f11(f3(x3281),x3282,x3281),f3(x3281))
% 2.71/2.73 [329]~P44(x3291)+E(f11(f3(x3291),x3292,x3291),f3(x3291))
% 2.71/2.73 [331]~P40(x3311)+E(f11(f3(x3311),x3312,x3311),f3(x3311))
% 2.71/2.73 [333]~P27(x3331)+E(f11(f3(x3331),x3332,x3331),f3(x3331))
% 2.71/2.73 [340]~P12(x3401)+E(f12(f3(x3401),x3402,x3401),f9(x3402,x3401))
% 2.71/2.73 [351]~P12(x3512)+E(f13(x3511,f9(x3511,x3512),x3512),f3(x3512))
% 2.71/2.73 [352]~P6(x3522)+E(f13(f9(x3521,x3522),x3521,x3522),f3(x3522))
% 2.71/2.73 [354]~P12(x3542)+E(f13(f9(x3541,x3542),x3541,x3542),f3(x3542))
% 2.71/2.73 [407]~P20(x4072)+P8(f9(f8(x4071,x4072),x4072),f3(x4072),x4072)
% 2.71/2.73 [419]~P1(x4192)+E(f11(f8(x4191,x4192),f8(x4191,x4192),x4192),f11(x4191,x4191,x4192))
% 2.71/2.73 [421]~P45(x4212)+E(f11(f9(x4211,x4212),f9(x4211,x4212),x4212),f11(x4211,x4211,x4212))
% 2.71/2.73 [386]~P40(x3863)+E(f13(x3861,x3862,x3863),f13(x3862,x3861,x3863))
% 2.71/2.73 [387]~P14(x3873)+E(f13(x3871,x3872,x3873),f13(x3872,x3871,x3873))
% 2.71/2.73 [389]~P40(x3893)+E(f11(x3891,x3892,x3893),f11(x3892,x3891,x3893))
% 2.71/2.73 [390]~P37(x3903)+E(f21(x3901,x3902,x3903),f21(x3902,x3901,x3903))
% 2.71/2.73 [425]~P37(x4253)+P8(f3(a1),f21(x4251,x4252,x4253),a1)
% 2.71/2.73 [426]~P5(x4263)+P8(f3(a1),f32(x4261,x4262,x4263),a1)
% 2.71/2.73 [395]~P4(x3952)+E(f24(f3(a1),x3951,x3952),f24(f3(a1),x3953,x3952))
% 2.71/2.73 [397]~P4(x3972)+E(f24(x3971,f3(x3972),x3972),f24(x3973,f3(x3972),x3972))
% 2.71/2.73 [400]~P42(x4003)+E(f11(x4001,f10(x4002,x4003),x4003),f7(x4001,x4002,x4003))
% 2.71/2.73 [402]~P6(x4023)+E(f13(x4021,f9(x4022,x4023),x4023),f12(x4021,x4022,x4023))
% 2.71/2.73 [403]~P12(x4033)+E(f13(x4031,f9(x4032,x4033),x4033),f12(x4031,x4032,x4033))
% 2.71/2.73 [404]~P7(x4043)+E(f13(x4041,f9(x4042,x4043),x4043),f12(x4041,x4042,x4043))
% 2.71/2.73 [405]~P36(x4052)+E(f11(f23(x4051,x4052),x4053,x4052),f24(x4051,x4053,x4052))
% 2.71/2.73 [406]~P12(x4063)+E(f12(x4061,f9(x4062,x4063),x4063),f13(x4061,x4062,x4063))
% 2.71/2.73 [418]~P53(x4182)+E(f11(f9(x4181,x4182),x4183,x4182),f11(x4181,f9(x4183,x4182),x4182))
% 2.71/2.73 [420]~P53(x4202)+E(f11(f9(x4201,x4202),f9(x4203,x4202),x4202),f11(x4201,x4203,x4202))
% 2.71/2.73 [422]~P12(x4223)+E(f13(f12(x4221,x4222,x4223),x4222,x4223),x4221)
% 2.71/2.73 [423]~P12(x4233)+E(f12(f13(x4231,x4232,x4233),x4232,x4233),x4231)
% 2.71/2.73 [445]~P38(x4453)+E(f17(f12(x4451,x4452,x4453),x4453),f21(x4451,x4452,x4453))
% 2.71/2.73 [446]~P6(x4463)+E(f9(f12(x4461,x4462,x4463),x4463),f12(x4462,x4461,x4463))
% 2.71/2.73 [466]~P6(x4662)+E(f13(f9(x4661,x4662),f13(x4663,x4661,x4662),x4662),x4663)
% 2.71/2.73 [467]~P12(x4672)+E(f13(f9(x4671,x4672),f13(x4671,x4673,x4672),x4672),x4673)
% 2.71/2.73 [474]~P53(x4743)+E(f11(x4741,f9(x4742,x4743),x4743),f9(f11(x4741,x4742,x4743),x4743))
% 2.71/2.73 [475]~P1(x4752)+E(f20(f8(x4751,x4752),x4753,x4752),f8(f20(x4751,x4753,x4752),x4752))
% 2.71/2.73 [476]~P42(x4762)+E(f7(f9(x4761,x4762),x4763,x4762),f9(f7(x4761,x4763,x4762),x4762))
% 2.71/2.73 [477]~P53(x4772)+E(f11(f9(x4771,x4772),x4773,x4772),f9(f11(x4771,x4773,x4772),x4772))
% 2.71/2.73 [478]~P4(x4783)+E(f24(x4781,f9(x4782,x4783),x4783),f9(f24(x4781,x4782,x4783),x4783))
% 2.71/2.73 [479]~P5(x4793)+E(f24(x4791,f9(x4792,x4793),x4793),f9(f24(x4791,x4792,x4793),x4793))
% 2.71/2.73 [481]~P27(x4813)+E(f11(x4811,f9(x4812,x4813),x4813),f9(f11(x4811,x4812,x4813),x4813))
% 2.71/2.73 [482]~P11(x4822)+E(f7(f9(x4821,x4822),x4823,x4822),f9(f7(x4821,x4823,x4822),x4822))
% 2.71/2.73 [484]~P27(x4842)+E(f11(f9(x4841,x4842),x4843,x4842),f9(f11(x4841,x4843,x4842),x4842))
% 2.71/2.73 [499]~P16(x4993)+E(f11(x4991,f11(x4991,x4992,x4993),x4993),f11(x4991,x4992,x4993))
% 2.71/2.73 [500]~P1(x5001)+P8(f3(x5001),f20(f8(x5002,x5001),x5003,x5001),x5001)
% 2.71/2.73 [502]~P36(x5022)+E(f12(f23(x5021,x5022),f23(x5023,x5022),x5022),f23(f12(x5021,x5023,a1),x5022))
% 2.71/2.73 [503]~P1(x5032)+E(f11(f8(x5031,x5032),f8(x5033,x5032),x5032),f8(f11(x5031,x5033,x5032),x5032))
% 2.71/2.73 [504]~P12(x5042)+E(f13(f9(x5041,x5042),f9(x5043,x5042),x5042),f9(f13(x5043,x5041,x5042),x5042))
% 2.71/2.73 [505]~P6(x5052)+E(f13(f9(x5051,x5052),f9(x5053,x5052),x5052),f9(f13(x5051,x5053,x5052),x5052))
% 2.71/2.73 [506]~P6(x5062)+E(f12(f9(x5061,x5062),f9(x5063,x5062),x5062),f9(f12(x5061,x5063,x5062),x5062))
% 2.71/2.73 [522]~P20(x5223)+E(f8(f12(x5221,x5222,x5223),x5223),f8(f12(x5222,x5221,x5223),x5223))
% 2.71/2.73 [523]~P5(x5233)+E(f17(f12(x5231,x5232,x5233),x5233),f17(f12(x5232,x5231,x5233),x5233))
% 2.71/2.73 [563]~P25(x5633)+E(f11(f20(x5631,x5632,x5633),x5631,x5633),f11(x5631,f20(x5631,x5632,x5633),x5633))
% 2.71/2.73 [672]~P5(x6722)+P8(f12(f17(x6721,x6722),f17(x6723,x6722),a1),f17(f13(x6721,x6723,x6722),x6722),a1)
% 2.71/2.73 [673]~P5(x6732)+P8(f12(f17(x6731,x6732),f17(x6733,x6732),a1),f17(f12(x6731,x6733,x6732),x6732),a1)
% 2.71/2.73 [675]~P20(x6753)+P8(f8(f13(x6751,x6752,x6753),x6753),f13(f8(x6751,x6753),f8(x6752,x6753),x6753),x6753)
% 2.71/2.73 [676]~P46(x6763)+P8(f8(f11(x6761,x6762,x6763),x6763),f11(f8(x6761,x6763),f8(x6762,x6763),x6763),x6763)
% 2.71/2.73 [677]~P20(x6773)+P8(f8(f12(x6771,x6772,x6773),x6773),f13(f8(x6771,x6773),f8(x6772,x6773),x6773),x6773)
% 2.71/2.73 [678]~P20(x6782)+P8(f12(f8(x6781,x6782),f8(x6783,x6782),x6782),f8(f12(x6781,x6783,x6782),x6782),x6782)
% 2.71/2.73 [691]~P55(x6911)+P8(f3(x6911),f13(f11(x6912,x6912,x6911),f11(x6913,x6913,x6911),x6911),x6911)
% 2.71/2.73 [498]~P12(x4982)+E(f13(x4981,f13(f9(x4981,x4982),x4983,x4982),x4982),x4983)
% 2.71/2.73 [535]~P1(x5352)+E(f8(f20(f9(x5351,x5352),x5353,x5352),x5352),f8(f20(x5351,x5353,x5352),x5352))
% 2.71/2.73 [579]~P20(x5792)+E(f8(f13(f8(x5791,x5792),f8(x5793,x5792),x5792),x5792),f13(f8(x5791,x5792),f8(x5793,x5792),x5792))
% 2.71/2.73 [697]~P20(x6972)+P8(f8(f12(f8(x6971,x6972),f8(x6973,x6972),x6972),x6972),f8(f12(x6971,x6973,x6972),x6972),x6972)
% 2.71/2.73 [545]~P6(x5454)+E(f13(x5451,f13(x5452,x5453,x5454),x5454),f13(x5452,f13(x5451,x5453,x5454),x5454))
% 2.71/2.73 [546]~P40(x5464)+E(f13(x5461,f13(x5462,x5463,x5464),x5464),f13(x5462,f13(x5461,x5463,x5464),x5464))
% 2.71/2.73 [547]~P14(x5474)+E(f13(x5471,f13(x5472,x5473,x5474),x5474),f13(x5472,f13(x5471,x5473,x5474),x5474))
% 2.71/2.73 [548]~P4(x5484)+E(f24(x5481,f24(x5482,x5483,x5484),x5484),f24(x5482,f24(x5481,x5483,x5484),x5484))
% 2.71/2.73 [550]~P5(x5504)+E(f24(x5501,f24(x5502,x5503,x5504),x5504),f24(x5502,f24(x5501,x5503,x5504),x5504))
% 2.71/2.73 [552]~P27(x5524)+E(f24(x5521,f11(x5522,x5523,x5524),x5524),f11(x5522,f24(x5521,x5523,x5524),x5524))
% 2.71/2.73 [553]~P39(x5534)+E(f24(x5531,f11(x5532,x5533,x5534),x5534),f11(x5532,f24(x5531,x5533,x5534),x5534))
% 2.71/2.73 [554]~P40(x5544)+E(f11(x5541,f11(x5542,x5543,x5544),x5544),f11(x5542,f11(x5541,x5543,x5544),x5544))
% 2.71/2.73 [559]~P11(x5594)+E(f24(x5591,f7(x5592,x5593,x5594),x5594),f7(f24(x5591,x5592,x5594),x5593,x5594))
% 2.71/2.73 [560]~P40(x5603)+E(f13(f13(x5601,x5602,x5603),x5604,x5603),f13(x5601,f13(x5602,x5604,x5603),x5603))
% 2.71/2.73 [561]~P13(x5613)+E(f13(f13(x5611,x5612,x5613),x5614,x5613),f13(x5611,f13(x5612,x5614,x5613),x5613))
% 2.71/2.73 [562]~P14(x5623)+E(f13(f13(x5621,x5622,x5623),x5624,x5623),f13(x5621,f13(x5622,x5624,x5623),x5623))
% 2.71/2.73 [565]~P27(x5654)+E(f24(x5651,f11(x5652,x5653,x5654),x5654),f11(f24(x5651,x5652,x5654),x5653,x5654))
% 2.71/2.73 [566]~P39(x5664)+E(f24(x5661,f11(x5662,x5663,x5664),x5664),f11(f24(x5661,x5662,x5664),x5663,x5664))
% 2.71/2.73 [567]~P40(x5673)+E(f11(f11(x5671,x5672,x5673),x5674,x5673),f11(x5671,f11(x5672,x5674,x5673),x5673))
% 2.71/2.73 [568]~P15(x5683)+E(f11(f11(x5681,x5682,x5683),x5684,x5683),f11(x5681,f11(x5682,x5684,x5683),x5683))
% 2.71/2.73 [569]~P40(x5693)+E(f13(f13(x5691,x5692,x5693),x5694,x5693),f13(f13(x5691,x5694,x5693),x5692,x5693))
% 2.71/2.73 [570]~P40(x5703)+E(f11(f11(x5701,x5702,x5703),x5704,x5703),f11(f11(x5701,x5704,x5703),x5702,x5703))
% 2.71/2.73 [632]~P4(x6323)+E(f12(f24(x6321,x6322,x6323),f24(x6324,x6322,x6323),x6323),f24(f12(x6321,x6324,a1),x6322,x6323))
% 2.71/2.73 [633]~P5(x6333)+E(f12(f24(x6331,x6332,x6333),f24(x6334,x6332,x6333),x6333),f24(f12(x6331,x6334,a1),x6332,x6333))
% 2.71/2.73 [634]~P4(x6343)+E(f13(f24(x6341,x6342,x6343),f24(x6341,x6344,x6343),x6343),f24(x6341,f13(x6342,x6344,x6343),x6343))
% 2.71/2.73 [635]~P5(x6353)+E(f13(f24(x6351,x6352,x6353),f24(x6351,x6354,x6353),x6353),f24(x6351,f13(x6352,x6354,x6353),x6353))
% 2.71/2.73 [636]~P4(x6363)+E(f12(f24(x6361,x6362,x6363),f24(x6361,x6364,x6363),x6363),f24(x6361,f12(x6362,x6364,x6363),x6363))
% 2.71/2.73 [637]~P5(x6373)+E(f12(f24(x6371,x6372,x6373),f24(x6371,x6374,x6373),x6373),f24(x6371,f12(x6372,x6374,x6373),x6373))
% 2.71/2.73 [638]~P40(x6383)+E(f13(f11(x6381,x6382,x6383),f11(x6381,x6384,x6383),x6383),f11(x6381,f13(x6382,x6384,x6383),x6383))
% 2.71/2.73 [640]~P27(x6403)+E(f13(f11(x6401,x6402,x6403),f11(x6401,x6404,x6403),x6403),f11(x6401,f13(x6402,x6404,x6403),x6403))
% 2.71/2.73 [642]~P27(x6423)+E(f12(f11(x6421,x6422,x6423),f11(x6421,x6424,x6423),x6423),f11(x6421,f12(x6422,x6424,x6423),x6423))
% 2.71/2.73 [643]~P40(x6433)+E(f11(f20(x6431,x6432,x6433),f20(x6434,x6432,x6433),x6433),f20(f11(x6431,x6434,x6433),x6432,x6433))
% 2.71/2.73 [644]~P19(x6443)+E(f11(f20(x6441,x6442,x6443),f20(x6444,x6442,x6443),x6443),f20(f11(x6441,x6444,x6443),x6442,x6443))
% 2.71/2.73 [645]~P42(x6453)+E(f13(f7(x6451,x6452,x6453),f7(x6454,x6452,x6453),x6453),f7(f13(x6451,x6454,x6453),x6452,x6453))
% 2.71/2.73 [646]~P11(x6463)+E(f13(f7(x6461,x6462,x6463),f7(x6464,x6462,x6463),x6463),f7(f13(x6461,x6464,x6463),x6462,x6463))
% 2.71/2.73 [647]~P42(x6473)+E(f12(f7(x6471,x6472,x6473),f7(x6474,x6472,x6473),x6473),f7(f12(x6471,x6474,x6473),x6472,x6473))
% 2.71/2.73 [648]~P11(x6483)+E(f12(f7(x6481,x6482,x6483),f7(x6484,x6482,x6483),x6483),f7(f12(x6481,x6484,x6483),x6482,x6483))
% 2.71/2.73 [651]~P27(x6513)+E(f13(f11(x6511,x6512,x6513),f11(x6514,x6512,x6513),x6513),f11(f13(x6511,x6514,x6513),x6512,x6513))
% 2.71/2.73 [652]~P41(x6523)+E(f13(f11(x6521,x6522,x6523),f11(x6524,x6522,x6523),x6523),f11(f13(x6521,x6524,x6523),x6522,x6523))
% 2.71/2.73 [654]~P27(x6543)+E(f12(f11(x6541,x6542,x6543),f11(x6544,x6542,x6543),x6543),f11(f12(x6541,x6544,x6543),x6542,x6543))
% 2.71/2.73 [655]~P40(x6553)+E(f13(f11(x6551,x6552,x6553),f11(x6554,x6552,x6553),x6553),f11(f13(x6551,x6554,x6553),x6552,x6553))
% 2.71/2.73 [680]~P40(x6803)+E(f13(f13(x6801,x6802,x6803),f13(x6804,x6805,x6803),x6803),f13(f13(x6801,x6804,x6803),f13(x6802,x6805,x6803),x6803))
% 2.71/2.73 [681]~P40(x6813)+E(f11(f11(x6811,x6812,x6813),f11(x6814,x6815,x6813),x6813),f11(f11(x6811,x6814,x6813),f11(x6812,x6815,x6813),x6813))
% 2.71/2.73 [682]~P6(x6823)+E(f13(f12(x6821,x6822,x6823),f12(x6824,x6825,x6823),x6823),f12(f13(x6821,x6824,x6823),f13(x6822,x6825,x6823),x6823))
% 2.71/2.73 [702]~P61(x7023)+E(f13(f11(x7021,x7022,x7023),f13(f11(x7024,x7022,x7023),x7025,x7023),x7023),f13(f11(f13(x7021,x7024,x7023),x7022,x7023),x7025,x7023))
% 2.71/2.73 [718]~P20(x7183)+P8(f8(f12(f13(x7181,x7182,x7183),f13(x7184,x7185,x7183),x7183),x7183),f13(f8(f12(x7181,x7184,x7183),x7183),f8(f12(x7182,x7185,x7183),x7183),x7183),x7183)
% 2.71/2.73 [719]~P5(x7195)+E(f13(f13(f24(f12(x7191,x7192,a1),f12(x7193,x7194,x7195),x7195),f24(f12(x7191,x7192,a1),x7194,x7195),x7195),f24(x7192,f12(x7193,x7194,x7195),x7195),x7195),f12(f24(x7191,x7193,x7195),f24(x7192,x7194,x7195),x7195))
% 2.71/2.73 [720]~P27(x7203)+E(f13(f13(f11(f12(x7201,x7202,x7203),f12(x7204,x7205,x7203),x7203),f11(f12(x7201,x7202,x7203),x7205,x7203),x7203),f11(x7202,f12(x7204,x7205,x7203),x7203),x7203),f12(f11(x7201,x7204,x7203),f11(x7202,x7205,x7203),x7203))
% 2.71/2.73 [711]~P53(x7113)+E(f13(f11(x7111,x7112,x7113),f13(f11(f12(x7114,x7111,x7113),x7112,x7113),x7115,x7113),x7113),f13(f11(x7114,x7112,x7113),x7115,x7113))
% 2.71/2.73 [717]~P35(x7174)+E(f13(f11(x7171,f7(f12(x7172,x7173,x7174),x7175,x7174),x7174),f11(f7(f12(x7171,x7176,x7174),x7175,x7174),x7173,x7174),x7174),f7(f12(f11(x7171,x7172,x7174),f11(x7176,x7173,x7174),x7174),x7175,x7174))
% 2.71/2.73 [448]~P31(x4481)+~P8(f3(x4481),f3(x4481),x4481)+E(f13(f3(x4481),f3(x4481),x4481),f3(x4481))
% 2.71/2.73 [424]E(x4241,x4242)+~P8(x4242,x4241,a1)+~P8(x4241,x4242,a1)
% 2.71/2.73 [273]~P21(x2732)+~E(f9(x2731,x2732),x2731)+E(x2731,f3(x2732))
% 2.71/2.73 [275]~P5(x2752)+E(x2751,f3(x2752))+~E(f17(x2751,x2752),f3(a1))
% 2.71/2.73 [276]~P36(x2762)+~E(f23(x2761,x2762),f3(x2762))+E(x2761,f3(a1))
% 2.71/2.73 [277]~P20(x2772)+~E(f8(x2771,x2772),f3(x2772))+E(x2771,f3(x2772))
% 2.71/2.73 [278]~P43(x2782)+~E(f10(x2781,x2782),f3(x2782))+E(x2781,f3(x2782))
% 2.71/2.73 [279]~P12(x2792)+~E(f9(x2791,x2792),f3(x2792))+E(x2791,f3(x2792))
% 2.71/2.73 [280]~P12(x2801)+~E(f9(x2802,x2801),f3(x2801))+E(f3(x2801),x2802)
% 2.71/2.73 [283]~P50(x2832)+~P11(x2832)+~E(f22(x2831,x2832),f3(x2832))
% 2.71/2.73 [334]~P45(x3342)+~P7(x3342)+E(f12(x3341,x3341,x3342),f3(x3342))
% 2.71/2.73 [355]~P22(x3552)+P8(x3551,f3(x3552),x3552)+~E(f19(x3551,x3552),x3551)
% 2.71/2.73 [365]~P5(x3652)+~P36(x3652)+P8(f3(a1),f31(x3651,x3652),a1)
% 2.71/2.73 [366]~P22(x3661)+P8(f3(x3661),x3662,x3661)+~E(f19(x3662,x3661),f3(x3661))
% 2.71/2.73 [373]~P22(x3732)+~E(f13(x3731,x3731,x3732),f3(x3732))+E(x3731,f3(x3732))
% 2.71/2.73 [392]~P22(x3922)+~P8(x3921,f3(x3922),x3922)+E(f19(x3921,x3922),x3921)
% 2.71/2.73 [393]~P20(x3932)+~P8(f3(x3932),x3931,x3932)+E(f8(x3931,x3932),x3931)
% 2.71/2.73 [394]~P22(x3942)+~P8(f3(x3942),x3941,x3942)+E(f19(x3941,x3942),f3(x3942))
% 2.71/2.73 [398]~P20(x3982)+~P8(x3981,f3(x3982),x3982)+E(f8(x3981,x3982),f9(x3981,x3982))
% 2.71/2.73 [399]~P5(x3992)+E(x3991,f3(x3992))+~P8(f17(x3991,x3992),f3(a1),a1)
% 2.71/2.73 [408]~P20(x4082)+~P8(f8(x4081,x4082),f3(x4082),x4082)+E(x4081,f3(x4082))
% 2.71/2.73 [449]~P21(x4492)+~P8(x4491,f3(x4492),x4492)+P8(x4491,f9(x4491,x4492),x4492)
% 2.71/2.73 [450]~P22(x4502)+~P8(x4501,f3(x4502),x4502)+P8(x4501,f9(x4501,x4502),x4502)
% 2.71/2.73 [451]~P21(x4512)+~P8(f3(x4512),x4511,x4512)+P8(f9(x4511,x4512),x4511,x4512)
% 2.71/2.73 [452]~P22(x4522)+~P8(f3(x4522),x4521,x4522)+P8(f9(x4521,x4522),x4521,x4522)
% 2.71/2.73 [458]~P26(x4581)+~P8(x4582,f3(x4581),x4581)+P8(f3(x4581),f9(x4582,x4581),x4581)
% 2.71/2.73 [459]~P26(x4592)+~P8(f3(x4592),x4591,x4592)+P8(f9(x4591,x4592),f3(x4592),x4592)
% 2.71/2.73 [462]~P21(x4622)+~P8(x4621,f9(x4621,x4622),x4622)+P8(x4621,f3(x4622),x4622)
% 2.71/2.73 [463]~P22(x4632)+~P8(x4631,f9(x4631,x4632),x4632)+P8(x4631,f3(x4632),x4632)
% 2.71/2.73 [464]~P21(x4641)+~P8(f9(x4642,x4641),x4642,x4641)+P8(f3(x4641),x4642,x4641)
% 2.71/2.73 [465]~P22(x4651)+~P8(f9(x4652,x4651),x4652,x4651)+P8(f3(x4651),x4652,x4651)
% 2.71/2.73 [472]~P26(x4722)+~P8(f3(x4722),f9(x4721,x4722),x4722)+P8(x4721,f3(x4722),x4722)
% 2.71/2.73 [473]~P26(x4731)+~P8(f9(x4732,x4731),f3(x4731),x4731)+P8(f3(x4731),x4732,x4731)
% 2.71/2.73 [528]~P22(x5281)+~P8(f3(x5281),x5282,x5281)+P8(f3(x5281),f13(x5282,x5282,x5281),x5281)
% 2.71/2.73 [529]~P22(x5292)+~P8(x5291,f3(x5292),x5292)+P8(f13(x5291,x5291,x5292),f3(x5292),x5292)
% 2.71/2.73 [571]~P22(x5712)+~P8(f13(x5711,x5711,x5712),f3(x5712),x5712)+P8(x5711,f3(x5712),x5712)
% 2.71/2.73 [572]~P22(x5721)+~P8(f3(x5721),f13(x5722,x5722,x5721),x5721)+P8(f3(x5721),x5722,x5721)
% 2.71/2.73 [575]~P8(x5752,f3(a1),a1)+~P8(x5751,f3(a1),a1)+P8(f3(a1),f7(x5751,x5752,a1),a1)
% 2.71/2.73 [576]~P8(x5762,f3(a1),a1)+~P8(f3(a1),x5762,a1)+P8(f3(a1),f7(x5761,x5762,a1),a1)
% 2.71/2.73 [577]~P8(x5771,f3(a1),a1)+~P8(f3(a1),x5771,a1)+P8(f3(a1),f7(x5771,x5772,a1),a1)
% 2.71/2.73 [578]~P8(f3(a1),x5782,a1)+~P8(f3(a1),x5781,a1)+P8(f3(a1),f7(x5781,x5782,a1),a1)
% 2.71/2.73 [589]P8(x5891,f3(a1),a1)+P8(f3(a1),x5892,a1)+~P8(f3(a1),f7(x5891,x5892,a1),a1)
% 2.71/2.73 [590]P8(x5901,f3(a1),a1)+P8(f3(a1),x5902,a1)+~P8(f3(a1),f7(x5902,x5901,a1),a1)
% 2.71/2.73 [290]~P43(x2902)+E(x2901,f3(x2902))+E(f10(f10(x2901,x2902),x2902),x2901)
% 2.71/2.73 [295]~P3(x2952)+~P43(x2952)+E(f10(f10(x2951,x2952),x2952),x2951)
% 2.71/2.73 [335]~P45(x3352)+~P7(x3352)+E(f13(x3351,f3(x3352),x3352),x3351)
% 2.71/2.73 [339]~P3(x3392)+~P42(x3392)+E(f7(x3391,f3(x3392),x3392),f3(x3392))
% 2.71/2.73 [350]~P50(x3502)+~P11(x3502)+E(f22(f23(x3501,x3502),x3502),f23(f22(x3501,a1),x3502))
% 2.71/2.73 [356]~P2(x3562)+E(x3561,f3(x3562))+E(f10(f8(x3561,x3562),x3562),f8(f10(x3561,x3562),x3562))
% 2.71/2.73 [357]~P43(x3572)+E(x3571,f3(x3572))+E(f10(f9(x3571,x3572),x3572),f9(f10(x3571,x3572),x3572))
% 2.71/2.73 [362]~P2(x3622)+~P3(x3622)+E(f10(f8(x3621,x3622),x3622),f8(f10(x3621,x3622),x3622))
% 2.71/2.73 [363]~P3(x3632)+~P43(x3632)+E(f10(f9(x3631,x3632),x3632),f9(f10(x3631,x3632),x3632))
% 2.71/2.73 [364]~P50(x3642)+~P11(x3642)+E(f10(f22(x3641,x3642),x3642),f22(f9(x3641,x3642),x3642))
% 2.71/2.73 [461]~P3(x4611)+~P42(x4611)+E(f7(f11(f3(x4611),x4612,x4611),x4612,x4611),f3(x4611))
% 2.71/2.73 [391]P8(x3912,x3911,x3913)+~P32(x3913)+P8(x3911,x3912,x3913)
% 2.71/2.73 [497]~P8(x4971,x4973,a1)+P8(x4971,x4972,a1)+~P8(x4973,x4972,a1)
% 2.71/2.73 [291]~P12(x2913)+E(x2911,x2912)+~E(f9(x2911,x2913),f9(x2912,x2913))
% 2.71/2.73 [292]~P10(x2923)+E(x2921,x2922)+~E(f9(x2921,x2923),f9(x2922,x2923))
% 2.71/2.73 [293]~P36(x2933)+E(x2931,x2932)+~E(f23(x2931,x2933),f23(x2932,x2933))
% 2.71/2.73 [294]~P9(x2943)+E(x2941,x2942)+~E(f15(x2941,x2943),f15(x2942,x2943))
% 2.71/2.73 [367]~P37(x3673)+E(x3671,x3672)+~E(f21(x3671,x3672,x3673),f3(a1))
% 2.71/2.73 [369]~P6(x3693)+E(x3691,x3692)+~E(f12(x3691,x3692,x3693),f3(x3693))
% 2.71/2.73 [370]~P12(x3703)+E(x3701,x3702)+~E(f12(x3701,x3702,x3703),f3(x3703))
% 2.71/2.73 [372]~P52(x3722)+~E(f20(x3721,x3723,x3722),f3(x3722))+E(x3721,f3(x3722))
% 2.71/2.73 [383]~P12(x3833)+~E(f13(x3831,x3832,x3833),f3(x3833))+E(x3831,f9(x3832,x3833))
% 2.71/2.73 [384]~P12(x3842)+~E(f13(x3841,x3843,x3842),f3(x3842))+E(f9(x3841,x3842),x3843)
% 2.71/2.73 [456]~P20(x4563)+P8(x4561,x4562,x4563)+~P8(f8(x4561,x4563),x4562,x4563)
% 2.71/2.73 [471]~P26(x4712)+~P8(x4713,x4711,x4712)+P8(f9(x4711,x4712),f9(x4713,x4712),x4712)
% 2.71/2.73 [491]~P26(x4913)+~P8(x4912,f9(x4911,x4913),x4913)+P8(x4911,f9(x4912,x4913),x4913)
% 2.71/2.73 [492]~P20(x4922)+~P8(f8(x4921,x4922),x4923,x4922)+P8(f9(x4921,x4922),x4923,x4922)
% 2.71/2.73 [494]~P26(x4942)+~P8(f9(x4943,x4942),x4941,x4942)+P8(f9(x4941,x4942),x4943,x4942)
% 2.71/2.73 [501]~P26(x5013)+P8(x5011,x5012,x5013)+~P8(f9(x5012,x5013),f9(x5011,x5013),x5013)
% 2.71/2.73 [524]~P26(x5243)+~P8(x5241,x5242,x5243)+P8(f12(x5241,x5242,x5243),f3(x5243),x5243)
% 2.71/2.73 [525]E(x5251,x5252)+~P37(x5253)+~P8(f21(x5251,x5252,x5253),f3(a1),a1)
% 2.71/2.73 [526]~P1(x5261)+~P8(f3(x5261),x5262,x5261)+P8(f3(x5261),f20(x5262,x5263,x5261),x5261)
% 2.71/2.73 [527]~P56(x5271)+~P8(f3(x5271),x5272,x5271)+P8(f3(x5271),f20(x5272,x5273,x5271),x5271)
% 2.71/2.73 [538]~P22(x5383)+~P8(x5381,f9(x5382,x5383),x5383)+P8(f13(x5381,x5382,x5383),f3(x5383),x5383)
% 2.71/2.73 [543]~P26(x5433)+P8(x5431,x5432,x5433)+~P8(f12(x5431,x5432,x5433),f3(x5433),x5433)
% 2.71/2.73 [582]~P22(x5823)+~P8(f13(x5821,x5822,x5823),f3(x5823),x5823)+P8(x5821,f9(x5822,x5823),x5823)
% 2.71/2.73 [428]~P42(x4282)+E(x4281,f3(x4282))+E(f7(f9(x4283,x4282),f9(x4281,x4282),x4282),f7(x4283,x4281,x4282))
% 2.71/2.73 [431]~P42(x4312)+E(x4311,f3(x4312))+E(f7(f11(x4313,x4311,x4312),x4311,x4312),x4313)
% 2.71/2.73 [432]~P3(x4322)+~P42(x4322)+E(f7(f9(x4321,x4322),f9(x4323,x4322),x4322),f7(x4321,x4323,x4322))
% 2.71/2.73 [457]~P3(x4573)+~P42(x4573)+E(f10(f7(x4571,x4572,x4573),x4573),f7(x4572,x4571,x4573))
% 2.71/2.73 [488]~P42(x4882)+E(x4881,f3(x4882))+E(f7(x4883,f9(x4881,x4882),x4882),f9(f7(x4883,x4881,x4882),x4882))
% 2.71/2.73 [489]~P43(x4892)+E(x4891,f3(x4892))+E(f20(f10(x4891,x4892),x4893,x4892),f10(f20(x4891,x4893,x4892),x4892))
% 2.71/2.73 [495]~P3(x4953)+~P42(x4953)+E(f7(x4951,f9(x4952,x4953),x4953),f9(f7(x4951,x4952,x4953),x4953))
% 2.71/2.73 [496]~P3(x4962)+~P43(x4962)+E(f20(f10(x4961,x4962),x4963,x4962),f10(f20(x4961,x4963,x4962),x4962))
% 2.71/2.73 [509]~P35(x5093)+E(x5091,f3(a1))+E(f7(f23(x5092,x5093),f23(x5091,x5093),x5093),f23(f7(x5092,x5091,a1),x5093))
% 2.71/2.73 [510]~P11(x5102)+E(x5101,f3(x5102))+E(f7(f17(x5103,x5102),f17(x5101,x5102),a1),f17(f7(x5103,x5101,x5102),x5102))
% 2.71/2.73 [511]~P3(x5112)+~P35(x5112)+E(f7(f23(x5111,x5112),f23(x5113,x5112),x5112),f23(f7(x5111,x5113,a1),x5112))
% 2.71/2.73 [513]~P2(x5132)+E(x5131,f3(x5132))+E(f7(f8(x5133,x5132),f8(x5131,x5132),x5132),f8(f7(x5133,x5131,x5132),x5132))
% 2.71/2.73 [514]~P3(x5142)+~P11(x5142)+E(f7(f17(x5141,x5142),f17(x5143,x5142),a1),f17(f7(x5141,x5143,x5142),x5142))
% 2.71/2.73 [515]~P2(x5152)+~P3(x5152)+E(f7(f8(x5151,x5152),f8(x5153,x5152),x5152),f8(f7(x5151,x5153,x5152),x5152))
% 2.71/2.73 [516]~P3(x5162)+~P42(x5162)+E(f11(f10(x5161,x5162),f10(x5163,x5162),x5162),f10(f11(x5161,x5163,x5162),x5162))
% 2.71/2.73 [518]~P50(x5182)+~P11(x5182)+E(f7(f22(x5181,x5182),f22(x5183,x5182),x5182),f22(f12(x5181,x5183,x5182),x5182))
% 2.71/2.73 [519]~P50(x5192)+~P11(x5192)+E(f11(f22(x5191,x5192),f22(x5193,x5192),x5192),f22(f13(x5191,x5193,x5192),x5192))
% 2.71/2.73 [539]~P1(x5392)+~P8(f3(x5392),x5393,x5392)+E(f11(f8(x5391,x5392),x5393,x5392),f8(f11(x5391,x5393,x5392),x5392))
% 2.71/2.73 [656]~P55(x6562)+E(x6561,f3(x6562))+~E(f13(f11(x6563,x6563,x6562),f11(x6561,x6561,x6562),x6562),f3(x6562))
% 2.71/2.73 [657]~P55(x6572)+E(x6571,f3(x6572))+~E(f13(f11(x6571,x6571,x6572),f11(x6573,x6573,x6572),x6572),f3(x6572))
% 2.71/2.73 [705]~P55(x7052)+E(x7051,f3(x7052))+~P8(f13(f11(x7053,x7053,x7052),f11(x7051,x7051,x7052),x7052),f3(x7052),x7052)
% 2.71/2.73 [706]~P55(x7062)+E(x7061,f3(x7062))+~P8(f13(f11(x7061,x7061,x7062),f11(x7063,x7063,x7062),x7062),f3(x7062),x7062)
% 2.71/2.73 [433]~P17(x4334)+E(x4331,x4332)+~E(f13(x4333,x4331,x4334),f13(x4333,x4332,x4334))
% 2.71/2.73 [434]~P18(x4344)+E(x4341,x4342)+~E(f13(x4343,x4341,x4344),f13(x4343,x4342,x4344))
% 2.71/2.73 [435]~P6(x4354)+E(x4351,x4352)+~E(f12(x4353,x4353,x4354),f12(x4351,x4352,x4354))
% 2.71/2.73 [436]~P18(x4364)+E(x4361,x4362)+~E(f13(x4361,x4363,x4364),f13(x4362,x4363,x4364))
% 2.71/2.73 [437]~P6(x4373)+E(x4371,x4372)+~E(f12(x4371,x4372,x4373),f12(x4374,x4374,x4373))
% 2.71/2.73 [585]~P29(x5853)+~P8(x5851,x5854,x5853)+P8(f13(x5851,x5852,x5853),f13(x5854,x5852,x5853),x5853)
% 2.71/2.73 [586]~P30(x5863)+~P8(x5861,x5864,x5863)+P8(f13(x5861,x5862,x5863),f13(x5864,x5862,x5863),x5863)
% 2.71/2.73 [587]~P29(x5873)+~P8(x5872,x5874,x5873)+P8(f13(x5871,x5872,x5873),f13(x5871,x5874,x5873),x5873)
% 2.71/2.73 [588]~P30(x5883)+~P8(x5882,x5884,x5883)+P8(f13(x5881,x5882,x5883),f13(x5881,x5884,x5883),x5883)
% 2.71/2.73 [670]~P30(x6703)+P8(x6701,x6702,x6703)+~P8(f13(x6704,x6701,x6703),f13(x6704,x6702,x6703),x6703)
% 2.71/2.73 [671]~P30(x6713)+P8(x6711,x6712,x6713)+~P8(f13(x6711,x6714,x6713),f13(x6712,x6714,x6713),x6713)
% 2.71/2.73 [530]~P6(x5303)+E(x5301,f9(x5302,x5303))+~E(f13(x5301,f13(x5304,x5302,x5303),x5303),x5304)
% 2.71/2.73 [573]~P3(x5733)+~P42(x5733)+E(f11(f7(x5731,x5732,x5733),x5734,x5733),f7(f11(x5731,x5734,x5733),x5732,x5733))
% 2.71/2.73 [658]~P42(x6582)+E(x6581,f3(x6582))+E(f7(f20(x6583,x6584,x6582),f20(x6581,x6584,x6582),x6582),f20(f7(x6583,x6581,x6582),x6584,x6582))
% 2.71/2.73 [659]~P3(x6593)+~P42(x6593)+E(f7(f20(x6591,x6592,x6593),f20(x6594,x6592,x6593),x6593),f20(f7(x6591,x6594,x6593),x6592,x6593))
% 2.71/2.73 [669]~P23(x6694)+~P8(f13(x6691,x6693,x6694),x6692,x6694)+P8(x6691,f13(x6692,f8(x6693,x6694),x6694),x6694)
% 2.71/2.73 [684]~P45(x6843)+~P7(x6843)+E(f13(f11(x6841,x6842,x6843),f11(x6841,x6844,x6843),x6843),f13(f11(x6841,x6844,x6843),f11(x6841,x6842,x6843),x6843))
% 2.71/2.73 [626]~P6(x6263)+E(f13(x6261,x6262,x6263),x6264)+~E(f13(x6261,f13(x6265,x6262,x6263),x6263),f13(x6265,x6264,x6263))
% 2.71/2.73 [685]~P3(x6853)+~P42(x6853)+E(f11(f7(x6851,x6852,x6853),f7(x6854,x6855,x6853),x6853),f7(f11(x6851,x6854,x6853),f11(x6852,x6855,x6853),x6853))
% 2.71/2.73 [703]~P53(x7034)+~E(f13(f11(x7033,x7035,x7034),x7031,x7034),f13(f11(x7032,x7035,x7034),x7036,x7034))+E(x7031,f13(f11(f12(x7032,x7033,x7034),x7035,x7034),x7036,x7034))
% 2.71/2.73 [704]~P53(x7043)+~E(f13(f11(x7041,x7044,x7043),x7045,x7043),f13(f11(x7042,x7044,x7043),x7046,x7043))+E(f13(f11(f12(x7041,x7042,x7043),x7044,x7043),x7045,x7043),x7046)
% 2.71/2.73 [712]~P54(x7124)+~P8(f13(f11(x7123,x7125,x7124),x7121,x7124),f13(f11(x7122,x7125,x7124),x7126,x7124),x7124)+P8(x7121,f13(f11(f12(x7122,x7123,x7124),x7125,x7124),x7126,x7124),x7124)
% 2.71/2.73 [713]~P54(x7133)+~P8(f13(f11(x7131,x7134,x7133),x7135,x7133),f13(f11(x7132,x7134,x7133),x7136,x7133),x7133)+P8(f13(f11(f12(x7131,x7132,x7133),x7134,x7133),x7135,x7133),x7136,x7133)
% 2.71/2.73 [714]~P54(x7143)+P8(f13(f11(x7141,x7142,x7143),x7144,x7143),f13(f11(x7145,x7142,x7143),x7146,x7143),x7143)+~P8(x7144,f13(f11(f12(x7145,x7141,x7143),x7142,x7143),x7146,x7143),x7143)
% 2.71/2.73 [715]~P54(x7153)+P8(f13(f11(x7151,x7152,x7153),x7154,x7153),f13(f11(x7155,x7152,x7153),x7156,x7153),x7153)+~P8(f13(f11(f12(x7151,x7155,x7153),x7152,x7153),x7154,x7153),x7156,x7153)
% 2.71/2.73 [469]~P2(x4691)+~P3(x4691)+~P8(f3(x4691),x4692,x4691)+P8(f3(x4691),f10(x4692,x4691),x4691)
% 2.71/2.73 [470]~P2(x4702)+~P3(x4702)+~P8(x4701,f3(x4702),x4702)+P8(f10(x4701,x4702),f3(x4702),x4702)
% 2.71/2.73 [486]~P2(x4862)+~P3(x4862)+~P8(f10(x4861,x4862),f3(x4862),x4862)+P8(x4861,f3(x4862),x4862)
% 2.71/2.73 [487]~P2(x4871)+~P3(x4871)+~P8(f3(x4871),f10(x4872,x4871),x4871)+P8(f3(x4871),x4872,x4871)
% 2.71/2.73 [440]~P8(x4402,x4401,x4403)+~P8(x4401,x4402,x4403)+E(x4401,x4402)+~P33(x4403)
% 2.71/2.73 [296]~P3(x2963)+~P43(x2963)+E(x2961,x2962)+~E(f10(x2961,x2963),f10(x2962,x2963))
% 2.71/2.73 [376]~P45(x3762)+~P7(x3762)+~E(f13(x3763,x3761,x3762),x3763)+E(x3761,f3(x3762))
% 2.71/2.73 [377]~P4(x3772)+~E(f24(x3773,x3771,x3772),f3(x3772))+E(x3771,f3(x3772))+E(x3773,f3(a1))
% 2.71/2.73 [378]~P45(x3783)+~P7(x3783)+E(x3781,x3782)+~E(f12(x3781,x3782,x3783),f3(x3783))
% 2.71/2.73 [379]~P51(x3792)+~E(f11(x3793,x3791,x3792),f3(x3792))+E(x3791,f3(x3792))+E(x3793,f3(x3792))
% 2.71/2.73 [381]~P49(x3812)+~E(f11(x3813,x3811,x3812),f3(x3812))+E(x3811,f3(x3812))+E(x3813,f3(x3812))
% 2.71/2.73 [468]~P45(x4683)+E(x4681,x4682)+~E(f11(x4681,x4681,x4683),f11(x4682,x4682,x4683))+E(x4681,f9(x4682,x4683))
% 2.71/2.73 [537]~P20(x5372)+~P8(x5371,x5373,x5372)+~P8(f9(x5371,x5372),x5373,x5372)+P8(f8(x5371,x5372),x5373,x5372)
% 2.71/2.73 [574]~P1(x5742)+~P8(f20(x5741,x5743,x5742),f3(x5742),x5742)+P8(x5741,f3(x5742),x5742)+E(x5741,f3(x5742))
% 2.71/2.73 [592]~P54(x5921)+~P8(x5923,f3(x5921),x5921)+~P8(x5922,f3(x5921),x5921)+P8(f3(x5921),f11(x5922,x5923,x5921),x5921)
% 2.71/2.73 [593]~P55(x5931)+~P8(x5933,f3(x5931),x5931)+~P8(x5932,f3(x5931),x5931)+P8(f3(x5931),f11(x5932,x5933,x5931),x5931)
% 2.71/2.73 [594]~P31(x5941)+~P8(f3(x5941),x5943,x5941)+~P8(f3(x5941),x5942,x5941)+P8(f3(x5941),f13(x5942,x5943,x5941),x5941)
% 2.71/2.73 [595]~P54(x5951)+~P8(f3(x5951),x5953,x5951)+~P8(f3(x5951),x5952,x5951)+P8(f3(x5951),f11(x5952,x5953,x5951),x5951)
% 2.71/2.73 [596]~P55(x5961)+~P8(f3(x5961),x5963,x5961)+~P8(f3(x5961),x5962,x5961)+P8(f3(x5961),f11(x5962,x5963,x5961),x5961)
% 2.71/2.73 [597]~P57(x5971)+~P8(f3(x5971),x5973,x5971)+~P8(f3(x5971),x5972,x5971)+P8(f3(x5971),f11(x5972,x5973,x5971),x5971)
% 2.71/2.73 [598]~P31(x5983)+~P8(x5982,f3(x5983),x5983)+~P8(x5981,f3(x5983),x5983)+P8(f13(x5981,x5982,x5983),f3(x5983),x5983)
% 2.71/2.73 [599]~P55(x5993)+~P8(x5992,f3(x5993),x5993)+~P8(f3(x5993),x5991,x5993)+P8(f11(x5991,x5992,x5993),f3(x5993),x5993)
% 2.71/2.73 [600]~P55(x6003)+~P8(x6001,f3(x6003),x6003)+~P8(f3(x6003),x6002,x6003)+P8(f11(x6001,x6002,x6003),f3(x6003),x6003)
% 2.71/2.73 [602]~P57(x6023)+~P8(x6022,f3(x6023),x6023)+~P8(f3(x6023),x6021,x6023)+P8(f11(x6021,x6022,x6023),f3(x6023),x6023)
% 2.71/2.73 [605]~P57(x6053)+~P8(x6051,f3(x6053),x6053)+~P8(f3(x6053),x6052,x6053)+P8(f11(x6051,x6052,x6053),f3(x6053),x6053)
% 2.71/2.73 [610]~P55(x6102)+~P8(f11(x6103,x6101,x6102),f3(x6102),x6102)+P8(x6101,f3(x6102),x6102)+P8(x6103,f3(x6102),x6102)
% 2.71/2.73 [611]~P55(x6112)+~P8(f3(x6112),f11(x6113,x6111,x6112),x6112)+P8(x6111,f3(x6112),x6112)+P8(f3(x6112),x6113,x6112)
% 2.71/2.73 [612]~P55(x6122)+~P8(f3(x6122),f11(x6121,x6123,x6122),x6122)+P8(x6121,f3(x6122),x6122)+P8(f3(x6122),x6123,x6122)
% 2.71/2.73 [613]~P55(x6132)+~P8(f3(x6132),f11(x6133,x6131,x6132),x6132)+P8(x6131,f3(x6132),x6132)+P8(f3(x6132),x6131,x6132)
% 2.71/2.73 [614]~P55(x6142)+~P8(f3(x6142),f11(x6141,x6143,x6142),x6142)+P8(x6141,f3(x6142),x6142)+P8(f3(x6142),x6141,x6142)
% 2.71/2.73 [615]~P55(x6152)+~P8(f11(x6153,x6151,x6152),f3(x6152),x6152)+P8(x6151,f3(x6152),x6152)+P8(f3(x6152),x6151,x6152)
% 2.71/2.73 [616]~P55(x6162)+~P8(f11(x6161,x6163,x6162),f3(x6162),x6162)+P8(x6161,f3(x6162),x6162)+P8(f3(x6162),x6161,x6162)
% 2.71/2.73 [617]~P55(x6171)+~P8(f11(x6172,x6173,x6171),f3(x6171),x6171)+P8(f3(x6171),x6172,x6171)+P8(f3(x6171),x6173,x6171)
% 2.71/2.73 [444]~P3(x4442)+~P42(x4442)+E(x4441,f3(x4442))+E(f11(f7(x4443,x4441,x4442),x4441,x4442),x4443)
% 2.71/2.73 [521]~P43(x5212)+E(x5211,f3(x5212))+E(x5213,f3(x5212))+E(f11(f10(x5211,x5212),f10(x5213,x5212),x5212),f10(f11(x5213,x5211,x5212),x5212))
% 2.71/2.73 [627]~P58(x6272)+~P8(x6273,f3(x6272),x6272)+~P8(x6271,f3(x6272),x6272)+E(f11(f8(x6271,x6272),f8(x6273,x6272),x6272),f8(f11(x6271,x6273,x6272),x6272))
% 2.71/2.73 [628]~P58(x6282)+~P8(x6283,f3(x6282),x6282)+~P8(f3(x6282),x6281,x6282)+E(f11(f8(x6281,x6282),f8(x6283,x6282),x6282),f8(f11(x6281,x6283,x6282),x6282))
% 2.71/2.73 [629]~P58(x6292)+~P8(x6291,f3(x6292),x6292)+~P8(f3(x6292),x6293,x6292)+E(f11(f8(x6291,x6292),f8(x6293,x6292),x6292),f8(f11(x6291,x6293,x6292),x6292))
% 2.71/2.73 [630]~P58(x6302)+~P8(f3(x6302),x6303,x6302)+~P8(f3(x6302),x6301,x6302)+E(f11(f8(x6301,x6302),f8(x6303,x6302),x6302),f8(f11(x6301,x6303,x6302),x6302))
% 2.71/2.73 [688]~P43(x6882)+E(x6881,f3(x6882))+E(x6883,f3(x6882))+E(f11(f11(f10(x6883,x6882),f13(x6883,x6881,x6882),x6882),f10(x6881,x6882),x6882),f13(f10(x6883,x6882),f10(x6881,x6882),x6882))
% 2.71/2.73 [689]~P43(x6892)+E(x6891,f3(x6892))+E(x6893,f3(x6892))+E(f11(f11(f10(x6893,x6892),f12(x6891,x6893,x6892),x6892),f10(x6891,x6892),x6892),f12(f10(x6893,x6892),f10(x6891,x6892),x6892))
% 2.71/2.73 [690]~P42(x6902)+E(x6901,f3(x6902))+E(x6903,f3(x6902))+E(f11(f11(f13(x6903,x6901,x6902),f10(x6903,x6902),x6902),f10(x6901,x6902),x6902),f13(f10(x6903,x6902),f10(x6901,x6902),x6902))
% 2.71/2.73 [709]~P43(x7092)+E(x7091,f3(x7092))+E(x7093,f3(x7092))+E(f9(f11(f11(f10(x7093,x7092),f12(x7093,x7091,x7092),x7092),f10(x7091,x7092),x7092),x7092),f12(f10(x7093,x7092),f10(x7091,x7092),x7092))
% 2.71/2.73 [507]~P33(x5073)+~P8(x5071,x5074,x5073)+P8(x5071,x5072,x5073)+~P8(x5074,x5072,x5073)
% 2.71/2.73 [508]~P34(x5083)+~P8(x5081,x5084,x5083)+P8(x5081,x5082,x5083)+~P8(x5084,x5082,x5083)
% 2.71/2.73 [453]~P4(x4534)+E(x4531,x4532)+~E(f24(x4533,x4531,x4534),f24(x4533,x4532,x4534))+E(x4533,f3(a1))
% 2.71/2.73 [454]~P4(x4544)+E(x4541,x4542)+~E(f24(x4541,x4543,x4544),f24(x4542,x4543,x4544))+E(x4543,f3(x4544))
% 2.71/2.73 [455]~P45(x4554)+~P7(x4554)+E(x4551,x4552)+~E(f13(x4553,x4551,x4554),f13(x4553,x4552,x4554))
% 2.71/2.73 [661]~P54(x6613)+~P8(x6614,x6611,x6613)+~P8(x6612,f3(x6613),x6613)+P8(f11(x6611,x6612,x6613),f11(x6614,x6612,x6613),x6613)
% 2.71/2.73 [662]~P54(x6623)+~P8(x6624,x6622,x6623)+~P8(x6621,f3(x6623),x6623)+P8(f11(x6621,x6622,x6623),f11(x6621,x6624,x6623),x6623)
% 2.71/2.73 [663]~P56(x6633)+~P8(x6631,x6634,x6633)+~P8(f3(x6633),x6631,x6633)+P8(f20(x6631,x6632,x6633),f20(x6634,x6632,x6633),x6633)
% 2.71/2.73 [664]~P47(x6643)+~P8(x6641,x6644,x6643)+~P8(f3(x6643),x6642,x6643)+P8(f11(x6641,x6642,x6643),f11(x6644,x6642,x6643),x6643)
% 2.71/2.73 [665]~P47(x6653)+~P8(x6652,x6654,x6653)+~P8(f3(x6653),x6651,x6653)+P8(f11(x6651,x6652,x6653),f11(x6651,x6654,x6653),x6653)
% 2.71/2.73 [666]~P48(x6663)+~P8(x6662,x6664,x6663)+~P8(f3(x6663),x6661,x6663)+P8(f11(x6661,x6662,x6663),f11(x6661,x6664,x6663),x6663)
% 2.71/2.73 [580]~P3(x5802)+~P42(x5802)+E(x5801,f3(x5802))+E(f7(f11(x5803,x5801,x5802),f11(x5804,x5801,x5802),x5802),f7(x5803,x5804,x5802))
% 2.71/2.73 [581]~P3(x5812)+~P42(x5812)+E(x5811,f3(x5812))+E(f7(f11(x5811,x5813,x5812),f11(x5811,x5814,x5812),x5812),f7(x5813,x5814,x5812))
% 2.71/2.73 [686]~P3(x6862)+~P42(x6862)+E(x6861,f3(x6862))+E(f7(f13(x6863,f11(x6864,x6861,x6862),x6862),x6861,x6862),f13(x6864,f7(x6863,x6861,x6862),x6862))
% 2.71/2.73 [687]~P3(x6872)+~P42(x6872)+E(x6871,f3(x6872))+E(f7(f13(x6873,f11(x6874,x6871,x6872),x6872),x6871,x6872),f13(f7(x6873,x6871,x6872),x6874,x6872))
% 2.71/2.73 [716]~P11(x7162)+E(x7161,f3(x7162))+E(x7163,f3(x7162))+E(f9(f11(f11(f10(x7163,x7162),f7(f12(x7163,x7161,x7162),x7164,x7162),x7162),f10(x7161,x7162),x7162),x7162),f7(f12(f10(x7163,x7162),f10(x7161,x7162),x7162),x7164,x7162))
% 2.71/2.73 [541]~P26(x5413)+~P8(x5415,x5414,x5413)+P8(x5411,x5412,x5413)+~E(f12(x5414,x5415,x5413),f12(x5412,x5411,x5413))
% 2.71/2.73 [542]~P26(x5423)+~P8(x5425,x5424,x5423)+P8(x5421,x5422,x5423)+~E(f12(x5422,x5421,x5423),f12(x5424,x5425,x5423))
% 2.71/2.73 [660]~P29(x6603)+~P8(x6602,x6605,x6603)+~P8(x6601,x6604,x6603)+P8(f13(x6601,x6602,x6603),f13(x6604,x6605,x6603),x6603)
% 2.71/2.73 [674]~P26(x6744)+~P8(x6745,x6743,x6744)+~P8(x6741,f13(x6742,x6745,x6744),x6744)+P8(x6741,f13(x6742,x6743,x6744),x6744)
% 2.71/2.73 [707]~P42(x7072)+E(x7071,f3(x7072))+E(x7073,f3(x7072))+E(f7(f13(f11(x7074,x7071,x7072),f11(x7075,x7073,x7072),x7072),f11(x7073,x7071,x7072),x7072),f13(f7(x7074,x7073,x7072),f7(x7075,x7071,x7072),x7072))
% 2.71/2.73 [708]~P42(x7082)+E(x7081,f3(x7082))+E(x7083,f3(x7082))+E(f7(f12(f11(x7084,x7081,x7082),f11(x7085,x7083,x7082),x7082),f11(x7083,x7081,x7082),x7082),f12(f7(x7084,x7083,x7082),f7(x7085,x7081,x7082),x7082))
% 2.71/2.73 [305]~P43(x3053)+E(x3051,x3052)+~E(f10(x3051,x3053),f10(x3052,x3053))+E(x3052,f3(x3053))+E(x3051,f3(x3053))
% 2.71/2.73 [531]~P31(x5312)+~P8(f3(x5312),x5311,x5312)+~P8(f3(x5312),x5313,x5312)+~E(f13(x5313,x5311,x5312),f3(x5312))+E(x5311,f3(x5312))
% 2.71/2.73 [532]~P31(x5322)+~P8(f3(x5322),x5323,x5322)+~P8(f3(x5322),x5321,x5322)+~E(f13(x5321,x5323,x5322),f3(x5322))+E(x5321,f3(x5322))
% 2.71/2.73 [606]~P2(x6061)+~P3(x6061)+~P8(x6063,f3(x6061),x6061)+~P8(x6062,f3(x6061),x6061)+P8(f3(x6061),f7(x6062,x6063,x6061),x6061)
% 2.71/2.73 [607]~P2(x6071)+~P3(x6071)+~P8(f3(x6071),x6073,x6071)+~P8(f3(x6071),x6072,x6071)+P8(f3(x6071),f7(x6072,x6073,x6071),x6071)
% 2.71/2.73 [608]~P2(x6083)+~P3(x6083)+~P8(x6082,f3(x6083),x6083)+~P8(f3(x6083),x6081,x6083)+P8(f7(x6081,x6082,x6083),f3(x6083),x6083)
% 2.71/2.73 [609]~P2(x6093)+~P3(x6093)+~P8(x6091,f3(x6093),x6093)+~P8(f3(x6093),x6092,x6093)+P8(f7(x6091,x6092,x6093),f3(x6093),x6093)
% 2.71/2.73 [618]~P2(x6182)+~P3(x6182)+~P8(f7(x6183,x6181,x6182),f3(x6182),x6182)+P8(x6181,f3(x6182),x6182)+P8(x6183,f3(x6182),x6182)
% 2.71/2.73 [619]~P2(x6192)+~P3(x6192)+~P8(f3(x6192),f7(x6193,x6191,x6192),x6192)+P8(x6191,f3(x6192),x6192)+P8(f3(x6192),x6193,x6192)
% 2.71/2.73 [620]~P2(x6202)+~P3(x6202)+~P8(f3(x6202),f7(x6201,x6203,x6202),x6202)+P8(x6201,f3(x6202),x6202)+P8(f3(x6202),x6203,x6202)
% 2.71/2.73 [621]~P2(x6212)+~P3(x6212)+~P8(f3(x6212),f7(x6213,x6211,x6212),x6212)+P8(x6211,f3(x6212),x6212)+P8(f3(x6212),x6211,x6212)
% 2.71/2.73 [622]~P2(x6222)+~P3(x6222)+~P8(f3(x6222),f7(x6221,x6223,x6222),x6222)+P8(x6221,f3(x6222),x6222)+P8(f3(x6222),x6221,x6222)
% 2.71/2.73 [623]~P2(x6232)+~P3(x6232)+~P8(f7(x6233,x6231,x6232),f3(x6232),x6232)+P8(x6231,f3(x6232),x6232)+P8(f3(x6232),x6231,x6232)
% 2.71/2.73 [624]~P2(x6242)+~P3(x6242)+~P8(f7(x6241,x6243,x6242),f3(x6242),x6242)+P8(x6241,f3(x6242),x6242)+P8(f3(x6242),x6241,x6242)
% 2.71/2.73 [625]~P2(x6251)+~P3(x6251)+~P8(f7(x6252,x6253,x6251),f3(x6251),x6251)+P8(f3(x6251),x6252,x6251)+P8(f3(x6251),x6253,x6251)
% 2.71/2.73 [583]~P14(x5834)+~P30(x5834)+~P8(x5831,x5833,x5834)+~P8(f3(x5834),x5832,x5834)+P8(x5831,f13(x5832,x5833,x5834),x5834)
% 2.71/2.73 [584]~P14(x5844)+~P30(x5844)+~P8(x5841,x5842,x5844)+~P8(f3(x5844),x5843,x5844)+P8(x5841,f13(x5842,x5843,x5844),x5844)
% 2.71/2.73 [667]~P2(x6673)+~P3(x6673)+~P8(x6674,x6671,x6673)+~P8(x6672,f3(x6673),x6673)+P8(f7(x6671,x6672,x6673),f7(x6674,x6672,x6673),x6673)
% 2.71/2.73 [668]~P2(x6683)+~P3(x6683)+~P8(x6681,x6684,x6683)+~P8(f3(x6683),x6682,x6683)+P8(f7(x6681,x6682,x6683),f7(x6684,x6682,x6683),x6683)
% 2.71/2.73 [533]~P42(x5332)+~E(f11(x5334,x5333,x5332),f11(x5335,x5331,x5332))+E(f7(x5334,x5331,x5332),f7(x5335,x5333,x5332))+E(x5331,f3(x5332))+E(x5333,f3(x5332))
% 2.71/2.73 [534]~P42(x5342)+~E(f7(x5344,x5343,x5342),f7(x5345,x5341,x5342))+E(f11(x5344,x5341,x5342),f11(x5345,x5343,x5342))+E(x5341,f3(x5342))+E(x5343,f3(x5342))
% 2.71/2.73 [679]~P45(x6794)+~P7(x6794)+E(x6791,x6792)+E(x6793,f3(x6794))+~E(f13(x6795,f11(x6793,x6791,x6794),x6794),f13(x6795,f11(x6793,x6792,x6794),x6794))
% 2.71/2.73 [701]~P45(x7015)+~P7(x7015)+E(x7011,x7012)+E(x7013,x7014)+~E(f13(f11(x7013,x7011,x7015),f11(x7014,x7012,x7015),x7015),f13(f11(x7013,x7012,x7015),f11(x7014,x7011,x7015),x7015))
% 2.71/2.73 [396]~P44(x3962)+~P60(x3962)+~P49(x3962)+~P28(x3962)+~E(f20(x3961,x3963,x3962),f3(x3962))+E(x3961,f3(x3962))
% 2.71/2.73 [698]~P2(x6984)+~P3(x6984)+~P8(x6981,f3(x6984),x6984)+~P8(x6982,f11(x6981,x6983,x6984),x6984)+~P8(f11(x6981,x6983,x6984),x6982,x6984)+P8(x6981,f7(x6982,x6983,x6984),x6984)
% 2.71/2.73 [699]~P2(x6993)+~P3(x6993)+~P8(f3(x6993),x6994,x6993)+~P8(x6991,f11(x6994,x6992,x6993),x6993)+~P8(f11(x6994,x6992,x6993),x6991,x6993)+P8(f7(x6991,x6992,x6993),x6994,x6993)
% 2.71/2.73 [692]~P59(x6923)+~P8(x6922,x6925,x6923)+~P8(x6921,x6924,x6923)+~P8(f3(x6923),x6924,x6923)+~P8(f3(x6923),x6922,x6923)+P8(f11(x6921,x6922,x6923),f11(x6924,x6925,x6923),x6923)
% 2.71/2.73 [693]~P59(x6933)+~P8(x6932,x6935,x6933)+~P8(x6931,x6934,x6933)+~P8(f3(x6933),x6932,x6933)+~P8(f3(x6933),x6931,x6933)+P8(f11(x6931,x6932,x6933),f11(x6934,x6935,x6933),x6933)
% 2.71/2.73 %EqnAxiom
% 2.71/2.73 [1]E(x11,x11)
% 2.71/2.73 [2]E(x22,x21)+~E(x21,x22)
% 2.71/2.73 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.71/2.73 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 2.71/2.73 [5]~E(x51,x52)+E(f14(x51),f14(x52))
% 2.71/2.73 [6]~E(x61,x62)+E(f12(x61,x63,x64),f12(x62,x63,x64))
% 2.71/2.73 [7]~E(x71,x72)+E(f12(x73,x71,x74),f12(x73,x72,x74))
% 2.71/2.73 [8]~E(x81,x82)+E(f12(x83,x84,x81),f12(x83,x84,x82))
% 2.71/2.73 [9]~E(x91,x92)+E(f11(x91,x93,x94),f11(x92,x93,x94))
% 2.71/2.73 [10]~E(x101,x102)+E(f11(x103,x101,x104),f11(x103,x102,x104))
% 2.71/2.73 [11]~E(x111,x112)+E(f11(x113,x114,x111),f11(x113,x114,x112))
% 2.71/2.73 [12]~E(x121,x122)+E(f7(x121,x123,x124),f7(x122,x123,x124))
% 2.71/2.73 [13]~E(x131,x132)+E(f7(x133,x131,x134),f7(x133,x132,x134))
% 2.71/2.73 [14]~E(x141,x142)+E(f7(x143,x144,x141),f7(x143,x144,x142))
% 2.71/2.73 [15]~E(x151,x152)+E(f13(x151,x153,x154),f13(x152,x153,x154))
% 2.71/2.73 [16]~E(x161,x162)+E(f13(x163,x161,x164),f13(x163,x162,x164))
% 2.71/2.73 [17]~E(x171,x172)+E(f13(x173,x174,x171),f13(x173,x174,x172))
% 2.71/2.73 [18]~E(x181,x182)+E(f8(x181,x183),f8(x182,x183))
% 2.71/2.73 [19]~E(x191,x192)+E(f8(x193,x191),f8(x193,x192))
% 2.71/2.73 [20]~E(x201,x202)+E(f24(x201,x203,x204),f24(x202,x203,x204))
% 2.71/2.73 [21]~E(x211,x212)+E(f24(x213,x211,x214),f24(x213,x212,x214))
% 2.71/2.73 [22]~E(x221,x222)+E(f24(x223,x224,x221),f24(x223,x224,x222))
% 2.71/2.73 [23]~E(x231,x232)+E(f17(x231,x233),f17(x232,x233))
% 2.71/2.73 [24]~E(x241,x242)+E(f17(x243,x241),f17(x243,x242))
% 2.71/2.73 [25]~E(x251,x252)+E(f9(x251,x253),f9(x252,x253))
% 2.71/2.73 [26]~E(x261,x262)+E(f9(x263,x261),f9(x263,x262))
% 2.71/2.73 [27]~E(x271,x272)+E(f21(x271,x273,x274),f21(x272,x273,x274))
% 2.71/2.73 [28]~E(x281,x282)+E(f21(x283,x281,x284),f21(x283,x282,x284))
% 2.71/2.73 [29]~E(x291,x292)+E(f21(x293,x294,x291),f21(x293,x294,x292))
% 2.71/2.73 [30]~E(x301,x302)+E(f31(x301,x303),f31(x302,x303))
% 2.71/2.73 [31]~E(x311,x312)+E(f31(x313,x311),f31(x313,x312))
% 2.71/2.73 [32]~E(x321,x322)+E(f22(x321,x323),f22(x322,x323))
% 2.71/2.73 [33]~E(x331,x332)+E(f22(x333,x331),f22(x333,x332))
% 2.71/2.73 [34]~E(x341,x342)+E(f10(x341,x343),f10(x342,x343))
% 2.71/2.73 [35]~E(x351,x352)+E(f10(x353,x351),f10(x353,x352))
% 2.71/2.73 [36]~E(x361,x362)+E(f18(x361,x363),f18(x362,x363))
% 2.71/2.73 [37]~E(x371,x372)+E(f18(x373,x371),f18(x373,x372))
% 2.71/2.73 [38]~E(x381,x382)+E(f20(x381,x383,x384),f20(x382,x383,x384))
% 2.71/2.73 [39]~E(x391,x392)+E(f20(x393,x391,x394),f20(x393,x392,x394))
% 2.71/2.73 [40]~E(x401,x402)+E(f20(x403,x404,x401),f20(x403,x404,x402))
% 2.71/2.73 [41]~E(x411,x412)+E(f23(x411,x413),f23(x412,x413))
% 2.71/2.73 [42]~E(x421,x422)+E(f23(x423,x421),f23(x423,x422))
% 2.71/2.73 [43]~E(x431,x432)+E(f30(x431,x433),f30(x432,x433))
% 2.71/2.73 [44]~E(x441,x442)+E(f30(x443,x441),f30(x443,x442))
% 2.71/2.73 [45]~E(x451,x452)+E(f32(x451,x453,x454),f32(x452,x453,x454))
% 2.71/2.73 [46]~E(x461,x462)+E(f32(x463,x461,x464),f32(x463,x462,x464))
% 2.71/2.73 [47]~E(x471,x472)+E(f32(x473,x474,x471),f32(x473,x474,x472))
% 2.71/2.73 [48]~E(x481,x482)+E(f15(x481,x483),f15(x482,x483))
% 2.71/2.73 [49]~E(x491,x492)+E(f15(x493,x491),f15(x493,x492))
% 2.71/2.73 [50]~E(x501,x502)+E(f19(x501,x503),f19(x502,x503))
% 2.71/2.73 [51]~E(x511,x512)+E(f19(x513,x511),f19(x513,x512))
% 2.71/2.73 [52]~E(x521,x522)+E(f27(x521,x523),f27(x522,x523))
% 2.71/2.73 [53]~E(x531,x532)+E(f27(x533,x531),f27(x533,x532))
% 2.71/2.73 [54]~E(x541,x542)+E(f26(x541,x543),f26(x542,x543))
% 2.71/2.73 [55]~E(x551,x552)+E(f26(x553,x551),f26(x553,x552))
% 2.71/2.73 [56]~E(x561,x562)+E(f29(x561,x563),f29(x562,x563))
% 2.71/2.73 [57]~E(x571,x572)+E(f29(x573,x571),f29(x573,x572))
% 2.71/2.73 [58]~E(x581,x582)+E(f28(x581,x583),f28(x582,x583))
% 2.71/2.73 [59]~E(x591,x592)+E(f28(x593,x591),f28(x593,x592))
% 2.71/2.73 [60]~E(x601,x602)+E(f34(x601),f34(x602))
% 2.71/2.73 [61]~E(x611,x612)+E(f25(x611,x613),f25(x612,x613))
% 2.71/2.73 [62]~E(x621,x622)+E(f25(x623,x621),f25(x623,x622))
% 2.71/2.73 [63]~P1(x631)+P1(x632)+~E(x631,x632)
% 2.71/2.73 [64]~P2(x641)+P2(x642)+~E(x641,x642)
% 2.71/2.73 [65]~P3(x651)+P3(x652)+~E(x651,x652)
% 2.71/2.73 [66]~P45(x661)+P45(x662)+~E(x661,x662)
% 2.71/2.73 [67]~P4(x671)+P4(x672)+~E(x671,x672)
% 2.71/2.73 [68]P8(x682,x683,x684)+~E(x681,x682)+~P8(x681,x683,x684)
% 2.71/2.73 [69]P8(x693,x692,x694)+~E(x691,x692)+~P8(x693,x691,x694)
% 2.71/2.73 [70]P8(x703,x704,x702)+~E(x701,x702)+~P8(x703,x704,x701)
% 2.71/2.73 [71]~P5(x711)+P5(x712)+~E(x711,x712)
% 2.71/2.73 [72]~P34(x721)+P34(x722)+~E(x721,x722)
% 2.71/2.73 [73]~P6(x731)+P6(x732)+~E(x731,x732)
% 2.71/2.73 [74]~P50(x741)+P50(x742)+~E(x741,x742)
% 2.71/2.73 [75]~P42(x751)+P42(x752)+~E(x751,x752)
% 2.71/2.73 [76]~P11(x761)+P11(x762)+~E(x761,x762)
% 2.71/2.73 [77]~P22(x771)+P22(x772)+~E(x771,x772)
% 2.71/2.73 [78]~P54(x781)+P54(x782)+~E(x781,x782)
% 2.71/2.73 [79]~P40(x791)+P40(x792)+~E(x791,x792)
% 2.71/2.73 [80]~P21(x801)+P21(x802)+~E(x801,x802)
% 2.71/2.73 [81]~P12(x811)+P12(x812)+~E(x811,x812)
% 2.71/2.73 [82]~P31(x821)+P31(x822)+~E(x821,x822)
% 2.71/2.73 [83]~P20(x831)+P20(x832)+~E(x831,x832)
% 2.71/2.73 [84]~P37(x841)+P37(x842)+~E(x841,x842)
% 2.71/2.73 [85]~P43(x851)+P43(x852)+~E(x851,x852)
% 2.71/2.73 [86]~P49(x861)+P49(x862)+~E(x861,x862)
% 2.71/2.73 [87]~P51(x871)+P51(x872)+~E(x871,x872)
% 2.71/2.73 [88]~P36(x881)+P36(x882)+~E(x881,x882)
% 2.71/2.73 [89]~P44(x891)+P44(x892)+~E(x891,x892)
% 2.71/2.73 [90]~P56(x901)+P56(x902)+~E(x901,x902)
% 2.71/2.73 [91]~P55(x911)+P55(x912)+~E(x911,x912)
% 2.71/2.73 [92]~P7(x921)+P7(x922)+~E(x921,x922)
% 2.71/2.73 [93]~P30(x931)+P30(x932)+~E(x931,x932)
% 2.71/2.73 [94]~P53(x941)+P53(x942)+~E(x941,x942)
% 2.71/2.73 [95]~P27(x951)+P27(x952)+~E(x951,x952)
% 2.71/2.73 [96]~P35(x961)+P35(x962)+~E(x961,x962)
% 2.71/2.73 [97]~P26(x971)+P26(x972)+~E(x971,x972)
% 2.71/2.73 [98]~P52(x981)+P52(x982)+~E(x981,x982)
% 2.71/2.73 [99]~P23(x991)+P23(x992)+~E(x991,x992)
% 2.71/2.73 [100]~P60(x1001)+P60(x1002)+~E(x1001,x1002)
% 2.71/2.73 [101]~P19(x1011)+P19(x1012)+~E(x1011,x1012)
% 2.71/2.73 [102]~P41(x1021)+P41(x1022)+~E(x1021,x1022)
% 2.71/2.73 [103]~P24(x1031)+P24(x1032)+~E(x1031,x1032)
% 2.71/2.73 [104]~P58(x1041)+P58(x1042)+~E(x1041,x1042)
% 2.71/2.73 [105]~P14(x1051)+P14(x1052)+~E(x1051,x1052)
% 2.71/2.73 [106]~P28(x1061)+P28(x1062)+~E(x1061,x1062)
% 2.71/2.73 [107]~P57(x1071)+P57(x1072)+~E(x1071,x1072)
% 2.71/2.73 [108]~P13(x1081)+P13(x1082)+~E(x1081,x1082)
% 2.71/2.73 [109]~P59(x1091)+P59(x1092)+~E(x1091,x1092)
% 2.71/2.73 [110]~P33(x1101)+P33(x1102)+~E(x1101,x1102)
% 2.71/2.73 [111]~P10(x1111)+P10(x1112)+~E(x1111,x1112)
% 2.71/2.73 [112]~P32(x1121)+P32(x1122)+~E(x1121,x1122)
% 2.71/2.73 [113]~P29(x1131)+P29(x1132)+~E(x1131,x1132)
% 2.71/2.73 [114]~P39(x1141)+P39(x1142)+~E(x1141,x1142)
% 2.71/2.73 [115]~P61(x1151)+P61(x1152)+~E(x1151,x1152)
% 2.71/2.73 [116]~P48(x1161)+P48(x1162)+~E(x1161,x1162)
% 2.71/2.73 [117]~P15(x1171)+P15(x1172)+~E(x1171,x1172)
% 2.71/2.73 [118]~P18(x1181)+P18(x1182)+~E(x1181,x1182)
% 2.71/2.73 [119]~P47(x1191)+P47(x1192)+~E(x1191,x1192)
% 2.71/2.73 [120]~P38(x1201)+P38(x1202)+~E(x1201,x1202)
% 2.71/2.73 [121]~P46(x1211)+P46(x1212)+~E(x1211,x1212)
% 2.71/2.73 [122]~P25(x1221)+P25(x1222)+~E(x1221,x1222)
% 2.71/2.73 [123]~P17(x1231)+P17(x1232)+~E(x1231,x1232)
% 2.71/2.73 [124]~P9(x1241)+P9(x1242)+~E(x1241,x1242)
% 2.71/2.73 [125]~P16(x1251)+P16(x1252)+~E(x1251,x1252)
% 2.71/2.73
% 2.71/2.73 %-------------------------------------------
% 2.71/2.74 cnf(722,plain,
% 2.71/2.74 (P8(a37,f3(a1),a1)),
% 2.71/2.74 inference(scs_inference,[],[260,247,2,375])).
% 2.71/2.74 cnf(726,plain,
% 2.71/2.74 (~P8(f3(a1),f14(a37),a1)),
% 2.71/2.74 inference(scs_inference,[],[260,247,261,2,375,415,416])).
% 2.71/2.74 cnf(729,plain,
% 2.71/2.74 (P8(x7291,x7291,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(730,plain,
% 2.71/2.74 (~E(a37,f3(a1))),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,247,261,2,375,415,416,69,68])).
% 2.71/2.74 cnf(731,plain,
% 2.71/2.74 (P8(x7311,x7311,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(734,plain,
% 2.71/2.74 (P8(x7341,x7341,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(760,plain,
% 2.71/2.74 (~E(f9(a37,a1),f3(a1))),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,142,144,145,158,159,179,206,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279])).
% 2.71/2.74 cnf(770,plain,
% 2.71/2.74 (~E(f13(a37,a37,a1),f3(a1))),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,142,144,145,146,158,159,179,206,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373])).
% 2.71/2.74 cnf(777,plain,
% 2.71/2.74 (P8(x7771,x7771,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(780,plain,
% 2.71/2.74 (P8(x7801,x7801,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(792,plain,
% 2.71/2.74 (~P8(f3(a1),f10(a37,a1),a1)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,127,128,130,142,144,145,146,158,159,170,172,179,190,206,243,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487])).
% 2.71/2.74 cnf(821,plain,
% 2.71/2.74 (P8(x8211,x8211,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(823,plain,
% 2.71/2.74 (P8(x8231,x8231,a35)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,126,127,128,130,142,144,145,146,148,150,158,159,161,164,167,170,172,179,190,195,206,219,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302])).
% 2.71/2.74 cnf(834,plain,
% 2.71/2.74 (P8(x8341,x8341,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(851,plain,
% 2.71/2.74 (P8(x8511,x8511,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(854,plain,
% 2.71/2.74 (P8(x8541,x8541,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(911,plain,
% 2.71/2.74 (E(f12(x9111,f14(f3(a1)),x9112),f12(x9111,f3(a1),x9112))),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,126,127,128,130,132,140,142,144,145,146,148,150,156,158,159,161,164,167,170,172,179,190,195,206,211,219,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 2.71/2.74 cnf(923,plain,
% 2.71/2.74 (P8(f3(a1),f11(x9231,x9231,a1),a1)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,126,127,128,130,132,140,142,144,145,146,148,150,156,158,159,161,164,167,170,172,179,190,195,206,211,219,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429])).
% 2.71/2.74 cnf(925,plain,
% 2.71/2.74 (E(f12(f13(x9251,x9252,a1),x9252,a1),x9251)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,126,127,128,130,132,140,142,144,145,146,148,150,156,158,159,161,164,167,170,172,179,190,195,206,211,219,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423])).
% 2.71/2.74 cnf(1015,plain,
% 2.71/2.74 (E(f13(f9(x10151,a2),x10151,a2),f3(a2))),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,126,127,128,130,131,132,134,135,136,140,142,143,144,145,146,148,150,153,154,155,156,158,159,161,164,167,170,172,179,184,185,190,195,202,206,211,215,219,235,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352])).
% 2.71/2.74 cnf(1220,plain,
% 2.71/2.74 (~P8(f3(a1),a37,f12(f13(a1,x12201,a1),x12201,a1))),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,126,127,128,130,131,132,134,135,136,137,140,142,143,144,145,146,148,150,152,153,154,155,156,157,158,159,161,164,167,170,172,174,176,179,182,184,185,187,188,189,190,191,195,196,199,202,206,211,215,219,222,230,233,235,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70])).
% 2.71/2.74 cnf(1229,plain,
% 2.71/2.74 (~P8(f3(a1),f7(a37,f14(f22(x12291,a1)),a1),a1)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,126,127,128,130,131,132,134,135,136,137,140,142,143,144,145,146,148,150,152,153,154,155,156,157,158,159,161,164,167,170,172,174,176,179,182,184,185,187,188,189,190,191,195,196,199,202,206,211,215,219,222,230,233,235,241,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590])).
% 2.71/2.74 cnf(1234,plain,
% 2.71/2.74 (P8(x12341,x12341,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1237,plain,
% 2.71/2.74 (P8(x12371,x12371,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1240,plain,
% 2.71/2.74 (P8(x12401,x12401,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1248,plain,
% 2.71/2.74 (~E(f12(f3(a1),a16,a1),f12(x12481,x12481,a1))),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,126,127,128,130,131,132,134,135,136,137,140,142,143,144,145,146,148,150,152,153,154,155,156,157,158,159,161,164,167,170,172,174,176,179,182,184,185,187,188,189,190,191,195,196,199,202,206,211,215,219,222,230,233,235,241,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437])).
% 2.71/2.74 cnf(1258,plain,
% 2.71/2.74 (~E(f12(f3(a1),a16,a1),f3(a1))),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,126,127,128,130,131,132,134,135,136,137,140,142,143,144,145,146,148,150,152,153,154,155,156,157,158,159,161,164,167,170,172,174,176,179,182,184,185,187,188,189,190,191,195,196,199,202,206,211,215,219,222,225,227,230,233,235,241,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370])).
% 2.71/2.74 cnf(1260,plain,
% 2.71/2.74 (~E(f12(f3(a1),a16,a2),f3(a2))),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,126,127,128,130,131,132,134,135,136,137,140,142,143,144,145,146,148,150,152,153,154,155,156,157,158,159,161,164,167,170,172,174,176,179,182,184,185,187,188,189,190,191,195,196,199,202,206,211,215,219,222,225,227,230,233,235,241,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370,369])).
% 2.71/2.74 cnf(1270,plain,
% 2.71/2.74 (~E(f22(x12701,a1),f3(a1))),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,126,127,128,130,131,132,134,135,136,137,138,140,142,143,144,145,146,148,150,152,153,154,155,156,157,158,159,161,164,167,170,172,174,176,179,182,184,185,187,188,189,190,191,195,196,199,202,206,211,215,219,222,225,227,230,233,235,241,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370,369,295,294,293,291,283])).
% 2.71/2.74 cnf(1273,plain,
% 2.71/2.74 (P8(x12731,x12731,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1277,plain,
% 2.71/2.74 (P8(f3(a1),f9(f3(a1),a1),a1)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,1240,1273,126,127,128,130,131,132,134,135,136,137,138,140,142,143,144,145,146,148,150,152,153,154,155,156,157,158,159,161,164,167,170,172,174,176,179,182,184,185,187,188,189,190,191,195,196,199,202,206,211,215,219,222,225,227,230,233,235,241,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370,369,295,294,293,291,283,452,451,450])).
% 2.71/2.74 cnf(1278,plain,
% 2.71/2.74 (P8(x12781,x12781,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1292,plain,
% 2.71/2.74 (~P8(f13(f3(a1),x12921,a1),f13(a37,x12921,a1),a1)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,1240,1273,126,127,128,130,131,132,134,135,136,137,138,140,142,143,144,145,146,148,150,152,153,154,155,156,157,158,159,161,164,167,170,172,174,176,179,182,184,185,187,188,189,190,191,195,196,199,202,206,209,211,215,219,222,225,227,230,233,235,241,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370,369,295,294,293,291,283,452,451,450,449,399,393,392,355,275,671])).
% 2.71/2.74 cnf(1294,plain,
% 2.71/2.74 (~P8(f13(x12941,f3(a1),a1),f13(x12941,a37,a1),a1)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,1240,1273,126,127,128,130,131,132,134,135,136,137,138,140,142,143,144,145,146,148,150,152,153,154,155,156,157,158,159,161,164,167,170,172,174,176,179,182,184,185,187,188,189,190,191,195,196,199,202,206,209,211,215,219,222,225,227,230,233,235,241,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370,369,295,294,293,291,283,452,451,450,449,399,393,392,355,275,671,670])).
% 2.71/2.74 cnf(1296,plain,
% 2.71/2.74 (~P8(f9(a37,a1),f9(f3(a1),a1),a1)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,1240,1273,126,127,128,130,131,132,134,135,136,137,138,140,142,143,144,145,146,148,150,152,153,154,155,156,157,158,159,161,164,167,170,172,174,176,179,182,184,185,187,188,189,190,191,195,196,199,202,206,209,211,215,219,222,225,227,230,233,235,241,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370,369,295,294,293,291,283,452,451,450,449,399,393,392,355,275,671,670,501])).
% 2.71/2.74 cnf(1299,plain,
% 2.71/2.74 (P8(x12991,x12991,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1302,plain,
% 2.71/2.74 (P8(x13021,x13021,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1313,plain,
% 2.71/2.74 (P8(x13131,x13131,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1319,plain,
% 2.71/2.74 (P8(f3(a1),f9(a37,a1),a1)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,1240,1273,1278,1299,1302,126,127,128,130,131,132,134,135,136,137,138,140,142,143,144,145,146,148,150,152,153,154,155,156,157,158,159,161,164,167,170,172,174,176,179,182,184,185,187,188,189,190,191,195,196,199,202,206,209,211,215,219,222,225,227,230,233,235,241,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370,369,295,294,293,291,283,452,451,450,449,399,393,392,355,275,671,670,501,494,491,457,350,339,509,527,526,459,458])).
% 2.71/2.74 cnf(1330,plain,
% 2.71/2.74 (P8(x13301,x13301,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1333,plain,
% 2.71/2.74 (P8(x13331,x13331,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1347,plain,
% 2.71/2.74 (E(f7(f11(x13471,a37,a1),a37,a1),x13471)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,1240,1273,1278,1299,1302,1313,1330,126,127,128,130,131,132,134,135,136,137,138,140,142,143,144,145,146,147,148,150,152,153,154,155,156,157,158,159,161,164,167,170,172,174,176,179,182,184,185,187,188,189,190,191,195,196,199,202,206,209,211,215,219,222,225,227,230,233,235,241,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370,369,295,294,293,291,283,452,451,450,449,399,393,392,355,275,671,670,501,494,491,457,350,339,509,527,526,459,458,394,366,290,573,529,528,514,511,496,495,461,432,431])).
% 2.71/2.74 cnf(1350,plain,
% 2.71/2.74 (P8(x13501,x13501,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1359,plain,
% 2.71/2.74 (P8(x13591,x13591,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1366,plain,
% 2.71/2.74 (P8(x13661,x13661,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1380,plain,
% 2.71/2.74 (~P8(f13(f11(x13801,x13801,a1),f11(a37,a37,a1),a1),f3(a1),a1)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,1240,1273,1278,1299,1302,1313,1330,1333,1350,1359,126,127,128,130,131,132,134,135,136,137,138,140,142,143,144,145,146,147,148,150,152,153,154,155,156,157,158,159,161,164,167,170,172,174,176,179,182,184,185,187,188,189,190,191,194,195,196,199,202,206,209,211,215,219,222,225,227,230,233,235,241,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370,369,295,294,293,291,283,452,451,450,449,399,393,392,355,275,671,670,501,494,491,457,350,339,509,527,526,459,458,394,366,290,573,529,528,514,511,496,495,461,432,431,398,364,363,362,538,530,383,669,659,519,518,516,515,706,705])).
% 2.71/2.74 cnf(1408,plain,
% 2.71/2.74 (P8(x14081,f13(f11(f12(x14082,x14083,a1),x14084,a1),f13(f11(f12(x14083,x14082,a1),x14084,a1),x14081,a1),a1),a1)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,1240,1273,1278,1299,1302,1313,1330,1333,1350,1359,1366,126,127,128,130,131,132,134,135,136,137,138,140,141,142,143,144,145,146,147,148,150,152,153,154,155,156,157,158,159,161,164,167,170,171,172,173,174,176,179,182,184,185,187,188,189,190,191,194,195,196,199,202,206,209,211,215,219,222,225,227,230,233,235,241,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370,369,295,294,293,291,283,452,451,450,449,399,393,392,355,275,671,670,501,494,491,457,350,339,509,527,526,459,458,394,366,290,573,529,528,514,511,496,495,461,432,431,398,364,363,362,538,530,383,669,659,519,518,516,515,706,705,685,684,657,656,539,510,489,488,428,357,626,658,713,712])).
% 2.71/2.74 cnf(1414,plain,
% 2.71/2.74 (~E(f13(x14141,f3(a1),a2),f13(x14141,a16,a2))),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,1240,1273,1278,1299,1302,1313,1330,1333,1350,1359,1366,126,127,128,130,131,132,134,135,136,137,138,140,141,142,143,144,145,146,147,148,150,152,153,154,155,156,157,158,159,161,164,167,170,171,172,173,174,176,179,182,184,185,187,188,189,190,191,194,195,196,199,202,206,209,211,215,219,222,225,227,230,233,235,241,243,246,249,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370,369,295,294,293,291,283,452,451,450,449,399,393,392,355,275,671,670,501,494,491,457,350,339,509,527,526,459,458,394,366,290,573,529,528,514,511,496,495,461,432,431,398,364,363,362,538,530,383,669,659,519,518,516,515,706,705,685,684,657,656,539,510,489,488,428,357,626,658,713,712,704,703,455])).
% 2.71/2.74 cnf(1440,plain,
% 2.71/2.74 (P8(f14(a37),f3(a1),a1)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,1240,1273,1278,1299,1302,1313,1330,1333,1350,1359,1366,126,127,128,130,131,132,134,135,136,137,138,140,141,142,143,144,145,146,147,148,150,152,153,154,155,156,157,158,159,161,164,167,170,171,172,173,174,176,179,182,184,185,187,188,189,190,191,194,195,196,199,202,206,209,211,215,219,222,225,227,230,233,235,237,239,241,243,246,249,250,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370,369,295,294,293,291,283,452,451,450,449,399,393,392,355,275,671,670,501,494,491,457,350,339,509,527,526,459,458,394,366,290,573,529,528,514,511,496,495,461,432,431,398,364,363,362,538,530,383,669,659,519,518,516,515,706,705,685,684,657,656,539,510,489,488,428,357,626,658,713,712,704,703,455,296,674,542,541,470,469,444,666,665,664,662,661,614])).
% 2.71/2.74 cnf(1442,plain,
% 2.71/2.74 (P8(f11(f3(a1),f3(a1),a1),f3(a1),a1)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,1240,1273,1278,1299,1302,1313,1330,1333,1350,1359,1366,126,127,128,130,131,132,134,135,136,137,138,140,141,142,143,144,145,146,147,148,150,152,153,154,155,156,157,158,159,161,164,167,170,171,172,173,174,176,179,182,184,185,187,188,189,190,191,194,195,196,199,202,206,209,211,215,217,219,222,225,227,230,233,235,237,239,241,243,246,249,250,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370,369,295,294,293,291,283,452,451,450,449,399,393,392,355,275,671,670,501,494,491,457,350,339,509,527,526,459,458,394,366,290,573,529,528,514,511,496,495,461,432,431,398,364,363,362,538,530,383,669,659,519,518,516,515,706,705,685,684,657,656,539,510,489,488,428,357,626,658,713,712,704,703,455,296,674,542,541,470,469,444,666,665,664,662,661,614,605])).
% 2.71/2.74 cnf(1452,plain,
% 2.71/2.74 (P8(f3(a35),f11(f3(a35),f3(a35),a35),a35)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,1240,1273,1278,1299,1302,1313,1330,1333,1350,1359,1366,126,127,128,130,131,132,134,135,136,137,138,140,141,142,143,144,145,146,147,148,150,152,153,154,155,156,157,158,159,161,164,167,170,171,172,173,174,176,179,182,184,185,187,188,189,190,191,194,195,196,199,202,206,209,211,213,215,217,218,219,222,225,227,230,233,235,237,239,241,243,246,249,250,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370,369,295,294,293,291,283,452,451,450,449,399,393,392,355,275,671,670,501,494,491,457,350,339,509,527,526,459,458,394,366,290,573,529,528,514,511,496,495,461,432,431,398,364,363,362,538,530,383,669,659,519,518,516,515,706,705,685,684,657,656,539,510,489,488,428,357,626,658,713,712,704,703,455,296,674,542,541,470,469,444,666,665,664,662,661,614,605,602,600,599,598,597])).
% 2.71/2.74 cnf(1503,plain,
% 2.71/2.74 (P8(x15031,x15031,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1506,plain,
% 2.71/2.74 (P8(x15061,x15061,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1512,plain,
% 2.71/2.74 (P8(f3(a1),f7(f9(f9(f11(f3(a1),x15121,a1),a1),a1),x15121,a1),a1)),
% 2.71/2.74 inference(scs_inference,[],[260,248,729,731,734,777,780,821,834,851,854,1234,1237,1240,1273,1278,1299,1302,1313,1330,1333,1350,1359,1366,1503,1506,126,127,128,130,131,132,134,135,136,137,138,140,141,142,143,144,145,146,147,148,150,152,153,154,155,156,157,158,159,161,164,167,170,171,172,173,174,176,179,182,184,185,187,188,189,190,191,194,195,196,199,202,206,209,211,213,215,217,218,219,222,225,227,230,233,235,237,239,241,243,246,249,250,251,259,247,261,2,375,415,416,69,68,3,456,276,465,464,463,462,273,492,473,472,408,372,280,279,278,277,572,571,373,582,384,715,714,440,453,377,376,454,487,486,617,612,611,610,574,381,379,625,620,619,618,396,692,302,427,304,426,425,411,349,348,347,346,345,344,343,414,413,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,540,520,485,447,429,423,422,417,410,395,390,389,387,386,382,368,361,360,358,318,317,316,315,314,312,311,310,309,308,306,287,282,281,265,264,263,500,498,467,466,446,445,407,406,405,404,403,400,374,354,352,351,340,333,331,329,327,326,325,323,322,320,319,300,299,298,297,271,270,269,268,267,691,673,672,633,632,570,569,568,567,566,565,563,562,561,560,559,554,553,552,550,548,547,546,545,523,522,502,484,482,481,479,478,477,476,475,474,421,420,419,418,397,678,677,676,675,655,654,652,651,648,647,646,645,644,643,642,640,638,637,636,635,634,535,506,505,504,503,697,682,681,680,711,702,579,696,544,718,719,717,720,124,70,497,424,391,365,590,589,578,577,576,575,525,367,437,436,435,434,433,370,369,295,294,293,291,283,452,451,450,449,399,393,392,355,275,671,670,501,494,491,457,350,339,509,527,526,459,458,394,366,290,573,529,528,514,511,496,495,461,432,431,398,364,363,362,538,530,383,669,659,519,518,516,515,706,705,685,684,657,656,539,510,489,488,428,357,626,658,713,712,704,703,455,296,674,542,541,470,469,444,666,665,664,662,661,614,605,602,600,599,598,597,594,581,580,687,686,708,707,690,689,688,709,716,584,583,701,679,668,667,622,621,609,608,607,606,532,531,533,699,698])).
% 2.71/2.74 cnf(1552,plain,
% 2.71/2.74 (P8(x15521,x15521,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1562,plain,
% 2.71/2.74 (P8(f3(a1),f7(f9(f9(f11(f3(a1),x15621,a1),a1),a1),x15621,a1),a1)),
% 2.71/2.74 inference(rename_variables,[],[1512])).
% 2.71/2.74 cnf(1620,plain,
% 2.71/2.74 (P8(f3(a1),f11(x16201,x16201,a1),a1)),
% 2.71/2.74 inference(rename_variables,[],[923])).
% 2.71/2.74 cnf(1623,plain,
% 2.71/2.74 (~P8(f22(x16231,a1),f3(a1),a1)),
% 2.71/2.74 inference(rename_variables,[],[261])).
% 2.71/2.74 cnf(1636,plain,
% 2.71/2.74 (P8(x16361,x16361,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1643,plain,
% 2.71/2.74 (P8(x16431,x16431,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1669,plain,
% 2.71/2.74 (P8(x16691,x16691,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1672,plain,
% 2.71/2.74 (P8(x16721,x16721,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1687,plain,
% 2.71/2.74 (P8(x16871,x16871,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1690,plain,
% 2.71/2.74 (P8(x16901,x16901,a1)),
% 2.71/2.74 inference(rename_variables,[],[248])).
% 2.71/2.74 cnf(1706,plain,
% 2.71/2.74 ($false),
% 2.71/2.74 inference(scs_inference,[],[260,129,133,139,175,192,212,220,228,238,254,210,252,253,255,256,248,1552,1636,1643,1669,1672,1687,1690,141,194,143,185,189,217,215,171,173,147,207,135,213,184,190,209,137,146,126,206,261,1623,195,158,136,144,127,259,128,722,1452,1440,1442,726,1258,1277,911,792,925,1260,770,1347,760,1248,1414,823,1296,1015,1270,1408,1319,1292,1294,923,1620,1380,1512,1562,1220,1229,730,378,537,534,663,693,589,525,437,434,295,294,291,492,457,350,339,509,573,461,364,363,530,659,518,704,296,660,542,541,444,665,662,617,612,574,581,707,690,689,688,667,620,698,671,715,491,584,583,532,531,576,669,578,609,608,575,456,283,275,526,538,602,600,599,370,278,7,70,69,497]),
% 2.71/2.74 ['proof']).
% 2.71/2.74 % SZS output end Proof
% 2.71/2.74 % Total time :1.920000s
%------------------------------------------------------------------------------