TSTP Solution File: SWV634-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV634-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n021.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 : Thu Aug 31 21:34:44 EDT 2023
% Result : Unsatisfiable 0.55s 1.22s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV634-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 07:52:59 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.55/1.15 %-------------------------------------------
% 0.55/1.15 % File :CSE---1.6
% 0.55/1.15 % Problem :theBenchmark
% 0.55/1.15 % Transform :cnf
% 0.55/1.15 % Format :tptp:raw
% 0.55/1.15 % Command :java -jar mcs_scs.jar %d %s
% 0.55/1.15
% 0.55/1.15 % Result :Theorem 0.070000s
% 0.55/1.15 % Output :CNFRefutation 0.070000s
% 0.55/1.15 %-------------------------------------------
% 0.55/1.16 %------------------------------------------------------------------------------
% 0.55/1.16 % File : SWV634-1 : TPTP v8.1.2. Released v4.1.0.
% 0.55/1.16 % Domain : Software Verification
% 0.55/1.16 % Problem : Fast Fourier Transform 244_5
% 0.55/1.16 % Version : Especial.
% 0.55/1.16 % English : Formalization of a functional implementation of the FFT algorithm
% 0.55/1.16 % over the complex numbers, and its inverse. Both are shown
% 0.55/1.16 % equivalent to the usual definitions of these operations through
% 0.55/1.16 % Vandermonde matrices. They are also shown to be inverse to each
% 0.55/1.16 % other, more precisely, that composition of the inverse and the
% 0.55/1.16 % transformation yield the identity up to a scalar.
% 0.55/1.16
% 0.55/1.16 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.55/1.16 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.55/1.16 % Source : [Nip10]
% 0.55/1.16 % Names : FFT-244_5 [Nip10]
% 0.55/1.16
% 0.55/1.16 % Status : Unsatisfiable
% 0.55/1.16 % Rating : 0.19 v8.1.0, 0.21 v7.5.0, 0.11 v7.4.0, 0.18 v7.3.0, 0.08 v7.0.0, 0.27 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.30 v6.1.0, 0.29 v6.0.0, 0.50 v5.5.0, 0.65 v5.4.0, 0.70 v5.3.0, 0.72 v5.2.0, 0.69 v5.1.0, 0.71 v5.0.0, 0.64 v4.1.0
% 0.55/1.16 % Syntax : Number of clauses : 1427 ( 251 unt; 266 nHn; 932 RR)
% 0.55/1.16 % Number of literals : 4306 ( 850 equ;2628 neg)
% 0.55/1.16 % Maximal clause size : 7 ( 3 avg)
% 0.55/1.16 % Maximal term depth : 7 ( 1 avg)
% 0.55/1.16 % Number of predicates : 74 ( 73 usr; 0 prp; 1-3 aty)
% 0.55/1.16 % Number of functors : 27 ( 27 usr; 9 con; 0-3 aty)
% 0.55/1.16 % Number of variables : 3611 ( 218 sgn)
% 0.55/1.16 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.55/1.16
% 0.55/1.16 % Comments :
% 0.55/1.16 %------------------------------------------------------------------------------
% 0.55/1.16 cnf(cls_abs__eq__mult_0,axiom,
% 0.55/1.16 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.55/1.16 | 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)
% 0.55/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_add__le__cancel__right_1,axiom,
% 0.55/1.16 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.55/1.16 | 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)
% 0.55/1.16 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_add__le__cancel__right_0,axiom,
% 0.55/1.16 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.55/1.16 | c_lessequals(V_a,V_b,T_a)
% 0.55/1.16 | ~ 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) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_add__le__cancel__left_1,axiom,
% 0.55/1.16 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.55/1.16 | 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)
% 0.55/1.16 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_add__le__cancel__left_0,axiom,
% 0.55/1.16 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.55/1.16 | c_lessequals(V_a,V_b,T_a)
% 0.55/1.16 | ~ 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) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_add__right__mono_0,axiom,
% 0.55/1.16 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.55/1.16 | 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)
% 0.55/1.16 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_add__left__mono_0,axiom,
% 0.55/1.16 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.55/1.16 | 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)
% 0.55/1.16 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_lessI_0,axiom,
% 0.55/1.16 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_less__Suc__eq_2,axiom,
% 0.55/1.16 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_less__trans__Suc_0,axiom,
% 0.55/1.16 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.55/1.16 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.55/1.16 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_dvd__mult__cancel__right_1,axiom,
% 0.55/1.16 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.16 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_dvd__mult__cancel__left_1,axiom,
% 0.55/1.16 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.16 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_nat__mult__dvd__cancel__disj_1,axiom,
% 0.55/1.16 c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat),tc_nat) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_power__mono__even_0,axiom,
% 0.55/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.16 | c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)
% 0.55/1.16 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,T_a),c_HOL_Oabs__class_Oabs(V_y,T_a),T_a)
% 0.55/1.16 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_dvd__trans_0,axiom,
% 0.55/1.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.16 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.55/1.16 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.55/1.16 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_dvd__refl_0,axiom,
% 0.55/1.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.16 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_dvd_Oeq__iff_0,axiom,
% 0.55/1.16 c_Ring__and__Field_Odvd__class_Odvd(V_x,V_x,tc_nat) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_dvd__pos__nat_0,axiom,
% 0.55/1.16 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.55/1.16 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 0.55/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_dvd_Oless__trans_0,axiom,
% 0.55/1.16 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 0.55/1.16 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 0.55/1.16 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.55/1.16 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.55/1.16 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_dvd_Oorder__trans_0,axiom,
% 0.55/1.16 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 0.55/1.16 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.55/1.16 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.55/1.16
% 0.55/1.16 cnf(cls_abs__of__nonneg_0,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.17 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.55/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.55/1.17 | V_x = V_y ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.55/1.17 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.17 | V_x = V_y
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.55/1.17 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.17 | V_x = V_y
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_linorder__less__linear_0,axiom,
% 0.55/1.17 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.55/1.17 | V_x = V_y
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_order__antisym__conv_0,axiom,
% 0.55/1.17 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.17 | V_x = V_y
% 0.55/1.17 | ~ c_lessequals(V_x,V_y,T_a)
% 0.55/1.17 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_dvd_Oeq__iff_2,axiom,
% 0.55/1.17 ( V_x = V_y
% 0.55/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.55/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_dvd_Oantisym_0,axiom,
% 0.55/1.17 ( V_x = V_y
% 0.55/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.55/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_dvd_Oless__le_0,axiom,
% 0.55/1.17 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.55/1.17 | V_x = V_y
% 0.55/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_dvd__antisym_0,axiom,
% 0.55/1.17 ( V_m = V_n
% 0.55/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_n,V_m,tc_nat)
% 0.55/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_nat__neq__iff_0,axiom,
% 0.55/1.17 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.17 | V_m = V_n ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_dvd_Oantisym__conv_0,axiom,
% 0.55/1.17 ( V_x = V_y
% 0.55/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat)
% 0.55/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_dvd_Ole__neq__trans_0,axiom,
% 0.55/1.17 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_a,tc_nat)
% 0.55/1.17 | V_a = V_b
% 0.55/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_dvd_Oneq__le__trans_0,axiom,
% 0.55/1.17 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_a,tc_nat)
% 0.55/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat)
% 0.55/1.17 | V_a = V_b ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.55/1.17 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.55/1.17 | V_x = V_y ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_order__eq__iff_2,axiom,
% 0.55/1.17 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.17 | V_x = V_y
% 0.55/1.17 | ~ c_lessequals(V_y,V_x,T_a)
% 0.55/1.17 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_linorder__neqE_0,axiom,
% 0.55/1.17 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.55/1.17 | V_x = V_y ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_order__antisym_0,axiom,
% 0.55/1.17 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.17 | V_x = V_y
% 0.55/1.17 | ~ c_lessequals(V_y,V_x,T_a)
% 0.55/1.17 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.55/1.17 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.55/1.17 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 0.55/1.17 | V_x = V_y ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.17 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.55/1.17 | V_a = V_b ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_eq__divide__imp_0,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.17 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.17 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_divide__eq__imp_0,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.17 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.17 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_estimate__by__abs_0,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.55/1.17 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)
% 0.55/1.17 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_eq__divide__eq_3,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.17 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)
% 0.55/1.17 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_divide__eq__eq_3,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.17 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a
% 0.55/1.17 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_mod__if_0,axiom,
% 0.55/1.17 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = V_m
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_divide__le__0__1__iff_1,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.17 | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.17 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_divide__le__0__1__iff_0,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.17 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.17 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_divide__eq__eq__number__of_1,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.17 | ~ class_Int_Onumber(T_a)
% 0.55/1.17 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) != c_Int_Onumber__class_Onumber__of(V_w,T_a)
% 0.55/1.17 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_divide__eq__eq__number__of_2,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.17 | ~ class_Int_Onumber(T_a)
% 0.55/1.17 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.17 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_abs__le__zero__iff_0,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.17 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.17 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_inverse__less__1__iff_1,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.55/1.17 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.17 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.17 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.17 | 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) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_add__nonpos__neg_0,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.17 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_add__neg__nonpos_0,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.17 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_neg__less__iff__less_1,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_neg__less__iff__less_0,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_abs__div__pos_0,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.17 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_x,T_a),V_y,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_le__divide__eq_8,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.17 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.17 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.55/1.17 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_divide__le__eq_8,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.17 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.17 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.55/1.17 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_dvd__1__iff__1_1,axiom,
% 0.55/1.17 c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_one__neq__zero_0,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.55/1.17 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_abs__less__iff_1,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_mult__Suc__right_0,axiom,
% 0.55/1.17 c_HOL_Otimes__class_Otimes(V_m,c_Suc(V_n),tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_mult__Suc_0,axiom,
% 0.55/1.17 c_HOL_Otimes__class_Otimes(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_power__less__imp__less__base_0,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_zero__less__mult__pos2_0,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_zero__less__mult__pos_0,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_mult__pos__pos_0,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_mult__neg__neg_0,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_nat__0__less__mult__iff_2,axiom,
% 0.55/1.17 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_even__less__0__iff_0,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_even__less__0__iff_1,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.17 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.17 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_even__nat__equiv__def2_1,axiom,
% 0.55/1.17 c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),V_xa,tc_nat),tc_nat) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_diff__divide__distrib_0,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.17 | 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) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_divide_Odiff_0,axiom,
% 0.55/1.17 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.55/1.17 | 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) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_number__of__is__id_0,axiom,
% 0.55/1.17 c_Int_Onumber__class_Onumber__of(V_k,tc_Int_Oint) = V_k ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.55/1.17 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.55/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.55/1.17 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.55/1.17 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.55/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.55/1.17 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_add__is__0_0,axiom,
% 0.55/1.17 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.17 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_add__is__0_1,axiom,
% 0.55/1.17 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.17 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_double__eq__0__iff_0,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.17 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.17 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_eq__divide__eq__number__of_1,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.17 | ~ class_Int_Onumber(T_a)
% 0.55/1.17 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.17 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_eq__divide__eq__number__of_2,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.17 | ~ class_Int_Onumber(T_a)
% 0.55/1.17 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.17 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_eq__divide__eq__number__of1_2,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.17 | ~ class_Int_Onumber(T_a)
% 0.55/1.17 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.17 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_dvd__diff_0,axiom,
% 0.55/1.17 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.55/1.17 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a)
% 0.55/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a)
% 0.55/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.55/1.17 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_right__minus__eq_1,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.17 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.17
% 0.55/1.17 cnf(cls_diff__0__right_0,axiom,
% 0.55/1.17 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.18 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_diff__self_0,axiom,
% 0.55/1.18 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.18 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_abs__eq__mult_1,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_abs__eq__mult_2,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.18 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_abs__eq__mult_3,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__eq__neg_0,axiom,
% 0.55/1.18 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__eq__neg_1,axiom,
% 0.55/1.18 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.18 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_less__add__one_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_divide__le__eq__number__of_9,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | ~ class_Int_Onumber(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.55/1.18 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_divide__le__eq__number__of_3,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | ~ class_Int_Onumber(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_divide__le__eq__number__of_2,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | ~ class_Int_Onumber(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_one__less__inverse__iff_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_neg__le__0__iff__le_0,axiom,
% 0.55/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_neg__le__0__iff__le_1,axiom,
% 0.55/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_gcd__lcm__complete__lattice__nat_Obot__least_0,axiom,
% 0.55/1.18 c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),V_x,tc_nat) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_one__dvd_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.18 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_power__0_0,axiom,
% 0.55/1.18 ( ~ class_Power_Opower(T_a)
% 0.55/1.18 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_class__semiring_Opwr__0_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.18 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_divide__le__eq__number__of1_2,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | ~ class_Int_Onumber(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_divide__le__eq__number__of1_3,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | ~ class_Int_Onumber(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__divide__eq__number__of1_2,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | ~ class_Int_Onumber(T_a)
% 0.55/1.18 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__divide__eq__number__of1_3,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | ~ class_Int_Onumber(T_a)
% 0.55/1.18 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_power__eq__0__iff_2,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.55/1.18 | ~ class_Power_Opower(T_a)
% 0.55/1.18 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.18 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_power__0__left_1,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.55/1.18 | ~ class_Power_Opower(T_a)
% 0.55/1.18 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.18 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_even__nat__equiv__def_1,axiom,
% 0.55/1.18 ( c_Divides_Odiv__class_Omod(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.18 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_even__nat__equiv__def_0,axiom,
% 0.55/1.18 ( c_Divides_Odiv__class_Omod(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.18 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_abs__less__iff_2,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mod__add__self1_0,axiom,
% 0.55/1.18 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.18 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mod__add__self2_0,axiom,
% 0.55/1.18 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.18 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__le__0__iff_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.18 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__le__0__iff_1,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__le__0__iff_2,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.18 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__le__0__iff_3,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.18 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__neg__pos_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__pos__neg_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__pos__neg2_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_abs__le__D2_0,axiom,
% 0.55/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_add__minus__cancel_0,axiom,
% 0.55/1.18 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.18 | 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 ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_pos__add__strict_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_DERIV__inverse__lemma_0,axiom,
% 0.55/1.18 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_inverse__negative__imp__negative_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_inverse__divide_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | 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) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mod__lemma_0,axiom,
% 0.55/1.18 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,c_Divides_Odiv__class_Omod(V_q,V_c,tc_nat),tc_nat),V_r,tc_nat),c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat),tc_nat)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_r,V_b,tc_nat)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_c,tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__mono1_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__left__mono_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__right__mono_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__left__mono__neg_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__right__mono__neg_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom,
% 0.55/1.18 ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,tc_nat),tc_nat)
% 0.55/1.18 | V_c = V_d
% 0.55/1.18 | V_r = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.18 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | V_c = V_d
% 0.55/1.18 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_n__not__Suc__n_0,axiom,
% 0.55/1.18 V_n != c_Suc(V_n) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_Suc__n__not__n_0,axiom,
% 0.55/1.18 c_Suc(V_n) != V_n ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_inverse__unique_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.18 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 0.55/1.18 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = V_b ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_power__le__zero__eq_4,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.18 | c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.18 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_power__less__zero__eq_2,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_power__0__left__number__of_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.55/1.18 | ~ class_Power_Opower(T_a)
% 0.55/1.18 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.18 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_divide__less__eq_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_divide__less__eq_6,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_less__divide__eq_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_less__divide__eq_6,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__imp__div__pos__less_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__imp__less__div__pos_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_abs__minus__one_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.18 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.18 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_zero__less__divide__iff_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_zero__less__divide__iff_1,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_zero__less__divide__iff_2,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_zero__less__divide__iff_3,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_divide__nonneg__neg_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_divide__nonpos__pos_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.55/1.18 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_neg__one__even__power_0,axiom,
% 0.55/1.18 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.18 | c_Power_Opower__class_Opower(c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),V_x,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.55/1.18 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_dvd__mult__cancel2_0,axiom,
% 0.55/1.18 ( V_n = c_HOL_Oone__class_Oone(tc_nat)
% 0.55/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),V_m,tc_nat)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_dvd__mult__cancel1_0,axiom,
% 0.55/1.18 ( V_n = c_HOL_Oone__class_Oone(tc_nat)
% 0.55/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_m,tc_nat)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_power__le__zero__eq_1,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.18 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.18 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.18 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__strict__mono_H_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_nat__dvd__1__iff__1_0,axiom,
% 0.55/1.18 ( V_m = c_HOL_Oone__class_Oone(tc_nat)
% 0.55/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_power__mono__odd_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.18 | c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(V_x,V_y,T_a)
% 0.55/1.18 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_less__SucI_0,axiom,
% 0.55/1.18 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_Suc__lessD_0,axiom,
% 0.55/1.18 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_inverse__eq__iff__eq_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 0.55/1.18 | V_a = V_b ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.18 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 0.55/1.18 | V_a = V_b
% 0.55/1.18 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_inverse__zero_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_less__divide__eq__number__of_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | ~ class_Int_Onumber(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_less__divide__eq__number__of_6,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | ~ class_Int_Onumber(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__divide__eq__number__of_6,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | ~ class_Int_Onumber(T_a)
% 0.55/1.18 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__divide__eq__number__of_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | ~ class_Int_Onumber(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__divide__eq__number__of_7,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | ~ class_Int_Onumber(T_a)
% 0.55/1.18 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__divide__eq__number__of_5,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | ~ class_Int_Onumber(T_a)
% 0.55/1.18 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_of__nat__add_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.55/1.18 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),T_a) = c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_zero__less__power__eq__number__of_3,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.18 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_less__eqI_1,axiom,
% 0.55/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.18 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_less__eqI_0,axiom,
% 0.55/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.18 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__eqI_1,axiom,
% 0.55/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.18 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.55/1.18 | c_lessequals(V_y,V_x,T_a)
% 0.55/1.18 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__eqI_0,axiom,
% 0.55/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.18 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.55/1.18 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.55/1.18 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_zmod__simps_I2_J_0,axiom,
% 0.55/1.18 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.18 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_zmod__simps_I1_J_0,axiom,
% 0.55/1.18 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.18 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_inf__period_I4_J_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.55/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)
% 0.55/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 0.55/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_inf__period_I4_J_1,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.55/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 0.55/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)
% 0.55/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_add__is__1_2,axiom,
% 0.55/1.18 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.55/1.18 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.18 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_add__is__1_1,axiom,
% 0.55/1.18 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.55/1.18 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.55/1.18 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.18 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.18 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_abs__of__neg_0,axiom,
% 0.55/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.18 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_abs__if_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 0.55/1.18 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_abs__if__lattice_0,axiom,
% 0.55/1.18 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.18 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.55/1.18 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__less__imp__less__right_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__less__imp__less__left_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__right__less__imp__less_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__left__less__imp__less_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.55/1.18 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__imp__le__div__pos_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__imp__div__pos__le_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 0.55/1.18 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__divide__eq_6,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__divide__eq_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_divide__le__eq_6,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_divide__le__eq_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.18 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.18 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 0.55/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.55/1.18 ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat)
% 0.55/1.18 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_add__eq__self__zero_0,axiom,
% 0.55/1.18 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m
% 0.55/1.18 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.55/1.18 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.55/1.18 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.55/1.18 | V_m = V_n ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_int__int__eq_0,axiom,
% 0.55/1.18 ( c_Nat_Osemiring__1__class_Oof__nat(V_m,tc_Int_Oint) != c_Nat_Osemiring__1__class_Oof__nat(V_n,tc_Int_Oint)
% 0.55/1.18 | V_m = V_n ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_Nat__Transfer_Otransfer__int__nat__relations_I1_J_0,axiom,
% 0.55/1.18 ( c_Nat_Osemiring__1__class_Oof__nat(V_x,tc_Int_Oint) != c_Nat_Osemiring__1__class_Oof__nat(V_y,tc_Int_Oint)
% 0.55/1.18 | V_x = V_y ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_dvd__power_1,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.18 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__divide__eq__number__of_8,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | ~ class_Int_Onumber(T_a)
% 0.55/1.18 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_zero__le__power__eq__number__of_2,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.55/1.18 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_zero__le__power__eq__number__of_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.55/1.18 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__eq__1__iff_0,axiom,
% 0.55/1.18 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.55/1.18 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_mult__eq__1__iff_1,axiom,
% 0.55/1.18 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.55/1.18 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_inverse__le__1__iff_1,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_sum__squares__ge__zero_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.18 | 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) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_zero__le__divide__1__iff_1,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_zero__le__divide__1__iff_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_dvd__mod__imp__dvd_0,axiom,
% 0.55/1.18 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.55/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 0.55/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_dvd__mod__iff_1,axiom,
% 0.55/1.18 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.55/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.55/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_dvd__mod__iff_0,axiom,
% 0.55/1.18 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.55/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.55/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_dvd__mod_0,axiom,
% 0.55/1.18 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.55/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 0.55/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__add__iff2_1,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | ~ 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) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__add__iff2_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | ~ 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) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__add__iff1_1,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | ~ 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) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_le__add__iff1_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.55/1.18 | 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)
% 0.55/1.18 | ~ 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) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_divide__le__0__iff_5,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.18 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_divide__le__0__iff_4,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.18 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.55/1.18 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.55/1.18 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_add__lessD1_0,axiom,
% 0.55/1.18 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_trans__less__add1_0,axiom,
% 0.55/1.18 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_trans__less__add2_0,axiom,
% 0.55/1.18 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_add__increasing2_0,axiom,
% 0.55/1.18 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.55/1.18 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.55/1.18 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(V_b,V_a,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_add__increasing_0,axiom,
% 0.55/1.18 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.55/1.18 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.55/1.18 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.55/1.18 | ~ c_lessequals(V_b,V_c,T_a)
% 0.55/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_abs__minus__le__zero_0,axiom,
% 0.55/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.18 | 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) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_less__add__Suc1_0,axiom,
% 0.55/1.18 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_less__add__Suc2_0,axiom,
% 0.55/1.18 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_less__iff__Suc__add_1,axiom,
% 0.55/1.18 c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_power__less__zero__eq_0,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.18 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.18 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_eq__add__iff2_1,axiom,
% 0.55/1.18 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.55/1.18 | 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) ) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.55/1.18 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.55/1.18 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.55/1.18
% 0.55/1.18 cnf(cls_neg__le__iff__le_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.19 | c_lessequals(V_a,V_b,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_le__imp__neg__le_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_abs__le__mult_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_power__0__Suc_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.55/1.19 | ~ class_Power_Opower(T_a)
% 0.55/1.19 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_abs__le__D1_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.19 | c_lessequals(V_a,V_b,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult__strict__mono_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_inverse__eq__divide_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_class__fieldgb_Oinverse__divide_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.19 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__less__eq__number__of_4,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | ~ class_Int_Onumber(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__less__eq__number__of_1,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | ~ class_Int_Onumber(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_less__divide__eq__number__of1_9,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | ~ class_Int_Onumber(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__less__eq__number__of1_9,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | ~ class_Int_Onumber(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__less__eq__number__of_8,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | ~ class_Int_Onumber(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__left__mono__neg_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__left__mono_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.19 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__less__power__eq_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.55/1.19 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.19 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_frac__less2_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.55/1.19 | ~ c_lessequals(V_x,V_y,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_add__is__1_4,axiom,
% 0.55/1.19 c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_power__one__over_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a),V_n,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_Suc__eq__plus1__left_0,axiom,
% 0.55/1.19 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_Suc__eq__plus1_0,axiom,
% 0.55/1.19 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_nonzero__minus__divide__right_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | 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)
% 0.55/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_abs__number__of_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.19 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_x,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_neg__less__0__iff__less_1,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_neg__less__0__iff__less_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mod__0_0,axiom,
% 0.55/1.19 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.19 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_dvd__mult__cancel1_1,axiom,
% 0.55/1.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.55/1.19 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_m,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_dvd__mult__cancel2_1,axiom,
% 0.55/1.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.55/1.19 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),V_m,tc_nat),V_m,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_less__Suc0_0,axiom,
% 0.55/1.19 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_power__le__zero__eq__number__of_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.19 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_abs__triangle__ineq3_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_abs__mult__less_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_less__divide__eq__number__of1_7,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | ~ class_Int_Onumber(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__less__eq__number__of1_7,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | ~ class_Int_Onumber(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_diff__add__cancel_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mod__Suc_1,axiom,
% 0.55/1.19 ( c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))
% 0.55/1.19 | c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) = V_n ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_inverse__inverse__eq_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_less__divide__eq__number__of1_8,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | ~ class_Int_Onumber(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__less__eq__number__of1_8,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | ~ class_Int_Onumber(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_add__is__0_2,axiom,
% 0.55/1.19 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_double__eq__0__iff_1,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mod__add__eq_0,axiom,
% 0.55/1.19 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.19 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__le__eq__number__of_1,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | ~ class_Int_Onumber(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__le__eq__number__of_4,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | ~ class_Int_Onumber(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_order__less__le_2,axiom,
% 0.55/1.19 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.55/1.19 | V_x = V_y
% 0.55/1.19 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_order__le__less_0,axiom,
% 0.55/1.19 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.19 | V_x = V_y
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.55/1.19 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_order__le__neq__trans_0,axiom,
% 0.55/1.19 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.19 | V_a = V_b
% 0.55/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_order__neq__le__trans_0,axiom,
% 0.55/1.19 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.19 | ~ c_lessequals(V_a,V_b,T_a)
% 0.55/1.19 | V_a = V_b ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.55/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.19 | V_x = V_y
% 0.55/1.19 | ~ c_lessequals(V_x,V_y,T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.55/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.19 | V_x = V_y
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.55/1.19 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_xt1_I12_J_0,axiom,
% 0.55/1.19 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.55/1.19 | ~ c_lessequals(V_b,V_a,T_a)
% 0.55/1.19 | V_a = V_b ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_xt1_I11_J_0,axiom,
% 0.55/1.19 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.55/1.19 | V_a = V_b
% 0.55/1.19 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__right__mono_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | 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)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__right__mono__neg_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | 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)
% 0.55/1.19 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_inverse__minus__eq_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_split__mult__pos__le_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_split__mult__pos__le_1,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__le__square_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__le__mult__iff_4,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__le__mult__iff_5,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_right__inverse__eq_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 0.55/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.19 | V_a = V_b ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_class__ring_Oneg__mul_0,axiom,
% 0.55/1.19 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.19 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_power__less__zero__eq__number__of_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_abs__triangle__ineq2_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__less__power__eq_1,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a),T_a)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__le__eq__number__of1_7,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | ~ class_Int_Onumber(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_le__divide__eq__number__of1_7,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | ~ class_Int_Onumber(T_a)
% 0.55/1.19 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_frac__less_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(V_w,V_z,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_add__gr__0_2,axiom,
% 0.55/1.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_add__gr__0_1,axiom,
% 0.55/1.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_abs__minus__commute_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_minus__divide__right_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_minus__divide__left_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__le__eq__number__of_6,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | ~ class_Int_Onumber(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.19 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__le__eq__number__of_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | ~ class_Int_Onumber(T_a)
% 0.55/1.19 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_one__le__inverse__iff_2,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_odd__1__nat_0,axiom,
% 0.55/1.19 ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__le__mult__iff_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__le__mult__iff_1,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__le__mult__iff_2,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__le__mult__iff_3,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_neg__equal__zero_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.55/1.19 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 0.55/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__less__power__eq_3,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_nonzero__inverse__eq__divide_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.55/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_abs__one_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__less__power__eq_5,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.55/1.19 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_diff__frac__eq_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | 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)
% 0.55/1.19 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.19 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__less__two_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_field__inverse_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.55/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_left__inverse_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.55/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_right__inverse_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.19 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.55/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult__mono_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.55/1.19 | 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)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.19 | ~ c_lessequals(V_c,V_d,T_a)
% 0.55/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult__mono_H_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.55/1.19 | 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)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.19 | ~ c_lessequals(V_c,V_d,T_a)
% 0.55/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_root1_0,axiom,
% 0.55/1.19 c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_power__inject__base_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.19 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) != c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a)
% 0.55/1.19 | V_a = V_b
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__less__eq_2,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__less__eq_3,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__less__eq_8,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__less__eq_9,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_less__divide__eq_2,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_less__divide__eq_3,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_less__divide__eq_8,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_less__divide__eq_9,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_even__sum__nat_3,axiom,
% 0.55/1.19 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat)
% 0.55/1.19 | c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.55/1.19 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_even__sum__nat_2,axiom,
% 0.55/1.19 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_even__sum__nat_1,axiom,
% 0.55/1.19 ( ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 0.55/1.19 | c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_even__sum__nat_0,axiom,
% 0.55/1.19 ( ~ c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.55/1.19 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_even__add_3,axiom,
% 0.55/1.19 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_even__add_2,axiom,
% 0.55/1.19 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.55/1.19 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.19 | c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_even__add_1,axiom,
% 0.55/1.19 ( c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_even__add_0,axiom,
% 0.55/1.19 ( c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_odd__add_3,axiom,
% 0.55/1.19 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.55/1.19 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_odd__add_2,axiom,
% 0.55/1.19 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.19 | c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_odd__add_1,axiom,
% 0.55/1.19 ( c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 0.55/1.19 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.19 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_odd__add_0,axiom,
% 0.55/1.19 ( ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 0.55/1.19 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.55/1.19 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_not__less__eq_1,axiom,
% 0.55/1.19 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_not__less__eq_0,axiom,
% 0.55/1.19 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_power__Suc__less_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mod__minus__eq_0,axiom,
% 0.55/1.19 ( ~ class_Divides_Oring__div(T_a)
% 0.55/1.19 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a),V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__neg__neg_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__pos__pos_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__less__divide__iff_4,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__less__divide__iff_5,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_one__less__inverse__iff_1,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_dvd__add_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.19 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.55/1.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.55/1.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_inverse__add_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | 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)
% 0.55/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_division__ring__inverse__add_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.19 | 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)
% 0.55/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_odd__nat__equiv__def_1,axiom,
% 0.55/1.19 ( c_Divides_Odiv__class_Omod(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_odd__nat__equiv__def_0,axiom,
% 0.55/1.19 ( c_Divides_Odiv__class_Omod(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.55/1.19 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_group__add__class_Odiff__0_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_gt__half__sum_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),V_b,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_less__half__sum_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_add__frac__num_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | 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)
% 0.55/1.19 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_add__num__frac_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | 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)
% 0.55/1.19 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_Deriv_Oinverse__diff__inverse_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.19 | 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)
% 0.55/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__less__power__eq_2,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a),T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_xt1_I10_J_0,axiom,
% 0.55/1.19 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_order__less__trans_0,axiom,
% 0.55/1.19 ( ~ class_Orderings_Opreorder(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_power__less__zero__eq__number__of_2,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_abs__eq__0_1,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.19 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_nat__add__assoc_0,axiom,
% 0.55/1.19 c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_nat__add__left__commute_0,axiom,
% 0.55/1.19 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_add__cancel__21_1,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_add__gr__0_0,axiom,
% 0.55/1.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.19 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.55/1.19 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_power__eq__0__iff_1,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.55/1.19 | ~ class_Power_Opower(T_a)
% 0.55/1.19 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_dvd__1__left_0,axiom,
% 0.55/1.19 c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_k,tc_nat) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_abs__triangle__ineq_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_odd__nat__equiv__def2_1,axiom,
% 0.55/1.19 ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),V_xa,tc_nat)),tc_nat) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_less__le__not__le_1,axiom,
% 0.55/1.19 ( ~ class_Orderings_Opreorder(T_a)
% 0.55/1.19 | ~ c_lessequals(V_y,V_x,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_not__leE_0,axiom,
% 0.55/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.55/1.19 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.55/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.19 | ~ c_lessequals(V_x,V_x,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.55/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.55/1.19 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_linorder__not__less_1,axiom,
% 0.55/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.55/1.19 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_linorder__not__less_0,axiom,
% 0.55/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.19 | c_lessequals(V_y,V_x,T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_linorder__not__le_0,axiom,
% 0.55/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.55/1.19 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_linorder__not__le_1,axiom,
% 0.55/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.19 | ~ c_lessequals(V_x,V_y,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_right__inverse__eq_1,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.19 | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__self_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.55/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide__self__if_1,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.55/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mod__add__right__eq_0,axiom,
% 0.55/1.19 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.19 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mod__add__left__eq_0,axiom,
% 0.55/1.19 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.19 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__le__divide__iff_3,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__le__divide__iff_2,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__le__divide__iff_1,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__le__divide__iff_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_add__strict__increasing2_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.55/1.19 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_power__mono_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.19 | 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)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_eq__eqI_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.55/1.19 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.55/1.19 | V_x_H = V_y_H ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_eq__eqI_1,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.55/1.19 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.55/1.19 | V_xa = V_y ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_nat__mult__eq__cancel1_0,axiom,
% 0.55/1.19 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.55/1.19 | V_m = V_n ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult__less__cancel1_0,axiom,
% 0.55/1.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult__less__cancel2_0,axiom,
% 0.55/1.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_inverse__le__1__iff_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 0.55/1.19 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_power__le__zero__eq_5,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.19 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.19 | c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_power__less__zero__eq_1,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_power__le__zero__eq_3,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.19 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult__right__le__imp__le_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.19 | c_lessequals(V_a,V_b,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.19 | ~ 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult__left__le__imp__le_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.19 | c_lessequals(V_a,V_b,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.19 | ~ 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | 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)
% 0.55/1.19 | ~ c_lessequals(V_a,V_b,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | c_lessequals(V_a,V_b,T_a)
% 0.55/1.19 | ~ 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)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | 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)
% 0.55/1.19 | ~ c_lessequals(V_b,V_a,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | c_lessequals(V_b,V_a,T_a)
% 0.55/1.19 | ~ 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)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_nat__lt__two__imp__zero__or__one_0,axiom,
% 0.55/1.19 ( V_x = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.55/1.19 | V_x = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_minus__divide__divide_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_divide_Ominus_0,axiom,
% 0.55/1.19 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_mult_Oprod__diff__prod_0,axiom,
% 0.55/1.19 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__le__power__eq_1,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__le__power__iff_2,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__le__even__power_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.55/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.55/1.19 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.55/1.19 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_zero__less__Suc_0,axiom,
% 0.55/1.19 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_arith__simps_I31_J_0,axiom,
% 0.55/1.19 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a) = c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_one__le__inverse__iff_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_one__less__power_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_ab__left__minus_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_right__minus_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_left__minus_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.19 | 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_nat__0__less__mult__iff_0,axiom,
% 0.55/1.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_nat__0__less__mult__iff_1,axiom,
% 0.55/1.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_add__neg__neg_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_power__strict__mono_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.19 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.55/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.19 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.55/1.19 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.19 | V_a = V_b ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_right__minus__eq_0,axiom,
% 0.55/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.19 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.19 | V_a = V_b ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.19 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.19 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.19 | V_x = V_y ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.19 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.19 | ~ 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) ) ).
% 0.55/1.19
% 0.55/1.19 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 0.55/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.20 | ~ 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_Deriv_Oadd__diff__add_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__zero__left_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.20 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__eq__eq_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__zero_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide_Ozero_0,axiom,
% 0.55/1.20 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.55/1.20 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_power__le__zero__eq__number__of_4,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.20 | c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 0.55/1.20 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_Suc__mult__less__cancel1_0,axiom,
% 0.55/1.20 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_Suc__mult__less__cancel1_1,axiom,
% 0.55/1.20 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_Suc__lessI_0,axiom,
% 0.55/1.20 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.55/1.20 | c_Suc(V_m) = V_n
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_power__even__abs_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.20 | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_x,T_a),V_n,T_a) = c_Power_Opower__class_Opower(V_x,V_n,T_a)
% 0.55/1.20 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_odd__pos_0,axiom,
% 0.55/1.20 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.55/1.20 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_power__le__zero__eq__number__of_2,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.20 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 0.55/1.20 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_nat__dvd__1__iff__1_1,axiom,
% 0.55/1.20 c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_nonzero__number__of__Min_0,axiom,
% 0.55/1.20 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.20 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_inverse__eq__1__iff_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) != c_HOL_Oone__class_Oone(T_a)
% 0.55/1.20 | V_x = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_inverse__less__1__iff_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 0.55/1.20 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mod__Suc_0,axiom,
% 0.55/1.20 ( c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) != V_n
% 0.55/1.20 | c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_diff__def_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_class__ring_Osub__add_0,axiom,
% 0.55/1.20 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_diff__minus_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_ab__diff__minus_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_nonzero__minus__divide__divide_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.20 | 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)
% 0.55/1.20 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_dvd__minus__iff_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.55/1.20 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 0.55/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_dvd__minus__iff_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.55/1.20 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a)
% 0.55/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_minus__dvd__iff_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.55/1.20 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 0.55/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_minus__dvd__iff_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.55/1.20 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)
% 0.55/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__strict__right__mono_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__strict__right__mono__neg_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_abs__of__nat_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mod__diff__eq_0,axiom,
% 0.55/1.20 ( ~ class_Divides_Oring__div(T_a)
% 0.55/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__nonneg__pos_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__nonpos__neg_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__left__le__one__le_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)
% 0.55/1.20 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__right__le__one__le_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)
% 0.55/1.20 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__1_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.20 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__self__if_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_abs__leI_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_abs__le__iff_2,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_root0_0,axiom,
% 0.55/1.20 c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_abs__minus__cancel_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_nat__add__right__cancel_0,axiom,
% 0.55/1.20 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat)
% 0.55/1.20 | V_m = V_n ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_nat__add__left__cancel_0,axiom,
% 0.55/1.20 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 0.55/1.20 | V_m = V_n ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 0.55/1.20 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat)
% 0.55/1.20 | V_y = V_z ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.20 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 0.55/1.20 | V_y = V_z ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__imp__eq_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.55/1.20 | V_b = V_c ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__left__cancel_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.55/1.20 | V_b = V_c ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__right__cancel_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 0.55/1.20 | V_b = V_c ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_minus__one__even__power_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.55/1.20 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.55/1.20 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_not__square__less__zero_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__le__0__iff_4,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__le__0__iff_5,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_split__mult__neg__le_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_split__mult__neg__le_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_nonzero__inverse__mult__distrib_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.20 | 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)
% 0.55/1.20 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.20 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_abs__le__zero__iff_1,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__nonneg__pos_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__pos__nonneg_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_dvd__imp__mod__0_0,axiom,
% 0.55/1.20 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.20 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_dvd__eq__mod__eq__0_1,axiom,
% 0.55/1.20 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.20 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.20 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_dvd__0__left_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.20 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_nonzero__inverse__inverse__eq_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.20 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a
% 0.55/1.20 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_of__nat__0_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.55/1.20 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_zero__less__power__eq_4,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.55/1.20 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.20 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__eq__number__of_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__eq__number__of_6,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__le__eq__number__of1_8,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.55/1.20 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_le__divide__eq__number__of1_8,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__le__eq_5,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__le__eq_7,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_le__divide__eq_5,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_le__divide__eq_7,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_one__less__mult_0,axiom,
% 0.55/1.20 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__Suc__shift_0,axiom,
% 0.55/1.20 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_of__nat__Suc_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.55/1.20 | c_Nat_Osemiring__1__class_Oof__nat(c_Suc(V_m),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_one__is__add_3,axiom,
% 0.55/1.20 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.55/1.20 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.55/1.20 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_one__is__add_0,axiom,
% 0.55/1.20 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.55/1.20 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.20 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_zero__neq__one_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.55/1.20 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_of__nat__1_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.55/1.20 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_one__is__add_5,axiom,
% 0.55/1.20 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_dvd_Oless__trans_1,axiom,
% 0.55/1.20 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)
% 0.55/1.20 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 0.55/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.55/1.20 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.55/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_neg__0__le__iff__le_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_neg__0__le__iff__le_1,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mod__less__divisor_0,axiom,
% 0.55/1.20 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__eq__number__of1_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__eq__number__of1_4,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__divide__eq__number__of1_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__divide__eq__number__of1_4,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_nonzero__abs__inverse_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | 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)
% 0.55/1.20 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_nonzero__abs__divide_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | 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)
% 0.55/1.20 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_inverse__positive__imp__positive_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mod__diff__left__eq_0,axiom,
% 0.55/1.20 ( ~ class_Divides_Oring__div(T_a)
% 0.55/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mod__diff__right__eq_0,axiom,
% 0.55/1.20 ( ~ class_Divides_Oring__div(T_a)
% 0.55/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__eq__number__of1_2,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__eq__number__of1_3,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__divide__eq__number__of1_2,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__divide__eq__number__of1_3,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_zero__le__power__eq__number__of_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 0.55/1.20 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__cancel__21_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.55/1.20 | 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)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_gr__implies__not0_0,axiom,
% 0.55/1.20 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_not__less0_0,axiom,
% 0.55/1.20 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_nat__number__of__Min_0,axiom,
% 0.55/1.20 c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_power__Suc__less__one_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_inverse__less__imp__less_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__imp__inverse__less_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_inverse__less__imp__less__neg_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__imp__inverse__less__neg_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_zero__le__power__abs_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__mono_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.55/1.20 | 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)
% 0.55/1.20 | ~ c_lessequals(V_c,V_d,T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_power__0__left_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.55/1.20 | ~ class_Power_Opower(T_a)
% 0.55/1.20 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__divide__eq__number__of1_6,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__divide__eq__number__of1_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__eq__number__of1_6,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__eq__number__of1_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_abs__diff__less__iff_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_abs__inverse_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_abs__divide_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_abs__of__pos_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.20 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_positive__imp__inverse__positive_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_inverse__positive__iff__positive_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_inverse__positive__iff__positive_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__is__1_0,axiom,
% 0.55/1.20 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.55/1.20 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.20 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__is__1_3,axiom,
% 0.55/1.20 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.55/1.20 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.55/1.20 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 0.55/1.20 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 0.55/1.20 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__0__iff_3,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__0__iff_2,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__0__iff_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__0__iff_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_power__eq__imp__eq__base_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.20 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a)
% 0.55/1.20 | V_a = V_b
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__cancel__end_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 0.55/1.20 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__divide__mult__cancel__right_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | 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)
% 0.55/1.20 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__divide__mult__cancel__left_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | 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)
% 0.55/1.20 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_even__Suc_0,axiom,
% 0.55/1.20 ( ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 0.55/1.20 | ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(V_x),tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_even__Suc_1,axiom,
% 0.55/1.20 ( c_Parity_Oeven__odd__class_Oeven(c_Suc(V_x),tc_nat)
% 0.55/1.20 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_dvd__1__iff__1_0,axiom,
% 0.55/1.20 ( V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.55/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_abs__power__minus__one_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.20 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.20 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),V_n,T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_le__divide__eq__number__of1_6,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_le__divide__eq__number__of1_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__le__eq__number__of1_6,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__le__eq__number__of1_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_abs__of__nonpos_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.20 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__strict__right__mono_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__strict__left__mono_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_nat__mult__less__cancel1_1,axiom,
% 0.55/1.20 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_nat__mult__less__cancel1_0,axiom,
% 0.55/1.20 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__less__mono1_0,axiom,
% 0.55/1.20 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__less__mono2_0,axiom,
% 0.55/1.20 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__less__cancel1_2,axiom,
% 0.55/1.20 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mult__less__cancel2_2,axiom,
% 0.55/1.20 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_diff__minus__eq__add_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mod__mult__self2_0,axiom,
% 0.55/1.20 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mod__mult__self1_0,axiom,
% 0.55/1.20 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mod__mult__self3_0,axiom,
% 0.55/1.20 c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),V_m,tc_nat),V_n,tc_nat) = c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_power__le__zero__eq__number__of_5,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.20 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 0.55/1.20 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.20 | c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_dvd__mult__cancel__right_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.20 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 0.55/1.20 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_dvd__mult__cancel__left_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.20 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 0.55/1.20 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_nat__mult__dvd__cancel__disj_0,axiom,
% 0.55/1.20 ( c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 0.55/1.20 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_zero__le__imp__of__nat_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_of__nat__0__le__iff_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__0__left_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.20 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.20 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.55/1.20 V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.55/1.20 c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.55/1.20 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_le__divide__eq_9,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_le__divide__eq_3,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_le__divide__eq_2,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__le__eq_9,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.55/1.20 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__le__eq_3,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__le__eq_2,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__diff__cancel_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.20 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__divide__distrib_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide_Oadd_0,axiom,
% 0.55/1.20 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_abs__diff__less__iff_2,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__1__mult_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_m,V_n,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_minus__equation__iff_1,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.20 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_equation__minus__iff_1,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.20 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_equation__minus__iff_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.20 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_double__compl_0,axiom,
% 0.55/1.20 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.55/1.20 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_minus__minus_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.20 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_minus__diff__eq_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__less__le__mono_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_c,V_d,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__le__less__mono_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_Suc__mono_0,axiom,
% 0.55/1.20 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_Suc__less__eq_0,axiom,
% 0.55/1.20 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.55/1.20 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_minus__less__iff_1,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_minus__less__iff_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__minus__iff_1,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__minus__iff_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_minus__le__iff_1,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_power__le__zero__eq__number__of_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.20 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.20 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 0.55/1.20 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__0__1__iff_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__0__1__iff_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_DERIV__mult__lemma_0,axiom,
% 0.55/1.20 ( ~ class_RealVector_Oreal__field(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mod__mod__trivial_0,axiom,
% 0.55/1.20 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.20 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_abs__diff__triangle__ineq_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__strict__increasing_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.55/1.20 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_b,V_c,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_zero__le__power__iff_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_zero__le__power_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_le__minus__self__iff_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_le__minus__self__iff_1,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_minus__le__self__iff_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_minus__le__self__iff_1,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__eq__neg__nonpos_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_neg__less__eq__nonneg_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_eq__add__iff1_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_neg__power__if_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.55/1.20 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_n,T_a) = c_Power_Opower__class_Opower(V_x,V_n,T_a)
% 0.55/1.20 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__le__eq__number__of_8,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.55/1.20 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_one__le__power_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_abs__idempotent_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__Suc_0,axiom,
% 0.55/1.20 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_add__Suc__right_0,axiom,
% 0.55/1.20 c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_eq__add__iff1_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.55/1.20 | 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)
% 0.55/1.20 | 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 ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_eq__add__iff2_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.55/1.20 | 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)
% 0.55/1.20 | 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) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_zero__less__abs__iff_1,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 0.55/1.20 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__le__eq__number__of1_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__le__eq__number__of1_4,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_le__divide__eq__number__of1_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_le__divide__eq__number__of1_4,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_power__strict__decreasing_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_number__of__Min_0,axiom,
% 0.55/1.20 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.20 | c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__eq__number__of_5,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__eq__number__of_7,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__eq__number__of1_5,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__divide__eq__number__of1_5,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_Suc__times__mod__eq_0,axiom,
% 0.55/1.20 ( c_Divides_Odiv__class_Omod(c_Suc(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat)),V_k,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),V_k,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__eq__number__of_2,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__eq__number__of_3,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__less__eq__number__of_9,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | ~ class_Int_Onumber(T_a)
% 0.55/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_complex__i__not__one_0,axiom,
% 0.55/1.20 c_Complex_Oii != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mod__by__0_0,axiom,
% 0.55/1.20 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.20 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_mod__self_0,axiom,
% 0.55/1.20 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.20 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_less__add__eq__less_0,axiom,
% 0.55/1.20 ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 0.55/1.20 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.55/1.20 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_nat__add__commute_0,axiom,
% 0.55/1.20 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.55/1.20 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.55/1.20 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__le__0__iff_0,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__le__0__iff_1,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__le__0__iff_2,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.20 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.20
% 0.55/1.20 cnf(cls_divide__le__0__iff_3,axiom,
% 0.55/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.20 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_inverse__le__imp__le_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | c_lessequals(V_b,V_a,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_le__imp__inverse__le_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.21 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_inverse__le__imp__le__neg_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | c_lessequals(V_b,V_a,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_le__imp__inverse__le__neg_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__minus__cong_0,axiom,
% 0.55/1.21 ( ~ class_Divides_Oring__div(T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(V_a,V_b,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_b,T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a_H,T_a),V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_eq__number__of__Pls__Min_0,axiom,
% 0.55/1.21 c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_Int_Oint) != c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_Int_Oint) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__less__eq_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__less__eq_4,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__less__eq_5,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__less__eq_7,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__divide__eq_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__divide__eq_4,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__divide__eq_5,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__divide__eq_7,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_inverse__le__1__iff_2,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_HOL_Oplus__class_Oplus(V_m,V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat_Oinject_0,axiom,
% 0.55/1.21 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.55/1.21 | V_nat = V_nat_H ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_Suc__inject_0,axiom,
% 0.55/1.21 ( c_Suc(V_x) != c_Suc(V_y)
% 0.55/1.21 | V_x = V_y ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_abs__ge__minus__self_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.21 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__divide__eq__number__of_5,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__divide__eq__number__of_7,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_One__nat__def_0,axiom,
% 0.55/1.21 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_abs__ge__self_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.21 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__divide__eq__number__of_2,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__divide__eq__number__of_3,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__divide__eq__number__of_9,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__add__iff1_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__add__iff1_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__add__iff2_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__add__iff2_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_eq__divide__eq_4,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__add__cong_0,axiom,
% 0.55/1.21 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__Suc0_1,axiom,
% 0.55/1.21 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_one__is__add_2,axiom,
% 0.55/1.21 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.55/1.21 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.21 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_one__is__add_1,axiom,
% 0.55/1.21 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.55/1.21 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.55/1.21 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_zero__less__power_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_even__zero__nat_0,axiom,
% 0.55/1.21 c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_minus__unique_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.21 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.21 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_not__one__less__zero_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_abs__less__iff_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__mult__self4_0,axiom,
% 0.55/1.21 c_Divides_Odiv__class_Omod(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),V_m,tc_nat)),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nonzero__power__inverse_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.21 | 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)
% 0.55/1.21 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nonzero__inverse__minus__eq_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.21 | 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)
% 0.55/1.21 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__divide__eq__number__of_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__divide__eq__number__of_4,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.55/1.21 ( V_n = V_m
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_minus__le__iff_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.21 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_le__minus__iff_1,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.21 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_le__minus__iff_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.21 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd_Ole__less__trans_1,axiom,
% 0.55/1.21 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd_Oless__le__trans_1,axiom,
% 0.55/1.21 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__mult__mult2_0,axiom,
% 0.55/1.21 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(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_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__mult__mult1_0,axiom,
% 0.55/1.21 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(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_Otimes__class_Otimes(V_c,c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__dvd__mono_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_minus__mult__commute_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__eq__0__iff_2,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__eq__0__iff_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__zero__right_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__zero__left_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Omul__0_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__right_Ozero_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult_Ozero__right_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult_Ozero__left_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__left_Ozero_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__mult__cong_0,axiom,
% 0.55/1.21 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_abs__mult__self_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.21 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | 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)
% 0.55/1.21 | V_y = V_z
% 0.55/1.21 | V_w = V_x ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.21 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | 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)
% 0.55/1.21 | V_c = V_d
% 0.55/1.21 | V_a = V_b ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__mult__eq_0,axiom,
% 0.55/1.21 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__mult__cancel__right_2,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__mult__cancel__left_2,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_inverse__mult__distrib_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_minus__mult__minus_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_square__eq__iff_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__right_Ominus_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult_Ominus__right_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__left_Ominus_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult_Ominus__left_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Omul__d_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult_Oadd__left_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__left_Oadd_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult_Oadd__right_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__right_Oadd_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__mult__right_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__mult__left_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__mult2_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__mult_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_minus__mult__right_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_minus__mult__left_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__frac__frac_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_abs__mult_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__eq__0__iff_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_no__zero__divisors_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_square__eq__iff_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)
% 0.55/1.21 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.55/1.21 | V_a = V_b ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_zmod__simps_I4_J_0,axiom,
% 0.55/1.21 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__1__right_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__1__left_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__1_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Omul__1_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__triv__right_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__triv__left_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvdI_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.21 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.55/1.21 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_combine__common__factor_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__right_Odiff_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult_Odiff__right_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult_Odiff__left_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__left_Odiff_0,axiom,
% 0.55/1.21 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__mult__right__eq_0,axiom,
% 0.55/1.21 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__mult__left__eq_0,axiom,
% 0.55/1.21 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__frac__num_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__eq__eq__number__of_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a) != c_Int_Onumber__class_Onumber__of(V_w,T_a)
% 0.55/1.21 | V_b = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a)
% 0.55/1.21 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__eq__eq__number__of1_4,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__eq__eq__number__of_3,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a)
% 0.55/1.21 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_eq__divide__eq__number__of1_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = V_b
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__eq__eq__number__of1_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_eq__divide__eq__number__of_3,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a)
% 0.55/1.21 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__eq__eq__number__of_4,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_eq__divide__eq__number__of_4,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_eq__divide__eq__number__of_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a) = V_b
% 0.55/1.21 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_eq__divide__eq__number__of1_3,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__eq__eq__number__of1_3,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = V_a
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_eq__divide__eq__number__of1_4,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__minus1_0,axiom,
% 0.55/1.21 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),V_z,T_a) = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__minus1__right_0,axiom,
% 0.55/1.21 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(V_z,c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_number__of__Bit1_0,axiom,
% 0.55/1.21 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(c_Int_OBit1(V_w),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__Numeral0_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OPls,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_number__of__Bit0_0,axiom,
% 0.55/1.21 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(c_Int_OBit0(V_w),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__minus_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_n,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__less__power__Suc_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__gt1__lemma_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_neg__one__odd__power_0,axiom,
% 0.55/1.21 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),V_x,T_a) = c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a)
% 0.55/1.21 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_half_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),T_a),T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_Bit1__Min_0,axiom,
% 0.55/1.21 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_rel__simps_I47_J_0,axiom,
% 0.55/1.21 ( c_Int_OBit1(V_k) != c_Int_OMin
% 0.55/1.21 | V_k = c_Int_OMin ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__antisym_0,axiom,
% 0.55/1.21 ( V_m = V_n
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__SucE_0,axiom,
% 0.55/1.21 ( V_m = V_n
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__eq__self__implies__10_0,axiom,
% 0.55/1.21 ( V_m != c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)
% 0.55/1.21 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.21 | V_n = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_gcd__lcm__complete__lattice__nat_Otop__greatest_0,axiom,
% 0.55/1.21 c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__0__right_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__divide__eq__number__of_8,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_le__divide__eq__number__of_4,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_le__divide__eq__number__of_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.21 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_add__frac__eq_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | 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)
% 0.55/1.21 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__eq__1__iff_2,axiom,
% 0.55/1.21 c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_zero__less__power__eq__number__of_2,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__eq__eq_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)
% 0.55/1.21 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_eq__divide__eq_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b
% 0.55/1.21 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_zero__le__one_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_abs__power__minus_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__1_0,axiom,
% 0.55/1.21 c_Divides_Odiv__class_Omod(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_iszero__def_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.55/1.21 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | ~ c_Int_Oiszero(V_z,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__by__1_0,axiom,
% 0.55/1.21 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_abs__mult__pos_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | 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)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__reduce_1,axiom,
% 0.55/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__reduce_0,axiom,
% 0.55/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_one__le__inverse__iff_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_abs__dvd__iff_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_abs__dvd__iff_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__abs__iff_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__abs__iff_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_one__is__add_4,axiom,
% 0.55/1.21 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_order__less__le_1,axiom,
% 0.55/1.21 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__not__refl_0,axiom,
% 0.55/1.21 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat__less__le_1,axiom,
% 0.55/1.21 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_linorder__neq__iff_1,axiom,
% 0.55/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_order__less__irrefl_0,axiom,
% 0.55/1.21 ( ~ class_Orderings_Opreorder(T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__le__not__le_2,axiom,
% 0.55/1.21 ( ~ class_Orderings_Opreorder(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.55/1.21 | c_lessequals(V_y,V_x,T_a)
% 0.55/1.21 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_abs__number__of_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_x,T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_x,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_add__pos__pos_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_not__one__le__zero_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_inverse__negative__iff__negative_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_inverse__negative__iff__negative_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_negative__imp__inverse__negative_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__minus1_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(V_x,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__diff__cong_0,axiom,
% 0.55/1.21 ( ~ class_Divides_Oring__div(T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat__dvd__not__less_0,axiom,
% 0.55/1.21 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_n,V_m,tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_le__iff__diff__le__0_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.21 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_le__iff__diff__le__0_1,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.21 | c_lessequals(V_a,V_b,T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_add__less__mono_0,axiom,
% 0.55/1.21 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_add__strict__mono_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_order__le__less_1,axiom,
% 0.55/1.21 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.21 | c_lessequals(V_x,V_y,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_order__less__imp__le_0,axiom,
% 0.55/1.21 ( ~ class_Orderings_Opreorder(T_a)
% 0.55/1.21 | c_lessequals(V_x,V_y,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_add__cancel__end_1,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.55/1.21 | 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 ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_minus__add__cancel_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.21 | 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 ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_inverse__eq__1__iff_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_one__less__inverse__iff_2,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_inverse__1_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.21 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_zero__le__divide__iff_4,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_zero__le__divide__iff_5,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.55/1.21 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.55/1.21 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_frac__le_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(V_w,V_z,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.55/1.21 | ~ c_lessequals(V_x,V_y,T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__gt1_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__iff__diff__less__0_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__iff__diff__less__0_1,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_abs__not__less__zero_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_of__nat__less__iff_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_of__nat__less__iff_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__le__zero__eq_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__le__zero__eq_2,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.21 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_zero__less__one_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__strict__left__mono_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__strict__left__mono__neg_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__mult__cancel_0,axiom,
% 0.55/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat__mult__dvd__cancel1_0,axiom,
% 0.55/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat__mult__dvd__cancel1_1,axiom,
% 0.55/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_zero__less__power__eq__number__of_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.55/1.21 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.21 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__le__imp__le__base_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_lessequals(V_a,V_b,T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.21 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat__mod__eq__iff_1,axiom,
% 0.55/1.21 ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_n,V_xa,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(V_y,c_HOL_Otimes__class_Otimes(V_n,V_xb,tc_nat),tc_nat)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(V_x,V_n,tc_nat) = c_Divides_Odiv__class_Omod(V_y,V_n,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_inverse__zero__imp__zero_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.21 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__le__less__imp__less_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.55/1.21 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__less__le__imp__less_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.21 | ~ c_lessequals(V_c,V_d,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__inject__exp_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.55/1.21 | V_m = V_n ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_le__number__of__eq__not__less_0,axiom,
% 0.55/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_le__number__of__eq__not__less_1,axiom,
% 0.55/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__eq__mod__eq__0__number__of_0,axiom,
% 0.55/1.21 ( ~ class_Int_Onumber(T_a)
% 0.55/1.21 | ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(V_y,T_a),c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(V_x,T_a),c_Int_Onumber__class_Onumber__of(V_y,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__eq__mod__eq__0__number__of_1,axiom,
% 0.55/1.21 ( ~ class_Int_Onumber(T_a)
% 0.55/1.21 | ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(V_y,T_a),c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(V_x,T_a),c_Int_Onumber__class_Onumber__of(V_y,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_zero__less__power__eq__number__of_5,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.55/1.21 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_gr0I_0,axiom,
% 0.55/1.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.55/1.21 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__eq__eq__number__of1_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_neq0__conv_1,axiom,
% 0.55/1.21 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_abs__triangle__ineq4_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_neg__power__if_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_n,T_a) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.55/1.21 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_minus__one__odd__power_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 0.55/1.21 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_n__less__n__mult__m_0,axiom,
% 0.55/1.21 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_n__less__m__mult__n_0,axiom,
% 0.55/1.21 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_minus__zero_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.21 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_neg__equal__zero_1,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.55/1.21 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_rel__simps_I43_J_0,axiom,
% 0.55/1.21 ( c_Int_OMin != c_Int_OBit1(V_l)
% 0.55/1.21 | c_Int_OMin = V_l ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_rel__simps_I43_J_1,axiom,
% 0.55/1.21 c_Int_OMin = c_Int_OBit1(c_Int_OMin) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_rel__simps_I37_J_0,axiom,
% 0.55/1.21 c_Int_OPls != c_Int_OMin ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_rel__simps_I40_J_0,axiom,
% 0.55/1.21 c_Int_OMin != c_Int_OPls ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_rel__simps_I42_J_0,axiom,
% 0.55/1.21 c_Int_OMin != c_Int_OBit0(V_l) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_rel__simps_I45_J_0,axiom,
% 0.55/1.21 c_Int_OBit0(V_k) != c_Int_OMin ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod2__gr__0_0,axiom,
% 0.55/1.21 ( c_Divides_Odiv__class_Omod(V_m,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Omod(V_m,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod2__gr__0_1,axiom,
% 0.55/1.21 ( c_Divides_Odiv__class_Omod(V_m,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Omod(V_m,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_Suc__mod__eq__add3__mod__number__of_0,axiom,
% 0.55/1.21 c_Divides_Odiv__class_Omod(c_Suc(c_Suc(c_Suc(V_m))),c_Int_Onumber__class_Onumber__of(V_v,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat),V_m,tc_nat),c_Int_Onumber__class_Onumber__of(V_v,tc_nat),tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__Suc__eq__mod__add3_0,axiom,
% 0.55/1.21 c_Divides_Odiv__class_Omod(V_m,c_Suc(c_Suc(c_Suc(V_n))),tc_nat) = c_Divides_Odiv__class_Omod(V_m,c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat),tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_Suc__mod__eq__add3__mod_0,axiom,
% 0.55/1.21 c_Divides_Odiv__class_Omod(c_Suc(c_Suc(c_Suc(V_m))),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat),V_m,tc_nat),V_n,tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__one__right_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_a ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(V_x,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_x ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__one_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__inverse_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_field__power__not__zero_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__eq__0__iff_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.55/1.21 | ~ class_Power_Opower(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__divide_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__abs_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_dvd__power__same_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__even__abs__number__of_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_x,T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) = c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a)
% 0.55/1.21 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__eq__0__iff__number__of_2,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.55/1.21 | ~ class_Power_Opower(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__0__left__number__of_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.55/1.21 | ~ class_Power_Opower(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__le__zero__eq__number__of_3,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__eq__0__iff__number__of_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.55/1.21 | ~ class_Power_Opower(T_a)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.21 | c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__less__zero__eq__number__of_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat__1__eq__mult__iff_0,axiom,
% 0.55/1.21 ( c_HOL_Oone__class_Oone(tc_nat) != c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)
% 0.55/1.21 | V_m = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat__1__eq__mult__iff_1,axiom,
% 0.55/1.21 ( c_HOL_Oone__class_Oone(tc_nat) != c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)
% 0.55/1.21 | V_n = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_even__product__nat_0,axiom,
% 0.55/1.21 ( c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.55/1.21 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 0.55/1.21 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__is__0_1,axiom,
% 0.55/1.21 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__is__0_2,axiom,
% 0.55/1.21 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_natgb_Oadd__mul__solve_0,axiom,
% 0.55/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat)
% 0.55/1.21 | V_y = V_z
% 0.55/1.21 | V_w = V_x ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_natgb_Onoteq__reduce_0,axiom,
% 0.55/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,tc_nat),c_HOL_Otimes__class_Otimes(V_b,V_d,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,tc_nat),c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat),tc_nat)
% 0.55/1.21 | V_c = V_d
% 0.55/1.21 | V_a = V_b ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat__mult__eq__cancel__disj_0,axiom,
% 0.55/1.21 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.55/1.21 | V_m = V_n
% 0.55/1.21 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__cancel1_0,axiom,
% 0.55/1.21 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.55/1.21 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.21 | V_m = V_n ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__cancel2_0,axiom,
% 0.55/1.21 ( c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat) != c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat)
% 0.55/1.21 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.21 | V_m = V_n ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_even__product__nat_1,axiom,
% 0.55/1.21 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat)
% 0.55/1.21 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_even__product__nat_2,axiom,
% 0.55/1.21 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat)
% 0.55/1.21 | ~ c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat__mult__dvd__cancel__disj_2,axiom,
% 0.55/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_add__mult__distrib_0,axiom,
% 0.55/1.21 c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_add__mult__distrib2_0,axiom,
% 0.55/1.21 c_HOL_Otimes__class_Otimes(V_k,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_Suc__mult__cancel1_0,axiom,
% 0.55/1.21 ( c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat)
% 0.55/1.21 | V_m = V_n ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__cancel1_1,axiom,
% 0.55/1.21 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__cancel2_1,axiom,
% 0.55/1.21 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__less__cancel1_1,axiom,
% 0.55/1.21 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__less__cancel2_1,axiom,
% 0.55/1.21 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mult__is__0_0,axiom,
% 0.55/1.21 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.21 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.21 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat__1__eq__mult__iff_2,axiom,
% 0.55/1.21 c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat__mult__1_0,axiom,
% 0.55/1.21 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) = V_n ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat__mult__1__right_0,axiom,
% 0.55/1.21 c_HOL_Otimes__class_Otimes(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_natgb_Oadd__mul__solve_1,axiom,
% 0.55/1.21 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_natgb_Onoteq__reduce_1,axiom,
% 0.55/1.21 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat),tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat__mult__eq__1__iff_0,axiom,
% 0.55/1.21 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 0.55/1.21 | V_m = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat__mult__eq__1__iff_1,axiom,
% 0.55/1.21 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 0.55/1.21 | V_n = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_left__add__mult__distrib_0,axiom,
% 0.55/1.21 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_k,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_u,tc_nat),V_k,tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_nat__mult__eq__1__iff_2,axiom,
% 0.55/1.21 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__mult__distrib_0,axiom,
% 0.55/1.21 c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_k,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__mult__distrib2_0,axiom,
% 0.55/1.21 c_HOL_Otimes__class_Otimes(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_half__gt__zero_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_r,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),T_a),T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_r,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_half__gt__zero__iff_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_r,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_r,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),T_a),T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_less__2__cases_0,axiom,
% 0.55/1.21 ( V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.55/1.21 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_n,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__exhaust__less__4_0,axiom,
% 0.55/1.21 ( c_Divides_Odiv__class_Omod(V_m,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(V_m,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(V_m,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(V_m,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_double__number__of__Bit0_0,axiom,
% 0.55/1.21 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(V_w),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_numeral__1__eq__Suc__0_0,axiom,
% 0.55/1.21 c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_numeral__3__eq__3_0,axiom,
% 0.55/1.21 c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat) = c_Suc(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_Suc3__eq__add__3_0,axiom,
% 0.55/1.21 c_Suc(c_Suc(c_Suc(V_n))) = c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_transfer__int__nat__numerals_I4_J_0,axiom,
% 0.55/1.21 c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_Int_Oint) = c_Nat_Osemiring__1__class_Oof__nat(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_Int_Oint) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power2__less__imp__less_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_Power_Opower__class_Opower(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_sum__power2__le__zero__iff_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_Power_Opower__class_Opower(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_sum__power2__le__zero__iff_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_Power_Opower__class_Opower(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_sum__power2__le__zero__iff_2,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | c_lessequals(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_sum__power2__gt__zero__iff_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_sum__power2__gt__zero__iff_2,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_Power_Opower__class_Opower(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a),T_a)
% 0.55/1.21 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_sum__power2__gt__zero__iff_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_Power_Opower__class_Opower(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a),T_a)
% 0.55/1.21 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_sum__power2__ge__zero_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_Power_Opower__class_Opower(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_not__sum__power2__lt__zero_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_Power_Opower__class_Opower(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_root__cancel_0,axiom,
% 0.55/1.21 ( c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(V_d,V_n,tc_nat)),c_HOL_Otimes__class_Otimes(V_d,V_k,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(V_n),V_k,tc_Complex_Ocomplex)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_d,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_left__distrib__number__of_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_left__diff__distrib__number__of_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_right__diff__distrib__number__of_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Ominus__class_Ominus(V_b,V_c,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_b,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_c,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_right__distrib__number__of_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_b,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_c,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_iszero__number__of__Bit1_0,axiom,
% 0.55/1.21 ( ~ class_Int_Oring__char__0(T_a)
% 0.55/1.21 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(V_w),T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_comp__arith_I112_J_0,axiom,
% 0.55/1.21 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_HOL_Ozero__class_Ozero(T_a) = c_Int_Onumber__class_Onumber__of(c_Int_OPls,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_number__of__Pls_0,axiom,
% 0.55/1.21 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_Int_Onumber__class_Onumber__of(c_Int_OPls,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_iszero__number__of__Pls_0,axiom,
% 0.55/1.21 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OPls,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_add__numeral__0_0,axiom,
% 0.55/1.21 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OPls,T_a),V_a,T_a) = V_a ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_add__numeral__0__right_0,axiom,
% 0.55/1.21 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_HOL_Oplus__class_Oplus(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OPls,T_a),T_a) = V_a ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_iszero__number__of__Bit0_0,axiom,
% 0.55/1.21 ( ~ class_Int_Oring__char__0(T_a)
% 0.55/1.21 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.21 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(V_w),T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_iszero__number__of__Bit0_1,axiom,
% 0.55/1.21 ( ~ class_Int_Oring__char__0(T_a)
% 0.55/1.21 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(V_w),T_a),T_a)
% 0.55/1.21 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Osemiring__rules_I28_J_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),V_x,T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Osemiring__rules_I27_J_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Omul__pwr_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_p,T_a),c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,c_HOL_Oplus__class_Oplus(V_p,V_q,tc_nat),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Opwr__Suc_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(V_x,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__Suc2_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__Suc_0,axiom,
% 0.55/1.21 ( ~ class_Power_Opower(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__semiring_Osemiring__rules_I35_J_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__add_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.55/1.21 | c_Power_Opower__class_Opower(V_a,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_one__add__one__is__two_0,axiom,
% 0.55/1.21 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_of__nat__mult_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.55/1.21 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_numeral__2__eq__2_0,axiom,
% 0.55/1.21 c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) = c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_divide__inverse_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_class__fieldgb_Odivide__inverse_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.21 | 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) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_iszero__0_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.55/1.21 | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_mod__mod__cancel_0,axiom,
% 0.55/1.21 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.21 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(V_a,V_c,T_a)
% 0.55/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_zero__less__divide__1__iff_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_zero__less__divide__1__iff_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_inverse__eq__divide__number__of_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.21 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.55/1.21 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.55/1.21 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_abs__if__lattice_1,axiom,
% 0.55/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.21 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.55/1.21 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_abs__if_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 0.55/1.21 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__less__imp__less__exp_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__strict__increasing_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__strict__increasing__iff_0,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_power__strict__increasing__iff_1,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.55/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_le__divide__eq__number__of_9,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_le__divide__eq__number__of_3,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.21 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_le__divide__eq__number__of_2,axiom,
% 0.55/1.21 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.21 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.21 | ~ class_Int_Onumber(T_a)
% 0.55/1.21 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.21 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_not__add__less2_0,axiom,
% 0.55/1.21 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_not__add__less1_0,axiom,
% 0.55/1.21 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat) ).
% 0.55/1.21
% 0.55/1.21 cnf(cls_Lim_Ominus__diff__minus_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_nonzero__power__divide_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.22 | 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)
% 0.55/1.22 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_abs__add__abs_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_divide__le__eq_1,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_divide__le__eq_4,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_le__divide__eq_1,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.22 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_le__divide__eq_4,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_divide__le__eq__number__of1_5,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | ~ class_Int_Onumber(T_a)
% 0.55/1.22 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_le__divide__eq__number__of1_5,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | ~ class_Int_Onumber(T_a)
% 0.55/1.22 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_mod__Suc__eq__Suc__mod_0,axiom,
% 0.55/1.22 c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)),V_n,tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_abs__eq__0_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.22 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.22 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_zero__less__abs__iff_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_divide__neg__pos_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_divide__pos__neg_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_divide__less__0__iff_4,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_divide__less__0__iff_5,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_dvd__power_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_add__less__mono1_0,axiom,
% 0.55/1.22 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.55/1.22 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.55/1.22 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_add__less__cancel__left_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_add__less__cancel__left_1,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_add__strict__left__mono_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_add__less__cancel__right_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_add__less__cancel__right_1,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_add__strict__right__mono_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_order__eq__refl_0,axiom,
% 0.55/1.22 ( ~ class_Orderings_Opreorder(T_a)
% 0.55/1.22 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_order__eq__iff_0,axiom,
% 0.55/1.22 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.22 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_order__le__less__trans_0,axiom,
% 0.55/1.22 ( ~ class_Orderings_Opreorder(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.55/1.22 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_order__less__le__trans_0,axiom,
% 0.55/1.22 ( ~ class_Orderings_Opreorder(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.55/1.22 | ~ c_lessequals(V_y,V_z,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_le__add__right__mono_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.22 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(V_c,V_d,T_a)
% 0.55/1.22 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_order__trans_0,axiom,
% 0.55/1.22 ( ~ class_Orderings_Opreorder(T_a)
% 0.55/1.22 | c_lessequals(V_x,V_z,T_a)
% 0.55/1.22 | ~ c_lessequals(V_y,V_z,T_a)
% 0.55/1.22 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.55/1.22 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_xt1_I8_J_0,axiom,
% 0.55/1.22 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.55/1.22 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_xt1_I7_J_0,axiom,
% 0.55/1.22 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.55/1.22 | ~ c_lessequals(V_z,V_y,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_xt1_I6_J_0,axiom,
% 0.55/1.22 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.22 | c_lessequals(V_z,V_x,T_a)
% 0.55/1.22 | ~ c_lessequals(V_z,V_y,T_a)
% 0.55/1.22 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_inverse__less__1__iff_2,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_add__is__1_5,axiom,
% 0.55/1.22 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_divide__le__eq__number__of_7,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | ~ class_Int_Onumber(T_a)
% 0.55/1.22 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_divide__le__eq__number__of_5,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | ~ class_Int_Onumber(T_a)
% 0.55/1.22 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_mod__eq__0__iff_1,axiom,
% 0.55/1.22 c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_d,V_x,tc_nat),V_d,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_mod__mult__self1__is__0_0,axiom,
% 0.55/1.22 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.22 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_mod__mult__self2__is__0_0,axiom,
% 0.55/1.22 ( ~ class_Divides_Osemiring__div(T_a)
% 0.55/1.22 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_divide__le__eq__number__of1_9,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | ~ class_Int_Onumber(T_a)
% 0.55/1.22 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.55/1.22 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_le__divide__eq__number__of1_9,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | ~ class_Int_Onumber(T_a)
% 0.55/1.22 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_division__ring__inverse__diff_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.55/1.22 | 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)
% 0.55/1.22 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.22 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_minus1__divide_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_x,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_abs__diff__less__iff_1,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_zero__less__power__eq__number__of_4,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 0.55/1.22 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.22 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_not__iszero__1_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.55/1.22 | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_zero__less__power__eq__number__of_1,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 0.55/1.22 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_eq__divide__eq_2,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_zero__le__power__iff_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.22 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_zero__le__odd__power_1,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.55/1.22 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_zero__le__odd__power_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.55/1.22 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_zero__le__power__eq_2,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.55/1.22 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_zero__le__power__eq_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.55/1.22 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_neg__0__less__iff__less_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_neg__0__less__iff__less_1,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_frac__eq__eq_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.22 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a)
% 0.55/1.22 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.22 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.22 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_frac__eq__eq_1,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.22 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)
% 0.55/1.22 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.22 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.22 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_less__minus__self__iff_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_less__minus__self__iff_1,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_abs__ge__zero_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.55/1.22 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_divide__eq__eq_4,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_dvd__if__abs__eq_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_HOL_Oabs__class_Oabs(V_l,T_a) != c_HOL_Oabs__class_Oabs(V_k,T_a)
% 0.55/1.22 | c_Ring__and__Field_Odvd__class_Odvd(V_l,V_k,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_minus__add_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_minus__add__distrib_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_order__less__asym_0,axiom,
% 0.55/1.22 ( ~ class_Orderings_Opreorder(T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_linorder__linear_0,axiom,
% 0.55/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.22 | c_lessequals(V_y,V_x,T_a)
% 0.55/1.22 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_dvd_Oless__le__trans_0,axiom,
% 0.55/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 0.55/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.55/1.22 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.55/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_dvd_Ole__less__trans_0,axiom,
% 0.55/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 0.55/1.22 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 0.55/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.55/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_order__less__asym_H_0,axiom,
% 0.55/1.22 ( ~ class_Orderings_Opreorder(T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.55/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_xt1_I9_J_0,axiom,
% 0.55/1.22 ( ~ class_Orderings_Oorder(T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_nat__even__iff__2__dvd_0,axiom,
% 0.55/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_x,tc_nat)
% 0.55/1.22 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_nat__even__iff__2__dvd_1,axiom,
% 0.55/1.22 ( c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 0.55/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_x,tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_nat__1__add__1_0,axiom,
% 0.55/1.22 c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_add__2__eq__Suc_0,axiom,
% 0.55/1.22 c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat) = c_Suc(c_Suc(V_n)) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_add__2__eq__Suc_H_0,axiom,
% 0.55/1.22 c_HOL_Oplus__class_Oplus(V_n,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_Suc(c_Suc(V_n)) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_transfer__int__nat__numerals_I3_J_0,axiom,
% 0.55/1.22 c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_Int_Oint) = c_Nat_Osemiring__1__class_Oof__nat(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_pos2_0,axiom,
% 0.55/1.22 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_mod2__Suc__Suc_0,axiom,
% 0.55/1.22 c_Divides_Odiv__class_Omod(c_Suc(c_Suc(V_m)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(V_m,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_comp__arith_I115_J_0,axiom,
% 0.55/1.22 c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_even__even__mod__4__iff_1,axiom,
% 0.55/1.22 ( c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.55/1.22 | ~ c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Omod(V_n,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat),tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_even__even__mod__4__iff_0,axiom,
% 0.55/1.22 ( c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Omod(V_n,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat),tc_nat)
% 0.55/1.22 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_comp__arith_I113_J_0,axiom,
% 0.55/1.22 c_HOL_Ozero__class_Ozero(tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_nat__number__of__Pls_0,axiom,
% 0.55/1.22 c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power__minus1__odd_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),c_Suc(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat)),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_odd__power__less__zero_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,c_Suc(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat)),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_odd__0__le__power__imp__0__le_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,c_Suc(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat)),T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power__eq__0__iff__number__of_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.55/1.22 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.55/1.22 | ~ class_Power_Opower(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.22 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_sum__power2__eq__zero__iff_2,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power2__less__0_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_zero__less__power2_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power2__le__imp__le_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.22 | c_lessequals(V_x,V_y,T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.55/1.22 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_Power_Opower__class_Opower(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_sum__power2__eq__zero__iff_1,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_Power_Opower__class_Opower(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.22 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_sum__power2__eq__zero__iff_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_Power_Opower__class_Opower(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.22 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_zero__le__power2_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power2__eq__imp__eq_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) != c_Power_Opower__class_Opower(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a)
% 0.55/1.22 | V_x = V_y
% 0.55/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.55/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_zero__less__power2_1,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a)
% 0.55/1.22 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_odd__Suc__mult__two__ex_1,axiom,
% 0.55/1.22 ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_x,tc_nat)),tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_even__mult__two__ex_0,axiom,
% 0.55/1.22 ( V_n = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),c_Parity_Osko__Parity__Xeven__mult__two__ex__1__1(V_n),tc_nat)
% 0.55/1.22 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_root__unity_0,axiom,
% 0.55/1.22 c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(V_n),V_n,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_inverse__numeral__1_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.22 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a),T_a) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_divide__Numeral1_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.22 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a),T_a) = V_x ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_divide__numeral__1_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.55/1.22 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | c_HOL_Oinverse__class_Odivide(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a),T_a) = V_a ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_numeral__1__eq__1_0,axiom,
% 0.55/1.22 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_comp__arith_I110_J_0,axiom,
% 0.55/1.22 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | c_HOL_Oone__class_Oone(T_a) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_not__iszero__Numeral1_0,axiom,
% 0.55/1.22 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_nat__numeral__1__eq__1_0,axiom,
% 0.55/1.22 c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_Numeral1__eq1__nat_0,axiom,
% 0.55/1.22 c_HOL_Oone__class_Oone(tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power__minus1__even_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_zero__le__even__power_H_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat),T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_even__power__le__0__imp__0_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.22 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_k,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power2__diff_0,axiom,
% 0.55/1.22 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_Power_Opower__class_Opower(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),T_a),V_x,T_a),V_y,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power__m1__odd_0,axiom,
% 0.55/1.22 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),c_Suc(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat)),T_a) = c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power__m1__even_0,axiom,
% 0.55/1.22 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_mult__2_0,axiom,
% 0.55/1.22 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),T_a),V_z,T_a) = c_HOL_Oplus__class_Oplus(V_z,V_z,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_mult__2__right_0,axiom,
% 0.55/1.22 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | c_HOL_Otimes__class_Otimes(V_z,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),T_a),T_a) = c_HOL_Oplus__class_Oplus(V_z,V_z,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_zero__eq__power2_1,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_zero__power2_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_zero__eq__power2_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.55/1.22 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power2__abs_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) = c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_one__power2_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power2__minus_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) = c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_abs__power2_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.55/1.22 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a) = c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_even__mult__two__ex_1,axiom,
% 0.55/1.22 c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_x,tc_nat),tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_nat__mult__2__right_0,axiom,
% 0.55/1.22 c_HOL_Otimes__class_Otimes(V_z,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_z,V_z,tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_nat__mult__2_0,axiom,
% 0.55/1.22 c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_z,tc_nat) = c_HOL_Oplus__class_Oplus(V_z,V_z,tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_root4_0,axiom,
% 0.55/1.22 c_FFT__Mirabelle_Oroot(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat)) = c_Complex_Oii ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_comm__ring__1__class_Opower__minus__even_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat),T_a) = c_Power_Opower__class_Opower(V_a,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power2__sum_0,axiom,
% 0.55/1.22 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),c_Power_Opower__class_Opower(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),T_a),V_x,T_a),V_y,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_class__semiring_Osemiring__rules_I37_J_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(V_x,c_Suc(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat)),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power__odd__eq_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(V_a,c_Suc(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat)),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power__mult_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(V_a,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_a,V_m,T_a),V_n,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_class__semiring_Osemiring__rules_I29_J_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_calculation_0,axiom,
% 0.55/1.22 c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_Bit0__Pls_0,axiom,
% 0.55/1.22 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power__commutes_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_rel__simps_I39_J_0,axiom,
% 0.55/1.22 c_Int_OPls != c_Int_OBit1(V_l) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power2__eq__square__number__of_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.55/1.22 | ~ class_Int_Onumber(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_rel__simps_I46_J_0,axiom,
% 0.55/1.22 c_Int_OBit1(V_k) != c_Int_OPls ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_rel__simps_I44_J_0,axiom,
% 0.55/1.22 ( c_Int_OBit0(V_k) != c_Int_OPls
% 0.55/1.22 | V_k = c_Int_OPls ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_rel__simps_I48_J_0,axiom,
% 0.55/1.22 ( c_Int_OBit0(V_k) != c_Int_OBit0(V_l)
% 0.55/1.22 | V_k = V_l ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power__even__eq_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(V_a,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat),T_a) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_rel__simps_I50_J_0,axiom,
% 0.55/1.22 c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_rel__simps_I38_J_1,axiom,
% 0.55/1.22 c_Int_OPls = c_Int_OBit0(c_Int_OPls) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_class__semiring_Omul__a_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_nat__mult__assoc_0,axiom,
% 0.55/1.22 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power2__eq__square_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power__mult__distrib_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_class__semiring_Opwr__mul_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_mult__idem_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.55/1.22 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_mult__left__idem_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | 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) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_mult__numeral__1_0,axiom,
% 0.55/1.22 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a),V_a,T_a) = V_a ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_mult__numeral__1__right_0,axiom,
% 0.55/1.22 ( ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a),T_a) = V_a ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_rel__simps_I38_J_0,axiom,
% 0.55/1.22 ( c_Int_OPls != c_Int_OBit0(V_l)
% 0.55/1.22 | c_Int_OPls = V_l ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_rel__simps_I51_J_0,axiom,
% 0.55/1.22 ( c_Int_OBit1(V_k) != c_Int_OBit1(V_l)
% 0.55/1.22 | V_k = V_l ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_class__semiring_Opwr__pwr_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_x,V_p,T_a),V_q,T_a) = c_Power_Opower__class_Opower(V_x,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_nat),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_class__semiring_Omul__c_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_nat__mult__commute_0,axiom,
% 0.55/1.22 c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_power3__eq__cube_0,axiom,
% 0.55/1.22 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),V_a,T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_eq__number__of_0,axiom,
% 0.55/1.22 ( ~ class_Int_Oring__char__0(T_a)
% 0.55/1.22 | ~ class_Int_Onumber__ring(T_a)
% 0.55/1.22 | c_Int_Onumber__class_Onumber__of(V_x,T_a) != c_Int_Onumber__class_Onumber__of(V_y,T_a)
% 0.55/1.22 | V_x = V_y ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_class__semiring_Osemiring__rules_I36_J_0,axiom,
% 0.55/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.55/1.22 | c_Power_Opower__class_Opower(V_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_n,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_rel__simps_I49_J_0,axiom,
% 0.55/1.22 c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 0.55/1.22
% 0.55/1.22 cnf(cls_conjecture_0,negated_conjecture,
% 0.55/1.22 c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_m),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.55/1.22 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.55/1.22 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.55/1.22 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.55/1.22 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.55/1.22 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.55/1.22 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.55/1.22 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.55/1.22 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.55/1.22 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 0.55/1.22 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 0.55/1.22 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.55/1.22 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.55/1.22 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.55/1.22 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.55/1.22 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 0.55/1.22 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.55/1.22 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 0.55/1.22 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.55/1.22 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.55/1.22 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.55/1.22 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 0.55/1.22 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 0.55/1.22 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 0.55/1.22 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 0.55/1.22 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 0.55/1.22 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 0.55/1.22 class_Ring__and__Field_Osemiring(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.55/1.22 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 0.55/1.22 class_Divides_Osemiring__div(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.55/1.22 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom,
% 0.55/1.22 class_Ring__and__Field_Odvd(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.55/1.22 class_Orderings_Opreorder(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.55/1.22 class_Orderings_Olinorder(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.55/1.22 class_Orderings_Oorder(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Power_Opower,axiom,
% 0.55/1.22 class_Power_Opower(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_nat__Int_Onumber,axiom,
% 0.55/1.22 class_Int_Onumber(tc_nat) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.55/1.22 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.55/1.22 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.55/1.22 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.55/1.22 class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 0.55/1.22 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.55/1.22 class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.55/1.22 class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 0.55/1.22 class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 0.55/1.22 class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.55/1.22 class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 0.55/1.22 class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.55/1.22 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict,axiom,
% 0.55/1.22 class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom,
% 0.55/1.22 class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
% 0.55/1.22 class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add,axiom,
% 0.55/1.22 class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.55/1.22 class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__semiring,axiom,
% 0.55/1.22 class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring__abs,axiom,
% 0.55/1.22 class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring,axiom,
% 0.55/1.22 class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.55/1.22 class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom,
% 0.55/1.22 class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.55/1.22 class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.55/1.22 class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult,axiom,
% 0.55/1.22 class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom,
% 0.55/1.22 class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring,axiom,
% 0.55/1.22 class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Olordered__ring,axiom,
% 0.55/1.22 class_Ring__and__Field_Olordered__ring(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring,axiom,
% 0.55/1.22 class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.55/1.22 class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom,
% 0.55/1.22 class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__idom,axiom,
% 0.55/1.22 class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__ring__1,axiom,
% 0.55/1.22 class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__1,axiom,
% 0.55/1.22 class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__0,axiom,
% 0.55/1.22 class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono1,axiom,
% 0.55/1.22 class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
% 0.55/1.22 class_OrderedGroup_Oab__group__add(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom,
% 0.55/1.22 class_Ring__and__Field_Omult__zero(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono,axiom,
% 0.55/1.22 class_Ring__and__Field_Omult__mono(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__ring,axiom,
% 0.55/1.22 class_Ring__and__Field_Ocomm__ring(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__mult,axiom,
% 0.55/1.22 class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring,axiom,
% 0.55/1.22 class_Ring__and__Field_Osemiring(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
% 0.55/1.22 class_OrderedGroup_Omonoid__add(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
% 0.55/1.22 class_OrderedGroup_Ogroup__add(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1,axiom,
% 0.55/1.22 class_Ring__and__Field_Oring__1(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Oabs__if,axiom,
% 0.55/1.22 class_Ring__and__Field_Oabs__if(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Divides_Osemiring__div,axiom,
% 0.55/1.22 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Oring,axiom,
% 0.55/1.22 class_Ring__and__Field_Oring(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
% 0.55/1.22 class_Ring__and__Field_Oidom(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 0.55/1.22 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Ring__and__Field_Odvd,axiom,
% 0.55/1.22 class_Ring__and__Field_Odvd(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom,
% 0.55/1.22 class_Orderings_Opreorder(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom,
% 0.55/1.22 class_Orderings_Olinorder(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Divides_Oring__div,axiom,
% 0.55/1.22 class_Divides_Oring__div(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Orderings_Oorder,axiom,
% 0.55/1.22 class_Orderings_Oorder(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
% 0.55/1.22 class_Int_Oring__char__0(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
% 0.55/1.22 class_Int_Onumber__ring(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Power_Opower,axiom,
% 0.55/1.22 class_Power_Opower(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Int__Oint__Int_Onumber,axiom,
% 0.55/1.22 class_Int_Onumber(tc_Int_Oint) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 0.55/1.22 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 0.55/1.22 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.55/1.22 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.55/1.22 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.55/1.22 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
% 0.55/1.22 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.55/1.22 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 0.55/1.22 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.55/1.22 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom,
% 0.55/1.22 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
% 0.55/1.22 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
% 0.55/1.22 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
% 0.55/1.22 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
% 0.55/1.22 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.55/1.22 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom,
% 0.55/1.22 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom,
% 0.55/1.22 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__1,axiom,
% 0.55/1.22 class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0,axiom,
% 0.55/1.22 class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
% 0.55/1.22 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
% 0.55/1.22 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom,
% 0.55/1.22 class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
% 0.55/1.22 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
% 0.55/1.22 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
% 0.55/1.22 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
% 0.55/1.22 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1,axiom,
% 0.55/1.22 class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field,axiom,
% 0.55/1.22 class_RealVector_Oreal__field(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
% 0.55/1.22 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
% 0.55/1.22 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
% 0.55/1.22 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Nat_Osemiring__char__0,axiom,
% 0.55/1.22 class_Nat_Osemiring__char__0(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odvd,axiom,
% 0.55/1.22 class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Int_Oring__char__0,axiom,
% 0.55/1.22 class_Int_Oring__char__0(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 0.55/1.22 class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Power_Opower,axiom,
% 0.55/1.22 class_Power_Opower(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 cnf(clsarity_Complex__Ocomplex__Int_Onumber,axiom,
% 0.55/1.22 class_Int_Onumber(tc_Complex_Ocomplex) ).
% 0.55/1.22
% 0.55/1.22 %------------------------------------------------------------------------------
% 0.55/1.22 %-------------------------------------------
% 0.55/1.22 % Proof found
% 0.55/1.22 % SZS status Theorem for theBenchmark
% 0.55/1.22 % SZS output start Proof
% 0.55/1.22 %ClaNum:1544(EqnAxiom:118)
% 0.55/1.22 %VarNum:9052(SingletonVarNum:2734)
% 0.55/1.22 %MaxLitNum:6
% 0.55/1.22 %MaxfuncDepth:6
% 0.55/1.22 %SharedTerms:215
% 0.55/1.22 %goalClause: 367
% 0.55/1.22 %singleGoalClaCount:1
% 0.55/1.22 [123]P1(a17)
% 0.55/1.22 [124]P2(a23)
% 0.55/1.22 [125]P2(a17)
% 0.55/1.22 [126]P3(a23)
% 0.55/1.22 [127]P3(a17)
% 0.55/1.22 [128]P32(a17)
% 0.55/1.22 [129]P32(a18)
% 0.55/1.22 [130]P51(a17)
% 0.55/1.22 [131]P33(a23)
% 0.55/1.22 [132]P33(a17)
% 0.55/1.22 [133]P33(a18)
% 0.55/1.22 [134]P4(a17)
% 0.55/1.22 [135]P34(a23)
% 0.55/1.22 [136]P34(a17)
% 0.55/1.22 [137]P37(a23)
% 0.55/1.22 [138]P37(a17)
% 0.55/1.22 [139]P5(a17)
% 0.55/1.22 [140]P5(a18)
% 0.55/1.22 [141]P47(a18)
% 0.55/1.22 [142]P26(a17)
% 0.55/1.22 [143]P48(a18)
% 0.55/1.22 [144]P6(a23)
% 0.55/1.22 [145]P6(a17)
% 0.55/1.22 [146]P6(a18)
% 0.55/1.22 [147]P59(a17)
% 0.55/1.22 [148]P35(a23)
% 0.55/1.22 [149]P35(a17)
% 0.55/1.22 [150]P28(a17)
% 0.55/1.22 [151]P65(a23)
% 0.55/1.22 [152]P65(a17)
% 0.55/1.22 [153]P65(a18)
% 0.55/1.22 [154]P60(a23)
% 0.55/1.22 [155]P60(a17)
% 0.55/1.22 [156]P61(a23)
% 0.55/1.22 [157]P61(a17)
% 0.55/1.22 [158]P27(a17)
% 0.55/1.22 [159]P38(a18)
% 0.55/1.22 [160]P43(a17)
% 0.55/1.22 [161]P43(a18)
% 0.55/1.22 [162]P14(a17)
% 0.55/1.22 [163]P14(a18)
% 0.55/1.22 [164]P39(a23)
% 0.55/1.22 [165]P39(a17)
% 0.55/1.22 [166]P39(a18)
% 0.55/1.22 [167]P52(a23)
% 0.55/1.22 [168]P52(a17)
% 0.55/1.22 [169]P52(a18)
% 0.55/1.22 [170]P53(a23)
% 0.55/1.22 [171]P53(a17)
% 0.55/1.22 [172]P53(a18)
% 0.55/1.22 [173]P66(a23)
% 0.55/1.22 [174]P66(a17)
% 0.55/1.22 [175]P66(a18)
% 0.55/1.22 [176]P7(a23)
% 0.55/1.22 [177]P7(a17)
% 0.55/1.22 [178]P54(a23)
% 0.55/1.22 [179]P54(a17)
% 0.55/1.22 [180]P55(a23)
% 0.55/1.22 [181]P55(a17)
% 0.55/1.22 [182]P63(a17)
% 0.55/1.22 [183]P15(a17)
% 0.55/1.22 [184]P15(a18)
% 0.55/1.22 [185]P49(a18)
% 0.55/1.22 [186]P73(a23)
% 0.55/1.22 [187]P73(a17)
% 0.55/1.22 [188]P73(a18)
% 0.55/1.22 [189]P50(a23)
% 0.55/1.22 [190]P50(a17)
% 0.55/1.22 [191]P50(a18)
% 0.55/1.22 [192]P44(a17)
% 0.55/1.22 [193]P44(a18)
% 0.55/1.22 [194]P45(a17)
% 0.55/1.22 [195]P62(a23)
% 0.55/1.22 [196]P62(a17)
% 0.55/1.22 [197]P16(a23)
% 0.55/1.22 [198]P16(a17)
% 0.55/1.22 [199]P16(a18)
% 0.55/1.22 [200]P19(a23)
% 0.55/1.22 [201]P19(a17)
% 0.55/1.22 [202]P19(a18)
% 0.55/1.22 [203]P67(a17)
% 0.55/1.22 [204]P67(a18)
% 0.55/1.22 [205]P56(a17)
% 0.55/1.22 [206]P64(a23)
% 0.55/1.22 [207]P64(a17)
% 0.55/1.22 [208]P29(a17)
% 0.55/1.22 [209]P68(a23)
% 0.55/1.22 [210]P68(a17)
% 0.55/1.22 [211]P8(a17)
% 0.55/1.22 [212]P40(a23)
% 0.55/1.22 [213]P40(a17)
% 0.55/1.22 [214]P20(a23)
% 0.55/1.22 [215]P20(a17)
% 0.55/1.22 [216]P20(a18)
% 0.55/1.22 [217]P41(a18)
% 0.55/1.22 [218]P30(a23)
% 0.55/1.22 [219]P30(a17)
% 0.55/1.22 [220]P30(a18)
% 0.55/1.22 [221]P21(a23)
% 0.55/1.22 [222]P21(a17)
% 0.55/1.22 [223]P21(a18)
% 0.55/1.22 [224]P24(a23)
% 0.55/1.22 [225]P24(a17)
% 0.55/1.22 [226]P24(a18)
% 0.55/1.22 [227]P57(a23)
% 0.55/1.22 [228]P57(a17)
% 0.55/1.22 [229]P31(a23)
% 0.55/1.22 [230]P31(a17)
% 0.55/1.22 [231]P31(a18)
% 0.55/1.22 [232]P36(a23)
% 0.55/1.22 [233]P36(a17)
% 0.55/1.22 [234]P42(a18)
% 0.55/1.22 [235]P69(a17)
% 0.55/1.22 [236]P69(a18)
% 0.55/1.22 [237]P46(a23)
% 0.55/1.22 [238]P46(a17)
% 0.55/1.22 [239]P46(a18)
% 0.55/1.22 [240]P25(a23)
% 0.55/1.22 [241]P25(a17)
% 0.55/1.22 [242]P25(a18)
% 0.55/1.22 [243]P72(a23)
% 0.55/1.22 [244]P72(a17)
% 0.55/1.22 [245]P72(a18)
% 0.55/1.22 [246]P70(a17)
% 0.55/1.22 [247]P70(a18)
% 0.55/1.22 [248]P71(a17)
% 0.55/1.22 [249]P71(a18)
% 0.55/1.22 [250]P17(a17)
% 0.55/1.22 [251]P17(a18)
% 0.55/1.22 [252]P22(a23)
% 0.55/1.22 [253]P22(a17)
% 0.55/1.22 [254]P22(a18)
% 0.55/1.22 [343]~E(a16,a1)
% 0.55/1.22 [121]E(f2(a1),a1)
% 0.55/1.22 [122]E(f3(a16),a16)
% 0.55/1.22 [259]E(f19(a1,a23),f4(a23))
% 0.55/1.22 [260]E(f19(a16,a23),f4(a23))
% 0.55/1.22 [261]P9(f4(a23),a23)
% 0.55/1.22 [344]~E(f8(a18),a6)
% 0.55/1.22 [351]~P9(f8(a23),a23)
% 0.55/1.22 [352]~E(f19(a16,a17),f19(a1,a17))
% 0.55/1.22 [255]E(f5(f4(a23)),f8(a18))
% 0.55/1.22 [256]E(f5(f8(a23)),f8(a18))
% 0.55/1.22 [263]E(f19(f2(a16),a23),f8(a23))
% 0.55/1.22 [280]E(f13(f4(a23),f8(a23),a23),f19(f2(a16),a23))
% 0.55/1.22 [281]E(f13(f8(a23),f8(a23),a23),f19(f3(f2(a16)),a23))
% 0.55/1.22 [285]P10(f4(a23),f19(f3(f2(a16)),a23),a23)
% 0.55/1.22 [302]E(f13(f13(f4(a23),f8(a23),a23),f8(a23),a23),f19(f3(f2(a16)),a23))
% 0.55/1.22 [320]E(f14(f13(f4(a23),f8(a23),a23),f13(f4(a23),f8(a23),a23),a23),f13(f4(a23),f8(a23),a23))
% 0.55/1.22 [329]E(f13(f13(f13(f4(a23),f8(a23),a23),f8(a23),a23),f8(a23),a23),f19(f2(f2(a16)),a23))
% 0.55/1.22 [367]~E(f20(f5(f14(f19(f3(f2(a16)),a23),a24,a23)),f14(f19(f3(f2(a16)),a23),f14(a25,a26,a23),a23),a18),f20(f5(a24),f14(a25,a26,a23),a18))
% 0.55/1.22 [282]E(f21(f19(f2(f2(a16)),a23),a17),f19(f2(f2(a16)),a17))
% 0.55/1.22 [283]E(f21(f19(f3(f2(a16)),a23),a17),f19(f3(f2(a16)),a17))
% 0.55/1.22 [284]E(f5(f19(f3(f3(f2(a16))),a23)),a6)
% 0.55/1.22 [341]E(f20(f5(f14(f19(f3(f2(a16)),a23),a24,a23)),f14(f19(f3(f2(a16)),a23),f14(a25,a26,a23),a23),a18),f20(f5(f14(f19(f3(f2(a16)),a23),a24,a23)),f14(a25,f14(f19(f3(f2(a16)),a23),a26,a23),a23),a18))
% 0.55/1.22 [264]P12(x2641,x2641,a23)
% 0.55/1.22 [354]~P10(x3541,x3541,a23)
% 0.55/1.22 [257]E(f19(x2571,a17),x2571)
% 0.55/1.22 [265]P12(x2651,f4(a23),a23)
% 0.55/1.22 [266]P12(f8(a23),x2661,a23)
% 0.55/1.22 [347]~E(f2(x3471),a16)
% 0.55/1.22 [348]~E(f3(x3481),a1)
% 0.55/1.22 [356]~P10(x3561,f4(a23),a23)
% 0.55/1.22 [268]E(f14(x2681,f8(a23),a23),x2681)
% 0.55/1.22 [269]E(f13(x2691,f4(a23),a23),x2691)
% 0.55/1.22 [270]E(f14(f8(a23),x2701,a23),x2701)
% 0.55/1.22 [271]E(f13(f4(a23),x2711,a23),x2711)
% 0.55/1.22 [272]E(f14(x2721,f4(a23),a23),f4(a23))
% 0.55/1.22 [273]E(f14(f4(a23),x2731,a23),f4(a23))
% 0.55/1.22 [275]E(f20(f5(x2751),x2751,a18),f8(a18))
% 0.55/1.22 [295]P10(x2951,f13(x2951,f8(a23),a23),a23)
% 0.55/1.22 [297]P10(f4(a23),f13(x2971,f8(a23),a23),a23)
% 0.55/1.22 [298]P12(f13(f4(a23),f8(a23),a23),x2981,a23)
% 0.55/1.22 [358]~E(f13(x3581,f8(a23),a23),x3581)
% 0.55/1.22 [362]~E(f13(x3621,f8(a23),a23),f4(a23))
% 0.55/1.22 [366]~P9(f13(f14(f19(f3(f2(a16)),a23),x3661,a23),f8(a23),a23),a23)
% 0.55/1.22 [368]~P9(f13(f14(f13(f13(f4(a23),f8(a23),a23),f8(a23),a23),x3681,a23),f8(a23),a23),a23)
% 0.55/1.22 [299]E(f7(x2991,f13(f4(a23),f8(a23),a23),a23),f4(a23))
% 0.55/1.22 [335]P9(f14(f13(f13(f4(a23),f8(a23),a23),f8(a23),a23),x3351,a23),a23)
% 0.55/1.22 [291]E(f14(x2911,f19(f3(f2(a16)),a23),a23),f13(x2911,x2911,a23))
% 0.55/1.22 [292]E(f14(f19(f3(f2(a16)),a23),x2921,a23),f13(x2921,x2921,a23))
% 0.55/1.22 [303]P9(f14(f19(f3(f2(a16)),a23),x3031,a23),a23)
% 0.55/1.22 [308]E(f13(f13(x3081,f8(a23),a23),f8(a23),a23),f13(x3081,f19(f3(f2(a16)),a23),a23))
% 0.55/1.22 [309]E(f13(f13(x3091,f8(a23),a23),f8(a23),a23),f13(f19(f3(f2(a16)),a23),x3091,a23))
% 0.55/1.22 [330]E(f13(f13(f13(x3301,f8(a23),a23),f8(a23),a23),f8(a23),a23),f13(f19(f2(f2(a16)),a23),x3301,a23))
% 0.55/1.22 [333]E(f7(f13(f13(x3331,f8(a23),a23),f8(a23),a23),f19(f3(f2(a16)),a23),a23),f7(x3331,f19(f3(f2(a16)),a23),a23))
% 0.55/1.22 [286]E(f14(x2861,x2862,a23),f14(x2862,x2861,a23))
% 0.55/1.22 [287]E(f13(x2871,x2872,a23),f13(x2872,x2871,a23))
% 0.55/1.22 [350]~E(f3(x3501),f2(x3502))
% 0.55/1.22 [364]~P10(f13(x3641,x3642,a23),x3642,a23)
% 0.55/1.22 [365]~P10(f13(x3651,x3652,a23),x3651,a23)
% 0.55/1.22 [288]E(f14(x2881,f4(a23),a23),f14(x2882,f4(a23),a23))
% 0.55/1.22 [290]E(f14(f4(a23),x2901,a23),f14(f4(a23),x2902,a23))
% 0.55/1.22 [293]E(f7(f14(x2931,x2932,a23),x2931,a23),f4(a23))
% 0.55/1.22 [310]P12(f14(f4(a23),x3101,a23),f14(f4(a23),x3102,a23),a23)
% 0.55/1.22 [321]P10(x3211,f13(f13(x3212,x3211,a23),f8(a23),a23),a23)
% 0.55/1.22 [323]P10(x3231,f13(f13(x3231,x3232,a23),f8(a23),a23),a23)
% 0.55/1.22 [315]E(f14(x3151,f13(x3152,f8(a23),a23),a23),f13(x3151,f14(x3151,x3152,a23),a23))
% 0.55/1.22 [316]E(f14(f13(x3161,f8(a23),a23),x3162,a23),f13(x3162,f14(x3161,x3162,a23),a23))
% 0.55/1.22 [318]E(f13(f13(x3181,f8(a23),a23),x3182,a23),f13(f13(x3181,x3182,a23),f8(a23),a23))
% 0.55/1.22 [319]E(f13(f13(x3191,f8(a23),a23),x3192,a23),f13(x3191,f13(x3192,f8(a23),a23),a23))
% 0.55/1.22 [334]E(f7(f13(f7(x3341,x3342,a23),f8(a23),a23),x3342,a23),f7(f13(x3341,f8(a23),a23),x3342,a23))
% 0.55/1.22 [338]E(f7(x3381,f13(f13(f13(x3382,f8(a23),a23),f8(a23),a23),f8(a23),a23),a23),f7(x3381,f13(f19(f2(f2(a16)),a23),x3382,a23),a23))
% 0.55/1.22 [339]E(f7(f13(f13(f13(x3391,f8(a23),a23),f8(a23),a23),f8(a23),a23),x3392,a23),f7(f13(f19(f2(f2(a16)),a23),x3391,a23),x3392,a23))
% 0.55/1.22 [312]E(f13(x3121,f13(x3122,x3123,a23),a23),f13(x3122,f13(x3121,x3123,a23),a23))
% 0.55/1.22 [313]E(f14(f14(x3131,x3132,a23),x3133,a23),f14(x3131,f14(x3132,x3133,a23),a23))
% 0.55/1.22 [314]E(f13(f13(x3141,x3142,a23),x3143,a23),f13(x3141,f13(x3142,x3143,a23),a23))
% 0.55/1.22 [325]E(f13(f14(x3251,x3252,a23),f14(x3251,x3253,a23),a23),f14(x3251,f13(x3252,x3253,a23),a23))
% 0.55/1.22 [326]E(f7(f14(x3261,x3262,a23),f14(x3261,x3263,a23),a23),f14(x3261,f7(x3262,x3263,a23),a23))
% 0.55/1.22 [327]E(f13(f14(x3271,x3272,a23),f14(x3273,x3272,a23),a23),f14(f13(x3271,x3273,a23),x3272,a23))
% 0.55/1.22 [328]E(f7(f14(x3281,x3282,a23),f14(x3283,x3282,a23),a23),f14(f7(x3281,x3283,a23),x3282,a23))
% 0.55/1.22 [324]E(f7(f13(f14(x3241,x3242,a23),x3243,a23),x3242,a23),f7(x3243,x3242,a23))
% 0.55/1.22 [337]E(f7(f13(f13(f14(x3371,x3372,a23),x3373,a23),f8(a23),a23),x3372,a23),f7(f13(x3373,f8(a23),a23),x3372,a23))
% 0.55/1.22 [336]E(f13(f14(x3361,x3362,a23),f13(f14(x3363,x3362,a23),x3364,a23),a23),f13(f14(f13(x3361,x3363,a23),x3362,a23),x3364,a23))
% 0.55/1.22 [369]E(x3691,a1)+~E(f2(x3691),a1)
% 0.55/1.22 [370]E(x3701,a16)+~E(f3(x3701),a16)
% 0.55/1.22 [371]E(a1,x3711)+~E(f2(x3711),a1)
% 0.55/1.22 [372]E(a16,x3721)+~E(f3(x3721),a16)
% 0.55/1.22 [376]~P65(x3761)+~E(f8(x3761),f4(x3761))
% 0.55/1.22 [378]~P15(x3781)+E(f19(a16,x3781),f4(x3781))
% 0.55/1.22 [379]~P73(x3791)+P11(f4(x3791),x3791)
% 0.55/1.22 [395]~P73(x3951)+~P11(f8(x3951),x3951)
% 0.55/1.22 [404]~P15(x4041)+P11(f19(a16,x4041),x4041)
% 0.55/1.22 [418]E(x4181,f4(a23))+P10(f4(a23),x4181,a23)
% 0.55/1.22 [435]~P15(x4351)+~P11(f19(a1,x4351),x4351)
% 0.55/1.22 [456]P9(x4561,a23)+P10(f4(a23),x4561,a23)
% 0.55/1.22 [476]~P60(x4761)+P13(f4(x4761),f8(x4761),x4761)
% 0.55/1.22 [477]~P60(x4771)+P10(f4(x4771),f8(x4771),x4771)
% 0.55/1.22 [510]E(x5101,f8(a23))+~P12(x5101,f8(a23),a23)
% 0.55/1.22 [554]~P60(x5541)+~P13(f8(x5541),f4(x5541),x5541)
% 0.55/1.22 [555]~P60(x5551)+~P10(f8(x5551),f4(x5551),x5551)
% 0.55/1.22 [381]~P15(x3811)+E(f19(f2(a16),x3811),f8(x3811))
% 0.55/1.22 [382]~P73(x3821)+E(f21(f4(a23),x3821),f4(x3821))
% 0.55/1.22 [383]~P73(x3831)+E(f21(f8(a23),x3831),f8(x3831))
% 0.55/1.22 [385]~P4(x3851)+E(f9(f4(x3851),x3851),f4(x3851))
% 0.55/1.22 [386]~P51(x3861)+E(f9(f8(x3861),x3861),f8(x3861))
% 0.55/1.22 [387]~P5(x3871)+E(f15(f4(x3871),x3871),f4(x3871))
% 0.55/1.22 [388]~P29(x3881)+E(f15(f4(x3881),x3881),f4(x3881))
% 0.55/1.22 [389]~P48(x3891)+E(f10(f4(x3891),x3891),f4(x3891))
% 0.55/1.22 [390]~P49(x3901)+E(f10(f8(x3901),x3901),f8(x3901))
% 0.55/1.22 [397]~P15(x3971)+E(f15(f8(x3971),x3971),f19(a1,x3971))
% 0.55/1.22 [480]~P27(x4801)+E(f13(f4(x4801),f4(x4801),x4801),f4(x4801))
% 0.55/1.22 [485]~P15(x4851)+~P11(f19(f2(a16),x4851),x4851)
% 0.55/1.22 [541]~P4(x5411)+P13(f9(f4(x5411),x5411),f4(x5411),x5411)
% 0.55/1.22 [590]~P9(x5901,a23)+E(f14(f19(f3(f2(a16)),a23),f22(x5901),a23),x5901)
% 0.55/1.22 [599]P9(x5991,a23)+P9(f13(x5991,f8(a23),a23),a23)
% 0.55/1.22 [641]~P4(x6411)+~P10(f4(x6411),f9(f4(x6411),x6411),x6411)
% 0.55/1.22 [754]~P60(x7541)+P10(f4(x7541),f13(f8(x7541),f8(x7541),x7541),x7541)
% 0.55/1.22 [786]~P9(x7861,a23)+~P9(f13(x7861,f8(a23),a23),a23)
% 0.55/1.22 [870]~P10(f4(a23),x8701,a23)+P12(f14(x8701,f8(a23),a23),x8701,a23)
% 0.55/1.22 [871]~P10(f4(a23),x8711,a23)+P12(f14(f8(a23),x8711,a23),x8711,a23)
% 0.55/1.22 [882]E(x8821,f4(a23))+~P10(x8821,f13(f4(a23),f8(a23),a23),a23)
% 0.55/1.22 [980]~P12(x9801,f13(f4(a23),f8(a23),a23),a23)+E(x9801,f13(f4(a23),f8(a23),a23))
% 0.55/1.22 [533]~P15(x5331)+E(f13(f8(x5331),f8(x5331),x5331),f19(f3(f2(a16)),x5331))
% 0.55/1.22 [583]~P9(x5831,a23)+P12(f19(f3(f2(a16)),a23),x5831,a23)
% 0.55/1.22 [665]P9(x6651,a23)+~P12(f19(f3(f2(a16)),a23),x6651,a23)
% 0.55/1.22 [984]~P59(x9841)+E(f13(f14(f4(x9841),f4(x9841),x9841),f14(f4(x9841),f4(x9841),x9841),x9841),f4(x9841))
% 0.55/1.22 [1154]~P9(x11541,a23)+E(f7(x11541,f13(f13(f4(a23),f8(a23),a23),f8(a23),a23),a23),f4(a23))
% 0.55/1.22 [1250]P9(x12501,a23)+E(f7(x12501,f13(f13(f4(a23),f8(a23),a23),f8(a23),a23),a23),f13(f4(a23),f8(a23),a23))
% 0.55/1.22 [1390]P9(x13901,a23)+~E(f7(x13901,f13(f13(f4(a23),f8(a23),a23),f8(a23),a23),a23),f4(a23))
% 0.55/1.22 [1417]~P59(x14171)+P13(f13(f14(f4(x14171),f4(x14171),x14171),f14(f4(x14171),f4(x14171),x14171),x14171),f4(x14171),x14171)
% 0.55/1.22 [1437]~P9(x14371,a23)+~E(f7(x14371,f13(f13(f4(a23),f8(a23),a23),f8(a23),a23),a23),f13(f4(a23),f8(a23),a23))
% 0.55/1.22 [1519]~P59(x15191)+~P10(f4(x15191),f13(f14(f4(x15191),f4(x15191),x15191),f14(f4(x15191),f4(x15191),x15191),x15191),x15191)
% 0.55/1.22 [575]~P51(x5751)+E(f20(f4(x5751),f19(f3(f2(a16)),a23),x5751),f4(x5751))
% 0.55/1.22 [576]~P73(x5761)+E(f20(f4(x5761),f19(f3(f2(a16)),a23),x5761),f4(x5761))
% 0.55/1.22 [577]~P73(x5771)+E(f20(f8(x5771),f19(f3(f2(a16)),a23),x5771),f8(x5771))
% 0.55/1.22 [1153]P10(f4(a23),f7(x11531,f19(f3(f2(a16)),a23),a23),a23)+~E(f7(x11531,f19(f3(f2(a16)),a23),a23),f8(a23))
% 0.55/1.22 [1196]~P51(x11961)+~P10(f4(x11961),f20(f4(x11961),f19(f3(f2(a16)),a23),x11961),x11961)
% 0.55/1.22 [1270]~P10(f4(a23),f7(x12701,f19(f3(f2(a16)),a23),a23),a23)+E(f7(x12701,f19(f3(f2(a16)),a23),a23),f8(a23))
% 0.55/1.22 [955]~P9(x9551,a23)+P9(f7(x9551,f19(f3(f3(f2(a16))),a23),a23),a23)
% 0.55/1.22 [1239]P9(x12391,a23)+~P9(f7(x12391,f19(f3(f3(f2(a16))),a23),a23),a23)
% 0.55/1.22 [1268]~P51(x12681)+E(f13(f20(f4(x12681),f19(f3(f2(a16)),a23),x12681),f20(f4(x12681),f19(f3(f2(a16)),a23),x12681),x12681),f4(x12681))
% 0.55/1.22 [1509]~P51(x15091)+P13(f13(f20(f4(x15091),f19(f3(f2(a16)),a23),x15091),f20(f4(x15091),f19(f3(f2(a16)),a23),x15091),x15091),f4(x15091),x15091)
% 0.55/1.22 [1529]~P51(x15291)+~P10(f4(x15291),f13(f20(f4(x15291),f19(f3(f2(a16)),a23),x15291),f20(f4(x15291),f19(f3(f2(a16)),a23),x15291),x15291),x15291)
% 0.55/1.22 [424]~P37(x4242)+P13(x4241,x4241,x4242)
% 0.55/1.22 [425]~P40(x4252)+P13(x4251,x4251,x4252)
% 0.55/1.22 [426]~P33(x4262)+P12(x4261,x4261,x4262)
% 0.55/1.22 [514]~P10(x5142,x5142,x5141)+~P34(x5141)
% 0.55/1.22 [515]~P10(x5152,x5152,x5151)+~P37(x5151)
% 0.55/1.22 [516]~P10(x5162,x5162,x5161)+~P40(x5161)
% 0.55/1.22 [373]E(x3731,x3732)+~E(f2(x3731),f2(x3732))
% 0.55/1.22 [374]E(x3741,x3742)+~E(f3(x3741),f3(x3742))
% 0.55/1.22 [403]E(x4031,x4032)+~E(f21(x4031,a17),f21(x4032,a17))
% 0.55/1.22 [427]~P23(x4272)+E(f14(x4271,x4271,x4272),x4271)
% 0.55/1.22 [429]~P7(x4292)+E(f7(x4291,x4291,x4292),f4(x4292))
% 0.55/1.22 [431]~P5(x4312)+E(f12(x4311,x4311,x4312),f4(x4312))
% 0.55/1.22 [432]~P14(x4322)+E(f12(x4321,x4321,x4322),f4(x4322))
% 0.55/1.22 [436]~P33(x4362)+P12(x4361,f4(x4362),x4362)
% 0.55/1.22 [437]~P33(x4371)+P12(f8(x4371),x4372,x4371)
% 0.55/1.22 [495]~P4(x4952)+P13(x4951,f9(x4951,x4952),x4952)
% 0.55/1.22 [497]~E(f13(x4972,x4971,a23),x4972)+E(x4971,f4(a23))
% 0.55/1.22 [502]E(x5021,f4(a23))+~E(f13(x5022,x5021,a23),f4(a23))
% 0.55/1.22 [503]E(x5031,f8(a23))+~E(f14(x5032,x5031,a23),f8(a23))
% 0.55/1.22 [504]E(x5041,f4(a23))+~E(f13(x5041,x5042,a23),f4(a23))
% 0.55/1.22 [505]E(x5051,f8(a23))+~E(f14(x5051,x5052,a23),f8(a23))
% 0.55/1.22 [517]~P4(x5171)+P13(f4(x5171),f9(x5172,x5171),x5171)
% 0.55/1.22 [519]~P60(x5191)+P13(f4(x5191),f21(x5192,x5191),x5191)
% 0.55/1.22 [557]~P4(x5572)+P13(f15(x5571,x5572),f9(x5571,x5572),x5572)
% 0.55/1.22 [600]~P9(x6002,a23)+P9(f14(x6001,x6002,a23),a23)
% 0.55/1.22 [601]~P9(x6011,a23)+P9(f14(x6011,x6012,a23),a23)
% 0.55/1.22 [603]~P10(x6031,x6032,a23)+E(f7(x6031,x6032,a23),x6031)
% 0.55/1.22 [615]~P4(x6151)+~P10(f9(x6152,x6151),f4(x6151),x6151)
% 0.55/1.22 [616]~P60(x6161)+~P10(f21(x6162,x6161),f4(x6161),x6161)
% 0.55/1.22 [676]~P59(x6761)+P13(f4(x6761),f14(x6762,x6762,x6761),x6761)
% 0.55/1.22 [857]~P12(x8571,x8572,a23)+P12(x8571,f13(x8572,x8571,a23),a23)
% 0.55/1.22 [863]P10(f7(x8631,x8632,a23),x8632,a23)+~P10(f4(a23),x8632,a23)
% 0.55/1.22 [893]~P59(x8931)+~P10(f14(x8932,x8932,x8931),f4(x8931),x8931)
% 0.55/1.22 [942]P12(x9421,x9422,a23)+~P12(x9421,f13(x9422,x9421,a23),a23)
% 0.55/1.22 [958]P10(f4(a23),x9581,a23)+~P10(f4(a23),f14(x9582,x9581,a23),a23)
% 0.55/1.22 [959]P10(f4(a23),x9591,a23)+~P10(f4(a23),f14(x9591,x9592,a23),a23)
% 0.55/1.22 [407]~P18(x4072)+E(f15(f15(x4071,x4072),x4072),x4071)
% 0.55/1.22 [409]~P5(x4092)+E(f15(f15(x4091,x4092),x4092),x4091)
% 0.55/1.22 [421]~P4(x4212)+E(f9(f9(x4211,x4212),x4212),f9(x4211,x4212))
% 0.55/1.22 [422]~P4(x4222)+E(f9(f15(x4221,x4222),x4222),f9(x4221,x4222))
% 0.55/1.22 [423]~P51(x4232)+E(f9(f21(x4231,x4232),x4232),f21(x4231,x4232))
% 0.55/1.22 [433]~P33(x4332)+E(f20(x4331,f8(a23),x4332),x4331)
% 0.55/1.22 [434]~P30(x4342)+E(f20(x4341,f8(a23),x4342),x4341)
% 0.55/1.22 [438]~P33(x4382)+E(f14(x4381,f8(x4382),x4382),x4381)
% 0.55/1.22 [439]~P30(x4392)+E(f14(x4391,f8(x4392),x4392),x4391)
% 0.55/1.22 [440]~P33(x4402)+E(f13(x4401,f4(x4402),x4402),x4401)
% 0.55/1.22 [441]~P19(x4412)+E(f13(x4411,f4(x4412),x4412),x4411)
% 0.55/1.22 [442]~P31(x4422)+E(f13(x4421,f4(x4422),x4422),x4421)
% 0.55/1.22 [443]~P47(x4432)+E(f11(x4431,f8(x4432),x4432),x4431)
% 0.55/1.22 [444]~P7(x4442)+E(f7(x4441,f4(x4442),x4442),x4441)
% 0.55/1.22 [445]~P5(x4452)+E(f12(x4451,f4(x4452),x4452),x4451)
% 0.55/1.22 [447]~P33(x4471)+E(f14(f8(x4471),x4472,x4471),x4472)
% 0.55/1.22 [448]~P30(x4481)+E(f14(f8(x4481),x4482,x4481),x4482)
% 0.55/1.22 [449]~P25(x4491)+E(f14(f8(x4491),x4492,x4491),x4492)
% 0.55/1.22 [451]~P33(x4511)+E(f13(f4(x4511),x4512,x4511),x4512)
% 0.55/1.22 [452]~P19(x4521)+E(f13(f4(x4521),x4522,x4521),x4522)
% 0.55/1.22 [453]~P31(x4531)+E(f13(f4(x4531),x4532,x4531),x4532)
% 0.55/1.22 [454]~P33(x4542)+E(f20(x4541,f4(a23),x4542),f8(x4542))
% 0.55/1.22 [455]~P39(x4552)+E(f20(x4551,f4(a23),x4552),f8(x4552))
% 0.55/1.22 [459]~P33(x4592)+E(f14(x4591,f4(x4592),x4592),f4(x4592))
% 0.55/1.22 [460]~P53(x4602)+E(f14(x4601,f4(x4602),x4602),f4(x4602))
% 0.55/1.22 [462]~P41(x4622)+E(f14(x4621,f4(x4622),x4622),f4(x4622))
% 0.55/1.22 [463]~P69(x4632)+E(f14(x4631,f4(x4632),x4632),f4(x4632))
% 0.55/1.22 [464]~P7(x4642)+E(f7(x4641,f8(x4642),x4642),f4(x4642))
% 0.55/1.22 [466]~P33(x4661)+E(f14(f4(x4661),x4662,x4661),f4(x4661))
% 0.55/1.22 [467]~P53(x4671)+E(f14(f4(x4671),x4672,x4671),f4(x4671))
% 0.55/1.22 [469]~P41(x4691)+E(f14(f4(x4691),x4692,x4691),f4(x4691))
% 0.55/1.22 [470]~P69(x4701)+E(f14(f4(x4701),x4702,x4701),f4(x4701))
% 0.55/1.22 [471]~P30(x4711)+E(f20(f8(x4711),x4712,x4711),f8(x4711))
% 0.55/1.22 [472]~P47(x4721)+E(f11(f4(x4721),x4722,x4721),f4(x4721))
% 0.55/1.22 [473]~P38(x4731)+E(f11(f4(x4731),x4732,x4731),f4(x4731))
% 0.55/1.22 [474]~P7(x4741)+E(f7(f4(x4741),x4742,x4741),f4(x4741))
% 0.55/1.22 [486]~P47(x4861)+E(f11(f8(x4861),x4862,x4861),f10(x4862,x4861))
% 0.55/1.22 [487]~P5(x4871)+E(f12(f4(x4871),x4872,x4871),f15(x4872,x4871))
% 0.55/1.22 [492]~P15(x4922)+E(f13(x4921,f19(a16,x4922),x4922),x4921)
% 0.55/1.22 [493]~P15(x4931)+E(f13(f19(a16,x4931),x4932,x4931),x4932)
% 0.55/1.22 [506]~P5(x5062)+E(f13(x5061,f15(x5061,x5062),x5062),f4(x5062))
% 0.55/1.22 [508]~P5(x5082)+E(f13(f15(x5081,x5082),x5081,x5082),f4(x5082))
% 0.55/1.22 [509]~P14(x5092)+E(f13(f15(x5091,x5092),x5091,x5092),f4(x5092))
% 0.55/1.22 [530]~P15(x5302)+E(f14(x5301,f19(a1,x5302),x5302),f15(x5301,x5302))
% 0.55/1.22 [531]~P15(x5311)+E(f14(f19(a1,x5311),x5312,x5311),f15(x5312,x5311))
% 0.55/1.22 [617]~P4(x6172)+P13(f15(f9(x6171,x6172),x6172),f4(x6172),x6172)
% 0.55/1.22 [647]~P51(x6472)+E(f14(f9(x6471,x6472),f9(x6471,x6472),x6472),f14(x6471,x6471,x6472))
% 0.55/1.22 [649]~P32(x6492)+E(f14(f15(x6491,x6492),f15(x6491,x6492),x6492),f14(x6491,x6491,x6492))
% 0.55/1.22 [697]~P60(x6972)+P10(x6971,f13(x6971,f8(x6972),x6972),x6972)
% 0.55/1.22 [698]~P51(x6981)+P10(f4(x6981),f20(x6982,f4(a23),x6981),x6981)
% 0.55/1.22 [803]P10(x8031,x8032,a23)+P10(x8032,f13(x8031,f8(a23),a23),a23)
% 0.55/1.22 [843]E(x8431,f13(f4(a23),f8(a23),a23))+~E(f14(x8432,x8431,a23),f13(f4(a23),f8(a23),a23))
% 0.55/1.22 [844]E(x8441,f13(f4(a23),f8(a23),a23))+~E(f14(x8441,x8442,a23),f13(f4(a23),f8(a23),a23))
% 0.55/1.22 [847]~P15(x8471)+E(f14(f13(f8(x8471),f8(x8471),x8471),f19(x8472,x8471),x8471),f19(f3(x8472),x8471))
% 0.55/1.22 [906]~P15(x9061)+E(f13(f13(f8(x9061),f19(x9062,x9061),x9061),f19(x9062,x9061),x9061),f19(f2(x9062),x9061))
% 0.55/1.22 [907]~P15(x9071)+E(f13(f13(f4(x9071),f19(x9072,x9071),x9071),f19(x9072,x9071),x9071),f19(f3(x9072),x9071))
% 0.55/1.22 [912]~P51(x9121)+~P13(f20(x9122,f4(a23),x9121),f4(x9121),x9121)
% 0.55/1.22 [1021]~P10(x10211,x10212,a23)+~P10(x10212,f13(x10211,f8(a23),a23),a23)
% 0.55/1.22 [1258]P10(x12581,x12582,a23)+~P10(f13(x12581,f8(a23),a23),f13(x12582,f8(a23),a23),a23)
% 0.55/1.22 [522]~P15(x5222)+E(f14(x5221,f19(f2(a16),x5222),x5222),x5221)
% 0.55/1.22 [523]~P15(x5231)+E(f14(f19(f2(a16),x5231),x5232,x5231),x5232)
% 0.55/1.22 [558]~P15(x5581)+E(f14(f15(f8(x5581),x5581),x5582,x5581),f15(x5582,x5581))
% 0.55/1.22 [811]~P73(x8111)+E(f13(f8(x8111),f21(x8112,x8111),x8111),f21(f13(x8112,f8(a23),a23),x8111))
% 0.55/1.22 [865]~P33(x8652)+E(f13(x8651,x8651,x8652),f14(f13(f8(x8652),f8(x8652),x8652),x8651,x8652))
% 0.55/1.22 [1155]~E(f13(f7(x11551,x11552,a23),f8(a23),a23),x11552)+E(f7(f13(x11551,f8(a23),a23),x11552,a23),f4(a23))
% 0.55/1.22 [1241]~P10(f8(a23),x12411,a23)+E(f7(f13(f14(x12411,x12412,a23),f8(a23),a23),x12411,a23),f8(a23))
% 0.55/1.22 [1259]E(f13(f7(x12591,x12592,a23),f8(a23),a23),x12592)+E(f7(f13(x12591,f8(a23),a23),x12592,a23),f13(f7(x12591,x12592,a23),f8(a23),a23))
% 0.55/1.22 [1379]~P15(x13791)+E(f20(f19(a1,x13791),f13(f14(f19(f3(f2(a16)),a23),x13792,a23),f8(a23),a23),x13791),f19(a1,x13791))
% 0.55/1.22 [1386]~P43(x13861)+E(f20(f15(f8(x13861),x13861),f13(f14(f19(f3(f2(a16)),a23),x13862,a23),f8(a23),a23),x13861),f15(f8(x13861),x13861))
% 0.55/1.22 [642]~P33(x6422)+E(f14(x6421,x6421,x6422),f20(x6421,f19(f3(f2(a16)),a23),x6422))
% 0.55/1.22 [643]~P30(x6432)+E(f20(x6431,f19(f3(f2(a16)),a23),x6432),f14(x6431,x6431,x6432))
% 0.55/1.22 [644]~P15(x6442)+E(f14(x6441,f19(f3(f2(a16)),x6442),x6442),f13(x6441,x6441,x6442))
% 0.55/1.22 [645]~P15(x6451)+E(f14(f19(f3(f2(a16)),x6451),x6452,x6451),f13(x6452,x6452,x6451))
% 0.55/1.22 [845]~P51(x8452)+E(f20(f9(x8451,x8452),f19(f3(f2(a16)),a23),x8452),f20(x8451,f19(f3(f2(a16)),a23),x8452))
% 0.55/1.22 [846]~P43(x8462)+E(f20(f15(x8461,x8462),f19(f3(f2(a16)),a23),x8462),f20(x8461,f19(f3(f2(a16)),a23),x8462))
% 0.55/1.22 [881]~P51(x8811)+P13(f4(x8811),f20(x8812,f19(f3(f2(a16)),a23),x8811),x8811)
% 0.55/1.22 [883]~P30(x8832)+E(f20(x8831,f19(f2(f2(a16)),a23),x8832),f14(f14(x8831,x8831,x8832),x8831,x8832))
% 0.55/1.22 [1156]~P51(x11561)+~P10(f20(x11562,f19(f3(f2(a16)),a23),x11561),f4(x11561),x11561)
% 0.55/1.22 [918]~P15(x9181)+E(f20(f19(a1,x9181),f14(f19(f3(f2(a16)),a23),x9182,a23),x9181),f8(x9181))
% 0.55/1.22 [950]~P43(x9501)+E(f20(f15(f8(x9501),x9501),f14(f19(f3(f2(a16)),a23),x9502,a23),x9501),f8(x9501))
% 0.55/1.22 [973]~P51(x9732)+E(f9(f20(x9731,f19(f3(f2(a16)),a23),x9732),x9732),f20(x9731,f19(f3(f2(a16)),a23),x9732))
% 0.55/1.22 [563]~P33(x5633)+E(f14(x5631,x5632,x5633),f14(x5632,x5631,x5633))
% 0.55/1.22 [565]~P33(x5653)+E(f13(x5651,x5652,x5653),f13(x5652,x5651,x5653))
% 0.55/1.22 [566]~P19(x5663)+E(f13(x5661,x5662,x5663),f13(x5662,x5661,x5663))
% 0.55/1.22 [651]E(x6511,x6512)+~E(f13(x6513,x6511,a23),f13(x6513,x6512,a23))
% 0.55/1.22 [652]E(x6521,x6522)+~E(f13(x6521,x6523,a23),f13(x6522,x6523,a23))
% 0.55/1.22 [653]~P33(x6533)+P12(x6531,f14(x6532,x6531,x6533),x6533)
% 0.55/1.22 [654]~P33(x6543)+P12(x6541,f14(x6541,x6542,x6543),x6543)
% 0.55/1.22 [655]~P50(x6553)+P12(x6551,f14(x6551,x6552,x6553),x6553)
% 0.55/1.22 [854]~P10(x8541,x8543,a23)+P10(x8541,f13(x8542,x8543,a23),a23)
% 0.55/1.22 [856]~P10(x8561,x8562,a23)+P10(x8561,f13(x8562,x8563,a23),a23)
% 0.55/1.22 [943]P10(x9431,x9432,a23)+~P10(f13(x9431,x9433,a23),x9432,a23)
% 0.55/1.22 [1030]~P10(x10301,x10303,a23)+P10(f13(x10301,x10302,a23),f13(x10303,x10302,a23),a23)
% 0.55/1.22 [1031]~P10(x10312,x10313,a23)+P10(f13(x10311,x10312,a23),f13(x10311,x10313,a23),a23)
% 0.55/1.22 [1032]~P12(x10322,x10323,a23)+P12(f14(x10321,x10322,a23),f14(x10321,x10323,a23),a23)
% 0.55/1.22 [1242]P10(x12421,x12422,a23)+~P10(f14(x12423,x12421,a23),f14(x12423,x12422,a23),a23)
% 0.55/1.22 [1243]P10(x12431,x12432,a23)+~P10(f14(x12431,x12433,a23),f14(x12432,x12433,a23),a23)
% 0.55/1.22 [1244]P10(x12441,x12442,a23)+~P10(f13(x12443,x12441,a23),f13(x12443,x12442,a23),a23)
% 0.55/1.22 [1248]~P10(f14(x12482,x12481,a23),f14(x12483,x12481,a23),a23)+P10(f4(a23),x12481,a23)
% 0.55/1.22 [1249]~P10(f14(x12491,x12492,a23),f14(x12491,x12493,a23),a23)+P10(f4(a23),x12491,a23)
% 0.55/1.22 [606]~P47(x6063)+E(f14(x6061,f10(x6062,x6063),x6063),f11(x6061,x6062,x6063))
% 0.55/1.22 [607]~P5(x6073)+E(f13(x6071,f15(x6072,x6073),x6073),f12(x6071,x6072,x6073))
% 0.55/1.22 [609]~P14(x6093)+E(f13(x6091,f15(x6092,x6093),x6093),f12(x6091,x6092,x6093))
% 0.55/1.22 [610]~P15(x6103)+E(f13(x6101,f15(x6102,x6103),x6103),f12(x6101,x6102,x6103))
% 0.55/1.22 [611]~P5(x6113)+E(f12(x6111,f15(x6112,x6113),x6113),f13(x6111,x6112,x6113))
% 0.55/1.22 [646]~P67(x6462)+E(f14(f15(x6461,x6462),x6463,x6462),f14(x6461,f15(x6463,x6462),x6462))
% 0.55/1.22 [648]~P67(x6482)+E(f14(f15(x6481,x6482),f15(x6483,x6482),x6482),f14(x6481,x6483,x6482))
% 0.55/1.22 [656]~P5(x6563)+E(f13(f12(x6561,x6562,x6563),x6562,x6563),x6561)
% 0.55/1.22 [657]~P5(x6573)+E(f12(f13(x6571,x6572,x6573),x6572,x6573),x6571)
% 0.55/1.22 [666]~P7(x6663)+E(f7(f14(x6661,x6662,x6663),x6662,x6663),f4(x6663))
% 0.55/1.22 [667]~P7(x6673)+E(f7(f14(x6671,x6672,x6673),x6671,x6673),f4(x6673))
% 0.55/1.22 [706]~P14(x7063)+E(f15(f12(x7061,x7062,x7063),x7063),f12(x7062,x7061,x7063))
% 0.55/1.22 [742]~P14(x7422)+E(f13(f15(x7421,x7422),f13(x7423,x7421,x7422),x7422),x7423)
% 0.55/1.22 [743]~P5(x7432)+E(f13(f15(x7431,x7432),f13(x7431,x7433,x7432),x7432),x7433)
% 0.55/1.22 [765]~P67(x7653)+E(f14(x7651,f15(x7652,x7653),x7653),f15(f14(x7651,x7652,x7653),x7653))
% 0.55/1.22 [766]~P51(x7662)+E(f20(f9(x7661,x7662),x7663,x7662),f9(f20(x7661,x7663,x7662),x7662))
% 0.55/1.22 [767]~P67(x7672)+E(f14(f15(x7671,x7672),x7673,x7672),f15(f14(x7671,x7673,x7672),x7672))
% 0.55/1.22 [768]~P47(x7682)+E(f11(f15(x7681,x7682),x7683,x7682),f15(f11(x7681,x7683,x7682),x7682))
% 0.55/1.22 [770]~P41(x7703)+E(f14(x7701,f15(x7702,x7703),x7703),f15(f14(x7701,x7702,x7703),x7703))
% 0.55/1.22 [772]~P41(x7722)+E(f14(f15(x7721,x7722),x7723,x7722),f15(f14(x7721,x7723,x7722),x7722))
% 0.55/1.22 [773]~P38(x7732)+E(f11(f15(x7731,x7732),x7733,x7732),f15(f11(x7731,x7733,x7732),x7732))
% 0.55/1.22 [816]~P23(x8163)+E(f14(x8161,f14(x8161,x8162,x8163),x8163),f14(x8161,x8162,x8163))
% 0.55/1.22 [817]~P7(x8173)+E(f7(f13(x8171,x8172,x8173),x8172,x8173),f7(x8171,x8172,x8173))
% 0.55/1.22 [818]~P7(x8183)+E(f7(f13(x8181,x8182,x8183),x8181,x8183),f7(x8182,x8181,x8183))
% 0.55/1.22 [819]~P7(x8193)+E(f7(f7(x8191,x8192,x8193),x8192,x8193),f7(x8191,x8192,x8193))
% 0.55/1.22 [820]~P51(x8201)+P13(f4(x8201),f20(f9(x8202,x8201),x8203,x8201),x8201)
% 0.55/1.22 [827]~P73(x8272)+E(f14(f21(x8271,x8272),f21(x8273,x8272),x8272),f21(f14(x8271,x8273,a23),x8272))
% 0.55/1.22 [828]~P73(x8282)+E(f13(f21(x8281,x8282),f21(x8283,x8282),x8282),f21(f13(x8281,x8283,a23),x8282))
% 0.55/1.22 [830]~P51(x8302)+E(f14(f9(x8301,x8302),f9(x8303,x8302),x8302),f9(f14(x8301,x8303,x8302),x8302))
% 0.55/1.22 [831]~P5(x8312)+E(f13(f15(x8311,x8312),f15(x8313,x8312),x8312),f15(f13(x8313,x8311,x8312),x8312))
% 0.55/1.22 [832]~P14(x8322)+E(f13(f15(x8321,x8322),f15(x8323,x8322),x8322),f15(f13(x8321,x8323,x8322),x8322))
% 0.55/1.22 [833]~P14(x8332)+E(f12(f15(x8331,x8332),f15(x8333,x8332),x8332),f15(f12(x8331,x8333,x8332),x8332))
% 0.55/1.22 [869]~P4(x8693)+E(f9(f12(x8691,x8692,x8693),x8693),f9(f12(x8692,x8691,x8693),x8693))
% 0.55/1.22 [940]~P32(x9402)+P12(f14(x9401,f4(x9402),x9402),f14(x9403,f4(x9402),x9402),x9402)
% 0.55/1.22 [941]~P32(x9411)+P12(f14(f4(x9411),x9412,x9411),f14(f4(x9411),x9413,x9411),x9411)
% 0.55/1.22 [995]~P30(x9953)+E(f14(f20(x9951,x9952,x9953),x9951,x9953),f14(x9951,f20(x9951,x9952,x9953),x9953))
% 0.55/1.22 [1164]~P70(x11641)+E(f14(f20(f15(f8(x11641),x11641),x11642,x11641),f20(x11643,x11642,x11641),x11641),f20(f15(x11643,x11641),x11642,x11641))
% 0.55/1.22 [1277]~P56(x12773)+P13(f9(f14(x12771,x12772,x12773),x12773),f14(f9(x12771,x12773),f9(x12772,x12773),x12773),x12773)
% 0.55/1.22 [1278]~P4(x12783)+P13(f9(f13(x12781,x12782,x12783),x12783),f13(f9(x12781,x12783),f9(x12782,x12783),x12783),x12783)
% 0.55/1.22 [1279]~P4(x12793)+P13(f9(f12(x12791,x12792,x12793),x12793),f13(f9(x12791,x12793),f9(x12792,x12793),x12793),x12793)
% 0.55/1.22 [1280]~P4(x12802)+P13(f12(f9(x12801,x12802),f9(x12803,x12802),x12802),f9(f12(x12801,x12803,x12802),x12802),x12802)
% 0.55/1.22 [1282]~P10(f4(a23),x12821,a23)+E(f20(f5(f14(x12821,x12822,a23)),f14(x12821,x12823,a23),a18),f20(f5(x12822),x12823,a18))
% 0.55/1.22 [1377]~P59(x13771)+P13(f4(x13771),f13(f14(x13772,x13772,x13771),f14(x13773,x13773,x13771),x13771),x13771)
% 0.55/1.22 [1489]~P59(x14891)+~P10(f13(f14(x14892,x14892,x14891),f14(x14893,x14893,x14891),x14891),f4(x14891),x14891)
% 0.55/1.22 [813]~P5(x8132)+E(f13(x8131,f13(f15(x8131,x8132),x8133,x8132),x8132),x8133)
% 0.55/1.22 [944]~P51(x9442)+E(f9(f20(f15(x9441,x9442),x9443,x9442),x9442),f9(f20(x9441,x9443,x9442),x9442))
% 0.55/1.22 [1008]~P33(x10083)+E(f14(x10081,f20(x10081,x10082,x10083),x10083),f20(x10081,f13(x10082,f8(a23),a23),x10083))
% 0.55/1.22 [1009]~P33(x10093)+E(f14(f20(x10091,x10092,x10093),x10091,x10093),f20(x10091,f13(x10092,f8(a23),a23),x10093))
% 0.55/1.22 [1011]~P33(x10113)+E(f20(x10111,f13(x10112,f8(a23),a23),x10113),f14(x10111,f20(x10111,x10112,x10113),x10113))
% 0.55/1.22 [1012]~P39(x10123)+E(f20(x10121,f13(x10122,f8(a23),a23),x10123),f14(x10121,f20(x10121,x10122,x10123),x10123))
% 0.55/1.22 [1013]~P30(x10133)+E(f20(x10131,f13(x10132,f8(a23),a23),x10133),f14(f20(x10131,x10132,x10133),x10131,x10133))
% 0.55/1.22 [1017]~P4(x10172)+E(f9(f13(f9(x10171,x10172),f9(x10173,x10172),x10172),x10172),f13(f9(x10171,x10172),f9(x10173,x10172),x10172))
% 0.55/1.22 [1026]~P33(x10263)+E(f13(x10261,f14(x10262,x10261,x10263),x10263),f14(f13(x10262,f8(x10263),x10263),x10261,x10263))
% 0.55/1.22 [1027]~P33(x10273)+E(f13(f14(x10271,x10272,x10273),x10272,x10273),f14(f13(x10271,f8(x10273),x10273),x10272,x10273))
% 0.55/1.22 [1116]~P8(x11163)+E(f7(f15(f7(x11161,x11162,x11163),x11163),x11162,x11163),f7(f15(x11161,x11163),x11162,x11163))
% 0.55/1.22 [1281]E(x12811,x12812)+~E(f14(f13(x12813,f8(a23),a23),x12811,a23),f14(f13(x12813,f8(a23),a23),x12812,a23))
% 0.55/1.22 [1448]~P4(x14482)+P13(f9(f12(f9(x14481,x14482),f9(x14483,x14482),x14482),x14482),f9(f12(x14481,x14483,x14482),x14482),x14482)
% 0.55/1.22 [1468]~P10(x14682,x14683,a23)+P10(f14(f13(x14681,f8(a23),a23),x14682,a23),f14(f13(x14681,f8(a23),a23),x14683,a23),a23)
% 0.55/1.22 [1521]~P33(x15213)+E(f20(x15211,f13(f14(f19(f3(f2(a16)),a23),x15212,a23),f8(a23),a23),x15213),f14(x15211,f14(f20(x15211,x15212,x15213),f20(x15211,x15212,x15213),x15213),x15213))
% 0.55/1.22 [1256]~P30(x12563)+E(f20(f20(x12561,x12562,x12563),f19(f3(f2(a16)),a23),x12563),f20(x12561,f14(f19(f3(f2(a16)),a23),x12562,a23),x12563))
% 0.55/1.22 [1300]~P33(x13003)+E(f20(x13001,f14(f19(f3(f2(a16)),a23),x13002,a23),x13003),f14(f20(x13001,x13002,x13003),f20(x13001,x13002,x13003),x13003))
% 0.55/1.22 [1302]~P43(x13022)+E(f20(f15(x13021,x13022),f14(f19(f3(f2(a16)),a23),x13023,a23),x13022),f20(x13021,f14(f19(f3(f2(a16)),a23),x13023,a23),x13022))
% 0.55/1.22 [1333]~P51(x13331)+P13(f4(x13331),f20(x13332,f14(f19(f3(f2(a16)),a23),x13333,a23),x13331),x13331)
% 0.55/1.22 [1496]~P51(x14961)+P13(f4(x14961),f13(f20(x14962,f19(f3(f2(a16)),a23),x14961),f20(x14963,f19(f3(f2(a16)),a23),x14961),x14961),x14961)
% 0.55/1.22 [1510]~P30(x15103)+E(f20(x15101,f13(f14(f19(f3(f2(a16)),a23),x15102,a23),f8(a23),a23),x15103),f14(x15101,f20(f20(x15101,x15102,x15103),f19(f3(f2(a16)),a23),x15103),x15103))
% 0.55/1.22 [1526]~P51(x15261)+~P10(f13(f20(x15262,f19(f3(f2(a16)),a23),x15261),f20(x15263,f19(f3(f2(a16)),a23),x15261),x15261),f4(x15261),x15261)
% 0.55/1.22 [1530]~P15(x15302)+E(f13(f13(f20(x15301,f19(f3(f2(a16)),a23),x15302),f20(x15303,f19(f3(f2(a16)),a23),x15302),x15302),f14(f14(f19(f3(f2(a16)),x15302),x15301,x15302),x15303,x15302),x15302),f20(f13(x15301,x15303,x15302),f19(f3(f2(a16)),a23),x15302))
% 0.55/1.22 [1531]~P15(x15312)+E(f12(f13(f20(x15311,f19(f3(f2(a16)),a23),x15312),f20(x15313,f19(f3(f2(a16)),a23),x15312),x15312),f14(f14(f19(f3(f2(a16)),x15312),x15311,x15312),x15313,x15312),x15312),f20(f12(x15311,x15313,x15312),f19(f3(f2(a16)),a23),x15312))
% 0.55/1.22 [981]~P33(x9813)+E(f20(f20(x9811,x9812,x9813),x9814,x9813),f20(x9811,f14(x9812,x9814,a23),x9813))
% 0.55/1.22 [982]~P30(x9823)+E(f20(f20(x9821,x9822,x9823),x9824,x9823),f20(x9821,f14(x9822,x9824,a23),x9823))
% 0.55/1.22 [985]~P33(x9854)+E(f14(x9851,f14(x9852,x9853,x9854),x9854),f14(x9852,f14(x9851,x9853,x9854),x9854))
% 0.55/1.22 [986]~P33(x9864)+E(f13(x9861,f13(x9862,x9863,x9864),x9864),f13(x9862,f13(x9861,x9863,x9864),x9864))
% 0.55/1.22 [987]~P14(x9874)+E(f13(x9871,f13(x9872,x9873,x9874),x9874),f13(x9872,f13(x9871,x9873,x9874),x9874))
% 0.55/1.22 [988]~P19(x9884)+E(f13(x9881,f13(x9882,x9883,x9884),x9884),f13(x9882,f13(x9881,x9883,x9884),x9884))
% 0.55/1.22 [993]~P33(x9933)+E(f14(f14(x9931,x9932,x9933),x9934,x9933),f14(x9931,f14(x9932,x9934,x9933),x9933))
% 0.55/1.22 [994]~P22(x9943)+E(f14(f14(x9941,x9942,x9943),x9944,x9943),f14(x9941,f14(x9942,x9944,x9943),x9943))
% 0.55/1.22 [996]~P33(x9963)+E(f13(f13(x9961,x9962,x9963),x9964,x9963),f13(x9961,f13(x9962,x9964,x9963),x9963))
% 0.55/1.22 [997]~P19(x9973)+E(f13(f13(x9971,x9972,x9973),x9974,x9973),f13(x9971,f13(x9972,x9974,x9973),x9973))
% 0.55/1.22 [998]~P20(x9983)+E(f13(f13(x9981,x9982,x9983),x9984,x9983),f13(x9981,f13(x9982,x9984,x9983),x9983))
% 0.55/1.22 [999]~P33(x9993)+E(f14(f14(x9991,x9992,x9993),x9994,x9993),f14(f14(x9991,x9994,x9993),x9992,x9993))
% 0.55/1.22 [1000]~P33(x10003)+E(f13(f13(x10001,x10002,x10003),x10004,x10003),f13(f13(x10001,x10004,x10003),x10002,x10003))
% 0.55/1.22 [1171]~P30(x11713)+E(f14(f20(x11711,x11712,x11713),f20(x11711,x11714,x11713),x11713),f20(x11711,f13(x11712,x11714,a23),x11713))
% 0.55/1.22 [1172]~P33(x11723)+E(f14(f20(x11721,x11722,x11723),f20(x11721,x11724,x11723),x11723),f20(x11721,f13(x11722,x11724,a23),x11723))
% 0.55/1.22 [1176]~P33(x11763)+E(f13(f14(x11761,x11762,x11763),f14(x11761,x11764,x11763),x11763),f14(x11761,f13(x11762,x11764,x11763),x11763))
% 0.55/1.22 [1178]~P41(x11783)+E(f13(f14(x11781,x11782,x11783),f14(x11781,x11784,x11783),x11783),f14(x11781,f13(x11782,x11784,x11783),x11783))
% 0.55/1.22 [1180]~P41(x11803)+E(f12(f14(x11801,x11802,x11803),f14(x11801,x11804,x11803),x11803),f14(x11801,f12(x11802,x11804,x11803),x11803))
% 0.55/1.22 [1183]~P41(x11833)+E(f13(f14(x11831,x11832,x11833),f14(x11834,x11832,x11833),x11833),f14(f13(x11831,x11834,x11833),x11832,x11833))
% 0.55/1.22 [1184]~P46(x11843)+E(f13(f14(x11841,x11842,x11843),f14(x11844,x11842,x11843),x11843),f14(f13(x11841,x11844,x11843),x11842,x11843))
% 0.55/1.22 [1186]~P41(x11863)+E(f12(f14(x11861,x11862,x11863),f14(x11864,x11862,x11863),x11863),f14(f12(x11861,x11864,x11863),x11862,x11863))
% 0.55/1.22 [1187]~P33(x11873)+E(f14(f20(x11871,x11872,x11873),f20(x11874,x11872,x11873),x11873),f20(f14(x11871,x11874,x11873),x11872,x11873))
% 0.55/1.22 [1188]~P25(x11883)+E(f14(f20(x11881,x11882,x11883),f20(x11884,x11882,x11883),x11883),f20(f14(x11881,x11884,x11883),x11882,x11883))
% 0.55/1.22 [1189]~P47(x11893)+E(f13(f11(x11891,x11892,x11893),f11(x11894,x11892,x11893),x11893),f11(f13(x11891,x11894,x11893),x11892,x11893))
% 0.55/1.22 [1190]~P38(x11903)+E(f13(f11(x11901,x11902,x11903),f11(x11904,x11902,x11903),x11903),f11(f13(x11901,x11904,x11903),x11902,x11903))
% 0.55/1.22 [1191]~P47(x11913)+E(f12(f11(x11911,x11912,x11913),f11(x11914,x11912,x11913),x11913),f11(f12(x11911,x11914,x11913),x11912,x11913))
% 0.55/1.22 [1192]~P38(x11923)+E(f12(f11(x11921,x11922,x11923),f11(x11924,x11922,x11923),x11923),f11(f12(x11921,x11924,x11923),x11922,x11923))
% 0.55/1.22 [1193]~P7(x11933)+E(f7(f14(x11931,x11932,x11933),f14(x11931,x11934,x11933),x11933),f14(x11931,f7(x11932,x11934,x11933),x11933))
% 0.55/1.22 [1194]~P33(x11943)+E(f13(f14(x11941,x11942,x11943),f14(x11944,x11942,x11943),x11943),f14(f13(x11941,x11944,x11943),x11942,x11943))
% 0.55/1.22 [1195]~P7(x11953)+E(f7(f14(x11951,x11952,x11953),f14(x11954,x11952,x11953),x11953),f14(f7(x11951,x11954,x11953),x11952,x11953))
% 0.55/1.22 [1174]~P7(x11744)+E(f7(f13(x11741,f14(x11742,x11743,x11744),x11744),x11743,x11744),f7(x11741,x11743,x11744))
% 0.55/1.22 [1175]~P7(x11754)+E(f7(f13(x11751,f14(x11752,x11753,x11754),x11754),x11752,x11754),f7(x11751,x11752,x11754))
% 0.55/1.22 [1305]~P7(x13054)+E(f7(f14(x13051,f7(x13052,x13053,x13054),x13054),x13053,x13054),f7(f14(x13051,x13052,x13054),x13053,x13054))
% 0.55/1.22 [1307]~P8(x13074)+E(f7(f12(x13071,f7(x13072,x13073,x13074),x13074),x13073,x13074),f7(f12(x13071,x13072,x13074),x13073,x13074))
% 0.55/1.22 [1310]~P8(x13103)+E(f7(f12(f7(x13101,x13102,x13103),x13104,x13103),x13102,x13103),f7(f12(x13101,x13104,x13103),x13102,x13103))
% 0.55/1.22 [1311]~P7(x13114)+E(f7(f13(x13111,f7(x13112,x13113,x13114),x13114),x13113,x13114),f7(f13(x13111,x13112,x13114),x13113,x13114))
% 0.55/1.22 [1312]~P7(x13123)+E(f7(f14(f7(x13121,x13122,x13123),x13124,x13123),x13122,x13123),f7(f14(x13121,x13124,x13123),x13122,x13123))
% 0.55/1.22 [1313]~P7(x13133)+E(f7(f13(f7(x13131,x13132,x13133),x13134,x13133),x13132,x13133),f7(f13(x13131,x13134,x13133),x13132,x13133))
% 0.55/1.22 [1457]~P7(x14573)+E(f7(f14(f7(x14571,x14572,x14573),f7(x14574,x14572,x14573),x14573),x14572,x14573),f7(f14(x14571,x14574,x14573),x14572,x14573))
% 0.55/1.22 [1458]~P7(x14583)+E(f7(f13(f7(x14581,x14582,x14583),f7(x14584,x14582,x14583),x14583),x14582,x14583),f7(f13(x14581,x14584,x14583),x14582,x14583))
% 0.55/1.22 [1459]~P8(x14593)+E(f7(f12(f7(x14591,x14592,x14593),f7(x14594,x14592,x14593),x14593),x14592,x14593),f7(f12(x14591,x14594,x14593),x14592,x14593))
% 0.55/1.22 [1314]~P33(x13143)+E(f14(f14(x13141,x13142,x13143),f14(x13144,x13145,x13143),x13143),f14(f14(x13141,x13144,x13143),f14(x13142,x13145,x13143),x13143))
% 0.55/1.22 [1315]~P33(x13153)+E(f13(f13(x13151,x13152,x13153),f13(x13154,x13155,x13153),x13153),f13(f13(x13151,x13154,x13153),f13(x13152,x13155,x13153),x13153))
% 0.55/1.22 [1316]~P14(x13163)+E(f12(f13(x13161,x13162,x13163),f13(x13164,x13165,x13163),x13163),f13(f12(x13161,x13164,x13163),f12(x13162,x13165,x13163),x13163))
% 0.55/1.22 [1376]E(f7(x13761,x13762,a23),f7(x13763,x13762,a23))+~E(f13(x13761,f14(x13762,x13764,a23),a23),f13(x13763,f14(x13762,x13765,a23),a23))
% 0.55/1.22 [1483]~P72(x14833)+E(f13(f14(x14831,x14832,x14833),f13(f14(x14834,x14832,x14833),x14835,x14833),x14833),f13(f14(f13(x14831,x14834,x14833),x14832,x14833),x14835,x14833))
% 0.55/1.22 [1543]~P4(x15433)+P13(f9(f12(f13(x15431,x15432,x15433),f13(x15434,x15435,x15433),x15433),x15433),f13(f9(f12(x15431,x15434,x15433),x15433),f9(f12(x15432,x15435,x15433),x15433),x15433),x15433)
% 0.55/1.22 [1544]~P41(x15443)+E(f13(f13(f14(f12(x15441,x15442,x15443),f12(x15444,x15445,x15443),x15443),f14(f12(x15441,x15442,x15443),x15445,x15443),x15443),f14(x15442,f12(x15444,x15445,x15443),x15443),x15443),f12(f14(x15441,x15444,x15443),f14(x15442,x15445,x15443),x15443))
% 0.55/1.22 [1518]~P67(x15183)+E(f13(f14(x15181,x15182,x15183),f13(f14(f12(x15184,x15181,x15183),x15182,x15183),x15185,x15183),x15183),f13(f14(x15184,x15182,x15183),x15185,x15183))
% 0.55/1.22 [1542]~P42(x15424)+E(f13(f14(x15421,f11(f12(x15422,x15423,x15424),x15425,x15424),x15424),f14(f11(f12(x15421,x15426,x15424),x15425,x15424),x15423,x15424),x15424),f11(f12(f14(x15421,x15422,x15424),f14(x15426,x15423,x15424),x15424),x15425,x15424))
% 0.55/1.22 [394]~P47(x3941)+~P48(x3941)+E(f10(f8(x3941),x3941),f8(x3941))
% 0.55/1.22 [417]~P51(x4171)+~P15(x4171)+E(f9(f19(a1,x4171),x4171),f8(x4171))
% 0.55/1.22 [708]~P35(x7081)+~P13(f4(x7081),f4(x7081),x7081)+E(f13(f4(x7081),f4(x7081),x7081),f4(x7081))
% 0.55/1.22 [1410]E(x14101,f4(a23))+E(x14101,f13(f4(a23),f8(a23),a23))+~P10(x14101,f13(f13(f4(a23),f8(a23),a23),f8(a23),a23),a23)
% 0.55/1.22 [479]~P47(x4791)+~P15(x4791)+E(f10(f19(f2(a16),x4791),x4791),f19(f2(a16),x4791))
% 0.55/1.22 [815]E(x8151,f4(a23))+E(x8151,f13(f4(a23),f8(a23),a23))+~P10(x8151,f19(f3(f2(a16)),a23),a23)
% 0.55/1.22 [548]E(x5481,x5482)+P10(x5482,x5481,a23)+P10(x5481,x5482,a23)
% 0.55/1.22 [664]E(x6641,x6642)+~P12(x6642,x6641,a23)+~P12(x6641,x6642,a23)
% 0.55/1.22 [391]~P73(x3912)+~P11(x3911,x3912)+E(x3911,f4(x3912))
% 0.55/1.22 [392]~P29(x3922)+~E(f15(x3921,x3922),x3921)+E(x3921,f4(x3922))
% 0.55/1.22 [398]~P4(x3982)+~E(f9(x3981,x3982),f4(x3982))+E(x3981,f4(x3982))
% 0.55/1.22 [399]~P5(x3992)+~E(f15(x3991,x3992),f4(x3992))+E(x3991,f4(x3992))
% 0.55/1.22 [400]~P49(x4002)+~E(f10(x4001,x4002),f4(x4002))+E(x4001,f4(x4002))
% 0.55/1.22 [401]~P5(x4011)+~E(f15(x4012,x4011),f4(x4011))+E(f4(x4011),x4012)
% 0.55/1.22 [458]~P47(x4582)+E(f11(x4581,x4581,x4582),f8(x4582))+E(x4581,f4(x4582))
% 0.55/1.22 [475]~P32(x4752)+~P15(x4752)+E(f12(x4751,x4751,x4752),f4(x4752))
% 0.55/1.22 [490]~P45(x4902)+P10(x4901,f4(x4902),x4902)+E(f9(x4901,x4902),x4901)
% 0.55/1.22 [513]~E(f14(x5132,x5131,a23),x5132)+E(x5131,f8(a23))+E(x5132,f4(a23))
% 0.55/1.22 [524]E(x5241,f4(a23))+E(x5242,f4(a23))+~E(f14(x5242,x5241,a23),f4(a23))
% 0.55/1.22 [532]~P4(x5322)+P10(f4(x5322),f9(x5321,x5322),x5322)+E(x5321,f4(x5322))
% 0.55/1.22 [539]~P27(x5392)+~E(f13(x5391,x5391,x5392),f4(x5392))+E(x5391,f4(x5392))
% 0.55/1.22 [545]~P33(x5452)+~P12(f4(x5452),x5451,x5452)+E(x5451,f4(x5452))
% 0.55/1.22 [573]~P4(x5732)+~P13(f4(x5732),x5731,x5732)+E(f9(x5731,x5732),x5731)
% 0.55/1.22 [574]~P4(x5742)+~P10(f4(x5742),x5741,x5742)+E(f9(x5741,x5742),x5741)
% 0.55/1.22 [592]~P4(x5922)+~P13(x5921,f4(x5922),x5922)+E(f9(x5921,x5922),f15(x5921,x5922))
% 0.55/1.22 [593]~P4(x5932)+~P10(x5931,f4(x5932),x5932)+E(f9(x5931,x5932),f15(x5931,x5932))
% 0.55/1.22 [594]~P45(x5942)+~P10(x5941,f4(x5942),x5942)+E(f9(x5941,x5942),f15(x5941,x5942))
% 0.55/1.22 [614]P9(x6141,a23)+P9(x6142,a23)+P9(f13(x6142,x6141,a23),a23)
% 0.55/1.22 [620]~P4(x6202)+~P13(f9(x6201,x6202),f4(x6202),x6202)+E(x6201,f4(x6202))
% 0.55/1.22 [637]~P9(x6372,a23)+~P9(x6371,a23)+P9(f13(x6371,x6372,a23),a23)
% 0.55/1.22 [707]~P60(x7071)+P10(f4(x7071),f21(x7072,x7071),x7071)+~P10(f4(a23),x7072,a23)
% 0.55/1.22 [711]~P27(x7112)+~P13(x7111,f4(x7112),x7112)+P13(x7111,f15(x7111,x7112),x7112)
% 0.55/1.22 [712]~P29(x7122)+~P13(x7121,f4(x7122),x7122)+P13(x7121,f15(x7121,x7122),x7122)
% 0.55/1.22 [713]~P51(x7132)+~P10(x7131,f4(x7132),x7132)+P10(x7131,f15(x7131,x7132),x7132)
% 0.55/1.22 [714]~P27(x7142)+~P13(f4(x7142),x7141,x7142)+P13(f15(x7141,x7142),x7141,x7142)
% 0.55/1.22 [715]~P29(x7152)+~P13(f4(x7152),x7151,x7152)+P13(f15(x7151,x7152),x7151,x7152)
% 0.55/1.22 [727]~P28(x7271)+~P13(x7272,f4(x7271),x7271)+P13(f4(x7271),f15(x7272,x7271),x7271)
% 0.55/1.22 [728]~P28(x7281)+~P10(x7282,f4(x7281),x7281)+P10(f4(x7281),f15(x7282,x7281),x7281)
% 0.55/1.22 [729]~P58(x7291)+~P10(f4(x7291),x7292,x7291)+P10(f4(x7291),f10(x7292,x7291),x7291)
% 0.55/1.22 [730]~P58(x7302)+~P10(x7301,f4(x7302),x7302)+P10(f10(x7301,x7302),f4(x7302),x7302)
% 0.55/1.22 [731]~P28(x7312)+~P13(f4(x7312),x7311,x7312)+P13(f15(x7311,x7312),f4(x7312),x7312)
% 0.55/1.22 [732]~P28(x7322)+~P10(f4(x7322),x7321,x7322)+P10(f15(x7321,x7322),f4(x7322),x7322)
% 0.55/1.22 [735]~P27(x7352)+~P13(x7351,f15(x7351,x7352),x7352)+P13(x7351,f4(x7352),x7352)
% 0.55/1.22 [736]~P29(x7362)+~P13(x7361,f15(x7361,x7362),x7362)+P13(x7361,f4(x7362),x7362)
% 0.55/1.22 [737]~P51(x7372)+~P10(x7371,f15(x7371,x7372),x7372)+P10(x7371,f4(x7372),x7372)
% 0.55/1.22 [738]~P27(x7381)+~P13(f15(x7382,x7381),x7382,x7381)+P13(f4(x7381),x7382,x7381)
% 0.55/1.22 [739]~P29(x7391)+~P13(f15(x7392,x7391),x7392,x7391)+P13(f4(x7391),x7392,x7391)
% 0.55/1.22 [757]~P60(x7572)+~P10(f4(x7572),f21(x7571,x7572),x7572)+P10(f4(a23),x7571,a23)
% 0.55/1.22 [761]~P28(x7612)+~P13(f4(x7612),f15(x7611,x7612),x7612)+P13(x7611,f4(x7612),x7612)
% 0.55/1.22 [762]~P28(x7622)+~P10(f4(x7622),f15(x7621,x7622),x7622)+P10(x7621,f4(x7622),x7622)
% 0.55/1.22 [763]~P28(x7631)+~P13(f15(x7632,x7631),f4(x7631),x7631)+P13(f4(x7631),x7632,x7631)
% 0.55/1.22 [764]~P28(x7641)+~P10(f15(x7642,x7641),f4(x7641),x7641)+P10(f4(x7641),x7642,x7641)
% 0.55/1.22 [774]P9(x7741,a23)+P9(x7742,a23)+~P9(f14(x7741,x7742,a23),a23)
% 0.55/1.22 [808]P9(x8081,a23)+~P9(x8082,a23)+~P9(f13(x8082,x8081,a23),a23)
% 0.55/1.22 [810]P9(x8101,a23)+~P9(x8102,a23)+~P9(f13(x8101,x8102,a23),a23)
% 0.55/1.22 [823]~P12(x8231,x8232,a23)+~P10(f4(a23),x8232,a23)+P10(f4(a23),x8231,a23)
% 0.55/1.22 [876]~P12(x8762,x8761,a23)+~P10(x8761,x8762,a23)+~P10(f4(a23),x8761,a23)
% 0.55/1.22 [884]~P27(x8841)+~P13(f4(x8841),x8842,x8841)+P13(f4(x8841),f13(x8842,x8842,x8841),x8841)
% 0.55/1.22 [888]~P27(x8881)+~P10(f4(x8881),x8882,x8881)+P10(f4(x8881),f13(x8882,x8882,x8881),x8881)
% 0.55/1.22 [890]~P27(x8902)+~P13(x8901,f4(x8902),x8902)+P13(f13(x8901,x8901,x8902),f4(x8902),x8902)
% 0.55/1.22 [891]~P51(x8912)+~P10(x8911,f4(x8912),x8912)+P10(f13(x8911,x8911,x8912),f4(x8912),x8912)
% 0.55/1.22 [892]~P27(x8922)+~P10(x8921,f4(x8922),x8922)+P10(f13(x8921,x8921,x8922),f4(x8922),x8922)
% 0.55/1.22 [1002]~P27(x10022)+~P13(f13(x10021,x10021,x10022),f4(x10022),x10022)+P13(x10021,f4(x10022),x10022)
% 0.55/1.22 [1003]~P51(x10032)+~P10(f13(x10031,x10031,x10032),f4(x10032),x10032)+P10(x10031,f4(x10032),x10032)
% 0.55/1.22 [1005]~P27(x10052)+~P10(f13(x10051,x10051,x10052),f4(x10052),x10052)+P10(x10051,f4(x10052),x10052)
% 0.55/1.22 [1006]~P27(x10061)+~P13(f4(x10061),f13(x10062,x10062,x10061),x10061)+P13(f4(x10061),x10062,x10061)
% 0.55/1.22 [1007]~P27(x10071)+~P10(f4(x10071),f13(x10072,x10072,x10071),x10071)+P10(f4(x10071),x10072,x10071)
% 0.55/1.22 [1016]~P10(f4(a23),x10162,a23)+~P10(f4(a23),x10161,a23)+P10(f4(a23),f14(x10161,x10162,a23),a23)
% 0.55/1.22 [1018]~P12(f14(x10182,x10181,a23),x10182,a23)+E(x10181,f8(a23))+~P10(f4(a23),x10182,a23)
% 0.55/1.22 [1019]~P12(f14(x10191,x10192,a23),x10192,a23)+E(x10191,f8(a23))+~P10(f4(a23),x10192,a23)
% 0.55/1.22 [1069]P10(f4(a23),x10691,a23)+P10(f4(a23),x10692,a23)+~P10(f4(a23),f13(x10691,x10692,a23),a23)
% 0.55/1.22 [412]~P49(x4122)+E(x4121,f4(x4122))+E(f10(f10(x4121,x4122),x4122),x4121)
% 0.55/1.22 [416]~P48(x4162)+~P49(x4162)+E(f10(f10(x4161,x4162),x4162),x4161)
% 0.55/1.22 [478]~P32(x4782)+~P15(x4782)+E(f13(x4781,f4(x4782),x4782),x4781)
% 0.55/1.22 [484]~P47(x4842)+~P48(x4842)+E(f11(x4841,f4(x4842),x4842),f4(x4842))
% 0.55/1.23 [511]~P58(x5112)+E(x5111,f4(x5112))+E(f10(f9(x5111,x5112),x5112),f9(f10(x5111,x5112),x5112))
% 0.55/1.23 [512]~P49(x5122)+E(x5121,f4(x5122))+E(f10(f15(x5121,x5122),x5122),f15(f10(x5121,x5122),x5122))
% 0.55/1.23 [520]~P48(x5202)+~P58(x5202)+E(f10(f9(x5201,x5202),x5202),f9(f10(x5201,x5202),x5202))
% 0.55/1.23 [521]~P48(x5212)+~P49(x5212)+E(f10(f15(x5211,x5212),x5212),f15(f10(x5211,x5212),x5212))
% 0.55/1.23 [525]~P17(x5251)+~P15(x5251)+~P11(f19(f2(x5252),x5251),x5251)
% 0.55/1.23 [526]~P49(x5262)+E(x5261,f4(x5262))+E(f14(x5261,f10(x5261,x5262),x5262),f8(x5262))
% 0.55/1.23 [527]~P47(x5272)+E(x5271,f4(x5272))+E(f14(f10(x5271,x5272),x5271,x5272),f8(x5272))
% 0.55/1.23 [528]~P49(x5282)+E(x5281,f4(x5282))+E(f14(f10(x5281,x5282),x5281,x5282),f8(x5282))
% 0.55/1.23 [549]~P15(x5491)+~P9(x5492,a23)+E(f20(f19(a1,x5491),x5492,x5491),f8(x5491))
% 0.55/1.23 [550]~P15(x5501)+P9(x5502,a23)+E(f20(f19(a1,x5501),x5502,x5501),f19(a1,x5501))
% 0.55/1.23 [709]E(x7091,f4(a23))+E(x7092,f4(a23))+~E(f13(x7092,x7091,a23),f13(f4(a23),f8(a23),a23))
% 0.55/1.23 [710]E(x7101,f4(a23))+E(x7102,f4(a23))+~E(f13(f4(a23),f8(a23),a23),f13(x7102,x7101,a23))
% 0.55/1.23 [849]E(x8491,f4(a23))+E(x8491,f13(f4(a23),f8(a23),a23))+~E(f13(x8492,x8491,a23),f13(f4(a23),f8(a23),a23))
% 0.55/1.23 [850]E(x8501,f4(a23))+E(x8501,f13(f4(a23),f8(a23),a23))+~E(f13(x8501,x8502,a23),f13(f4(a23),f8(a23),a23))
% 0.55/1.23 [851]E(x8511,f4(a23))+E(x8511,f13(f4(a23),f8(a23),a23))+~E(f13(f4(a23),f8(a23),a23),f13(x8512,x8511,a23))
% 0.55/1.23 [852]E(x8521,f4(a23))+E(x8521,f13(f4(a23),f8(a23),a23))+~E(f13(f4(a23),f8(a23),a23),f13(x8521,x8522,a23))
% 0.55/1.23 [936]E(x9361,f13(f4(a23),f8(a23),a23))+E(x9362,f13(f4(a23),f8(a23),a23))+~E(f13(x9362,x9361,a23),f13(f4(a23),f8(a23),a23))
% 0.55/1.23 [937]E(x9371,f13(f4(a23),f8(a23),a23))+E(x9372,f13(f4(a23),f8(a23),a23))+~E(f13(f4(a23),f8(a23),a23),f13(x9372,x9371,a23))
% 0.55/1.23 [952]~P10(x9521,x9522,a23)+P10(f13(x9521,f8(a23),a23),x9522,a23)+E(f13(x9521,f8(a23),a23),x9522)
% 0.55/1.23 [963]E(x9631,x9632)+P10(x9632,x9631,a23)+~P10(x9632,f13(x9631,f8(a23),a23),a23)
% 0.55/1.23 [965]E(x9651,x9652)+P10(x9651,x9652,a23)+~P10(x9651,f13(x9652,f8(a23),a23),a23)
% 0.55/1.23 [1415]P10(x14151,f14(x14152,x14151,a23),a23)+~P10(f13(f4(a23),f8(a23),a23),x14152,a23)+~P10(f13(f4(a23),f8(a23),a23),x14151,a23)
% 0.55/1.23 [1416]P10(x14161,f14(x14161,x14162,a23),a23)+~P10(f13(f4(a23),f8(a23),a23),x14162,a23)+~P10(f13(f4(a23),f8(a23),a23),x14161,a23)
% 0.55/1.23 [1477]~P10(f13(f4(a23),f8(a23),a23),x14772,a23)+~P10(f13(f4(a23),f8(a23),a23),x14771,a23)+P10(f13(f4(a23),f8(a23),a23),f14(x14771,x14772,a23),a23)
% 0.55/1.23 [537]~P47(x5372)+~P15(x5372)+E(f11(x5371,f19(f2(a16),x5372),x5372),x5371)
% 0.55/1.23 [584]~P43(x5841)+~P9(x5842,a23)+E(f20(f15(f8(x5841),x5841),x5842,x5841),f8(x5841))
% 0.55/1.23 [596]~P43(x5961)+P9(x5962,a23)+E(f20(f15(f8(x5961),x5961),x5962,x5961),f15(f8(x5961),x5961))
% 0.55/1.23 [716]~P51(x7161)+~P15(x7161)+E(f9(f20(f19(a1,x7161),x7162,x7161),x7161),f8(x7161))
% 0.55/1.23 [719]~P39(x7191)+~P66(x7191)+E(f20(f4(x7191),f13(x7192,f8(a23),a23),x7191),f4(x7191))
% 0.55/1.23 [734]~P47(x7341)+~P48(x7341)+E(f11(f14(f4(x7341),x7342,x7341),x7342,x7341),f4(x7341))
% 0.55/1.23 [682]~P51(x6822)+E(x6821,f4(x6822))+~E(f20(x6821,f19(f3(f2(a16)),a23),x6822),f4(x6822))
% 0.55/1.23 [898]~P51(x8982)+E(x8981,f4(x8982))+P10(f4(x8982),f20(x8981,f19(f3(f2(a16)),a23),x8982),x8982)
% 0.55/1.23 [567]P13(x5672,x5671,x5673)+~P34(x5673)+P13(x5671,x5672,x5673)
% 0.55/1.23 [570]P10(x5702,x5701,x5703)+~P34(x5703)+P13(x5701,x5702,x5703)
% 0.55/1.23 [618]~P37(x6183)+~P10(x6181,x6182,x6183)+P13(x6181,x6182,x6183)
% 0.55/1.23 [619]~P40(x6193)+~P10(x6191,x6192,x6193)+P13(x6191,x6192,x6193)
% 0.55/1.23 [684]~P10(x6843,x6842,x6841)+~P34(x6841)+~P13(x6842,x6843,x6841)
% 0.55/1.23 [686]~P10(x6863,x6862,x6861)+~P34(x6861)+~P10(x6862,x6863,x6861)
% 0.55/1.23 [687]~P10(x6873,x6872,x6871)+~P37(x6871)+~P10(x6872,x6873,x6871)
% 0.55/1.23 [688]~P10(x6883,x6882,x6881)+~P40(x6881)+~P13(x6882,x6883,x6881)
% 0.55/1.23 [690]~P10(x6903,x6902,x6901)+~P40(x6901)+~P10(x6902,x6903,x6901)
% 0.55/1.23 [812]~P12(x8121,x8123,a23)+P12(x8121,x8122,a23)+~P12(x8123,x8122,a23)
% 0.55/1.23 [413]~P18(x4133)+E(x4131,x4132)+~E(f15(x4131,x4133),f15(x4132,x4133))
% 0.55/1.23 [414]~P5(x4143)+E(x4141,x4142)+~E(f15(x4141,x4143),f15(x4142,x4143))
% 0.55/1.23 [415]~P16(x4153)+E(x4151,x4152)+~E(f21(x4151,x4153),f21(x4152,x4153))
% 0.55/1.23 [534]~P5(x5343)+E(x5341,x5342)+~E(f12(x5341,x5342,x5343),f4(x5343))
% 0.55/1.23 [535]~P14(x5353)+E(x5351,x5352)+~E(f12(x5351,x5352,x5353),f4(x5353))
% 0.55/1.23 [540]~P71(x5402)+~E(f20(x5401,x5403,x5402),f4(x5402))+E(x5401,f4(x5402))
% 0.55/1.23 [542]~P51(x5423)+P12(x5421,x5422,x5423)+~E(f9(x5421,x5423),f9(x5422,x5423))
% 0.55/1.23 [559]~P5(x5593)+~E(f13(x5591,x5592,x5593),f4(x5593))+E(x5591,f15(x5592,x5593))
% 0.55/1.23 [560]~P5(x5602)+~E(f13(x5601,x5603,x5602),f4(x5602))+E(f15(x5601,x5602),x5603)
% 0.55/1.23 [561]~P49(x5612)+~E(f14(x5611,x5613,x5612),f8(x5612))+E(f10(x5611,x5612),x5613)
% 0.55/1.23 [630]~P7(x6303)+~P12(x6302,x6301,x6303)+E(f7(x6301,x6302,x6303),f4(x6303))
% 0.55/1.23 [631]~P7(x6313)+P12(x6311,x6312,x6313)+~E(f7(x6312,x6311,x6313),f4(x6313))
% 0.55/1.23 [669]E(x6691,x6692)+~E(f14(x6693,x6691,a23),f14(x6693,x6692,a23))+E(x6693,f4(a23))
% 0.55/1.23 [670]E(x6701,x6702)+~E(f14(x6701,x6703,a23),f14(x6702,x6703,a23))+E(x6703,f4(a23))
% 0.55/1.23 [672]~P51(x6723)+~P12(x6721,x6722,x6723)+P12(x6721,f9(x6722,x6723),x6723)
% 0.55/1.23 [673]~P43(x6733)+~P12(x6731,x6732,x6733)+P12(x6731,f15(x6732,x6733),x6733)
% 0.55/1.23 [674]~P51(x6742)+~P12(x6741,x6743,x6742)+P12(f9(x6741,x6742),x6743,x6742)
% 0.55/1.23 [675]~P43(x6752)+~P12(x6751,x6753,x6752)+P12(f15(x6751,x6752),x6753,x6752)
% 0.55/1.23 [720]~P51(x7203)+P12(x7201,x7202,x7203)+~P12(x7201,f9(x7202,x7203),x7203)
% 0.55/1.23 [721]~P43(x7213)+P12(x7211,x7212,x7213)+~P12(x7211,f15(x7212,x7213),x7213)
% 0.55/1.23 [722]~P4(x7223)+P13(x7221,x7222,x7223)+~P13(f9(x7221,x7223),x7222,x7223)
% 0.55/1.23 [723]~P51(x7233)+P10(x7231,x7232,x7233)+~P10(f9(x7231,x7233),x7232,x7233)
% 0.55/1.23 [724]~P51(x7243)+P12(x7241,x7242,x7243)+~P12(f9(x7241,x7243),x7242,x7243)
% 0.55/1.23 [725]~P43(x7253)+P12(x7251,x7252,x7253)+~P12(f15(x7251,x7253),x7252,x7253)
% 0.55/1.23 [741]~P51(x7411)+P13(f4(x7411),f20(x7412,x7413,x7411),x7411)+~P9(x7413,a23)
% 0.55/1.23 [753]~P60(x7532)+~P10(x7531,x7533,a23)+P10(f21(x7531,x7532),f21(x7533,x7532),x7532)
% 0.55/1.23 [755]~P28(x7552)+~P13(x7553,x7551,x7552)+P13(f15(x7551,x7552),f15(x7553,x7552),x7552)
% 0.55/1.23 [756]~P28(x7562)+~P10(x7563,x7561,x7562)+P10(f15(x7561,x7562),f15(x7563,x7562),x7562)
% 0.55/1.23 [790]~P28(x7903)+~P13(x7902,f15(x7901,x7903),x7903)+P13(x7901,f15(x7902,x7903),x7903)
% 0.55/1.23 [792]~P28(x7923)+~P10(x7922,f15(x7921,x7923),x7923)+P10(x7921,f15(x7922,x7923),x7923)
% 0.55/1.23 [793]~P4(x7932)+~P13(f9(x7931,x7932),x7933,x7932)+P13(f15(x7931,x7932),x7933,x7932)
% 0.55/1.23 [795]~P28(x7952)+~P13(f15(x7953,x7952),x7951,x7952)+P13(f15(x7951,x7952),x7953,x7952)
% 0.55/1.23 [796]~P51(x7962)+~P10(f9(x7961,x7962),x7963,x7962)+P10(f15(x7961,x7962),x7963,x7962)
% 0.55/1.23 [798]~P28(x7982)+~P10(f15(x7983,x7982),x7981,x7982)+P10(f15(x7981,x7982),x7983,x7982)
% 0.55/1.23 [822]~P60(x8223)+~P10(f21(x8221,x8223),f21(x8222,x8223),x8223)+P10(x8221,x8222,a23)
% 0.55/1.23 [824]~P28(x8243)+P13(x8241,x8242,x8243)+~P13(f15(x8242,x8243),f15(x8241,x8243),x8243)
% 0.55/1.23 [825]~P28(x8253)+P10(x8251,x8252,x8253)+~P10(f15(x8252,x8253),f15(x8251,x8253),x8253)
% 0.55/1.23 [877]E(x8771,x8772)+~E(f14(x8773,x8771,a23),f14(x8773,x8772,a23))+~P10(f4(a23),x8773,a23)
% 0.55/1.23 [878]~P33(x8783)+P12(x8781,f20(x8781,x8782,x8783),x8783)+~P10(f4(a23),x8782,a23)
% 0.55/1.23 [879]~P28(x8793)+~P13(x8791,x8792,x8793)+P13(f12(x8791,x8792,x8793),f4(x8793),x8793)
% 0.55/1.23 [880]~P28(x8803)+~P10(x8801,x8802,x8803)+P10(f12(x8801,x8802,x8803),f4(x8803),x8803)
% 0.55/1.23 [885]~P51(x8851)+~P13(f4(x8851),x8852,x8851)+P13(f4(x8851),f20(x8852,x8853,x8851),x8851)
% 0.55/1.23 [886]~P60(x8861)+~P13(f4(x8861),x8862,x8861)+P13(f4(x8861),f20(x8862,x8863,x8861),x8861)
% 0.55/1.23 [887]~P60(x8871)+~P13(f8(x8871),x8872,x8871)+P13(f8(x8871),f20(x8872,x8873,x8871),x8871)
% 0.55/1.23 [889]~P60(x8891)+~P10(f4(x8891),x8892,x8891)+P10(f4(x8891),f20(x8892,x8893,x8891),x8891)
% 0.55/1.23 [924]~P51(x9241)+~P10(f20(x9243,x9242,x9241),f4(x9241),x9241)+~P9(x9242,a23)
% 0.55/1.23 [948]~P27(x9483)+~P13(x9481,f15(x9482,x9483),x9483)+P13(f13(x9481,x9482,x9483),f4(x9483),x9483)
% 0.55/1.23 [974]~P28(x9743)+P13(x9741,x9742,x9743)+~P13(f12(x9741,x9742,x9743),f4(x9743),x9743)
% 0.55/1.23 [975]~P28(x9753)+P10(x9751,x9752,x9753)+~P10(f12(x9751,x9752,x9753),f4(x9753),x9753)
% 0.55/1.23 [1004]~P51(x10042)+~P10(f20(x10041,x10043,x10042),f4(x10042),x10042)+P10(x10041,f4(x10042),x10042)
% 0.55/1.23 [1040]~P27(x10403)+~P13(f13(x10401,x10402,x10403),f4(x10403),x10403)+P13(x10401,f15(x10402,x10403),x10403)
% 0.55/1.23 [1166]~P10(x11661,x11663,a23)+P10(f14(x11661,x11662,a23),f14(x11663,x11662,a23),a23)+~P10(f4(a23),x11662,a23)
% 0.55/1.23 [1169]~P10(x11692,x11693,a23)+P10(f14(x11691,x11692,a23),f14(x11691,x11693,a23),a23)+~P10(f4(a23),x11691,a23)
% 0.55/1.23 [1251]P12(x12512,x12513,a23)+E(x12511,f4(a23))+~P12(f14(x12511,x12512,a23),f14(x12511,x12513,a23),a23)
% 0.55/1.23 [1330]P12(x13301,x13302,a23)+~P12(f14(x13303,x13301,a23),f14(x13303,x13302,a23),a23)+~P10(f4(a23),x13303,a23)
% 0.55/1.23 [639]~P51(x6392)+~P9(x6393,a23)+E(f20(f9(x6391,x6392),x6393,x6392),f20(x6391,x6393,x6392))
% 0.55/1.23 [640]~P43(x6402)+~P9(x6403,a23)+E(f20(f15(x6401,x6402),x6403,x6402),f20(x6401,x6403,x6402))
% 0.55/1.23 [671]~P47(x6712)+E(x6711,f4(x6712))+E(f11(f15(x6713,x6712),f15(x6711,x6712),x6712),f11(x6713,x6711,x6712))
% 0.55/1.23 [678]~P47(x6782)+E(x6781,f4(x6782))+E(f11(f14(x6783,x6781,x6782),x6781,x6782),x6783)
% 0.55/1.23 [679]~P47(x6792)+~P48(x6792)+E(f11(f15(x6791,x6792),f15(x6793,x6792),x6792),f11(x6791,x6793,x6792))
% 0.55/1.23 [726]~P47(x7263)+~P48(x7263)+E(f10(f11(x7261,x7262,x7263),x7263),f11(x7262,x7261,x7263))
% 0.55/1.23 [787]~P47(x7872)+E(x7871,f4(x7872))+E(f11(x7873,f15(x7871,x7872),x7872),f15(f11(x7873,x7871,x7872),x7872))
% 0.55/1.23 [788]~P49(x7882)+E(x7881,f4(x7882))+E(f20(f10(x7881,x7882),x7883,x7882),f10(f20(x7881,x7883,x7882),x7882))
% 0.55/1.23 [799]~P47(x7993)+~P48(x7993)+E(f11(x7991,f15(x7992,x7993),x7993),f15(f11(x7991,x7992,x7993),x7993))
% 0.55/1.23 [800]~P48(x8002)+~P49(x8002)+E(f20(f10(x8001,x8002),x8003,x8002),f10(f20(x8001,x8003,x8002),x8002))
% 0.55/1.23 [814]~P43(x8142)+P9(x8143,a23)+E(f20(f15(x8141,x8142),x8143,x8142),f15(f20(x8141,x8143,x8142),x8142))
% 0.55/1.23 [848]~P58(x8482)+E(x8481,f4(x8482))+E(f11(f9(x8483,x8482),f9(x8481,x8482),x8482),f9(f11(x8483,x8481,x8482),x8482))
% 0.55/1.23 [858]~P48(x8582)+~P58(x8582)+E(f11(f9(x8581,x8582),f9(x8583,x8582),x8582),f9(f11(x8581,x8583,x8582),x8582))
% 0.55/1.23 [859]~P47(x8592)+~P48(x8592)+E(f14(f10(x8591,x8592),f10(x8593,x8592),x8592),f10(f14(x8591,x8593,x8592),x8592))
% 0.55/1.23 [861]~P51(x8611)+P10(f4(x8611),f20(x8612,f19(x8613,a23),x8611),x8611)+~E(f19(x8613,a23),f4(a23))
% 0.55/1.23 [953]~P51(x9532)+~P13(f4(x9532),x9533,x9532)+E(f14(f9(x9531,x9532),x9533,x9532),f9(f14(x9531,x9533,x9532),x9532))
% 0.55/1.23 [1001]~P10(x10011,x10013,a23)+~P10(x10013,x10012,a23)+P10(f13(x10011,f8(a23),a23),x10012,a23)
% 0.55/1.23 [1105]~P51(x11052)+~P13(f20(x11053,f19(x11051,a23),x11052),f4(x11052),x11052)+~E(f19(x11051,a23),f4(a23))
% 0.55/1.23 [1199]~P59(x11992)+E(x11991,f4(x11992))+~E(f13(f14(x11993,x11993,x11992),f14(x11991,x11991,x11992),x11992),f4(x11992))
% 0.55/1.23 [1200]~P59(x12002)+E(x12001,f4(x12002))+~E(f13(f14(x12001,x12001,x12002),f14(x12003,x12003,x12002),x12002),f4(x12002))
% 0.55/1.23 [1264]~P60(x12641)+~P10(f8(x12641),x12642,x12641)+P10(f8(x12641),f14(x12642,f20(x12642,x12643,x12641),x12641),x12641)
% 0.55/1.23 [1354]~P60(x13543)+~P10(f8(x13543),x13541,x13543)+P10(f20(x13541,x13542,x13543),f14(x13541,f20(x13541,x13542,x13543),x13543),x13543)
% 0.55/1.23 [1380]~P59(x13802)+E(x13801,f4(x13802))+P10(f4(x13802),f13(f14(x13803,x13803,x13802),f14(x13801,x13801,x13802),x13802),x13802)
% 0.55/1.23 [1381]~P59(x13812)+E(x13811,f4(x13812))+P10(f4(x13812),f13(f14(x13811,x13811,x13812),f14(x13813,x13813,x13812),x13812),x13812)
% 0.55/1.23 [1490]~P59(x14902)+E(x14901,f4(x14902))+~P13(f13(f14(x14903,x14903,x14902),f14(x14901,x14901,x14902),x14902),f4(x14902),x14902)
% 0.55/1.23 [1491]~P59(x14912)+E(x14911,f4(x14912))+~P13(f13(f14(x14911,x14911,x14912),f14(x14913,x14913,x14912),x14912),f4(x14912),x14912)
% 0.55/1.23 [1044]~P47(x10441)+~P48(x10441)+E(f11(f8(x10441),f20(x10442,x10443,x10441),x10441),f20(f11(f8(x10441),x10442,x10441),x10443,x10441))
% 0.55/1.23 [1267]~P60(x12671)+~P10(f8(x12671),x12672,x12671)+P10(f8(x12671),f20(x12672,f13(x12673,f8(a23),a23),x12671),x12671)
% 0.55/1.23 [1435]~P58(x14353)+~P10(x14351,x14352,x14353)+P10(x14351,f11(f13(x14351,x14352,x14353),f13(f8(x14353),f8(x14353),x14353),x14353),x14353)
% 0.55/1.23 [1436]~P58(x14363)+~P10(x14361,x14362,x14363)+P10(f11(f13(x14361,x14362,x14363),f13(f8(x14363),f8(x14363),x14363),x14363),x14362,x14363)
% 0.55/1.23 [1524]~P51(x15243)+~P10(x15241,f4(x15243),x15243)+P10(f20(x15241,f13(f14(f19(f3(f2(a16)),a23),x15242,a23),f8(a23),a23),x15243),f4(x15243),x15243)
% 0.55/1.23 [1536]~P51(x15361)+P13(f4(x15361),x15362,x15361)+~P13(f4(x15361),f20(x15362,f13(f14(f19(f3(f2(a16)),a23),x15363,a23),f8(a23),a23),x15361),x15361)
% 0.55/1.23 [1438]~P51(x14382)+E(x14381,f4(x14382))+~E(f13(f20(x14383,f19(f3(f2(a16)),a23),x14382),f20(x14381,f19(f3(f2(a16)),a23),x14382),x14382),f4(x14382))
% 0.55/1.23 [1439]~P51(x14392)+E(x14391,f4(x14392))+~E(f13(f20(x14391,f19(f3(f2(a16)),a23),x14392),f20(x14393,f19(f3(f2(a16)),a23),x14392),x14392),f4(x14392))
% 0.55/1.23 [1488]~P51(x14882)+E(x14881,f4(x14882))+~P13(f20(x14881,f14(f19(f3(f2(a16)),a23),x14883,a23),x14882),f4(x14882),x14882)
% 0.55/1.23 [1499]~P51(x14992)+E(x14991,f4(x14992))+P10(f4(x14992),f13(f20(x14993,f19(f3(f2(a16)),a23),x14992),f20(x14991,f19(f3(f2(a16)),a23),x14992),x14992),x14992)
% 0.55/1.23 [1500]~P51(x15002)+E(x15001,f4(x15002))+P10(f4(x15002),f13(f20(x15001,f19(f3(f2(a16)),a23),x15002),f20(x15003,f19(f3(f2(a16)),a23),x15002),x15002),x15002)
% 0.55/1.23 [1527]~P51(x15272)+E(x15271,f4(x15272))+~P13(f13(f20(x15273,f19(f3(f2(a16)),a23),x15272),f20(x15271,f19(f3(f2(a16)),a23),x15272),x15272),f4(x15272),x15272)
% 0.55/1.23 [1528]~P51(x15282)+E(x15281,f4(x15282))+~P13(f13(f20(x15281,f19(f3(f2(a16)),a23),x15282),f20(x15283,f19(f3(f2(a16)),a23),x15282),x15282),f4(x15282),x15282)
% 0.55/1.23 [691]~P21(x6914)+E(x6911,x6912)+~E(f13(x6913,x6911,x6914),f13(x6913,x6912,x6914))
% 0.55/1.23 [692]~P24(x6924)+E(x6921,x6922)+~E(f13(x6923,x6921,x6924),f13(x6923,x6922,x6924))
% 0.55/1.23 [693]~P14(x6934)+E(x6931,x6932)+~E(f12(x6933,x6933,x6934),f12(x6931,x6932,x6934))
% 0.55/1.23 [694]~P24(x6944)+E(x6941,x6942)+~E(f13(x6941,x6943,x6944),f13(x6942,x6943,x6944))
% 0.55/1.23 [695]~P14(x6953)+E(x6951,x6952)+~E(f12(x6951,x6952,x6953),f12(x6954,x6954,x6953))
% 0.55/1.23 [874]~P33(x8744)+~P12(x8741,x8743,x8744)+P12(x8741,f14(x8742,x8743,x8744),x8744)
% 0.55/1.23 [875]~P33(x8754)+~P12(x8751,x8752,x8754)+P12(x8751,f14(x8752,x8753,x8754),x8754)
% 0.55/1.23 [951]~P10(x9514,x9513,a23)+P10(x9511,x9512,a23)+~E(f13(x9511,x9513,a23),f13(x9514,x9512,a23))
% 0.55/1.23 [967]~P33(x9673)+P12(x9671,x9672,x9673)+~P12(f14(x9674,x9671,x9673),x9672,x9673)
% 0.55/1.23 [968]~P33(x9683)+P12(x9681,x9682,x9683)+~P12(f14(x9681,x9684,x9683),x9682,x9683)
% 0.55/1.23 [1058]~P2(x10583)+~P13(x10581,x10584,x10583)+P13(f13(x10581,x10582,x10583),f13(x10584,x10582,x10583),x10583)
% 0.55/1.23 [1059]~P3(x10593)+~P13(x10591,x10594,x10593)+P13(f13(x10591,x10592,x10593),f13(x10594,x10592,x10593),x10593)
% 0.55/1.23 [1060]~P2(x10603)+~P13(x10602,x10604,x10603)+P13(f13(x10601,x10602,x10603),f13(x10601,x10604,x10603),x10603)
% 0.55/1.23 [1061]~P3(x10613)+~P13(x10612,x10614,x10613)+P13(f13(x10611,x10612,x10613),f13(x10611,x10614,x10613),x10613)
% 0.55/1.23 [1062]~P2(x10623)+~P10(x10621,x10624,x10623)+P10(f13(x10621,x10622,x10623),f13(x10624,x10622,x10623),x10623)
% 0.55/1.23 [1063]~P36(x10633)+~P10(x10631,x10634,x10633)+P10(f13(x10631,x10632,x10633),f13(x10634,x10632,x10633),x10633)
% 0.55/1.23 [1064]~P2(x10643)+~P10(x10642,x10644,x10643)+P10(f13(x10641,x10642,x10643),f13(x10641,x10644,x10643),x10643)
% 0.55/1.23 [1065]~P36(x10653)+~P10(x10652,x10654,x10653)+P10(f13(x10651,x10652,x10653),f13(x10651,x10654,x10653),x10653)
% 0.55/1.23 [1066]~P32(x10663)+~P12(x10661,x10664,x10663)+P12(f14(x10661,x10662,x10663),f14(x10664,x10662,x10663),x10663)
% 0.55/1.23 [1067]~P32(x10673)+~P12(x10672,x10674,x10673)+P12(f14(x10671,x10672,x10673),f14(x10671,x10674,x10673),x10673)
% 0.55/1.23 [1068]~P33(x10683)+~P12(x10681,x10684,x10683)+P12(f20(x10681,x10682,x10683),f20(x10684,x10682,x10683),x10683)
% 0.55/1.23 [1163]~P10(x11632,x11634,a23)+~P10(x11631,x11633,a23)+P10(f13(x11631,x11632,a23),f13(x11633,x11634,a23),a23)
% 0.55/1.23 [1260]~P2(x12603)+P13(x12601,x12602,x12603)+~P13(f13(x12604,x12601,x12603),f13(x12604,x12602,x12603),x12603)
% 0.55/1.23 [1261]~P2(x12613)+P13(x12611,x12612,x12613)+~P13(f13(x12611,x12614,x12613),f13(x12612,x12614,x12613),x12613)
% 0.55/1.23 [1262]~P2(x12623)+P10(x12621,x12622,x12623)+~P10(f13(x12624,x12621,x12623),f13(x12624,x12622,x12623),x12623)
% 0.55/1.23 [1263]~P2(x12633)+P10(x12631,x12632,x12633)+~P10(f13(x12631,x12634,x12633),f13(x12632,x12634,x12633),x12633)
% 0.55/1.23 [905]~P14(x9053)+E(x9051,f15(x9052,x9053))+~E(f13(x9051,f13(x9054,x9052,x9053),x9053),x9054)
% 0.55/1.23 [960]~P7(x9603)+~P12(x9604,x9602,x9603)+E(f7(f7(x9601,x9602,x9603),x9604,x9603),f7(x9601,x9604,x9603))
% 0.55/1.23 [1014]~P47(x10143)+~P48(x10143)+E(f11(f14(x10141,x10142,x10143),x10144,x10143),f14(f11(x10141,x10144,x10143),x10142,x10143))
% 0.55/1.23 [1020]~P8(x10202)+~E(f7(x10201,x10203,x10202),f7(x10204,x10203,x10202))+E(f7(f15(x10201,x10202),x10203,x10202),f7(f15(x10204,x10202),x10203,x10202))
% 0.55/1.23 [1201]~P47(x12012)+E(x12011,f4(x12012))+E(f11(f20(x12013,x12014,x12012),f20(x12011,x12014,x12012),x12012),f20(f11(x12013,x12011,x12012),x12014,x12012))
% 0.55/1.23 [1202]~P47(x12023)+~P48(x12023)+E(f11(f20(x12021,x12022,x12023),f20(x12024,x12022,x12023),x12023),f20(f11(x12021,x12024,x12023),x12022,x12023))
% 0.55/1.23 [1257]~P26(x12574)+~P13(f13(x12571,x12573,x12574),x12572,x12574)+P13(x12571,f13(x12572,f9(x12573,x12574),x12574),x12574)
% 0.55/1.23 [1269]E(x12691,x12692)+E(x12693,f4(a23))+~E(f13(x12694,f14(x12693,x12691,a23),a23),f13(x12694,f14(x12693,x12692,a23),a23))
% 0.55/1.23 [1323]~P32(x13233)+~P15(x13233)+E(f13(f14(x13231,x13232,x13233),f14(x13231,x13234,x13233),x13233),f13(f14(x13231,x13234,x13233),f14(x13231,x13232,x13233),x13233))
% 0.55/1.23 [1387]~P51(x13874)+P10(x13871,f13(x13872,x13873,x13874),x13874)+~P10(f9(f12(x13871,x13872,x13874),x13874),x13873,x13874)
% 0.55/1.23 [1388]~P51(x13883)+P10(f12(x13881,x13882,x13883),x13884,x13883)+~P10(f9(f12(x13884,x13881,x13883),x13883),x13882,x13883)
% 0.55/1.23 [1480]E(x14801,x14802)+E(x14803,x14804)+~E(f13(f14(x14803,x14801,a23),f14(x14804,x14802,a23),a23),f13(f14(x14803,x14802,a23),f14(x14804,x14801,a23),a23))
% 0.55/1.23 [1334]~P6(x13342)+~P72(x13342)+E(f13(f14(f19(x13341,x13342),x13343,x13342),f14(f19(x13341,x13342),x13344,x13342),x13342),f14(f19(x13341,x13342),f13(x13343,x13344,x13342),x13342))
% 0.55/1.23 [1335]~P6(x13352)+~P67(x13352)+E(f12(f14(f19(x13351,x13352),x13353,x13352),f14(f19(x13351,x13352),x13354,x13352),x13352),f14(f19(x13351,x13352),f12(x13353,x13354,x13352),x13352))
% 0.55/1.23 [1336]~P6(x13363)+~P72(x13363)+E(f13(f14(x13361,f19(x13362,x13363),x13363),f14(x13364,f19(x13362,x13363),x13363),x13363),f14(f13(x13361,x13364,x13363),f19(x13362,x13363),x13363))
% 0.55/1.23 [1337]~P6(x13373)+~P67(x13373)+E(f12(f14(x13371,f19(x13372,x13373),x13373),f14(x13374,f19(x13372,x13373),x13373),x13373),f14(f12(x13371,x13374,x13373),f19(x13372,x13373),x13373))
% 0.55/1.23 [1516]~P10(x15164,x15161,a23)+~P10(f4(a23),x15163,a23)+P10(f13(f14(x15161,f7(x15162,x15163,a23),a23),x15164,a23),f14(x15161,x15163,a23),a23)
% 0.55/1.23 [1147]~P14(x11473)+E(f13(x11471,x11472,x11473),x11474)+~E(f13(x11471,f13(x11475,x11472,x11473),x11473),f13(x11475,x11474,x11473))
% 0.55/1.23 [1324]~P47(x13243)+~P48(x13243)+E(f11(f14(x13241,x13242,x13243),f14(x13244,x13245,x13243),x13243),f14(f11(x13241,x13244,x13243),f11(x13242,x13245,x13243),x13243))
% 0.55/1.23 [1486]~P67(x14864)+~E(f13(f14(x14863,x14865,x14864),x14861,x14864),f13(f14(x14862,x14865,x14864),x14866,x14864))+E(x14861,f13(f14(f12(x14862,x14863,x14864),x14865,x14864),x14866,x14864))
% 0.55/1.23 [1487]~P67(x14873)+~E(f13(f14(x14871,x14874,x14873),x14875,x14873),f13(f14(x14872,x14874,x14873),x14876,x14873))+E(f13(f14(f12(x14871,x14872,x14873),x14874,x14873),x14875,x14873),x14876)
% 0.55/1.23 [1532]~P63(x15324)+~P13(f13(f14(x15323,x15325,x15324),x15321,x15324),f13(f14(x15322,x15325,x15324),x15326,x15324),x15324)+P13(x15321,f13(f14(f12(x15322,x15323,x15324),x15325,x15324),x15326,x15324),x15324)
% 0.55/1.23 [1533]~P63(x15334)+~P10(f13(f14(x15333,x15335,x15334),x15331,x15334),f13(f14(x15332,x15335,x15334),x15336,x15334),x15334)+P10(x15331,f13(f14(f12(x15332,x15333,x15334),x15335,x15334),x15336,x15334),x15334)
% 0.55/1.23 [1534]~P63(x15343)+~P13(f13(f14(x15341,x15344,x15343),x15345,x15343),f13(f14(x15342,x15344,x15343),x15346,x15343),x15343)+P13(f13(f14(f12(x15341,x15342,x15343),x15344,x15343),x15345,x15343),x15346,x15343)
% 0.55/1.23 [1535]~P63(x15353)+~P10(f13(f14(x15351,x15354,x15353),x15355,x15353),f13(f14(x15352,x15354,x15353),x15356,x15353),x15353)+P10(f13(f14(f12(x15351,x15352,x15353),x15354,x15353),x15355,x15353),x15356,x15353)
% 0.55/1.23 [1537]~P63(x15373)+P13(f13(f14(x15371,x15372,x15373),x15374,x15373),f13(f14(x15375,x15372,x15373),x15376,x15373),x15373)+~P13(x15374,f13(f14(f12(x15375,x15371,x15373),x15372,x15373),x15376,x15373),x15373)
% 0.55/1.23 [1538]~P63(x15383)+P10(f13(f14(x15381,x15382,x15383),x15384,x15383),f13(f14(x15385,x15382,x15383),x15386,x15383),x15383)+~P10(x15384,f13(f14(f12(x15385,x15381,x15383),x15382,x15383),x15386,x15383),x15383)
% 0.55/1.23 [1539]~P63(x15393)+P13(f13(f14(x15391,x15392,x15393),x15394,x15393),f13(f14(x15395,x15392,x15393),x15396,x15393),x15393)+~P13(f13(f14(f12(x15391,x15395,x15393),x15392,x15393),x15394,x15393),x15396,x15393)
% 0.55/1.23 [1540]~P63(x15403)+P10(f13(f14(x15401,x15402,x15403),x15404,x15403),f13(f14(x15405,x15402,x15403),x15406,x15403),x15403)+~P10(f13(f14(f12(x15401,x15405,x15403),x15402,x15403),x15404,x15403),x15406,x15403)
% 0.55/1.23 [949]~P48(x9491)+~P58(x9491)+~P15(x9491)+P10(f4(x9491),f11(f8(x9491),f19(f3(f2(a16)),x9491),x9491),x9491)
% 0.55/1.23 [1378]E(f7(x13781,f19(f3(f3(f2(a16))),a23),a23),f19(f3(f2(a16)),a23))+E(f7(x13781,f19(f3(f3(f2(a16))),a23),a23),f19(f2(f2(a16)),a23))+E(f7(x13781,f19(f3(f3(f2(a16))),a23),a23),f8(a23))+E(f7(x13781,f19(f3(f3(f2(a16))),a23),a23),f4(a23))
% 0.55/1.23 [411]~P47(x4112)+~P48(x4112)+~E(f10(x4111,x4112),f8(x4112))+E(x4111,f8(x4112))
% 0.55/1.23 [499]~P34(x4992)+~P26(x4992)+P10(x4991,f4(x4992),x4992)+E(f9(x4991,x4992),x4991)
% 0.55/1.23 [604]~P34(x6042)+~P26(x6042)+~P10(x6041,f4(x6042),x6042)+E(f9(x6041,x6042),f15(x6041,x6042))
% 0.55/1.23 [745]~P48(x7451)+~P58(x7451)+~P13(f4(x7451),x7452,x7451)+P13(f4(x7451),f10(x7452,x7451),x7451)
% 0.55/1.23 [747]~P48(x7472)+~P58(x7472)+~P13(x7471,f4(x7472),x7472)+P13(f10(x7471,x7472),f4(x7472),x7472)
% 0.55/1.23 [748]~P48(x7482)+~P58(x7482)+~P13(x7481,f4(x7482),x7482)+P13(f10(x7481,x7482),f8(x7482),x7482)
% 0.55/1.23 [750]~P48(x7502)+~P58(x7502)+~P13(x7501,f4(x7502),x7502)+P10(f10(x7501,x7502),f8(x7502),x7502)
% 0.55/1.23 [751]~P48(x7512)+~P58(x7512)+~P13(f8(x7512),x7511,x7512)+P13(f10(x7511,x7512),f8(x7512),x7512)
% 0.55/1.23 [752]~P48(x7522)+~P58(x7522)+~P10(f8(x7522),x7521,x7522)+P10(f10(x7521,x7522),f8(x7522),x7522)
% 0.55/1.23 [775]~P58(x7752)+~P10(f10(x7751,x7752),f4(x7752),x7752)+P10(x7751,f4(x7752),x7752)+E(x7751,f4(x7752))
% 0.55/1.23 [776]~P58(x7762)+~P10(f4(x7762),f10(x7761,x7762),x7762)+P10(f4(x7762),x7761,x7762)+E(x7761,f4(x7762))
% 0.55/1.23 [778]~P48(x7782)+~P58(x7782)+~P13(f8(x7782),f10(x7781,x7782),x7782)+P13(x7781,f8(x7782),x7782)
% 0.55/1.23 [779]~P48(x7792)+~P58(x7792)+~P10(f8(x7792),f10(x7791,x7792),x7792)+P10(x7791,f8(x7792),x7792)
% 0.55/1.23 [780]~P48(x7802)+~P58(x7802)+~P13(f10(x7801,x7802),f4(x7802),x7802)+P13(x7801,f4(x7802),x7802)
% 0.55/1.23 [781]~P48(x7812)+~P58(x7812)+~P10(f10(x7811,x7812),f4(x7812),x7812)+P10(x7811,f4(x7812),x7812)
% 0.55/1.23 [782]~P48(x7821)+~P58(x7821)+~P13(f4(x7821),f10(x7822,x7821),x7821)+P13(f4(x7821),x7822,x7821)
% 0.55/1.23 [783]~P48(x7831)+~P58(x7831)+~P13(f8(x7831),f10(x7832,x7831),x7831)+P10(f4(x7831),x7832,x7831)
% 0.55/1.23 [784]~P48(x7841)+~P58(x7841)+~P10(f4(x7841),f10(x7842,x7841),x7841)+P10(f4(x7841),x7842,x7841)
% 0.55/1.23 [785]~P48(x7851)+~P58(x7851)+~P10(f8(x7851),f10(x7852,x7851),x7851)+P10(f4(x7851),x7852,x7851)
% 0.55/1.23 [489]~P39(x4892)+~P66(x4892)+E(x4891,f4(a23))+E(f20(f4(x4892),x4891,x4892),f4(x4892))
% 0.55/1.23 [538]~P47(x5382)+~P48(x5382)+~P15(x5382)+E(f11(x5381,f19(a16,x5382),x5382),f4(x5382))
% 0.55/1.23 [556]~P47(x5562)+~P48(x5562)+~P15(x5562)+E(f11(x5561,f19(a1,x5562),x5562),f15(x5561,x5562))
% 0.55/1.23 [588]~P39(x5881)+~P66(x5881)+~E(f19(x5882,a23),f4(a23))+E(f20(f4(x5881),f19(x5882,a23),x5881),f8(x5881))
% 0.55/1.23 [591]~P15(x5912)+~P17(x5912)+~P11(f19(x5911,x5912),x5912)+P11(f19(f3(x5911),x5912),x5912)
% 0.55/1.23 [602]~P15(x6022)+~P17(x6022)+P11(f19(x6021,x6022),x6022)+~P11(f19(f3(x6021),x6022),x6022)
% 0.55/1.23 [632]~P51(x6322)+~P15(x6322)+P10(f19(x6321,x6322),f4(x6322),x6322)+E(f9(f19(x6321,x6322),x6322),f19(x6321,x6322))
% 0.55/1.23 [777]~P51(x7772)+~P9(x7771,a23)+P13(f20(f4(x7772),x7771,x7772),f4(x7772),x7772)+E(x7771,f4(a23))
% 0.55/1.23 [826]~P51(x8262)+~P15(x8262)+~P10(f19(x8261,x8262),f4(x8262),x8262)+E(f9(f19(x8261,x8262),x8262),f15(f19(x8261,x8262),x8262))
% 0.55/1.23 [920]~P48(x9201)+~P58(x9201)+~P13(f4(x9201),x9202,x9201)+P13(f4(x9201),f11(f8(x9201),x9202,x9201),x9201)
% 0.55/1.23 [921]~P48(x9211)+~P58(x9211)+~P10(f4(x9211),x9212,x9211)+P10(f4(x9211),f11(f8(x9211),x9212,x9211),x9211)
% 0.55/1.23 [922]~P48(x9221)+~P58(x9221)+~P13(x9222,f4(x9221),x9221)+P13(f11(f8(x9221),x9222,x9221),f4(x9221),x9221)
% 0.55/1.23 [923]~P48(x9231)+~P58(x9231)+~P10(x9232,f4(x9231),x9231)+P10(f11(f8(x9231),x9232,x9231),f4(x9231),x9231)
% 0.55/1.23 [966]~P51(x9662)+~P9(x9661,a23)+~P10(f4(x9662),f20(f4(x9662),x9661,x9662),x9662)+E(x9661,f4(a23))
% 0.55/1.23 [1047]~P48(x10472)+~P58(x10472)+P13(x10471,f4(x10472),x10472)+~P13(f11(f8(x10472),x10471,x10472),f4(x10472),x10472)
% 0.55/1.23 [1048]~P48(x10482)+~P58(x10482)+P10(x10481,f4(x10482),x10482)+~P10(f11(f8(x10482),x10481,x10482),f4(x10482),x10482)
% 0.55/1.23 [1049]~P48(x10491)+~P58(x10491)+P13(f4(x10491),x10492,x10491)+~P13(f4(x10491),f11(f8(x10491),x10492,x10491),x10491)
% 0.55/1.23 [1050]~P48(x10501)+~P58(x10501)+P10(f4(x10501),x10502,x10501)+~P10(f4(x10501),f11(f8(x10501),x10502,x10501),x10501)
% 0.55/1.23 [1057]~P51(x10572)+P10(f4(x10572),f4(x10572),x10572)+~P10(f4(x10572),f20(f4(x10572),x10571,x10572),x10572)+E(x10571,f4(a23))
% 0.55/1.23 [829]~P47(x8291)+~P48(x8291)+~P15(x8291)+E(f15(f11(f8(x8291),x8292,x8291),x8291),f11(f19(a1,x8291),x8292,x8291))
% 0.55/1.23 [578]P10(x5781,x5782,x5783)+~P51(x5783)+E(x5781,x5782)+P10(x5782,x5781,x5783)
% 0.55/1.23 [582]P10(x5821,x5822,x5823)+~P34(x5823)+E(x5821,x5822)+P10(x5822,x5821,x5823)
% 0.55/1.23 [623]~P34(x6233)+~P13(x6231,x6232,x6233)+E(x6231,x6232)+P10(x6231,x6232,x6233)
% 0.55/1.23 [629]~P37(x6293)+~P13(x6291,x6292,x6293)+E(x6291,x6292)+P10(x6291,x6292,x6293)
% 0.55/1.23 [701]~P13(x7012,x7011,x7013)+~P13(x7011,x7012,x7013)+E(x7011,x7012)+~P37(x7013)
% 0.55/1.23 [760]P10(x7602,x7601,x7603)+~P40(x7603)+~P13(x7602,x7601,x7603)+P13(x7601,x7602,x7603)
% 0.55/1.23 [419]~P15(x4193)+~P17(x4193)+E(x4191,x4192)+~E(f19(x4191,x4193),f19(x4192,x4193))
% 0.55/1.23 [420]~P48(x4203)+~P49(x4203)+E(x4201,x4202)+~E(f10(x4201,x4203),f10(x4202,x4203))
% 0.55/1.23 [543]~P47(x5433)+E(x5431,x5432)+~E(f11(x5431,x5432,x5433),f8(x5433))+E(x5432,f4(x5433))
% 0.55/1.23 [544]~P32(x5442)+~P15(x5442)+~E(f13(x5443,x5441,x5442),x5443)+E(x5441,f4(x5442))
% 0.55/1.23 [546]~P32(x5463)+~P15(x5463)+E(x5461,x5462)+~E(f12(x5461,x5462,x5463),f4(x5463))
% 0.55/1.23 [552]~P52(x5522)+~E(f14(x5523,x5521,x5522),f4(x5522))+E(x5521,f4(x5522))+E(x5523,f4(x5522))
% 0.55/1.23 [553]~P69(x5532)+~E(f14(x5533,x5531,x5532),f4(x5532))+E(x5531,f4(x5532))+E(x5533,f4(x5532))
% 0.55/1.23 [744]~P32(x7443)+E(x7441,x7442)+~E(f14(x7441,x7441,x7443),f14(x7442,x7442,x7443))+E(x7441,f15(x7442,x7443))
% 0.55/1.23 [758]~P51(x7582)+P10(f4(x7582),f20(x7581,x7583,x7582),x7582)+~P9(x7583,a23)+E(x7581,f4(x7582))
% 0.55/1.23 [759]~P59(x7591)+~P30(x7591)+P13(f4(x7591),f20(x7592,x7593,x7591),x7591)+~P9(x7593,a23)
% 0.55/1.23 [916]~P51(x9162)+P10(f4(x9162),f20(x9163,x9161,x9162),x9162)+~P10(f4(x9162),x9163,x9162)+P9(x9161,a23)
% 0.55/1.23 [917]~P51(x9173)+~P10(x9172,f4(x9173),x9173)+P10(f20(x9172,x9171,x9173),f4(x9173),x9173)+P9(x9171,a23)
% 0.55/1.23 [929]~P58(x9292)+~P13(x9293,x9291,x9292)+~P10(x9291,f4(x9292),x9292)+P13(f10(x9291,x9292),f10(x9293,x9292),x9292)
% 0.55/1.23 [930]~P58(x9302)+~P10(x9303,x9301,x9302)+~P10(x9301,f4(x9302),x9302)+P10(f10(x9301,x9302),f10(x9303,x9302),x9302)
% 0.55/1.23 [931]~P58(x9312)+~P13(x9313,x9311,x9312)+~P10(f4(x9312),x9313,x9312)+P13(f10(x9311,x9312),f10(x9313,x9312),x9312)
% 0.55/1.23 [932]~P58(x9322)+~P10(x9323,x9321,x9322)+~P10(f4(x9322),x9323,x9322)+P10(f10(x9321,x9322),f10(x9323,x9322),x9322)
% 0.55/1.23 [933]~P51(x9332)+~P13(f20(x9331,x9333,x9332),f4(x9332),x9332)+E(x9331,f4(x9332))+~P9(x9333,a23)
% 0.55/1.23 [946]~P4(x9462)+~P13(x9461,x9463,x9462)+~P13(f15(x9461,x9462),x9463,x9462)+P13(f9(x9461,x9462),x9463,x9462)
% 0.55/1.23 [947]~P51(x9472)+~P10(x9471,x9473,x9472)+~P10(f15(x9471,x9472),x9473,x9472)+P10(f9(x9471,x9472),x9473,x9472)
% 0.55/1.23 [976]~P58(x9763)+P13(x9761,x9762,x9763)+~P10(x9761,f4(x9763),x9763)+~P13(f10(x9762,x9763),f10(x9761,x9763),x9763)
% 0.55/1.23 [977]~P58(x9773)+P10(x9771,x9772,x9773)+~P10(x9771,f4(x9773),x9773)+~P10(f10(x9772,x9773),f10(x9771,x9773),x9773)
% 0.55/1.23 [978]~P58(x9783)+P13(x9781,x9782,x9783)+~P10(f4(x9783),x9782,x9783)+~P13(f10(x9782,x9783),f10(x9781,x9783),x9783)
% 0.55/1.23 [979]~P58(x9793)+P10(x9791,x9792,x9793)+~P10(f4(x9793),x9792,x9793)+~P10(f10(x9792,x9793),f10(x9791,x9793),x9793)
% 0.55/1.23 [1015]~P51(x10152)+~P13(f20(x10151,x10153,x10152),f4(x10152),x10152)+P13(x10151,f4(x10152),x10152)+E(x10151,f4(x10152))
% 0.55/1.23 [1033]~P51(x10333)+~P13(f20(x10332,x10331,x10333),f4(x10333),x10333)+P13(x10332,f4(x10333),x10333)+P9(x10331,a23)
% 0.55/1.23 [1036]~P51(x10362)+~P13(f4(x10362),f20(x10363,x10361,x10362),x10362)+P13(f4(x10362),x10363,x10362)+P9(x10361,a23)
% 0.55/1.23 [1056]~P60(x10561)+~P10(f8(x10561),x10562,x10561)+P10(f8(x10561),f20(x10562,x10563,x10561),x10561)+~P10(f4(a23),x10563,a23)
% 0.55/1.23 [1070]~P59(x10701)+~P13(x10703,f4(x10701),x10701)+~P13(x10702,f4(x10701),x10701)+P13(f4(x10701),f14(x10702,x10703,x10701),x10701)
% 0.55/1.23 [1072]~P63(x10721)+~P13(x10723,f4(x10721),x10721)+~P13(x10722,f4(x10721),x10721)+P13(f4(x10721),f14(x10722,x10723,x10721),x10721)
% 0.55/1.23 [1073]~P58(x10731)+~P13(x10732,f4(x10731),x10731)+~P10(x10733,f4(x10731),x10731)+P13(f4(x10731),f11(x10732,x10733,x10731),x10731)
% 0.55/1.23 [1074]~P59(x10741)+~P10(x10743,f4(x10741),x10741)+~P10(x10742,f4(x10741),x10741)+P10(f4(x10741),f14(x10742,x10743,x10741),x10741)
% 0.55/1.23 [1075]~P58(x10751)+~P10(x10753,f4(x10751),x10751)+~P10(x10752,f4(x10751),x10751)+P10(f4(x10751),f11(x10752,x10753,x10751),x10751)
% 0.55/1.23 [1076]~P59(x10761)+~P13(f4(x10761),x10763,x10761)+~P13(f4(x10761),x10762,x10761)+P13(f4(x10761),f14(x10762,x10763,x10761),x10761)
% 0.55/1.23 [1077]~P63(x10771)+~P13(f4(x10771),x10773,x10771)+~P13(f4(x10771),x10772,x10771)+P13(f4(x10771),f14(x10772,x10773,x10771),x10771)
% 0.55/1.23 [1078]~P64(x10781)+~P13(f4(x10781),x10783,x10781)+~P13(f4(x10781),x10782,x10781)+P13(f4(x10781),f14(x10782,x10783,x10781),x10781)
% 0.55/1.23 [1079]~P35(x10791)+~P13(f4(x10791),x10793,x10791)+~P13(f4(x10791),x10792,x10791)+P13(f4(x10791),f13(x10792,x10793,x10791),x10791)
% 0.55/1.23 [1080]~P58(x10801)+~P13(f4(x10801),x10802,x10801)+~P10(f4(x10801),x10803,x10801)+P13(f4(x10801),f11(x10802,x10803,x10801),x10801)
% 0.55/1.23 [1081]~P61(x10811)+~P10(f4(x10811),x10813,x10811)+~P10(f4(x10811),x10812,x10811)+P10(f4(x10811),f14(x10812,x10813,x10811),x10811)
% 0.55/1.23 [1082]~P35(x10821)+~P13(f4(x10821),x10823,x10821)+~P10(f4(x10821),x10822,x10821)+P10(f4(x10821),f13(x10822,x10823,x10821),x10821)
% 0.55/1.23 [1083]~P35(x10831)+~P13(f4(x10831),x10832,x10831)+~P10(f4(x10831),x10833,x10831)+P10(f4(x10831),f13(x10832,x10833,x10831),x10831)
% 0.55/1.23 [1084]~P35(x10841)+~P10(f4(x10841),x10843,x10841)+~P10(f4(x10841),x10842,x10841)+P10(f4(x10841),f13(x10842,x10843,x10841),x10841)
% 0.55/1.23 [1085]~P58(x10851)+~P10(f4(x10851),x10853,x10851)+~P10(f4(x10851),x10852,x10851)+P10(f4(x10851),f11(x10852,x10853,x10851),x10851)
% 0.55/1.23 [1086]~P60(x10861)+~P10(f8(x10861),x10863,x10861)+~P10(f8(x10861),x10862,x10861)+P10(f8(x10861),f14(x10862,x10863,x10861),x10861)
% 0.55/1.23 [1087]~P35(x10873)+~P13(x10872,f4(x10873),x10873)+~P13(x10871,f4(x10873),x10873)+P13(f13(x10871,x10872,x10873),f4(x10873),x10873)
% 0.55/1.23 [1088]~P35(x10883)+~P13(x10882,f4(x10883),x10883)+~P10(x10881,f4(x10883),x10883)+P10(f13(x10881,x10882,x10883),f4(x10883),x10883)
% 0.55/1.23 [1089]~P35(x10893)+~P13(x10891,f4(x10893),x10893)+~P10(x10892,f4(x10893),x10893)+P10(f13(x10891,x10892,x10893),f4(x10893),x10893)
% 0.55/1.23 [1090]~P35(x10903)+~P10(x10902,f4(x10903),x10903)+~P10(x10901,f4(x10903),x10903)+P10(f13(x10901,x10902,x10903),f4(x10903),x10903)
% 0.55/1.23 [1091]~P59(x10913)+~P13(x10912,f4(x10913),x10913)+~P13(f4(x10913),x10911,x10913)+P13(f14(x10911,x10912,x10913),f4(x10913),x10913)
% 0.55/1.23 [1092]~P59(x10923)+~P13(x10921,f4(x10923),x10923)+~P13(f4(x10923),x10922,x10923)+P13(f14(x10921,x10922,x10923),f4(x10923),x10923)
% 0.55/1.23 [1094]~P64(x10943)+~P13(x10942,f4(x10943),x10943)+~P13(f4(x10943),x10941,x10943)+P13(f14(x10941,x10942,x10943),f4(x10943),x10943)
% 0.55/1.23 [1097]~P64(x10973)+~P13(x10971,f4(x10973),x10973)+~P13(f4(x10973),x10972,x10973)+P13(f14(x10971,x10972,x10973),f4(x10973),x10973)
% 0.55/1.23 [1098]~P58(x10983)+~P13(x10981,f4(x10983),x10983)+~P10(f4(x10983),x10982,x10983)+P13(f11(x10981,x10982,x10983),f4(x10983),x10983)
% 0.55/1.23 [1099]~P58(x10993)+~P10(x10992,f4(x10993),x10993)+~P13(f4(x10993),x10991,x10993)+P13(f11(x10991,x10992,x10993),f4(x10993),x10993)
% 0.55/1.23 [1100]~P61(x11003)+~P10(x11002,f4(x11003),x11003)+~P10(f4(x11003),x11001,x11003)+P10(f14(x11001,x11002,x11003),f4(x11003),x11003)
% 0.55/1.23 [1102]~P61(x11023)+~P10(x11021,f4(x11023),x11023)+~P10(f4(x11023),x11022,x11023)+P10(f14(x11021,x11022,x11023),f4(x11023),x11023)
% 0.55/1.23 [1103]~P58(x11033)+~P10(x11032,f4(x11033),x11033)+~P10(f4(x11033),x11031,x11033)+P10(f11(x11031,x11032,x11033),f4(x11033),x11033)
% 0.55/1.23 [1104]~P58(x11043)+~P10(x11041,f4(x11043),x11043)+~P10(f4(x11043),x11042,x11043)+P10(f11(x11041,x11042,x11043),f4(x11043),x11043)
% 0.55/1.23 [1118]~P59(x11182)+~P13(f14(x11183,x11181,x11182),f4(x11182),x11182)+P13(x11181,f4(x11182),x11182)+P13(x11183,f4(x11182),x11182)
% 0.55/1.23 [1119]~P59(x11192)+~P13(f4(x11192),f14(x11193,x11191,x11192),x11192)+P13(x11191,f4(x11192),x11192)+P13(f4(x11192),x11193,x11192)
% 0.55/1.23 [1120]~P59(x11202)+~P13(f4(x11202),f14(x11201,x11203,x11202),x11202)+P13(x11201,f4(x11202),x11202)+P13(f4(x11202),x11203,x11202)
% 0.55/1.23 [1121]~P59(x11212)+~P13(f4(x11212),f14(x11213,x11211,x11212),x11212)+P13(x11211,f4(x11212),x11212)+P13(f4(x11212),x11211,x11212)
% 0.55/1.23 [1122]~P59(x11222)+~P13(f4(x11222),f14(x11221,x11223,x11222),x11222)+P13(x11221,f4(x11222),x11222)+P13(f4(x11222),x11221,x11222)
% 0.55/1.23 [1123]~P59(x11232)+~P13(f14(x11233,x11231,x11232),f4(x11232),x11232)+P13(x11231,f4(x11232),x11232)+P13(f4(x11232),x11231,x11232)
% 0.55/1.23 [1124]~P59(x11242)+~P13(f14(x11241,x11243,x11242),f4(x11242),x11242)+P13(x11241,f4(x11242),x11242)+P13(f4(x11242),x11241,x11242)
% 0.55/1.23 [1125]~P59(x11251)+~P13(f14(x11252,x11253,x11251),f4(x11251),x11251)+P13(f4(x11251),x11252,x11251)+P13(f4(x11251),x11253,x11251)
% 0.55/1.23 [1161]~P61(x11611)+~P10(f4(x11611),f14(x11613,x11612,x11611),x11611)+P10(f4(x11611),x11612,x11611)+~P10(f4(x11611),x11613,x11611)
% 0.55/1.23 [1162]~P61(x11621)+~P10(f4(x11621),f14(x11622,x11623,x11621),x11621)+P10(f4(x11621),x11622,x11621)+~P10(f4(x11621),x11623,x11621)
% 0.55/1.23 [704]~P47(x7042)+~P48(x7042)+E(x7041,f4(x7042))+E(f14(f11(x7043,x7041,x7042),x7041,x7042),x7043)
% 0.55/1.23 [862]~P49(x8622)+E(x8621,f4(x8622))+E(x8623,f4(x8622))+E(f14(f10(x8621,x8622),f10(x8623,x8622),x8622),f10(f14(x8623,x8621,x8622),x8622))
% 0.55/1.23 [962]~P48(x9622)+~P58(x9622)+~P10(f4(x9622),x9623,x9622)+E(f11(f9(x9621,x9622),x9623,x9622),f9(f11(x9621,x9623,x9622),x9622))
% 0.55/1.23 [1157]~P1(x11572)+~P13(x11573,f4(x11572),x11572)+~P13(x11571,f4(x11572),x11572)+E(f14(f9(x11571,x11572),f9(x11573,x11572),x11572),f9(f14(x11571,x11573,x11572),x11572))
% 0.55/1.23 [1158]~P1(x11582)+~P13(x11583,f4(x11582),x11582)+~P13(f4(x11582),x11581,x11582)+E(f14(f9(x11581,x11582),f9(x11583,x11582),x11582),f9(f14(x11581,x11583,x11582),x11582))
% 0.55/1.23 [1159]~P1(x11592)+~P13(x11591,f4(x11592),x11592)+~P13(f4(x11592),x11593,x11592)+E(f14(f9(x11591,x11592),f9(x11593,x11592),x11592),f9(f14(x11591,x11593,x11592),x11592))
% 0.55/1.23 [1160]~P1(x11602)+~P13(f4(x11602),x11603,x11602)+~P13(f4(x11602),x11601,x11602)+E(f14(f9(x11601,x11602),f9(x11603,x11602),x11602),f9(f14(x11601,x11603,x11602),x11602))
% 0.55/1.23 [1338]~P49(x13382)+E(x13381,f4(x13382))+E(x13383,f4(x13382))+E(f14(f14(f10(x13383,x13382),f13(x13383,x13381,x13382),x13382),f10(x13381,x13382),x13382),f13(f10(x13383,x13382),f10(x13381,x13382),x13382))
% 0.55/1.23 [1339]~P49(x13392)+E(x13391,f4(x13392))+E(x13393,f4(x13392))+E(f14(f14(f10(x13393,x13392),f12(x13391,x13393,x13392),x13392),f10(x13391,x13392),x13392),f12(f10(x13393,x13392),f10(x13391,x13392),x13392))
% 0.55/1.23 [1340]~P47(x13402)+E(x13401,f4(x13402))+E(x13403,f4(x13402))+E(f14(f14(f13(x13403,x13401,x13402),f10(x13403,x13402),x13402),f10(x13401,x13402),x13402),f13(f10(x13403,x13402),f10(x13401,x13402),x13402))
% 0.55/1.23 [1409]~P60(x14093)+~P10(x14091,f8(x14093),x14093)+~P10(f4(x14093),x14091,x14093)+P10(f14(x14091,f20(x14091,x14092,x14093),x14093),f20(x14091,x14092,x14093),x14093)
% 0.55/1.23 [1355]~P60(x13553)+~P10(x13551,f8(x13553),x13553)+~P10(f4(x13553),x13551,x13553)+P10(f20(x13551,f13(x13552,f8(a23),a23),x13553),f8(x13553),x13553)
% 0.55/1.23 [1511]~P49(x15112)+E(x15111,f4(x15112))+E(x15113,f4(x15112))+E(f15(f14(f14(f10(x15113,x15112),f12(x15113,x15111,x15112),x15112),f10(x15111,x15112),x15112),x15112),f12(f10(x15113,x15112),f10(x15111,x15112),x15112))
% 0.55/1.23 [1484]~P60(x14843)+P13(x14841,x14842,x14843)+~P13(f4(x14843),x14842,x14843)+~P13(f20(x14841,f19(f3(f2(a16)),a23),x14843),f20(x14842,f19(f3(f2(a16)),a23),x14843),x14843)
% 0.55/1.23 [834]~P37(x8343)+~P13(x8341,x8344,x8343)+P13(x8341,x8342,x8343)+~P13(x8344,x8342,x8343)
% 0.55/1.23 [835]~P40(x8353)+~P13(x8351,x8354,x8353)+P13(x8351,x8352,x8353)+~P13(x8354,x8352,x8353)
% 0.55/1.23 [836]~P37(x8363)+~P10(x8361,x8364,x8363)+P10(x8361,x8362,x8363)+~P13(x8364,x8362,x8363)
% 0.55/1.23 [837]~P37(x8373)+~P10(x8374,x8372,x8373)+P10(x8371,x8372,x8373)+~P13(x8371,x8374,x8373)
% 0.55/1.23 [838]~P37(x8383)+~P10(x8381,x8384,x8383)+P10(x8381,x8382,x8383)+~P10(x8384,x8382,x8383)
% 0.55/1.23 [839]~P40(x8393)+~P10(x8391,x8394,x8393)+P10(x8391,x8392,x8393)+~P13(x8394,x8392,x8393)
% 0.55/1.23 [840]~P40(x8403)+~P10(x8404,x8402,x8403)+P10(x8401,x8402,x8403)+~P13(x8401,x8404,x8403)
% 0.55/1.23 [841]~P40(x8413)+~P10(x8411,x8414,x8413)+P10(x8411,x8412,x8413)+~P10(x8414,x8412,x8413)
% 0.55/1.23 [842]~P33(x8423)+~P12(x8421,x8424,x8423)+P12(x8421,x8422,x8423)+~P12(x8424,x8422,x8423)
% 0.55/1.23 [718]~P32(x7184)+~P15(x7184)+E(x7181,x7182)+~E(f13(x7183,x7181,x7184),f13(x7183,x7182,x7184))
% 0.55/1.23 [899]~P60(x8994)+E(x8991,x8992)+~P10(f8(x8994),x8993,x8994)+~E(f20(x8993,x8991,x8994),f20(x8993,x8992,x8994))
% 0.55/1.23 [1022]~P33(x10224)+~P12(x10221,x10223,x10224)+~P12(x10221,x10222,x10224)+P12(x10221,f13(x10222,x10223,x10224),x10224)
% 0.55/1.23 [1024]~P7(x10244)+~P12(x10241,x10243,x10244)+~P12(x10241,x10242,x10244)+P12(x10241,f7(x10242,x10243,x10244),x10244)
% 0.55/1.23 [1025]~P43(x10254)+~P12(x10251,x10253,x10254)+~P12(x10251,x10252,x10254)+P12(x10251,f12(x10252,x10253,x10254),x10254)
% 0.55/1.23 [1039]~P60(x10394)+~P10(x10391,x10393,x10394)+~P10(f4(x10394),x10392,x10394)+P10(x10391,f13(x10392,x10393,x10394),x10394)
% 0.55/1.23 [1115]~P51(x11153)+~P13(x11152,x11154,x11153)+P13(f20(x11152,x11151,x11153),f20(x11154,x11151,x11153),x11153)+P9(x11151,a23)
% 0.55/1.23 [1149]~P7(x11493)+P12(x11491,x11492,x11493)+~P12(x11491,x11494,x11493)+~P12(x11491,f7(x11492,x11494,x11493),x11493)
% 0.55/1.23 [1215]~P60(x12153)+~P10(x12152,x12154,a23)+~P10(f8(x12153),x12151,x12153)+P10(f20(x12151,x12152,x12153),f20(x12151,x12154,x12153),x12153)
% 0.55/1.23 [1218]~P63(x12183)+~P13(x12184,x12181,x12183)+~P13(x12182,f4(x12183),x12183)+P13(f14(x12181,x12182,x12183),f14(x12184,x12182,x12183),x12183)
% 0.55/1.23 [1219]~P59(x12193)+~P13(x12194,x12192,x12193)+~P10(x12191,f4(x12193),x12193)+P13(f14(x12191,x12192,x12193),f14(x12191,x12194,x12193),x12193)
% 0.55/1.23 [1220]~P63(x12203)+~P13(x12204,x12202,x12203)+~P13(x12201,f4(x12203),x12203)+P13(f14(x12201,x12202,x12203),f14(x12201,x12204,x12203),x12203)
% 0.55/1.23 [1222]~P59(x12223)+~P10(x12224,x12221,x12223)+~P10(x12222,f4(x12223),x12223)+P10(f14(x12221,x12222,x12223),f14(x12224,x12222,x12223),x12223)
% 0.55/1.23 [1225]~P59(x12253)+~P10(x12254,x12252,x12253)+~P10(x12251,f4(x12253),x12253)+P10(f14(x12251,x12252,x12253),f14(x12251,x12254,x12253),x12253)
% 0.55/1.23 [1226]~P58(x12263)+~P10(x12264,x12261,x12263)+~P10(x12262,f4(x12263),x12263)+P10(f11(x12261,x12262,x12263),f11(x12264,x12262,x12263),x12263)
% 0.55/1.23 [1227]~P55(x12273)+~P13(x12271,x12274,x12273)+~P13(f4(x12273),x12272,x12273)+P13(f14(x12271,x12272,x12273),f14(x12274,x12272,x12273),x12273)
% 0.55/1.23 [1228]~P59(x12283)+~P13(x12282,x12284,x12283)+~P10(f4(x12283),x12281,x12283)+P13(f14(x12281,x12282,x12283),f14(x12281,x12284,x12283),x12283)
% 0.55/1.23 [1229]~P54(x12293)+~P13(x12292,x12294,x12293)+~P13(f4(x12293),x12291,x12293)+P13(f14(x12291,x12292,x12293),f14(x12291,x12294,x12293),x12293)
% 0.55/1.23 [1230]~P55(x12303)+~P13(x12302,x12304,x12303)+~P13(f4(x12303),x12301,x12303)+P13(f14(x12301,x12302,x12303),f14(x12301,x12304,x12303),x12303)
% 0.55/1.23 [1231]~P60(x12313)+~P13(x12311,x12314,x12313)+~P13(f4(x12313),x12311,x12313)+P13(f20(x12311,x12312,x12313),f20(x12314,x12312,x12313),x12313)
% 0.55/1.23 [1232]~P59(x12323)+~P10(x12321,x12324,x12323)+~P10(f4(x12323),x12322,x12323)+P10(f14(x12321,x12322,x12323),f14(x12324,x12322,x12323),x12323)
% 0.55/1.23 [1233]~P61(x12333)+~P10(x12331,x12334,x12333)+~P10(f4(x12333),x12332,x12333)+P10(f14(x12331,x12332,x12333),f14(x12334,x12332,x12333),x12333)
% 0.55/1.23 [1235]~P59(x12353)+~P10(x12352,x12354,x12353)+~P10(f4(x12353),x12351,x12353)+P10(f14(x12351,x12352,x12353),f14(x12351,x12354,x12353),x12353)
% 0.55/1.23 [1236]~P61(x12363)+~P10(x12362,x12364,x12363)+~P10(f4(x12363),x12361,x12363)+P10(f14(x12361,x12362,x12363),f14(x12361,x12364,x12363),x12363)
% 0.55/1.23 [1237]~P57(x12373)+~P10(x12372,x12374,x12373)+~P10(f4(x12373),x12371,x12373)+P10(f14(x12371,x12372,x12373),f14(x12371,x12374,x12373),x12373)
% 0.55/1.23 [1238]~P58(x12383)+~P10(x12381,x12384,x12383)+~P10(f4(x12383),x12382,x12383)+P10(f11(x12381,x12382,x12383),f11(x12384,x12382,x12383),x12383)
% 0.55/1.23 [1245]~P51(x12453)+~P13(f9(x12451,x12453),f9(x12454,x12453),x12453)+P13(f20(x12451,x12452,x12453),f20(x12454,x12452,x12453),x12453)+~P9(x12452,a23)
% 0.55/1.23 [1265]~P32(x12652)+P12(x12653,x12654,x12652)+~P12(f14(x12651,x12653,x12652),f14(x12651,x12654,x12652),x12652)+E(x12651,f4(x12652))
% 0.55/1.23 [1266]~P32(x12662)+P12(x12663,x12664,x12662)+~P12(f14(x12663,x12661,x12662),f14(x12664,x12661,x12662),x12662)+E(x12661,f4(x12662))
% 0.55/1.23 [1283]~P58(x12834)+~P10(f4(x12834),x12833,x12834)+~P13(f14(x12831,x12833,x12834),x12832,x12834)+P13(x12831,f11(x12832,x12833,x12834),x12834)
% 0.55/1.23 [1284]~P58(x12844)+~P10(f4(x12844),x12843,x12844)+~P10(f14(x12841,x12843,x12844),x12842,x12844)+P10(x12841,f11(x12842,x12843,x12844),x12844)
% 0.55/1.23 [1285]~P58(x12853)+~P10(f4(x12853),x12852,x12853)+~P13(x12851,f14(x12854,x12852,x12853),x12853)+P13(f11(x12851,x12852,x12853),x12854,x12853)
% 0.55/1.23 [1286]~P58(x12863)+~P10(f4(x12863),x12862,x12863)+~P10(x12861,f14(x12864,x12862,x12863),x12863)+P10(f11(x12861,x12862,x12863),x12864,x12863)
% 0.55/1.23 [1303]P10(x13032,x13031,x13033)+~P59(x13033)+P10(x13031,x13032,x13033)+~P10(f14(x13034,x13031,x13033),f14(x13034,x13032,x13033),x13033)
% 0.55/1.23 [1304]P10(x13042,x13041,x13043)+~P59(x13043)+P10(x13041,x13042,x13043)+~P10(f14(x13041,x13044,x13043),f14(x13042,x13044,x13043),x13043)
% 0.55/1.23 [1317]~P59(x13173)+P10(x13171,x13172,x13173)+~P10(f14(x13171,x13174,x13173),f14(x13172,x13174,x13173),x13173)+P10(x13174,f4(x13173),x13173)
% 0.55/1.23 [1318]~P59(x13183)+P10(x13181,x13182,x13183)+~P10(f14(x13184,x13181,x13183),f14(x13184,x13182,x13183),x13183)+P10(x13184,f4(x13183),x13183)
% 0.55/1.23 [1319]~P59(x13193)+P10(x13191,x13192,x13193)+~P10(f14(x13194,x13192,x13193),f14(x13194,x13191,x13193),x13193)+P10(f4(x13193),x13194,x13193)
% 0.55/1.23 [1320]~P59(x13203)+P10(x13201,x13202,x13203)+~P10(f14(x13202,x13204,x13203),f14(x13201,x13204,x13203),x13203)+P10(f4(x13203),x13204,x13203)
% 0.55/1.23 [1325]~P59(x13252)+~P10(f14(x13253,x13251,x13252),f14(x13254,x13251,x13252),x13252)+P10(x13251,f4(x13252),x13252)+P10(f4(x13252),x13251,x13252)
% 0.55/1.23 [1326]~P59(x13262)+~P10(f14(x13261,x13263,x13262),f14(x13261,x13264,x13262),x13262)+P10(x13261,f4(x13262),x13262)+P10(f4(x13262),x13261,x13262)
% 0.55/1.23 [1342]~P60(x13423)+~P10(f20(x13424,x13421,x13423),f20(x13424,x13422,x13423),x13423)+P10(x13421,x13422,a23)+~P10(f8(x13423),x13424,x13423)
% 0.55/1.23 [1343]~P59(x13433)+P13(x13431,x13432,x13433)+~P13(f14(x13434,x13432,x13433),f14(x13434,x13431,x13433),x13433)+~P10(x13434,f4(x13433),x13433)
% 0.55/1.23 [1344]~P59(x13443)+P10(x13441,x13442,x13443)+~P10(f14(x13444,x13442,x13443),f14(x13444,x13441,x13443),x13443)+~P10(x13444,f4(x13443),x13443)
% 0.55/1.23 [1345]~P59(x13453)+P13(x13451,x13452,x13453)+~P13(f14(x13454,x13451,x13453),f14(x13454,x13452,x13453),x13453)+~P10(f4(x13453),x13454,x13453)
% 0.55/1.23 [1346]~P61(x13463)+P13(x13461,x13462,x13463)+~P13(f14(x13464,x13461,x13463),f14(x13464,x13462,x13463),x13463)+~P10(f4(x13463),x13464,x13463)
% 0.55/1.23 [1347]~P61(x13473)+P13(x13471,x13472,x13473)+~P13(f14(x13471,x13474,x13473),f14(x13472,x13474,x13473),x13473)+~P10(f4(x13473),x13474,x13473)
% 0.55/1.23 [1348]~P59(x13483)+P10(x13481,x13482,x13483)+~P10(f14(x13484,x13481,x13483),f14(x13484,x13482,x13483),x13483)+~P10(f4(x13483),x13484,x13483)
% 0.55/1.23 [1349]~P60(x13493)+P10(x13491,x13492,x13493)+~P13(f4(x13493),x13492,x13493)+~P10(f20(x13491,x13494,x13493),f20(x13492,x13494,x13493),x13493)
% 0.55/1.23 [1350]~P61(x13503)+P10(x13501,x13502,x13503)+~P10(f14(x13504,x13501,x13503),f14(x13504,x13502,x13503),x13503)+~P13(f4(x13503),x13504,x13503)
% 0.55/1.23 [1351]~P61(x13513)+P10(x13511,x13512,x13513)+~P10(f14(x13511,x13514,x13513),f14(x13512,x13514,x13513),x13513)+~P13(f4(x13513),x13514,x13513)
% 0.55/1.23 [1352]~P62(x13523)+P10(x13521,x13522,x13523)+~P10(f14(x13524,x13521,x13523),f14(x13524,x13522,x13523),x13523)+~P13(f4(x13523),x13524,x13523)
% 0.55/1.23 [1353]~P62(x13533)+P10(x13531,x13532,x13533)+~P10(f14(x13531,x13534,x13533),f14(x13532,x13534,x13533),x13533)+~P13(f4(x13533),x13534,x13533)
% 0.55/1.23 [1028]~P47(x10282)+~P48(x10282)+E(x10281,f4(x10282))+E(f11(f14(x10283,x10281,x10282),f14(x10284,x10281,x10282),x10282),f11(x10283,x10284,x10282))
% 0.55/1.23 [1029]~P47(x10292)+~P48(x10292)+E(x10291,f4(x10292))+E(f11(f14(x10291,x10293,x10292),f14(x10291,x10294,x10292),x10292),f11(x10293,x10294,x10292))
% 0.55/1.23 [1478]~P51(x14783)+~P10(x14781,f13(x14782,x14784,x14783),x14783)+~P10(f12(x14782,x14784,x14783),x14781,x14783)+P10(f9(f12(x14781,x14782,x14783),x14783),x14784,x14783)
% 0.55/1.23 [1331]~P47(x13312)+~P48(x13312)+E(x13311,f4(x13312))+E(f11(f13(x13313,f14(x13314,x13311,x13312),x13312),x13311,x13312),f13(x13314,f11(x13313,x13311,x13312),x13312))
% 0.55/1.23 [1332]~P47(x13322)+~P48(x13322)+E(x13321,f4(x13322))+E(f11(f13(x13323,f14(x13324,x13321,x13322),x13322),x13321,x13322),f13(f11(x13323,x13321,x13322),x13324,x13322))
% 0.55/1.23 [1523]~P60(x15233)+P13(x15231,x15232,x15233)+~P13(f4(x15233),x15232,x15233)+~P13(f20(x15231,f13(x15234,f8(a23),a23),x15233),f20(x15232,f13(x15234,f8(a23),a23),x15233),x15233)
% 0.55/1.23 [1541]~P38(x15412)+E(x15411,f4(x15412))+E(x15413,f4(x15412))+E(f15(f14(f14(f10(x15413,x15412),f11(f12(x15413,x15411,x15412),x15414,x15412),x15412),f10(x15411,x15412),x15412),x15412),f11(f12(f10(x15413,x15412),f10(x15411,x15412),x15412),x15414,x15412))
% 0.55/1.23 [969]~P28(x9693)+~P13(x9695,x9694,x9693)+P13(x9691,x9692,x9693)+~E(f12(x9694,x9695,x9693),f12(x9692,x9691,x9693))
% 0.55/1.23 [970]~P28(x9703)+~P13(x9705,x9704,x9703)+P13(x9701,x9702,x9703)+~E(f12(x9702,x9701,x9703),f12(x9704,x9705,x9703))
% 0.55/1.23 [971]~P28(x9713)+~P10(x9714,x9715,x9713)+P10(x9711,x9712,x9713)+~E(f12(x9714,x9715,x9713),f12(x9711,x9712,x9713))
% 0.55/1.23 [972]~P28(x9723)+~P10(x9724,x9725,x9723)+P10(x9721,x9722,x9723)+~E(f12(x9721,x9722,x9723),f12(x9724,x9725,x9723))
% 0.55/1.23 [1204]~P3(x12043)+~P13(x12042,x12045,x12043)+~P13(x12041,x12044,x12043)+P13(f13(x12041,x12042,x12043),f13(x12044,x12045,x12043),x12043)
% 0.55/1.23 [1205]~P36(x12053)+~P13(x12052,x12055,x12053)+~P10(x12051,x12054,x12053)+P10(f13(x12051,x12052,x12053),f13(x12054,x12055,x12053),x12053)
% 0.55/1.23 [1206]~P36(x12063)+~P13(x12061,x12064,x12063)+~P10(x12062,x12065,x12063)+P10(f13(x12061,x12062,x12063),f13(x12064,x12065,x12063),x12063)
% 0.55/1.23 [1207]~P36(x12073)+~P10(x12072,x12075,x12073)+~P10(x12071,x12074,x12073)+P10(f13(x12071,x12072,x12073),f13(x12074,x12075,x12073),x12073)
% 0.55/1.23 [1208]~P33(x12083)+~P12(x12082,x12085,x12083)+~P12(x12081,x12084,x12083)+P12(f14(x12081,x12082,x12083),f14(x12084,x12085,x12083),x12083)
% 0.55/1.23 [1276]~P28(x12764)+~P13(x12765,x12763,x12764)+~P13(x12761,f13(x12762,x12765,x12764),x12764)+P13(x12761,f13(x12762,x12763,x12764),x12764)
% 0.55/1.23 [1389]~P51(x13892)+~P10(f9(x13891,x13892),x13894,x13892)+~P10(f9(x13893,x13892),x13895,x13892)+P10(f14(f9(x13891,x13892),f9(x13893,x13892),x13892),f14(x13894,x13895,x13892),x13892)
% 0.55/1.23 [1497]~P47(x14972)+E(x14971,f4(x14972))+E(x14973,f4(x14972))+E(f11(f13(f14(x14974,x14971,x14972),f14(x14975,x14973,x14972),x14972),f14(x14973,x14971,x14972),x14972),f13(f11(x14974,x14973,x14972),f11(x14975,x14971,x14972),x14972))
% 0.55/1.23 [1498]~P47(x14982)+E(x14981,f4(x14982))+E(x14983,f4(x14982))+E(f11(f12(f14(x14984,x14981,x14982),f14(x14985,x14983,x14982),x14982),f14(x14983,x14981,x14982),x14982),f12(f11(x14984,x14983,x14982),f11(x14985,x14981,x14982),x14982))
% 0.55/1.23 [1406]~P7(x14063)+~E(f7(x14061,x14064,x14063),f7(x14065,x14064,x14063))+~E(f7(x14062,x14064,x14063),f7(x14066,x14064,x14063))+E(f7(f14(x14061,x14062,x14063),x14064,x14063),f7(f14(x14065,x14066,x14063),x14064,x14063))
% 0.55/1.23 [1407]~P7(x14073)+~E(f7(x14071,x14074,x14073),f7(x14075,x14074,x14073))+~E(f7(x14072,x14074,x14073),f7(x14076,x14074,x14073))+E(f7(f13(x14071,x14072,x14073),x14074,x14073),f7(f13(x14075,x14076,x14073),x14074,x14073))
% 0.55/1.23 [1408]~P8(x14083)+~E(f7(x14081,x14084,x14083),f7(x14085,x14084,x14083))+~E(f7(x14082,x14084,x14083),f7(x14086,x14084,x14083))+E(f7(f12(x14081,x14082,x14083),x14084,x14083),f7(f12(x14085,x14086,x14083),x14084,x14083))
% 0.55/1.23 [894]~P48(x8942)+~P58(x8942)+P13(f8(x8942),x8941,x8942)+~P13(f10(x8941,x8942),f8(x8942),x8942)+P13(x8941,f4(x8942),x8942)
% 0.55/1.23 [895]~P48(x8952)+~P58(x8952)+P10(f8(x8952),x8951,x8952)+~P10(f10(x8951,x8952),f8(x8952),x8952)+P13(x8951,f4(x8952),x8952)
% 0.55/1.23 [926]~P48(x9261)+~P58(x9261)+~P10(f4(x9261),x9262,x9261)+~P13(x9262,f8(x9261),x9261)+P13(f8(x9261),f10(x9262,x9261),x9261)
% 0.55/1.23 [927]~P48(x9271)+~P58(x9271)+~P10(f4(x9271),x9272,x9271)+~P10(x9272,f8(x9271),x9271)+P10(f8(x9271),f10(x9272,x9271),x9271)
% 0.55/1.23 [587]~P65(x5872)+~P39(x5872)+~P52(x5872)+~P53(x5872)+~E(f20(x5871,f4(a23),x5872),f4(x5872))
% 0.55/1.23 [1117]~P48(x11171)+~P58(x11171)+~P15(x11171)+~P10(f4(x11171),x11172,x11171)+P10(f4(x11171),f11(x11172,f19(f3(f2(a16)),x11171),x11171),x11171)
% 0.55/1.23 [1271]~P48(x12711)+~P58(x12711)+~P15(x12711)+P10(f4(x12711),x12712,x12711)+~P10(f4(x12711),f11(x12712,f19(f3(f2(a16)),x12711),x12711),x12711)
% 0.55/1.23 [428]~P49(x4283)+E(x4281,x4282)+~E(f10(x4281,x4283),f10(x4282,x4283))+E(x4282,f4(x4283))+E(x4281,f4(x4283))
% 0.55/1.23 [919]~P51(x9193)+~P13(x9192,f4(x9193),x9193)+P13(f20(x9192,x9191,x9193),f4(x9193),x9193)+P9(x9191,a23)+E(x9191,f4(a23))
% 0.55/1.23 [934]~P35(x9342)+~P13(f4(x9342),x9341,x9342)+~P13(f4(x9342),x9343,x9342)+~E(f13(x9343,x9341,x9342),f4(x9342))+E(x9341,f4(x9342))
% 0.55/1.23 [935]~P35(x9352)+~P13(f4(x9352),x9353,x9352)+~P13(f4(x9352),x9351,x9352)+~E(f13(x9351,x9353,x9352),f4(x9352))+E(x9351,f4(x9352))
% 0.55/1.23 [1037]~P51(x10372)+~P10(f4(x10372),f20(x10373,x10371,x10372),x10372)+P10(f4(x10372),x10373,x10372)+P9(x10371,a23)+E(x10371,f4(a23))
% 0.55/1.23 [1107]~P48(x11071)+~P58(x11071)+~P13(x11073,f4(x11071),x11071)+~P13(x11072,f4(x11071),x11071)+P13(f4(x11071),f11(x11072,x11073,x11071),x11071)
% 0.55/1.23 [1109]~P48(x11091)+~P58(x11091)+~P13(f4(x11091),x11093,x11091)+~P13(f4(x11091),x11092,x11091)+P13(f4(x11091),f11(x11092,x11093,x11091),x11091)
% 0.55/1.23 [1111]~P48(x11113)+~P58(x11113)+~P13(x11112,f4(x11113),x11113)+~P13(f4(x11113),x11111,x11113)+P13(f11(x11111,x11112,x11113),f4(x11113),x11113)
% 0.55/1.23 [1112]~P48(x11123)+~P58(x11123)+~P13(x11121,f4(x11123),x11123)+~P13(f4(x11123),x11122,x11123)+P13(f11(x11121,x11122,x11123),f4(x11123),x11123)
% 0.55/1.23 [1131]~P48(x11312)+~P58(x11312)+~P13(f11(x11313,x11311,x11312),f4(x11312),x11312)+P13(x11311,f4(x11312),x11312)+P13(x11313,f4(x11312),x11312)
% 0.55/1.23 [1132]~P48(x11322)+~P58(x11322)+~P10(f11(x11323,x11321,x11322),f4(x11322),x11322)+P10(x11321,f4(x11322),x11322)+P10(x11323,f4(x11322),x11322)
% 0.55/1.23 [1133]~P48(x11332)+~P58(x11332)+~P13(f4(x11332),f11(x11333,x11331,x11332),x11332)+P13(x11331,f4(x11332),x11332)+P13(f4(x11332),x11333,x11332)
% 0.55/1.23 [1134]~P48(x11342)+~P58(x11342)+~P13(f4(x11342),f11(x11341,x11343,x11342),x11342)+P13(x11341,f4(x11342),x11342)+P13(f4(x11342),x11343,x11342)
% 0.55/1.23 [1135]~P48(x11352)+~P58(x11352)+~P13(f4(x11352),f11(x11353,x11351,x11352),x11352)+P13(x11351,f4(x11352),x11352)+P13(f4(x11352),x11351,x11352)
% 0.55/1.23 [1136]~P48(x11362)+~P58(x11362)+~P13(f4(x11362),f11(x11361,x11363,x11362),x11362)+P13(x11361,f4(x11362),x11362)+P13(f4(x11362),x11361,x11362)
% 0.55/1.23 [1137]~P48(x11372)+~P58(x11372)+~P10(f4(x11372),f11(x11373,x11371,x11372),x11372)+P10(x11371,f4(x11372),x11372)+P10(f4(x11372),x11373,x11372)
% 0.55/1.23 [1138]~P48(x11382)+~P58(x11382)+~P10(f4(x11382),f11(x11381,x11383,x11382),x11382)+P10(x11381,f4(x11382),x11382)+P10(f4(x11382),x11383,x11382)
% 0.55/1.23 [1139]~P48(x11392)+~P58(x11392)+~P10(f4(x11392),f11(x11393,x11391,x11392),x11392)+P10(x11391,f4(x11392),x11392)+P10(f4(x11392),x11391,x11392)
% 0.55/1.23 [1140]~P48(x11402)+~P58(x11402)+~P10(f4(x11402),f11(x11401,x11403,x11402),x11402)+P10(x11401,f4(x11402),x11402)+P10(f4(x11402),x11401,x11402)
% 0.55/1.23 [1141]~P48(x11412)+~P58(x11412)+~P13(f11(x11413,x11411,x11412),f4(x11412),x11412)+P13(x11411,f4(x11412),x11412)+P13(f4(x11412),x11411,x11412)
% 0.55/1.23 [1142]~P48(x11422)+~P58(x11422)+~P13(f11(x11421,x11423,x11422),f4(x11422),x11422)+P13(x11421,f4(x11422),x11422)+P13(f4(x11422),x11421,x11422)
% 0.55/1.23 [1143]~P48(x11432)+~P58(x11432)+~P10(f11(x11433,x11431,x11432),f4(x11432),x11432)+P10(x11431,f4(x11432),x11432)+P10(f4(x11432),x11431,x11432)
% 0.55/1.23 [1144]~P48(x11442)+~P58(x11442)+~P10(f11(x11441,x11443,x11442),f4(x11442),x11442)+P10(x11441,f4(x11442),x11442)+P10(f4(x11442),x11441,x11442)
% 0.55/1.23 [1145]~P48(x11451)+~P58(x11451)+~P13(f11(x11452,x11453,x11451),f4(x11451),x11451)+P13(f4(x11451),x11452,x11451)+P13(f4(x11451),x11453,x11451)
% 0.55/1.23 [1146]~P48(x11461)+~P58(x11461)+~P10(f11(x11462,x11463,x11461),f4(x11461),x11461)+P10(f4(x11461),x11462,x11461)+P10(f4(x11461),x11463,x11461)
% 0.55/1.23 [1216]~P51(x12163)+~P13(x12161,f8(x12163),x12163)+~P13(f4(x12163),x12162,x12163)+~P13(f4(x12163),x12161,x12163)+P13(f14(x12161,x12162,x12163),x12162,x12163)
% 0.55/1.23 [1217]~P51(x12173)+~P13(x12172,f8(x12173),x12173)+~P13(f4(x12173),x12172,x12173)+~P13(f4(x12173),x12171,x12173)+P13(f14(x12171,x12172,x12173),x12171,x12173)
% 0.55/1.23 [585]~P47(x5852)+~P48(x5852)+~P6(x5852)+~E(f19(x5851,x5852),f4(x5852))+E(f19(x5851,x5852),f11(x5853,f4(x5852),x5852))
% 0.55/1.23 [586]~P47(x5862)+~P48(x5862)+~P6(x5862)+~E(f19(x5863,x5862),f4(x5862))+E(f11(x5861,f4(x5862),x5862),f19(x5863,x5862))
% 0.55/1.23 [598]~P47(x5983)+~P48(x5983)+~P6(x5983)+~E(f19(x5982,x5983),f4(x5983))+E(f11(x5981,f19(x5982,x5983),x5983),f4(x5983))
% 0.55/1.23 [633]~P47(x6332)+~P48(x6332)+~P6(x6332)+E(f19(x6331,x6332),f4(x6332))+~E(f19(x6331,x6332),f11(x6333,f4(x6332),x6332))
% 0.55/1.23 [634]~P47(x6342)+~P48(x6342)+~P6(x6342)+E(f19(x6341,x6342),f4(x6342))+~E(f11(x6343,f4(x6342),x6342),f19(x6341,x6342))
% 0.55/1.23 [904]~P47(x9042)+~P48(x9042)+~P6(x9042)+~E(f19(x9041,x9042),f4(x9042))+E(f11(f14(f19(x9041,x9042),x9043,x9042),x9043,x9042),f19(x9041,x9042))
% 0.55/1.23 [1287]~P60(x12873)+E(x12871,x12872)+~P13(f4(x12873),x12872,x12873)+~P13(f4(x12873),x12871,x12873)+~E(f20(x12871,f19(f3(f2(a16)),a23),x12873),f20(x12872,f19(f3(f2(a16)),a23),x12873))
% 0.55/1.23 [1051]~P2(x10514)+~P19(x10514)+~P13(x10511,x10513,x10514)+~P13(f4(x10514),x10512,x10514)+P13(x10511,f13(x10512,x10513,x10514),x10514)
% 0.55/1.23 [1052]~P2(x10524)+~P19(x10524)+~P13(x10521,x10522,x10524)+~P13(f4(x10524),x10523,x10524)+P13(x10521,f13(x10522,x10523,x10524),x10524)
% 0.55/1.23 [1053]~P2(x10534)+~P19(x10534)+~P13(x10531,x10533,x10534)+~P10(f4(x10534),x10532,x10534)+P10(x10531,f13(x10532,x10533,x10534),x10534)
% 0.55/1.23 [1054]~P2(x10544)+~P19(x10544)+~P10(x10541,x10543,x10544)+~P13(f4(x10544),x10542,x10544)+P10(x10541,f13(x10542,x10543,x10544),x10544)
% 0.55/1.23 [1246]~P48(x12463)+~P58(x12463)+~P13(x12464,x12461,x12463)+~P13(x12462,f4(x12463),x12463)+P13(f11(x12461,x12462,x12463),f11(x12464,x12462,x12463),x12463)
% 0.55/1.23 [1247]~P48(x12473)+~P58(x12473)+~P13(x12471,x12474,x12473)+~P13(f4(x12473),x12472,x12473)+P13(f11(x12471,x12472,x12473),f11(x12474,x12472,x12473),x12473)
% 0.55/1.23 [1292]~P48(x12924)+~P58(x12924)+~P10(f4(x12924),x12923,x12924)+~P13(f11(x12921,x12923,x12924),x12922,x12924)+P13(x12921,f14(x12922,x12923,x12924),x12924)
% 0.55/1.23 [1294]~P48(x12944)+~P58(x12944)+~P10(f4(x12944),x12943,x12944)+~P10(f11(x12941,x12943,x12944),x12942,x12944)+P10(x12941,f14(x12942,x12943,x12944),x12944)
% 0.55/1.23 [1296]~P48(x12963)+~P58(x12963)+~P10(f4(x12963),x12962,x12963)+~P13(x12961,f11(x12964,x12962,x12963),x12963)+P13(f14(x12961,x12962,x12963),x12964,x12963)
% 0.55/1.23 [1298]~P48(x12983)+~P58(x12983)+~P10(f4(x12983),x12982,x12983)+~P10(x12981,f11(x12984,x12982,x12983),x12983)+P10(f14(x12981,x12982,x12983),x12984,x12983)
% 0.55/1.23 [1321]~P60(x13213)+~P10(x13211,x13214,x13213)+~P13(f4(x13213),x13211,x13213)+P10(f20(x13211,x13212,x13213),f20(x13214,x13212,x13213),x13213)+~P10(f4(a23),x13212,a23)
% 0.55/1.23 [1327]~P60(x13273)+~P10(x13274,x13272,a23)+~P10(x13271,f8(x13273),x13273)+~P10(f4(x13273),x13271,x13273)+P10(f20(x13271,x13272,x13273),f20(x13271,x13274,x13273),x13273)
% 0.55/1.23 [1431]~P58(x14313)+~P10(x14312,x14314,x14313)+~P10(x14311,f4(x14313),x14313)+~P10(f4(x14313),f14(x14312,x14314,x14313),x14313)+P10(f11(x14311,x14312,x14313),f11(x14311,x14314,x14313),x14313)
% 0.55/1.23 [1432]~P58(x14323)+~P13(x14324,x14322,x14323)+~P13(f4(x14323),x14321,x14323)+~P10(f4(x14323),f14(x14322,x14324,x14323),x14323)+P13(f11(x14321,x14322,x14323),f11(x14321,x14324,x14323),x14323)
% 0.55/1.23 [1433]~P58(x14333)+~P10(x14334,x14332,x14333)+~P10(f4(x14333),x14331,x14333)+~P10(f4(x14333),f14(x14332,x14334,x14333),x14333)+P10(f11(x14331,x14332,x14333),f11(x14331,x14334,x14333),x14333)
% 0.55/1.23 [1430]~P60(x14304)+E(x14301,x14302)+~P13(f4(x14304),x14302,x14304)+~P13(f4(x14304),x14301,x14304)+~E(f20(x14301,f13(x14303,f8(a23),a23),x14304),f20(x14302,f13(x14303,f8(a23),a23),x14304))
% 0.55/1.23 [938]~P47(x9382)+~E(f11(x9384,x9383,x9382),f11(x9385,x9381,x9382))+E(f14(x9384,x9381,x9382),f14(x9385,x9383,x9382))+E(x9381,f4(x9382))+E(x9383,f4(x9382))
% 0.55/1.23 [939]~P47(x9392)+~E(f14(x9394,x9393,x9392),f14(x9395,x9391,x9392))+E(f11(x9394,x9391,x9392),f11(x9395,x9393,x9392))+E(x9391,f4(x9392))+E(x9393,f4(x9392))
% 0.55/1.23 [1301]~P32(x13014)+~P15(x13014)+E(x13011,x13012)+E(x13013,f4(x13014))+~E(f13(x13015,f14(x13013,x13011,x13014),x13014),f13(x13015,f14(x13013,x13012,x13014),x13014))
% 0.55/1.23 [1482]~P32(x14825)+~P15(x14825)+E(x14821,x14822)+E(x14823,x14824)+~E(f13(f14(x14823,x14821,x14825),f14(x14824,x14822,x14825),x14825),f13(f14(x14823,x14822,x14825),f14(x14824,x14821,x14825),x14825))
% 0.55/1.23 [1522]~P50(x15225)+~P44(x15225)+~P12(x15221,x15224,x15225)+~P12(x15221,f13(x15222,x15226,x15225),x15225)+P12(x15221,f13(f12(x15222,f14(x15223,x15224,x15225),x15225),x15226,x15225),x15225)
% 0.55/1.23 [1525]~P50(x15254)+~P44(x15254)+~P12(x15251,x15255,x15254)+P12(x15251,f13(x15252,x15253,x15254),x15254)+~P12(x15251,f13(f12(x15252,f14(x15256,x15255,x15254),x15254),x15253,x15254),x15254)
% 0.55/1.23 [529]~P65(x5292)+~P39(x5292)+~P52(x5292)+~P53(x5292)+E(x5291,f4(a23))+E(f20(f4(x5292),x5291,x5292),f4(x5292))
% 0.55/1.23 [589]~P65(x5892)+~P39(x5892)+~P52(x5892)+~P53(x5892)+~E(f20(x5891,x5893,x5892),f4(x5892))+E(x5891,f4(x5892))
% 0.55/1.23 [696]~P65(x6963)+~P39(x6963)+~P52(x6963)+~P53(x6963)+~E(f19(x6961,a23),f4(a23))+~E(f20(x6962,f19(x6961,a23),x6963),f4(x6963))
% 0.55/1.23 [1126]~P48(x11262)+~P58(x11262)+P10(x11261,f4(x11262),x11262)+P10(f4(x11262),x11261,x11262)+~P13(x11263,f4(x11262),x11262)+P13(x11263,f11(x11264,x11261,x11262),x11262)
% 0.55/1.23 [1127]~P48(x11272)+~P58(x11272)+P10(x11271,f4(x11272),x11272)+P10(f4(x11272),x11271,x11272)+~P10(x11273,f4(x11272),x11272)+P10(x11273,f11(x11274,x11271,x11272),x11272)
% 0.55/1.23 [1128]~P48(x11282)+~P58(x11282)+P10(x11281,f4(x11282),x11282)+P10(f4(x11282),x11281,x11282)+~P13(f4(x11282),x11284,x11282)+P13(f11(x11283,x11281,x11282),x11284,x11282)
% 0.55/1.23 [1129]~P48(x11292)+~P58(x11292)+P10(x11291,f4(x11292),x11292)+P10(f4(x11292),x11291,x11292)+~P10(f4(x11292),x11294,x11292)+P10(f11(x11293,x11291,x11292),x11294,x11292)
% 0.55/1.23 [1209]~P48(x12092)+~P58(x12092)+P13(x12091,f4(x12092),x12092)+P10(f4(x12092),x12093,x12092)+~P13(x12091,f11(x12094,x12093,x12092),x12092)+P10(x12093,f4(x12092),x12092)
% 0.55/1.23 [1210]~P48(x12102)+~P58(x12102)+P10(x12101,f4(x12102),x12102)+P10(f4(x12102),x12101,x12102)+~P10(x12103,f11(x12104,x12101,x12102),x12102)+P10(x12103,f4(x12102),x12102)
% 0.55/1.23 [1211]~P48(x12112)+~P58(x12112)+P10(x12111,f4(x12112),x12112)+P10(f4(x12112),x12111,x12112)+~P13(f11(x12114,x12111,x12112),x12113,x12112)+P13(f4(x12112),x12113,x12112)
% 0.55/1.23 [1212]~P48(x12122)+~P58(x12122)+P10(x12121,f4(x12122),x12122)+P10(f4(x12122),x12121,x12122)+~P10(f11(x12124,x12121,x12122),x12123,x12122)+P10(f4(x12122),x12123,x12122)
% 0.55/1.23 [1240]~P60(x12404)+E(x12401,x12402)+~P13(f4(x12404),x12402,x12404)+~P13(f4(x12404),x12401,x12404)+~E(f20(x12401,x12403,x12404),f20(x12402,x12403,x12404))+~P10(f4(a23),x12403,a23)
% 0.55/1.23 [1356]~P48(x13562)+~P58(x13562)+~P13(f14(x13563,x13561,x13562),x13564,x13562)+P10(x13561,f4(x13562),x13562)+~P13(x13563,f4(x13562),x13562)+P13(x13563,f11(x13564,x13561,x13562),x13562)
% 0.55/1.23 [1357]~P48(x13572)+~P58(x13572)+~P10(f14(x13573,x13571,x13572),x13574,x13572)+P10(x13571,f4(x13572),x13572)+~P10(x13573,f4(x13572),x13572)+P10(x13573,f11(x13574,x13571,x13572),x13572)
% 0.55/1.23 [1358]~P48(x13582)+~P58(x13582)+~P13(x13583,f14(x13584,x13581,x13582),x13582)+P10(x13581,f4(x13582),x13582)+~P13(f4(x13582),x13584,x13582)+P13(f11(x13583,x13581,x13582),x13584,x13582)
% 0.55/1.23 [1359]~P48(x13592)+~P58(x13592)+~P10(x13593,f14(x13594,x13591,x13592),x13592)+P10(x13591,f4(x13592),x13592)+~P10(f4(x13592),x13594,x13592)+P10(f11(x13593,x13591,x13592),x13594,x13592)
% 0.55/1.23 [1360]~P48(x13601)+~P58(x13601)+~P13(x13604,f11(x13603,x13602,x13601),x13601)+~P10(x13602,f4(x13601),x13601)+P10(f4(x13601),x13602,x13601)+P13(x13603,f14(x13604,x13602,x13601),x13601)
% 0.55/1.23 [1361]~P48(x13611)+~P58(x13611)+~P13(x13614,f14(x13613,x13612,x13611),x13611)+~P13(x13613,f4(x13611),x13611)+P10(f4(x13611),x13612,x13611)+P13(x13613,f11(x13614,x13612,x13611),x13611)
% 0.55/1.23 [1362]~P48(x13621)+~P58(x13621)+~P13(x13624,f14(x13623,x13622,x13621),x13621)+~P10(x13622,f4(x13621),x13621)+P10(f4(x13621),x13622,x13621)+P13(x13623,f11(x13624,x13622,x13621),x13621)
% 0.55/1.23 [1363]~P48(x13631)+~P58(x13631)+~P10(x13634,f11(x13633,x13632,x13631),x13631)+~P10(x13632,f4(x13631),x13631)+P10(f4(x13631),x13632,x13631)+P10(x13633,f14(x13634,x13632,x13631),x13631)
% 0.55/1.23 [1364]~P48(x13641)+~P58(x13641)+~P10(x13644,f14(x13643,x13642,x13641),x13641)+~P10(x13642,f4(x13641),x13641)+P10(f4(x13641),x13642,x13641)+P10(x13643,f11(x13644,x13642,x13641),x13641)
% 0.55/1.23 [1365]~P48(x13651)+~P58(x13651)+~P10(x13654,f14(x13653,x13652,x13651),x13651)+~P10(x13653,f4(x13651),x13651)+P10(f4(x13651),x13652,x13651)+P10(x13653,f11(x13654,x13652,x13651),x13651)
% 0.55/1.23 [1366]~P48(x13661)+~P58(x13661)+~P13(f11(x13664,x13662,x13661),x13663,x13661)+~P10(x13662,f4(x13661),x13661)+P10(f4(x13661),x13662,x13661)+P13(f14(x13663,x13662,x13661),x13664,x13661)
% 0.55/1.23 [1367]~P48(x13671)+~P58(x13671)+~P13(f14(x13674,x13672,x13671),x13673,x13671)+~P10(x13672,f4(x13671),x13671)+P10(f4(x13671),x13672,x13671)+P13(f11(x13673,x13672,x13671),x13674,x13671)
% 0.55/1.23 [1368]~P48(x13681)+~P58(x13681)+~P10(f11(x13684,x13682,x13681),x13683,x13681)+~P10(x13682,f4(x13681),x13681)+P10(f4(x13681),x13682,x13681)+P10(f14(x13683,x13682,x13681),x13684,x13681)
% 0.55/1.23 [1369]~P48(x13691)+~P58(x13691)+~P10(f14(x13694,x13692,x13691),x13693,x13691)+~P10(x13692,f4(x13691),x13691)+P10(f4(x13691),x13692,x13691)+P10(f11(x13693,x13692,x13691),x13694,x13691)
% 0.55/1.23 [1370]~P48(x13701)+~P58(x13701)+~P13(f14(x13704,x13702,x13701),x13703,x13701)+~P13(f4(x13701),x13704,x13701)+P10(f4(x13701),x13702,x13701)+P13(f11(x13703,x13702,x13701),x13704,x13701)
% 0.55/1.23 [1371]~P48(x13711)+~P58(x13711)+~P10(f14(x13714,x13712,x13711),x13713,x13711)+~P10(f4(x13711),x13714,x13711)+P10(f4(x13711),x13712,x13711)+P10(f11(x13713,x13712,x13711),x13714,x13711)
% 0.55/1.23 [1434]~P48(x14343)+~P58(x14343)+~P13(x14342,x14344,x14343)+~P13(x14341,f4(x14343),x14343)+~P10(f4(x14343),f14(x14342,x14344,x14343),x14343)+P13(f11(x14341,x14342,x14343),f11(x14341,x14344,x14343),x14343)
% 0.55/1.23 [1460]~P48(x14604)+~P58(x14604)+~P13(x14601,f4(x14604),x14604)+~P13(x14602,f14(x14601,x14603,x14604),x14604)+~P13(f14(x14601,x14603,x14604),x14602,x14604)+P13(x14601,f11(x14602,x14603,x14604),x14604)
% 0.55/1.23 [1461]~P48(x14614)+~P58(x14614)+~P10(x14613,f4(x14614),x14614)+~P13(x14612,f14(x14611,x14613,x14614),x14614)+~P13(f14(x14611,x14613,x14614),x14612,x14614)+P13(x14611,f11(x14612,x14613,x14614),x14614)
% 0.55/1.23 [1462]~P48(x14624)+~P58(x14624)+~P10(x14623,f4(x14624),x14624)+~P10(x14622,f14(x14621,x14623,x14624),x14624)+~P10(f14(x14621,x14623,x14624),x14622,x14624)+P10(x14621,f11(x14622,x14623,x14624),x14624)
% 0.55/1.23 [1463]~P48(x14634)+~P58(x14634)+~P10(x14631,f4(x14634),x14634)+~P10(x14632,f14(x14631,x14633,x14634),x14634)+~P10(f14(x14631,x14633,x14634),x14632,x14634)+P10(x14631,f11(x14632,x14633,x14634),x14634)
% 0.55/1.23 [1464]~P48(x14643)+~P58(x14643)+~P10(x14642,f4(x14643),x14643)+~P13(x14641,f14(x14644,x14642,x14643),x14643)+~P13(f14(x14644,x14642,x14643),x14641,x14643)+P13(f11(x14641,x14642,x14643),x14644,x14643)
% 0.55/1.23 [1465]~P48(x14653)+~P58(x14653)+~P10(x14652,f4(x14653),x14653)+~P10(x14651,f14(x14654,x14652,x14653),x14653)+~P10(f14(x14654,x14652,x14653),x14651,x14653)+P10(f11(x14651,x14652,x14653),x14654,x14653)
% 0.55/1.23 [1466]~P48(x14663)+~P58(x14663)+~P13(f4(x14663),x14664,x14663)+~P13(x14661,f14(x14664,x14662,x14663),x14663)+~P13(f14(x14664,x14662,x14663),x14661,x14663)+P13(f11(x14661,x14662,x14663),x14664,x14663)
% 0.55/1.23 [1467]~P48(x14673)+~P58(x14673)+~P10(f4(x14673),x14674,x14673)+~P10(x14671,f14(x14674,x14672,x14673),x14673)+~P10(f14(x14674,x14672,x14673),x14671,x14673)+P10(f11(x14671,x14672,x14673),x14674,x14673)
% 0.55/1.23 [801]~P47(x8012)+~P48(x8012)+~P6(x8012)+~E(f11(x8013,x8011,x8012),f19(x8014,x8012))+E(x8011,f4(x8012))+E(x8013,f14(f19(x8014,x8012),x8011,x8012))
% 0.55/1.23 [802]~P47(x8022)+~P48(x8022)+~P6(x8022)+~E(f19(x8023,x8022),f11(x8024,x8021,x8022))+E(x8021,f4(x8022))+E(f14(f19(x8023,x8022),x8021,x8022),x8024)
% 0.55/1.23 [1391]~P68(x13913)+~P13(x13912,x13915,x13913)+~P13(x13911,x13914,x13913)+~P13(f4(x13913),x13914,x13913)+~P13(f4(x13913),x13912,x13913)+P13(f14(x13911,x13912,x13913),f14(x13914,x13915,x13913),x13913)
% 0.55/1.23 [1392]~P68(x13923)+~P13(x13922,x13925,x13923)+~P13(x13921,x13924,x13923)+~P13(f4(x13923),x13922,x13923)+~P13(f4(x13923),x13921,x13923)+P13(f14(x13921,x13922,x13923),f14(x13924,x13925,x13923),x13923)
% 0.55/1.23 [1393]~P58(x13933)+~P13(x13935,x13932,x13933)+~P13(x13931,x13934,x13933)+~P13(f4(x13933),x13931,x13933)+~P10(f4(x13933),x13935,x13933)+P13(f11(x13931,x13932,x13933),f11(x13934,x13935,x13933),x13933)
% 0.55/1.23 [1394]~P61(x13943)+~P13(x13942,x13945,x13943)+~P10(x13941,x13944,x13943)+~P13(f4(x13943),x13941,x13943)+~P10(f4(x13943),x13942,x13943)+P10(f14(x13941,x13942,x13943),f14(x13944,x13945,x13943),x13943)
% 0.55/1.23 [1395]~P61(x13953)+~P13(x13951,x13954,x13953)+~P10(x13952,x13955,x13953)+~P13(f4(x13953),x13952,x13953)+~P10(f4(x13953),x13951,x13953)+P10(f14(x13951,x13952,x13953),f14(x13954,x13955,x13953),x13953)
% 0.55/1.23 [1396]~P61(x13963)+~P10(x13962,x13965,x13963)+~P10(x13961,x13964,x13963)+~P13(f4(x13963),x13962,x13963)+~P13(f4(x13963),x13961,x13963)+P10(f14(x13961,x13962,x13963),f14(x13964,x13965,x13963),x13963)
% 0.55/1.23 [1397]~P61(x13973)+~P10(x13972,x13975,x13973)+~P10(x13971,x13974,x13973)+~P13(f4(x13973),x13972,x13973)+~P10(f4(x13973),x13974,x13973)+P10(f14(x13971,x13972,x13973),f14(x13974,x13975,x13973),x13973)
% 0.55/1.23 [1398]~P58(x13983)+~P13(x13985,x13982,x13983)+~P10(x13981,x13984,x13983)+~P13(f4(x13983),x13981,x13983)+~P10(f4(x13983),x13985,x13983)+P10(f11(x13981,x13982,x13983),f11(x13984,x13985,x13983),x13983)
% 0.55/1.23 [1399]~P58(x13993)+~P13(x13991,x13994,x13993)+~P10(x13995,x13992,x13993)+~P10(f4(x13993),x13995,x13993)+~P10(f4(x13993),x13991,x13993)+P10(f11(x13991,x13992,x13993),f11(x13994,x13995,x13993),x13993)
% 0.55/1.23 %EqnAxiom
% 0.55/1.23 [1]E(x11,x11)
% 0.55/1.23 [2]E(x22,x21)+~E(x21,x22)
% 0.55/1.23 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.55/1.23 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.55/1.23 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.55/1.23 [6]~E(x61,x62)+E(f12(x61,x63,x64),f12(x62,x63,x64))
% 0.55/1.23 [7]~E(x71,x72)+E(f12(x73,x71,x74),f12(x73,x72,x74))
% 0.55/1.23 [8]~E(x81,x82)+E(f12(x83,x84,x81),f12(x83,x84,x82))
% 0.55/1.23 [9]~E(x91,x92)+E(f19(x91,x93),f19(x92,x93))
% 0.55/1.23 [10]~E(x101,x102)+E(f19(x103,x101),f19(x103,x102))
% 0.55/1.23 [11]~E(x111,x112)+E(f4(x111),f4(x112))
% 0.55/1.23 [12]~E(x121,x122)+E(f5(x121),f5(x122))
% 0.55/1.23 [13]~E(x131,x132)+E(f8(x131),f8(x132))
% 0.55/1.23 [14]~E(x141,x142)+E(f14(x141,x143,x144),f14(x142,x143,x144))
% 0.55/1.23 [15]~E(x151,x152)+E(f14(x153,x151,x154),f14(x153,x152,x154))
% 0.55/1.23 [16]~E(x161,x162)+E(f14(x163,x164,x161),f14(x163,x164,x162))
% 0.55/1.23 [17]~E(x171,x172)+E(f9(x171,x173),f9(x172,x173))
% 0.55/1.23 [18]~E(x181,x182)+E(f9(x183,x181),f9(x183,x182))
% 0.55/1.23 [19]~E(x191,x192)+E(f13(x191,x193,x194),f13(x192,x193,x194))
% 0.55/1.23 [20]~E(x201,x202)+E(f13(x203,x201,x204),f13(x203,x202,x204))
% 0.55/1.23 [21]~E(x211,x212)+E(f13(x213,x214,x211),f13(x213,x214,x212))
% 0.55/1.23 [22]~E(x221,x222)+E(f7(x221,x223,x224),f7(x222,x223,x224))
% 0.55/1.23 [23]~E(x231,x232)+E(f7(x233,x231,x234),f7(x233,x232,x234))
% 0.55/1.23 [24]~E(x241,x242)+E(f7(x243,x244,x241),f7(x243,x244,x242))
% 0.55/1.23 [25]~E(x251,x252)+E(f20(x251,x253,x254),f20(x252,x253,x254))
% 0.55/1.23 [26]~E(x261,x262)+E(f20(x263,x261,x264),f20(x263,x262,x264))
% 0.55/1.23 [27]~E(x271,x272)+E(f20(x273,x274,x271),f20(x273,x274,x272))
% 0.55/1.23 [28]~E(x281,x282)+E(f10(x281,x283),f10(x282,x283))
% 0.55/1.23 [29]~E(x291,x292)+E(f10(x293,x291),f10(x293,x292))
% 0.55/1.23 [30]~E(x301,x302)+E(f15(x301,x303),f15(x302,x303))
% 0.55/1.23 [31]~E(x311,x312)+E(f15(x313,x311),f15(x313,x312))
% 0.55/1.23 [32]~E(x321,x322)+E(f11(x321,x323,x324),f11(x322,x323,x324))
% 0.55/1.23 [33]~E(x331,x332)+E(f11(x333,x331,x334),f11(x333,x332,x334))
% 0.55/1.23 [34]~E(x341,x342)+E(f11(x343,x344,x341),f11(x343,x344,x342))
% 0.55/1.23 [35]~E(x351,x352)+E(f21(x351,x353),f21(x352,x353))
% 0.55/1.23 [36]~E(x361,x362)+E(f21(x363,x361),f21(x363,x362))
% 0.55/1.23 [37]~E(x371,x372)+E(f22(x371),f22(x372))
% 0.55/1.23 [38]~P1(x381)+P1(x382)+~E(x381,x382)
% 0.55/1.23 [39]~P2(x391)+P2(x392)+~E(x391,x392)
% 0.55/1.23 [40]~P38(x401)+P38(x402)+~E(x401,x402)
% 0.55/1.23 [41]~P3(x411)+P3(x412)+~E(x411,x412)
% 0.55/1.23 [42]P10(x422,x423,x424)+~E(x421,x422)+~P10(x421,x423,x424)
% 0.55/1.23 [43]P10(x433,x432,x434)+~E(x431,x432)+~P10(x433,x431,x434)
% 0.55/1.23 [44]P10(x443,x444,x442)+~E(x441,x442)+~P10(x443,x444,x441)
% 0.55/1.23 [45]~P32(x451)+P32(x452)+~E(x451,x452)
% 0.55/1.23 [46]P13(x462,x463,x464)+~E(x461,x462)+~P13(x461,x463,x464)
% 0.55/1.23 [47]P13(x473,x472,x474)+~E(x471,x472)+~P13(x473,x471,x474)
% 0.55/1.23 [48]P13(x483,x484,x482)+~E(x481,x482)+~P13(x483,x484,x481)
% 0.55/1.23 [49]~P51(x491)+P51(x492)+~E(x491,x492)
% 0.55/1.23 [50]~P33(x501)+P33(x502)+~E(x501,x502)
% 0.55/1.23 [51]~P48(x511)+P48(x512)+~E(x511,x512)
% 0.55/1.23 [52]~P58(x521)+P58(x522)+~E(x521,x522)
% 0.55/1.23 [53]~P4(x531)+P4(x532)+~E(x531,x532)
% 0.55/1.23 [54]~P34(x541)+P34(x542)+~E(x541,x542)
% 0.55/1.23 [55]P9(x552,x553)+~E(x551,x552)+~P9(x551,x553)
% 0.55/1.23 [56]P9(x563,x562)+~E(x561,x562)+~P9(x563,x561)
% 0.55/1.23 [57]~P37(x571)+P37(x572)+~E(x571,x572)
% 0.55/1.23 [58]~P28(x581)+P28(x582)+~E(x581,x582)
% 0.55/1.23 [59]~P5(x591)+P5(x592)+~E(x591,x592)
% 0.55/1.23 [60]P12(x602,x603,x604)+~E(x601,x602)+~P12(x601,x603,x604)
% 0.55/1.23 [61]P12(x613,x612,x614)+~E(x611,x612)+~P12(x613,x611,x614)
% 0.55/1.23 [62]P12(x623,x624,x622)+~E(x621,x622)+~P12(x623,x624,x621)
% 0.55/1.23 [63]~P47(x631)+P47(x632)+~E(x631,x632)
% 0.55/1.23 [64]~P26(x641)+P26(x642)+~E(x641,x642)
% 0.55/1.23 [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 0.55/1.23 [66]~P59(x661)+P59(x662)+~E(x661,x662)
% 0.55/1.23 [67]~P35(x671)+P35(x672)+~E(x671,x672)
% 0.55/1.23 [68]~P60(x681)+P60(x682)+~E(x681,x682)
% 0.55/1.23 [69]~P67(x691)+P67(x692)+~E(x691,x692)
% 0.55/1.23 [70]~P56(x701)+P56(x702)+~E(x701,x702)
% 0.55/1.23 [71]~P40(x711)+P40(x712)+~E(x711,x712)
% 0.55/1.23 [72]~P7(x721)+P7(x722)+~E(x721,x722)
% 0.55/1.23 [73]~P65(x731)+P65(x732)+~E(x731,x732)
% 0.55/1.23 [74]~P43(x741)+P43(x742)+~E(x741,x742)
% 0.55/1.23 [75]~P61(x751)+P61(x752)+~E(x751,x752)
% 0.55/1.23 [76]~P15(x761)+P15(x762)+~E(x761,x762)
% 0.55/1.23 [77]~P27(x771)+P27(x772)+~E(x771,x772)
% 0.55/1.23 [78]~P63(x781)+P63(x782)+~E(x781,x782)
% 0.55/1.23 [79]~P17(x791)+P17(x792)+~E(x791,x792)
% 0.55/1.23 [80]~P8(x801)+P8(x802)+~E(x801,x802)
% 0.55/1.23 [81]~P19(x811)+P19(x812)+~E(x811,x812)
% 0.55/1.23 [82]~P45(x821)+P45(x822)+~E(x821,x822)
% 0.55/1.23 [83]~P73(x831)+P73(x832)+~E(x831,x832)
% 0.55/1.23 [84]~P14(x841)+P14(x842)+~E(x841,x842)
% 0.55/1.23 [85]~P29(x851)+P29(x852)+~E(x851,x852)
% 0.55/1.23 [86]~P39(x861)+P39(x862)+~E(x861,x862)
% 0.55/1.23 [87]~P41(x871)+P41(x872)+~E(x871,x872)
% 0.55/1.23 [88]~P30(x881)+P30(x882)+~E(x881,x882)
% 0.55/1.23 [89]~P52(x891)+P52(x892)+~E(x891,x892)
% 0.55/1.23 [90]~P18(x901)+P18(x902)+~E(x901,x902)
% 0.55/1.23 [91]~P49(x911)+P49(x912)+~E(x911,x912)
% 0.55/1.23 [92]~P53(x921)+P53(x922)+~E(x921,x922)
% 0.55/1.23 [93]~P36(x931)+P36(x932)+~E(x931,x932)
% 0.55/1.23 [94]~P55(x941)+P55(x942)+~E(x941,x942)
% 0.55/1.23 [95]~P66(x951)+P66(x952)+~E(x951,x952)
% 0.55/1.23 [96]~P24(x961)+P24(x962)+~E(x961,x962)
% 0.55/1.23 [97]~P69(x971)+P69(x972)+~E(x971,x972)
% 0.55/1.23 [98]P11(x982,x983)+~E(x981,x982)+~P11(x981,x983)
% 0.55/1.23 [99]P11(x993,x992)+~E(x991,x992)+~P11(x993,x991)
% 0.55/1.23 [100]~P64(x1001)+P64(x1002)+~E(x1001,x1002)
% 0.55/1.23 [101]~P54(x1011)+P54(x1012)+~E(x1011,x1012)
% 0.55/1.23 [102]~P70(x1021)+P70(x1022)+~E(x1021,x1022)
% 0.55/1.23 [103]~P62(x1031)+P62(x1032)+~E(x1031,x1032)
% 0.55/1.23 [104]~P50(x1041)+P50(x1042)+~E(x1041,x1042)
% 0.55/1.23 [105]~P20(x1051)+P20(x1052)+~E(x1051,x1052)
% 0.55/1.23 [106]~P22(x1061)+P22(x1062)+~E(x1061,x1062)
% 0.55/1.23 [107]~P42(x1071)+P42(x1072)+~E(x1071,x1072)
% 0.55/1.23 [108]~P31(x1081)+P31(x1082)+~E(x1081,x1082)
% 0.55/1.23 [109]~P44(x1091)+P44(x1092)+~E(x1091,x1092)
% 0.55/1.23 [110]~P71(x1101)+P71(x1102)+~E(x1101,x1102)
% 0.55/1.23 [111]~P72(x1111)+P72(x1112)+~E(x1111,x1112)
% 0.55/1.23 [112]~P25(x1121)+P25(x1122)+~E(x1121,x1122)
% 0.55/1.23 [113]~P46(x1131)+P46(x1132)+~E(x1131,x1132)
% 0.55/1.23 [114]~P68(x1141)+P68(x1142)+~E(x1141,x1142)
% 0.55/1.23 [115]~P57(x1151)+P57(x1152)+~E(x1151,x1152)
% 0.55/1.23 [116]~P21(x1161)+P21(x1162)+~E(x1161,x1162)
% 0.55/1.23 [117]~P23(x1171)+P23(x1172)+~E(x1171,x1172)
% 0.55/1.23 [118]~P16(x1181)+P16(x1182)+~E(x1181,x1182)
% 0.55/1.23
% 0.55/1.23 %-------------------------------------------
% 0.55/1.23 cnf(1545,plain,
% 0.55/1.23 ($false),
% 0.55/1.23 inference(scs_inference,[],[285,367,1282]),
% 0.55/1.23 ['proof']).
% 0.55/1.23 % SZS output end Proof
% 0.55/1.23 % Total time :0.070000s
%------------------------------------------------------------------------------