TSTP Solution File: LCL809-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL809-1 : 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 : n015.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 06:51:05 EDT 2023
% Result : Unsatisfiable 1.08s 1.19s
% Output : CNFRefutation 1.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL809-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 18:49:06 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.97/1.12 %-------------------------------------------
% 0.97/1.12 % File :CSE---1.6
% 0.97/1.12 % Problem :theBenchmark
% 0.97/1.12 % Transform :cnf
% 0.97/1.12 % Format :tptp:raw
% 0.97/1.12 % Command :java -jar mcs_scs.jar %d %s
% 0.97/1.12
% 0.97/1.12 % Result :Theorem 0.070000s
% 0.97/1.12 % Output :CNFRefutation 0.070000s
% 0.97/1.12 %-------------------------------------------
% 0.97/1.12 %------------------------------------------------------------------------------
% 0.97/1.12 % File : LCL809-1 : TPTP v8.1.2. Released v4.1.0.
% 0.97/1.12 % Domain : Logic Calculi
% 0.97/1.12 % Problem : Strong normalization of typed lambda calculus 169_44
% 0.97/1.12 % Version : Especial.
% 0.97/1.12 % English :
% 0.97/1.12
% 0.97/1.12 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.97/1.12 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.97/1.12 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.97/1.12 % Source : [Nip10]
% 0.97/1.12 % Names : StrongNorm-169_44 [Nip10]
% 0.97/1.12
% 0.97/1.12 % Status : Unsatisfiable
% 0.97/1.12 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.20 v6.1.0, 0.07 v6.0.0, 0.20 v5.5.0, 0.25 v5.4.0, 0.20 v5.3.0, 0.22 v5.2.0, 0.19 v5.1.0, 0.29 v4.1.0
% 0.97/1.12 % Syntax : Number of clauses : 1239 ( 170 unt; 181 nHn; 740 RR)
% 0.97/1.12 % Number of literals : 3493 ( 756 equ;2092 neg)
% 0.97/1.12 % Maximal clause size : 6 ( 2 avg)
% 0.97/1.12 % Maximal term depth : 5 ( 1 avg)
% 0.97/1.12 % Number of predicates : 71 ( 70 usr; 0 prp; 1-3 aty)
% 0.97/1.12 % Number of functors : 38 ( 38 usr; 7 con; 0-3 aty)
% 0.97/1.12 % Number of variables : 3484 ( 226 sgn)
% 0.97/1.12 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.97/1.12
% 0.97/1.12 % Comments :
% 0.97/1.12 %------------------------------------------------------------------------------
% 0.97/1.12 cnf(cls_divide__left__mono_0,axiom,
% 0.97/1.12 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.97/1.12 | 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)
% 0.97/1.12 | ~ 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)
% 0.97/1.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.97/1.12 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.97/1.12
% 0.97/1.12 cnf(cls_dvd__mult__cancel__right_2,axiom,
% 0.97/1.12 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.97/1.12 | 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)
% 0.97/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.97/1.12
% 0.97/1.12 cnf(cls_dvd__mult__cancel__left_2,axiom,
% 0.97/1.12 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.97/1.12 | 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)
% 0.97/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.97/1.12
% 0.97/1.12 cnf(cls_zmod__simps_I4_J_0,axiom,
% 0.97/1.12 ( ~ class_Divides_Osemiring__div(T_a)
% 0.97/1.12 | 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) ) ).
% 0.97/1.12
% 0.97/1.12 cnf(cls_inverse__eq__divide_0,axiom,
% 0.97/1.12 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.97/1.12 | 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) ) ).
% 0.97/1.12
% 0.97/1.12 cnf(cls_class__fieldgb_Oinverse__divide_0,axiom,
% 0.97/1.12 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.98/1.13 | ~ class_Int_Onumber__ring(T_a)
% 0.98/1.13 | 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) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_mult__strict__mono_0,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.98/1.13 | 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)
% 0.98/1.13 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_abs__le__D1_0,axiom,
% 0.98/1.13 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.98/1.13 | c_lessequals(V_a,V_b,T_a)
% 0.98/1.13 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_one__le__power_0,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.98/1.13 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.98/1.13 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_power__0__Suc_0,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.98/1.13 | ~ class_Power_Opower(T_a)
% 0.98/1.13 | 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) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_abs__idempotent_0,axiom,
% 0.98/1.13 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.98/1.13 | 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) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_add__Suc__right_0,axiom,
% 0.98/1.13 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)) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_add__Suc_0,axiom,
% 0.98/1.13 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)) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_abs__le__mult_0,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 0.98/1.13 | 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) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_neg__le__iff__le_0,axiom,
% 0.98/1.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.98/1.13 | c_lessequals(V_a,V_b,T_a)
% 0.98/1.13 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_le__imp__neg__le_0,axiom,
% 0.98/1.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.98/1.13 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.98/1.13 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_eq__add__iff2_1,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.98/1.13 | 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) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_nat__less__add__iff1_0,axiom,
% 0.98/1.13 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.98/1.13 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_nat__less__add__iff1_1,axiom,
% 0.98/1.13 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat)
% 0.98/1.13 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_nat__less__add__iff2_0,axiom,
% 0.98/1.13 ( c_HOL_Oord__class_Oless(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.98/1.13 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_nat__less__add__iff2_1,axiom,
% 0.98/1.13 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.98/1.13 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_eq__add__iff2_0,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.98/1.13 | 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)
% 0.98/1.13 | 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) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_eq__add__iff1_0,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.98/1.13 | 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)
% 0.98/1.13 | 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 ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_less__add__Suc1_0,axiom,
% 0.98/1.13 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_less__add__Suc2_0,axiom,
% 0.98/1.13 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_less__iff__Suc__add_1,axiom,
% 0.98/1.13 c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_le__diff__conv2_0,axiom,
% 0.98/1.13 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 0.98/1.13 | ~ c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.98/1.13 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_le__diff__conv2_1,axiom,
% 0.98/1.13 ( c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.98/1.13 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 0.98/1.13 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_min__max_Ole__sup__iff_2,axiom,
% 0.98/1.13 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.13 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 0.98/1.13 | ~ c_lessequals(V_y,V_z,T_a)
% 0.98/1.13 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_min__max_Osup__least_0,axiom,
% 0.98/1.13 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.13 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a)
% 0.98/1.13 | ~ c_lessequals(V_z,V_x,T_a)
% 0.98/1.13 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_min__max_Ole__supI_0,axiom,
% 0.98/1.13 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.13 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a)
% 0.98/1.13 | ~ c_lessequals(V_b,V_x,T_a)
% 0.98/1.13 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_le__maxI1_0,axiom,
% 0.98/1.13 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.13 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_le__maxI2_0,axiom,
% 0.98/1.13 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.13 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_zero__less__abs__iff_1,axiom,
% 0.98/1.13 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.98/1.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 0.98/1.13 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_bot__least_0,axiom,
% 0.98/1.13 ( ~ class_Orderings_Obot(T_a)
% 0.98/1.13 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_abs__minus__le__zero_0,axiom,
% 0.98/1.13 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.98/1.13 | 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) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
% 0.98/1.13 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.13 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_x,T_a),c_Orderings_Oord__class_Omin(V_z,V_x,T_a),T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
% 0.98/1.13 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.13 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_power__strict__decreasing_0,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.98/1.13 | 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)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_add__increasing_0,axiom,
% 0.98/1.13 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.98/1.13 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.98/1.13 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.98/1.13 | ~ c_lessequals(V_b,V_c,T_a)
% 0.98/1.13 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_add__increasing2_0,axiom,
% 0.98/1.13 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.98/1.13 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.98/1.13 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.98/1.13 | ~ c_lessequals(V_b,V_a,T_a)
% 0.98/1.13 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_le__imp__power__dvd_0,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.13 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.98/1.13 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_Suc__leI_0,axiom,
% 0.98/1.13 ( c_lessequals(c_Suc(V_m),V_n,tc_nat)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_Suc__le__eq_0,axiom,
% 0.98/1.13 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.98/1.13 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_less__eq__Suc__le_0,axiom,
% 0.98/1.13 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_less__eq__Suc__le_1,axiom,
% 0.98/1.13 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.98/1.13 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_le__zero__iff__zero__pprt_1,axiom,
% 0.98/1.13 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.98/1.13 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.98/1.13 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_le__zero__iff__zero__pprt_0,axiom,
% 0.98/1.13 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.98/1.13 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.98/1.13 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.98/1.13 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.98/1.13 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_add__lessD1_0,axiom,
% 0.98/1.13 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_trans__less__add1_0,axiom,
% 0.98/1.13 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_trans__less__add2_0,axiom,
% 0.98/1.13 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 0.98/1.13 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_power__decreasing_0,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.98/1.13 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.98/1.13 | ~ c_lessequals(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.98/1.13 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.13 | ~ c_lessequals(V_n,V_N,tc_nat) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_diff__Suc__1_0,axiom,
% 0.98/1.13 c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_divide__le__0__iff_4,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.13 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.13 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.13 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.13 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_divide__le__0__iff_5,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.13 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.13 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.13 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.98/1.13 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_le__add__iff2_1,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.98/1.13 | 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)
% 0.98/1.13 | ~ 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) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_le__add__iff2_0,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.98/1.13 | 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)
% 0.98/1.13 | ~ 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) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_le__add__iff1_1,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.98/1.13 | 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)
% 0.98/1.13 | ~ 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) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_le__add__iff1_0,axiom,
% 0.98/1.13 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.98/1.13 | 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)
% 0.98/1.13 | ~ 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) ) ).
% 0.98/1.13
% 0.98/1.13 cnf(cls_dvd__mod__imp__dvd_0,axiom,
% 0.98/1.14 ( ~ class_Divides_Osemiring__div(T_a)
% 0.98/1.14 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.98/1.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 0.98/1.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_dvd__mod__iff_1,axiom,
% 0.98/1.14 ( ~ class_Divides_Osemiring__div(T_a)
% 0.98/1.14 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.98/1.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.98/1.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_dvd__mod__iff_0,axiom,
% 0.98/1.14 ( ~ class_Divides_Osemiring__div(T_a)
% 0.98/1.14 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.98/1.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.98/1.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_dvd__mod_0,axiom,
% 0.98/1.14 ( ~ class_Divides_Osemiring__div(T_a)
% 0.98/1.14 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.98/1.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 0.98/1.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_Suc__diff__le_0,axiom,
% 0.98/1.14 ( c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat))
% 0.98/1.14 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_nat__1__eq__mult__iff_2,axiom,
% 0.98/1.14 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) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_zero__le__divide__1__iff_1,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.14 | 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)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_zero__le__divide__1__iff_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.98/1.14 | ~ 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) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_substn_Osimps_I3_J_0,axiom,
% 0.98/1.14 c_Lambda_Osubstn(c_Lambda_OdB_OAbs(V_t),V_s,V_k) = c_Lambda_OdB_OAbs(c_Lambda_Osubstn(V_t,V_s,c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_sum__squares__ge__zero_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.98/1.14 | 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) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_inverse__le__1__iff_1,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.14 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.98/1.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.98/1.14 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_nat__add__commute_0,axiom,
% 0.98/1.14 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_less__add__eq__less_0,axiom,
% 0.98/1.14 ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.98/1.14 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.14 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_divide__le__0__iff_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.14 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_divide__le__0__iff_1,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_divide__le__0__iff_2,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.14 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.14 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_divide__le__0__iff_3,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.98/1.14 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_mult__eq__1__iff_0,axiom,
% 0.98/1.14 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.98/1.14 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_mult__eq__1__iff_1,axiom,
% 0.98/1.14 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.98/1.14 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_mult__sgn__abs_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.98/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_x,T_a),c_HOL_Oabs__class_Oabs(V_x,T_a),T_a) = V_x ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_diff__less__mono2_0,axiom,
% 0.98/1.14 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_power__minus_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 0.98/1.14 | 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) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_dvd__power_1,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.14 | 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) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_le__imp__inverse__le__neg_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_inverse__le__imp__le__neg_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | c_lessequals(V_b,V_a,T_a)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_inverse__le__imp__le_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | c_lessequals(V_b,V_a,T_a)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_le__imp__inverse__le_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.14 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.98/1.14 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.98/1.14 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.98/1.14 | V_m = V_n ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_divide__le__eq_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.14 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_divide__le__eq_6,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.98/1.14 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_le__divide__eq_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.98/1.14 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_le__divide__eq_6,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.14 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_mult__imp__div__pos__le_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 0.98/1.14 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_mult__imp__le__div__pos_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_mult__less__imp__less__right_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.98/1.14 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.98/1.14 | ~ 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) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_mult__less__imp__less__left_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.98/1.14 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.98/1.14 | ~ 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) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_mult__right__less__imp__less_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.98/1.14 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.98/1.14 | ~ 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) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_divide__left__mono__neg_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.14 | 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)
% 0.98/1.14 | ~ 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)
% 0.98/1.14 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_min__max_Oinf__le1_0,axiom,
% 0.98/1.14 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.14 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_min__max_Oinf__le2_0,axiom,
% 0.98/1.14 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.14 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_min__max_Ole__infI_0,axiom,
% 0.98/1.14 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.14 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(V_x,V_b,T_a)
% 0.98/1.14 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_min__max_Ole__inf__iff_2,axiom,
% 0.98/1.14 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.14 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(V_x,V_z,T_a)
% 0.98/1.14 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_min__max_Oinf__greatest_0,axiom,
% 0.98/1.14 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.14 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(V_x,V_z,T_a)
% 0.98/1.14 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_eq__add__iff1_1,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.98/1.14 | 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) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_le__minus__self__iff_0,axiom,
% 0.98/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.98/1.14 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_le__minus__self__iff_1,axiom,
% 0.98/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.98/1.14 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_minus__le__self__iff_0,axiom,
% 0.98/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_minus__le__self__iff_1,axiom,
% 0.98/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_less__eq__neg__nonpos_0,axiom,
% 0.98/1.14 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.98/1.14 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 0.98/1.14 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.98/1.14 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_neg__less__eq__nonneg_0,axiom,
% 0.98/1.14 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 0.98/1.14 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_zero__le__power_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.98/1.14 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_diff__is__0__eq_1,axiom,
% 0.98/1.14 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.98/1.14 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_diff__is__0__eq_0,axiom,
% 0.98/1.14 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.98/1.14 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_min__diff__distrib__left_0,axiom,
% 0.98/1.14 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.98/1.14 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_max__less__iff__conj_2,axiom,
% 0.98/1.14 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.14 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_diff__Suc__diff__eq2_0,axiom,
% 0.98/1.14 ( c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),V_m,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(V_j),c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),tc_nat)
% 0.98/1.14 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_replicate__eq__replicate_0,axiom,
% 0.98/1.14 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.98/1.14 | V_m = V_n ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_class__semiring_Omul__1_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_nat__mult__1__right_0,axiom,
% 0.98/1.14 c_HOL_Otimes__class_Otimes(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_nat__mult__1_0,axiom,
% 0.98/1.14 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) = V_n ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_mult__1_0,axiom,
% 0.98/1.14 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 0.98/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_mult__1__left_0,axiom,
% 0.98/1.14 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.98/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_mult__1__right_0,axiom,
% 0.98/1.14 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.98/1.14 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.14 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_add__strict__increasing_0,axiom,
% 0.98/1.14 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.98/1.14 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.98/1.14 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.98/1.14 | ~ c_lessequals(V_b,V_c,T_a)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_lem0_0,axiom,
% 0.98/1.14 ( c_HOL_Oord__class_Oless(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat)
% 0.98/1.14 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.98/1.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_dvdI_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.98/1.14 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_dvd__triv__left_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.14 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_dvd__triv__right_0,axiom,
% 0.98/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.14 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 0.98/1.14
% 0.98/1.14 cnf(cls_abs__diff__triangle__ineq_0,axiom,
% 0.98/1.14 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_frac__less2_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.98/1.15 | ~ c_lessequals(V_x,V_y,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_power__one__over_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_add__is__1_4,axiom,
% 0.98/1.15 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)) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_mod__mod__trivial_0,axiom,
% 0.98/1.15 ( ~ class_Divides_Osemiring__div(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_of__nat__le__iff_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.98/1.15 | c_lessequals(V_m,V_n,tc_nat)
% 0.98/1.15 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_of__nat__le__iff_1,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.98/1.15 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.98/1.15 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_Suc__eq__plus1__left_0,axiom,
% 0.98/1.15 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_Suc__eq__plus1_0,axiom,
% 0.98/1.15 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_nonzero__minus__divide__right_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_divide__less__0__1__iff_1,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_divide__less__0__1__iff_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | ~ 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_neg__less__0__iff__less_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_neg__less__0__iff__less_1,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__less__iff__conj_2,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_natgb_Oadd__mul__solve_1,axiom,
% 0.98/1.15 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) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_natgb_Onoteq__reduce_1,axiom,
% 0.98/1.15 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) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.98/1.15 | ~ class_Int_Onumber__ring(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.98/1.15 | ~ class_Int_Onumber__ring(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_max__Suc__Suc_0,axiom,
% 0.98/1.15 c_Orderings_Oord__class_Omax(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omax(V_m,V_n,tc_nat)) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_less__Suc0_0,axiom,
% 0.98/1.15 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.98/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.98/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_abs__triangle__ineq3_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__max_Oinf__left__idem_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omin(V_x,V_y,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_subst__Var_2,axiom,
% 0.98/1.15 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.98/1.15 | V_i = V_k
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_abs__mult__less_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_nat__diff__add__eq2_0,axiom,
% 0.98/1.15 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.98/1.15 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_nat__diff__add__eq1_0,axiom,
% 0.98/1.15 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat)
% 0.98/1.15 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_diff__add__cancel_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.98/1.15 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_inverse__inverse__eq_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_mult__le__cancel2_1,axiom,
% 0.98/1.15 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_mult__le__cancel1_1,axiom,
% 0.98/1.15 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_class__semiring_Opwr__pwr_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_power__Suc2_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_power__Suc_0,axiom,
% 0.98/1.15 ( ~ class_Power_Opower(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_class__semiring_Opwr__Suc_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_class__semiring_Osemiring__rules_I35_J_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_add__le__mono_0,axiom,
% 0.98/1.15 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat)
% 0.98/1.15 | ~ c_lessequals(V_k,V_l,tc_nat)
% 0.98/1.15 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_add__mono_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ c_lessequals(V_c,V_d,T_a)
% 0.98/1.15 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_less__Suc__eq__le_1,axiom,
% 0.98/1.15 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.98/1.15 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_less__Suc__eq__le_0,axiom,
% 0.98/1.15 ( c_lessequals(V_m,V_n,tc_nat)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_le__less__Suc__eq_1,axiom,
% 0.98/1.15 ( ~ c_lessequals(V_x,V_x,tc_nat)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_class__semiring_Omul__c_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.15 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_nat__mult__commute_0,axiom,
% 0.98/1.15 c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.15 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_diff__less__Suc_0,axiom,
% 0.98/1.15 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_mod__add__eq_0,axiom,
% 0.98/1.15 ( ~ class_Divides_Osemiring__div(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.98/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_zero__le__power__abs_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_inverse__less__imp__less_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.15 | ~ 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_less__imp__inverse__less_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_inverse__less__imp__less__neg_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | ~ 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_less__imp__inverse__less__neg_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_le__zero__iff__pprt__id_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.98/1.15 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) = V_a
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_le__zero__iff__pprt__id_1,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.98/1.15 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) != V_a
% 0.98/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_power__Suc__less__one_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_mult__eq__if_1,axiom,
% 0.98/1.15 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat),tc_nat)
% 0.98/1.15 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_order__less__trans_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Opreorder(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_xt1_I10_J_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Oorder(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_sgn__if_2,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 0.98/1.15 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.98/1.15 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__max_Ole__iff__sup_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y
% 0.98/1.15 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_mult__left__less__imp__less_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.98/1.15 | ~ 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_square__eq__iff_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.98/1.15 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)
% 0.98/1.15 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.98/1.15 | V_a = V_b ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_abs__of__neg_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.98/1.15 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_abs__if__lattice_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.98/1.15 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_abs__if_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 0.98/1.15 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_mod__minus__cong_0,axiom,
% 0.98/1.15 ( ~ class_Divides_Oring__div(T_a)
% 0.98/1.15 | c_Divides_Odiv__class_Omod(V_a,V_b,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_b,T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_mod__mult__eq_0,axiom,
% 0.98/1.15 ( ~ class_Divides_Osemiring__div(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_dvd__diff_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.98/1.15 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a)
% 0.98/1.15 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a)
% 0.98/1.15 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_power__commutes_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_le__max__iff__disj_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(V_z,V_y,T_a)
% 0.98/1.15 | c_lessequals(V_z,V_x,T_a)
% 0.98/1.15 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_class__semiring_Omul__pwr_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_liftn__lift_0,axiom,
% 0.98/1.15 c_Lambda_Oliftn(c_Suc(V_n),V_t,V_k) = c_Lambda_Olift(c_Lambda_Oliftn(V_n,V_t,V_k),V_k) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_nat__eq__add__iff1_1,axiom,
% 0.98/1.15 ( ~ c_lessequals(V_j,V_i,tc_nat)
% 0.98/1.15 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__max_Ole__inf__iff_1,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(V_x,V_z,T_a)
% 0.98/1.15 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__max_Ole__inf__iff_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(V_x,V_y,T_a)
% 0.98/1.15 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__le__iff__disj_2,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.98/1.15 | ~ c_lessequals(V_y,V_z,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__le__iff__disj_1,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.98/1.15 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__max_Ole__infI2_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.98/1.15 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__max_Ole__infI1_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.98/1.15 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__max_Ole__infE_1,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(V_x,V_b,T_a)
% 0.98/1.15 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__max_Ole__infE_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(V_x,V_a,T_a)
% 0.98/1.15 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_sgn__greater_1,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_sgn__greater_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_divide__less__eq_1,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_divide__less__eq_4,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_divide__less__eq_5,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_divide__less__eq_7,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_less__divide__eq_1,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_less__divide__eq_4,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_less__divide__eq_5,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_less__divide__eq_7,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_inverse__le__1__iff_2,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.98/1.15 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.98/1.15 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.98/1.15 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.98/1.15 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_Suc__inject_0,axiom,
% 0.98/1.15 ( c_Suc(V_x) != c_Suc(V_y)
% 0.98/1.15 | V_x = V_y ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_nat_Oinject_0,axiom,
% 0.98/1.15 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.98/1.15 | V_nat = V_nat_H ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_abs__ge__minus__self_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.98/1.15 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_One__nat__def_0,axiom,
% 0.98/1.15 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_diff__divide__distrib_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_abs__ge__self_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.98/1.15 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.98/1.15 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_less__add__iff2_1,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_less__add__iff2_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_less__add__iff1_1,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_less__add__iff1_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_nat__eq__add__iff1_0,axiom,
% 0.98/1.15 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat)
% 0.98/1.15 | ~ c_lessequals(V_j,V_i,tc_nat)
% 0.98/1.15 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat) = V_n ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_nat__eq__add__iff2_0,axiom,
% 0.98/1.15 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat)
% 0.98/1.15 | ~ c_lessequals(V_i,V_j,tc_nat)
% 0.98/1.15 | V_m = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.15 | c_Power_Opower__class_Opower(V_x,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_x ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_power__one__right_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.98/1.15 | c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_a ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__le__iff__disj_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(V_y,V_z,T_a)
% 0.98/1.15 | c_lessequals(V_x,V_z,T_a)
% 0.98/1.15 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_nat__eq__add__iff2_1,axiom,
% 0.98/1.15 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 0.98/1.15 | 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(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_eq__divide__eq_4,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_mod__add__cong_0,axiom,
% 0.98/1.15 ( ~ class_Divides_Osemiring__div(T_a)
% 0.98/1.15 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.98/1.15 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.98/1.15 | 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_less__Suc0_1,axiom,
% 0.98/1.15 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | ~ 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_even__less__0__iff_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | ~ 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_even__less__0__iff_1,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_one__is__add_1,axiom,
% 0.98/1.15 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.98/1.15 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.98/1.15 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_one__is__add_2,axiom,
% 0.98/1.15 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.98/1.15 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.98/1.15 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_zero__less__mult__pos2_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.15 | ~ 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_zero__less__mult__pos_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.15 | ~ 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_mult__pos__pos_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_mult__neg__neg_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_nat__0__less__mult__iff_2,axiom,
% 0.98/1.15 ( 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)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_power__less__imp__less__base_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.98/1.15 | ~ 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__max_Ole__sup__iff_1,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(V_y,V_z,T_a)
% 0.98/1.15 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__max_Ole__sup__iff_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(V_x,V_z,T_a)
% 0.98/1.15 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_le__max__iff__disj_2,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.98/1.15 | ~ c_lessequals(V_z,V_y,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_le__max__iff__disj_1,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.98/1.15 | ~ c_lessequals(V_z,V_x,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__max_Ole__supI2_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.98/1.15 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__max_Ole__supI1_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.98/1.15 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__max_Ole__supE_1,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(V_b,V_x,T_a)
% 0.98/1.15 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_min__max_Ole__supE_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_lessequals(V_a,V_x,T_a)
% 0.98/1.15 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_le__diff__conv_0,axiom,
% 0.98/1.15 ( c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_le__diff__conv_1,axiom,
% 0.98/1.15 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)
% 0.98/1.15 | ~ c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_zero__less__power_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.98/1.15 | 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)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_less__max__iff__disj_0,axiom,
% 0.98/1.15 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_mult__Suc__right_0,axiom,
% 0.98/1.15 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) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_mult__Suc_0,axiom,
% 0.98/1.15 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) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.98/1.15 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.98/1.15 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_minus__unique_0,axiom,
% 0.98/1.15 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.98/1.15 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.98/1.15 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_abs__less__iff_1,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_substn_Osimps_I1_J_2,axiom,
% 0.98/1.15 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.98/1.15 | V_i = V_k
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_not__one__less__zero_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_abs__less__iff_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.98/1.15 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_sgn__if_1,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 0.98/1.15 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.98/1.15 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.98/1.15 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.98/1.15 | V_dB = V_dB_H ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.98/1.15 | ~ 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) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_nat__le__add__iff1_0,axiom,
% 0.98/1.15 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.98/1.15 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_nat__le__add__iff1_1,axiom,
% 0.98/1.15 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat)
% 0.98/1.15 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_nat__le__add__iff2_0,axiom,
% 0.98/1.15 ( c_lessequals(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.98/1.15 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_nat__le__add__iff2_1,axiom,
% 0.98/1.15 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.98/1.15 | ~ c_lessequals(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.98/1.15 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_divide__le__eq_8,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.15 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.98/1.15 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.98/1.15
% 0.98/1.15 cnf(cls_le__divide__eq_8,axiom,
% 0.98/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.15 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.98/1.15 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.16 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.98/1.16 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_of__nat__mult_0,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_min__less__iff__disj_0,axiom,
% 0.98/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.16 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.98/1.16 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.98/1.16 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.98/1.16 | ~ class_Int_Onumber__ring(T_a)
% 0.98/1.16 | 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)
% 0.98/1.16 | V_y = V_z
% 0.98/1.16 | V_w = V_x ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.98/1.16 | ~ class_Int_Onumber__ring(T_a)
% 0.98/1.16 | 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)
% 0.98/1.16 | V_c = V_d
% 0.98/1.16 | V_a = V_b ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_min__max_Ole__iff__sup_1,axiom,
% 0.98/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.16 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y
% 0.98/1.16 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_min__max_Osup__absorb1_0,axiom,
% 0.98/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.16 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x
% 0.98/1.16 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_add__cancel__21_1,axiom,
% 0.98/1.16 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_nat__add__left__commute_0,axiom,
% 0.98/1.16 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) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_nat__add__assoc_0,axiom,
% 0.98/1.16 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) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.98/1.16 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.98/1.16 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.98/1.16 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_add__gr__0_0,axiom,
% 0.98/1.16 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.98/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.98/1.16 | ~ 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_power__add_0,axiom,
% 0.98/1.16 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_one__le__mult__iff_1,axiom,
% 0.98/1.16 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 0.98/1.16 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_one__le__mult__iff_0,axiom,
% 0.98/1.16 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.98/1.16 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_add__cancel__21_0,axiom,
% 0.98/1.16 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.98/1.16 | 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)
% 0.98/1.16 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_abs__triangle__ineq_0,axiom,
% 0.98/1.16 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_trans__le__add2_0,axiom,
% 0.98/1.16 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 0.98/1.16 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_trans__le__add1_0,axiom,
% 0.98/1.16 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 0.98/1.16 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_add__leE_1,axiom,
% 0.98/1.16 ( c_lessequals(V_k,V_n,tc_nat)
% 0.98/1.16 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_add__leE_0,axiom,
% 0.98/1.16 ( c_lessequals(V_m,V_n,tc_nat)
% 0.98/1.16 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_termination__basic__simps_I4_J_0,axiom,
% 0.98/1.16 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.98/1.16 | ~ c_lessequals(V_x,V_z,tc_nat) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_termination__basic__simps_I3_J_0,axiom,
% 0.98/1.16 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.98/1.16 | ~ c_lessequals(V_x,V_y,tc_nat) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_mod__diff__left__eq_0,axiom,
% 0.98/1.16 ( ~ class_Divides_Oring__div(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_mod__diff__right__eq_0,axiom,
% 0.98/1.16 ( ~ class_Divides_Oring__div(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_inverse__positive__imp__positive_0,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.16 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.98/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_lift_Osimps_I1_J_1,axiom,
% 0.98/1.16 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.98/1.16 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_nonzero__abs__divide_0,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.16 | 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)
% 0.98/1.16 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_power__one_0,axiom,
% 0.98/1.16 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.98/1.16 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_nonzero__abs__inverse_0,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.16 | 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)
% 0.98/1.16 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_min__max_Ole__iff__inf_0,axiom,
% 0.98/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.16 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x
% 0.98/1.16 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_min__max_Ole__iff__inf_1,axiom,
% 0.98/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.16 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x
% 0.98/1.16 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_min__max_Oinf__absorb2_0,axiom,
% 0.98/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.16 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y
% 0.98/1.16 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_max__diff__distrib__left_0,axiom,
% 0.98/1.16 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.98/1.16 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_not__leE_0,axiom,
% 0.98/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.16 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.98/1.16 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.98/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.16 | ~ c_lessequals(V_x,V_x,T_a)
% 0.98/1.16 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.98/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.16 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.98/1.16 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_linorder__not__less_1,axiom,
% 0.98/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.16 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.98/1.16 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_linorder__not__less_0,axiom,
% 0.98/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.16 | c_lessequals(V_y,V_x,T_a)
% 0.98/1.16 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_linorder__not__le_1,axiom,
% 0.98/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.16 | ~ c_lessequals(V_x,V_y,T_a)
% 0.98/1.16 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_linorder__not__le_0,axiom,
% 0.98/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.16 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.98/1.16 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_less__le__not__le_1,axiom,
% 0.98/1.16 ( ~ class_Orderings_Opreorder(T_a)
% 0.98/1.16 | ~ c_lessequals(V_y,V_x,T_a)
% 0.98/1.16 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_subst__Var_1,axiom,
% 0.98/1.16 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.98/1.16 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_neg__0__le__iff__le_0,axiom,
% 0.98/1.16 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.98/1.16 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_neg__0__le__iff__le_1,axiom,
% 0.98/1.16 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.98/1.16 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.98/1.16 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_divide__self__if_1,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.98/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.16 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.98/1.16 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_divide__self_0,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.98/1.16 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.98/1.16 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_right__inverse__eq_1,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.98/1.16 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.98/1.16 | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_mod__add__left__eq_0,axiom,
% 0.98/1.16 ( ~ class_Divides_Osemiring__div(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_mod__add__right__eq_0,axiom,
% 0.98/1.16 ( ~ class_Divides_Osemiring__div(T_a)
% 0.98/1.16 | 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) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_zero__le__divide__iff_3,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.16 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.16 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.98/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_zero__le__divide__iff_2,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.16 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.16 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.98/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_zero__le__divide__iff_1,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.16 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.16 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_zero__le__divide__iff_0,axiom,
% 0.98/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.98/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.98/1.16 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.98/1.16 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.98/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_min__max_Oinf__assoc_0,axiom,
% 0.98/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.16 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_min__max_Oinf__left__commute_0,axiom,
% 0.98/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 0.98/1.16 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(V_y,c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_nat__mult__eq__1__iff_1,axiom,
% 0.98/1.16 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 0.98/1.16 | V_n = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_nat__mult__eq__1__iff_0,axiom,
% 0.98/1.16 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 0.98/1.16 | V_m = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.98/1.16
% 0.98/1.16 cnf(cls_one__is__add_5,axiom,
% 0.98/1.16 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) ).
% 0.98/1.16
% 1.08/1.16 cnf(cls_add__strict__increasing2_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.08/1.16 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_power__increasing_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.16 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 1.08/1.16 | ~ c_lessequals(V_n,V_N,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_diff__le__mono2_0,axiom,
% 1.08/1.16 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_diff__le__mono_0,axiom,
% 1.08/1.16 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_l,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_l,tc_nat),tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_le__diff__iff_1,axiom,
% 1.08/1.16 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_m,V_n,tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_le__diff__iff_0,axiom,
% 1.08/1.16 ( c_lessequals(V_m,V_n,tc_nat)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_diff__add__0_0,axiom,
% 1.08/1.16 c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_diff__diff__left_0,axiom,
% 1.08/1.16 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_power__mono_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.16 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_of__nat__1_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 1.08/1.16 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_eq__eqI_1,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.08/1.16 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 1.08/1.16 | V_xa = V_y ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_eq__eqI_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.08/1.16 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 1.08/1.16 | V_x_H = V_y_H ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_eq__diff__iff_0,axiom,
% 1.08/1.16 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_k,V_m,tc_nat)
% 1.08/1.16 | V_m = V_n ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_min__max_Oinf__sup__absorb_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_nat__mult__eq__cancel1_0,axiom,
% 1.08/1.16 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.08/1.16 | V_m = V_n ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_one__is__add_3,axiom,
% 1.08/1.16 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 1.08/1.16 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.08/1.16 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_one__is__add_0,axiom,
% 1.08/1.16 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 1.08/1.16 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.08/1.16 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mult__less__cancel2_0,axiom,
% 1.08/1.16 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.08/1.16 | ~ 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mult__less__cancel1_0,axiom,
% 1.08/1.16 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.08/1.16 | ~ 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_of__nat__Suc_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_inverse__le__1__iff_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 1.08/1.16 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_add__Suc__shift_0,axiom,
% 1.08/1.16 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) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mult__le__cancel2_0,axiom,
% 1.08/1.16 ( c_lessequals(V_m,V_n,tc_nat)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mult__le__cancel1_0,axiom,
% 1.08/1.16 ( c_lessequals(V_m,V_n,tc_nat)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_nat__mult__le__cancel1_0,axiom,
% 1.08/1.16 ( c_lessequals(V_m,V_n,tc_nat)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_nat__mult__le__cancel1_1,axiom,
% 1.08/1.16 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_m,V_n,tc_nat)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.16 | c_lessequals(V_b,V_a,T_a)
% 1.08/1.16 | ~ 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)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_lessequals(V_b,V_a,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.16 | c_lessequals(V_a,V_b,T_a)
% 1.08/1.16 | ~ 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)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_lessequals(V_a,V_b,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mult__left__le__imp__le_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.08/1.16 | c_lessequals(V_a,V_b,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.16 | ~ 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mult__right__le__imp__le_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.08/1.16 | c_lessequals(V_a,V_b,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.16 | ~ 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_one__less__mult_0,axiom,
% 1.08/1.16 ( 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)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_le__divide__eq_7,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_le__divide__eq_5,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_divide__le__eq_7,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_divide__le__eq_5,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_minus__divide__divide_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_diff__cancel2_0,axiom,
% 1.08/1.16 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_natgb_Onoteq__reduce_0,axiom,
% 1.08/1.16 ( 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)
% 1.08/1.16 | V_c = V_d
% 1.08/1.16 | V_a = V_b ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_natgb_Oadd__mul__solve_0,axiom,
% 1.08/1.16 ( 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)
% 1.08/1.16 | V_y = V_z
% 1.08/1.16 | V_w = V_x ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_abs__div__pos_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_abs__mult__self_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_nat__size_0,axiom,
% 1.08/1.16 c_Nat_Osize__class_Osize(V_n,tc_nat) = V_n ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_nonzero__inverse__minus__eq_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_nonzero__power__inverse_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_diff__Suc__Suc_0,axiom,
% 1.08/1.16 c_HOL_Ominus__class_Ominus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 1.08/1.16 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_neg__less__iff__less_1,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_neg__less__iff__less_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.08/1.16 | ~ 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_add__nonpos__neg_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_add__neg__nonpos_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_less__SucE_0,axiom,
% 1.08/1.16 ( V_m = V_n
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_less__antisym_0,axiom,
% 1.08/1.16 ( V_m = V_n
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 1.08/1.16 ( V_n = V_m
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mult__eq__self__implies__10_0,axiom,
% 1.08/1.16 ( V_m != c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)
% 1.08/1.16 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.08/1.16 | V_n = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mod__mult__cong_0,axiom,
% 1.08/1.16 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.16 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 1.08/1.16 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_diff__add__assoc_0,axiom,
% 1.08/1.16 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_diff__add__assoc2_0,axiom,
% 1.08/1.16 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_add__frac__eq_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.16 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mult__eq__1__iff_2,axiom,
% 1.08/1.16 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)) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_divide__eq__eq_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)
% 1.08/1.16 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_eq__divide__eq_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b
% 1.08/1.16 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_zero__le__one_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.16 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_abs__power__minus_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_diff__diff__right_0,axiom,
% 1.08/1.16 ( c_HOL_Ominus__class_Ominus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_inverse__less__1__iff_1,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_add__eq__if_1,axiom,
% 1.08/1.16 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat))
% 1.08/1.16 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_less__imp__diff__less_0,axiom,
% 1.08/1.16 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_abs__le__zero__iff_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.16 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_nat_Osize_I4_J_0,axiom,
% 1.08/1.16 c_Nat_Osize__class_Osize(c_Suc(V_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_nat,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mod__by__1_0,axiom,
% 1.08/1.16 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.16 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_abs__mult__pos_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_divide__le__0__1__iff_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_divide__le__0__1__iff_1,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_one__le__inverse__iff_1,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_dvd__abs__iff_1,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.16 | c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a)
% 1.08/1.16 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_dvd__abs__iff_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.16 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 1.08/1.16 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_abs__dvd__iff_1,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.16 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a)
% 1.08/1.16 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_abs__dvd__iff_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.16 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 1.08/1.16 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_one__is__add_4,axiom,
% 1.08/1.16 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) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_less__le__not__le_2,axiom,
% 1.08/1.16 ( ~ class_Orderings_Opreorder(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.08/1.16 | c_lessequals(V_y,V_x,T_a)
% 1.08/1.16 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_nat__less__le_1,axiom,
% 1.08/1.16 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_less__not__refl_0,axiom,
% 1.08/1.16 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_order__less__le_1,axiom,
% 1.08/1.16 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_linorder__neq__iff_1,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_order__less__irrefl_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Opreorder(T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_le__imp__diff__is__add_1,axiom,
% 1.08/1.16 ( ~ c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),tc_nat)
% 1.08/1.16 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),V_i,tc_nat) = V_k ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_min__max_Oinf__idem_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_eq__divide__imp_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.16 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.16 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_divide__eq__imp_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.16 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.16 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_divide__eq__eq_3,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a
% 1.08/1.16 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_eq__divide__eq_3,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)
% 1.08/1.16 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_estimate__by__abs_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 1.08/1.16 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_liftn_Osimps_I1_J_1,axiom,
% 1.08/1.16 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(V_i,V_n,tc_nat))
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_beta_0,axiom,
% 1.08/1.16 c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(V_s),V_t),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_add__pos__pos_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_le__add1_0,axiom,
% 1.08/1.16 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_le__add2_0,axiom,
% 1.08/1.16 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_le__iff__add_1,axiom,
% 1.08/1.16 c_lessequals(V_m,c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat),tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_nat__minus__add__max_0,axiom,
% 1.08/1.16 c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),V_m,tc_nat) = c_Orderings_Oord__class_Omax(V_n,V_m,tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_compl__eq__compl__iff_0,axiom,
% 1.08/1.16 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.08/1.16 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 1.08/1.16 | V_x = V_y ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_neg__equal__iff__equal_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.16 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 1.08/1.16 | V_a = V_b ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_power__divide_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_not__one__le__zero_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_negative__imp__inverse__negative_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_inverse__negative__iff__negative_1,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_inverse__negative__iff__negative_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_power__gt1__lemma_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_liftn_Osimps_I3_J_0,axiom,
% 1.08/1.16 c_Lambda_Oliftn(V_n,c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Oliftn(V_n,V_s,c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.08/1.16 | V_x = V_y ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | V_x = V_y
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_le__antisym_0,axiom,
% 1.08/1.16 ( V_m = V_n
% 1.08/1.16 | ~ c_lessequals(V_n,V_m,tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_nat__neq__iff_0,axiom,
% 1.08/1.16 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.16 | V_m = V_n ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_linorder__neqE__nat_0,axiom,
% 1.08/1.16 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 1.08/1.16 | V_x = V_y ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_order__eq__iff_2,axiom,
% 1.08/1.16 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.16 | V_x = V_y
% 1.08/1.16 | ~ c_lessequals(V_y,V_x,T_a)
% 1.08/1.16 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_linorder__neqE_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.08/1.16 | V_x = V_y ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_order__antisym_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.16 | V_x = V_y
% 1.08/1.16 | ~ c_lessequals(V_y,V_x,T_a)
% 1.08/1.16 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_order__antisym__conv_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.16 | V_x = V_y
% 1.08/1.16 | ~ c_lessequals(V_x,V_y,T_a)
% 1.08/1.16 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_linorder__less__linear_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.08/1.16 | V_x = V_y
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_linorder__antisym__conv3_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | V_x = V_y
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mod__diff__cong_0,axiom,
% 1.08/1.16 ( ~ class_Divides_Oring__div(T_a)
% 1.08/1.16 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 1.08/1.16 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_le__iff__diff__le__0_1,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.16 | c_lessequals(V_a,V_b,T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_le__iff__diff__le__0_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.16 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_Suc__diff__1_0,axiom,
% 1.08/1.16 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = V_n
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_Suc__pred_H_0,axiom,
% 1.08/1.16 ( V_n = c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_min__max_Osup__idem_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_abs__of__nonneg_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.16 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 1.08/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 1.08/1.16 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H)
% 1.08/1.16 | V_dB2 = V_dB2_H ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 1.08/1.16 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H)
% 1.08/1.16 | V_dB1 = V_dB1_H ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_add__strict__mono_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_add__less__mono_0,axiom,
% 1.08/1.16 ( 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)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 1.08/1.16 ( c_lessequals(V_x,V_y,tc_nat)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_diff__cancel_0,axiom,
% 1.08/1.16 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_zero__less__Suc_0,axiom,
% 1.08/1.16 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_gr0__conv__Suc_1,axiom,
% 1.08/1.16 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_one__le__inverse__iff_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_min__max_Oless__supI1_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_min__max_Oless__supI2_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_less__max__iff__disj_1,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_less__max__iff__disj_2,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_max__less__iff__conj_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_max__less__iff__conj_1,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_min__max_Oinf__commute_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_one__less__power_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_left__add__mult__distrib_0,axiom,
% 1.08/1.16 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) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_combine__common__factor_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_diff__le__self_0,axiom,
% 1.08/1.16 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_left__minus_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_right__minus_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_ab__left__minus_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_nat__0__less__mult__iff_1,axiom,
% 1.08/1.16 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.08/1.16 | ~ 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_nat__0__less__mult__iff_0,axiom,
% 1.08/1.16 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 1.08/1.16 | ~ 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_add__neg__neg_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_power__strict__mono_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.16 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.16 | ~ 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.16 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.16 | ~ 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_diff__mult__distrib2_0,axiom,
% 1.08/1.16 c_HOL_Otimes__class_Otimes(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_diff__mult__distrib_0,axiom,
% 1.08/1.16 c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_power__diff_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.16 | c_Power_Opower__class_Opower(V_a,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(V_n,V_m,tc_nat)
% 1.08/1.16 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_dvd__imp__mod__0_0,axiom,
% 1.08/1.16 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.16 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.16 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_dvd__eq__mod__eq__0_1,axiom,
% 1.08/1.16 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.16 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.16 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_min__max_Oless__infI1_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_min__max_Oless__infI2_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_min__less__iff__conj_0,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_min__less__iff__conj_1,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_min__less__iff__disj_1,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_min__less__iff__disj_2,axiom,
% 1.08/1.16 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.16 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_Nat_Odiff__diff__eq_0,axiom,
% 1.08/1.16 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_diff__commute_0,axiom,
% 1.08/1.16 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_add__nonneg__pos_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_add__pos__nonneg_0,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_abs__le__zero__iff_1,axiom,
% 1.08/1.16 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_inverse__mult__distrib_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.16 | 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) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_nonzero__inverse__mult__distrib_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.16 | 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)
% 1.08/1.16 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.16 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_diff__less__mono_0,axiom,
% 1.08/1.16 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_c,tc_nat),c_HOL_Ominus__class_Ominus(V_b,V_c,tc_nat),tc_nat)
% 1.08/1.16 | ~ c_lessequals(V_c,V_a,tc_nat)
% 1.08/1.16 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mult__le__0__iff_4,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.16 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mult__le__0__iff_5,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.16 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.16 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_split__mult__neg__le_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.08/1.16 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_split__mult__neg__le_1,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.08/1.16 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.16 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.16
% 1.08/1.16 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 1.08/1.16 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.08/1.16 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.16 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.08/1.17 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.17 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.08/1.17 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.17 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_not__square__less__zero_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.17 | ~ 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) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_Suc__mult__less__cancel1_1,axiom,
% 1.08/1.17 ( 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)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_Suc__mult__less__cancel1_0,axiom,
% 1.08/1.17 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.17 | ~ 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) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_Suc__lessI_0,axiom,
% 1.08/1.17 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 1.08/1.17 | c_Suc(V_m) = V_n
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_not__less__eq__eq_1,axiom,
% 1.08/1.17 ( ~ c_lessequals(V_m,V_n,tc_nat)
% 1.08/1.17 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_not__less__eq__eq_0,axiom,
% 1.08/1.17 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 1.08/1.17 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 1.08/1.17 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat)
% 1.08/1.17 | V_y = V_z ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_nat__add__right__cancel_0,axiom,
% 1.08/1.17 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat)
% 1.08/1.17 | V_m = V_n ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_nat__add__left__cancel_0,axiom,
% 1.08/1.17 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 1.08/1.17 | V_m = V_n ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.08/1.17 | ~ class_Int_Onumber__ring(T_a)
% 1.08/1.17 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 1.08/1.17 | V_y = V_z ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_add__imp__eq_0,axiom,
% 1.08/1.17 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 1.08/1.17 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 1.08/1.17 | V_b = V_c ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_add__left__cancel_0,axiom,
% 1.08/1.17 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 1.08/1.17 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 1.08/1.17 | V_b = V_c ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_add__right__cancel_0,axiom,
% 1.08/1.17 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 1.08/1.17 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 1.08/1.17 | V_b = V_c ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_abs__minus__cancel_0,axiom,
% 1.08/1.17 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.17 | 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) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_inverse__eq__1__iff_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.17 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) != c_HOL_Oone__class_Oone(T_a)
% 1.08/1.17 | V_x = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_inverse__less__1__iff_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.17 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 1.08/1.17 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_abs__leI_0,axiom,
% 1.08/1.17 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.17 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 1.08/1.17 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 1.08/1.17 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_abs__le__iff_2,axiom,
% 1.08/1.17 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.17 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 1.08/1.17 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 1.08/1.17 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_divide__1_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.17 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_min__add__distrib__left_0,axiom,
% 1.08/1.17 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.08/1.17 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_le__add__diff_0,axiom,
% 1.08/1.17 ( c_lessequals(V_m,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_k,tc_nat),tc_nat)
% 1.08/1.17 | ~ c_lessequals(V_k,V_n,tc_nat) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_mult__left__le__one__le_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.17 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)
% 1.08/1.17 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.08/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.08/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_divide__nonpos__neg_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.17 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_divide__nonneg__pos_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.08/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_mult__right__le__one__le_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.17 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)
% 1.08/1.17 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.08/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.08/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_mod__diff__eq_0,axiom,
% 1.08/1.17 ( ~ class_Divides_Oring__div(T_a)
% 1.08/1.17 | 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) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_power__abs_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.17 | 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) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_abs__of__nat_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.17 | 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) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_dvd__power__same_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.17 | 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)
% 1.08/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_abs__inverse_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.17 | 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) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_divide__strict__right__mono_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.17 | 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)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_divide__strict__right__mono__neg_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.17 | 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)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_subst__subst_0,axiom,
% 1.08/1.17 ( c_Lambda_Osubst(c_Lambda_Osubst(V_t,c_Lambda_Olift(V_v,V_i),c_Suc(V_j)),c_Lambda_Osubst(V_u,V_v,V_j),V_i) = c_Lambda_Osubst(c_Lambda_Osubst(V_t,V_u,V_i),V_v,V_j)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_abs__divide_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.17 | 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) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_abs__of__pos_0,axiom,
% 1.08/1.17 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.17 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_inverse__positive__iff__positive_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.17 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_inverse__positive__iff__positive_1,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.17 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_positive__imp__inverse__positive_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.17 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_mod__mult__left__eq_0,axiom,
% 1.08/1.17 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.17 | 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) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_mod__mult__right__eq_0,axiom,
% 1.08/1.17 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.17 | 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) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_add__is__1_3,axiom,
% 1.08/1.17 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.08/1.17 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.08/1.17 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_add__is__1_0,axiom,
% 1.08/1.17 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.08/1.17 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.08/1.17 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_sgn__less_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.17 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_sgn__less_1,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.17 | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_Suc__diff__diff_0,axiom,
% 1.08/1.17 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_dvd__minus__iff_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 1.08/1.17 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 1.08/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_dvd__minus__iff_1,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 1.08/1.17 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a)
% 1.08/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_nat__less__le_0,axiom,
% 1.08/1.17 ( c_lessequals(V_m,V_n,tc_nat)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_order__le__less_1,axiom,
% 1.08/1.17 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.17 | c_lessequals(V_x,V_y,T_a)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_order__less__imp__le_0,axiom,
% 1.08/1.17 ( ~ class_Orderings_Opreorder(T_a)
% 1.08/1.17 | c_lessequals(V_x,V_y,T_a)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_minus__add__cancel_0,axiom,
% 1.08/1.17 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.17 | 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 ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_add__cancel__end_1,axiom,
% 1.08/1.17 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.08/1.17 | 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 ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_inverse__1_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.17 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_one__less__inverse__iff_2,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.17 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.08/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_inverse__eq__1__iff_1,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.17 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_dvd__trans_0,axiom,
% 1.08/1.17 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.17 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 1.08/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 1.08/1.17 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 1.08/1.17
% 1.08/1.17 cnf(cls_dvd__refl_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__le__divide__iff_4,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__le__divide__iff_5,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_frac__le_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(V_w,V_z,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 1.08/1.18 | ~ c_lessequals(V_x,V_y,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_power__gt1_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_beta__cases_I1_J_0,axiom,
% 1.08/1.18 ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_diff__Suc__diff__eq1_0,axiom,
% 1.08/1.18 ( c_HOL_Ominus__class_Ominus(V_m,c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_Suc(V_j),tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__iff__diff__less__0_1,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__iff__diff__less__0_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs__not__less__zero_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_of__nat__less__iff_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_of__nat__less__iff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_dvd__mult__cancel__right_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_dvd__mult__cancel__left_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_lessI_0,axiom,
% 1.08/1.18 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__Suc__eq_2,axiom,
% 1.08/1.18 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__trans__Suc_0,axiom,
% 1.08/1.18 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__le__cancel__right_1,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__le__cancel__right_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.08/1.18 | c_lessequals(V_a,V_b,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__le__cancel__left_1,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__le__cancel__left_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.08/1.18 | c_lessequals(V_a,V_b,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__right__mono_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__left__mono_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__le__mono1_0,axiom,
% 1.08/1.18 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_nat__add__left__cancel__le_0,axiom,
% 1.08/1.18 ( c_lessequals(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_nat__add__left__cancel__le_1,axiom,
% 1.08/1.18 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs__eq__mult_3,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs__eq__mult_2,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs__eq__mult_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs__eq__mult_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs__mult_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__less__one_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__frac__frac_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_minus__mult__right_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_minus__mult__left_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__imp__diff__is__add_0,axiom,
% 1.08/1.18 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 1.08/1.18 | V_j = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_i,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__add__diff__inverse_0,axiom,
% 1.08/1.18 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m
% 1.08/1.18 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__add__diff__inverse2_0,axiom,
% 1.08/1.18 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m
% 1.08/1.18 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel1_1,axiom,
% 1.08/1.18 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel2_1,axiom,
% 1.08/1.18 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__eq__neg_1,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.08/1.18 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__eq__neg_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__strict__left__mono__neg_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__strict__left__mono_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__add__one_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__diff__assoc_0,axiom,
% 1.08/1.18 ( c_HOL_Oplus__class_Oplus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__diff__assoc2_0,axiom,
% 1.08/1.18 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_k,tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_drop__drop_0,axiom,
% 1.08/1.18 c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_xs,T_a) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_power__le__imp__le__base_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | c_lessequals(V_a,V_b,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__left__idem_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_one__less__inverse__iff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_neg__le__0__iff__le_1,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_neg__le__0__iff__le_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_of__nat__0__less__iff_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_of__nat__0__less__iff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__le__imp__less_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | ~ c_lessequals(V_c,V_d,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__le__less__imp__less_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_one__dvd_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_power__inject__exp_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 1.08/1.18 | V_m = V_n ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_power__0_0,axiom,
% 1.08/1.18 ( ~ class_Power_Opower(T_a)
% 1.08/1.18 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_class__semiring_Opwr__0_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_subst__gt_0,axiom,
% 1.08/1.18 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_subst__Var_0,axiom,
% 1.08/1.18 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_sgn__1__neg_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.18 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_sgn__neg_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.18 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_class__semiring_Osemiring__rules_I27_J_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_class__semiring_Osemiring__rules_I28_J_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_minus__mult__commute_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs__less__iff_2,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mod__add__self2_0,axiom,
% 1.08/1.18 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mod__add__self1_0,axiom,
% 1.08/1.18 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs__triangle__ineq4_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_dvd__power__le_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | 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_m,T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_n,V_m,tc_nat)
% 1.08/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__le__0__iff_3,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__le__0__iff_2,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__le__0__iff_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__le__0__iff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__pos__neg2_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__pos__neg_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__neg__pos_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs__le__D2_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_Suc__leD_0,axiom,
% 1.08/1.18 ( c_lessequals(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__SucI_0,axiom,
% 1.08/1.18 ( c_lessequals(V_m,c_Suc(V_n),tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_n__less__m__mult__n_0,axiom,
% 1.08/1.18 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_n__less__n__mult__m_0,axiom,
% 1.08/1.18 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__minus__cancel_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.18 | 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 ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_class__fieldgb_Odivide__inverse_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.18 | ~ class_Int_Onumber__ring(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__inverse_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_Suc__n__not__le__n_0,axiom,
% 1.08/1.18 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_dvd__mult__right_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 1.08/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_dvd__mult__left_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 1.08/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_minus__dvd__iff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 1.08/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 1.08/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_minus__dvd__iff_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 1.08/1.18 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)
% 1.08/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_nonzero__minus__divide__divide_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_class__ring_Osub__add_0,axiom,
% 1.08/1.18 ( ~ class_Int_Onumber__ring(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_diff__def_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_diff__minus_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_ab__diff__minus_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_diff__Suc__eq__diff__pred_0,axiom,
% 1.08/1.18 c_HOL_Ominus__class_Ominus(V_m,c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_Suc__mult__le__cancel1_1,axiom,
% 1.08/1.18 ( c_lessequals(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)
% 1.08/1.18 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_Suc__mult__le__cancel1_0,axiom,
% 1.08/1.18 ( c_lessequals(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ c_lessequals(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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__num__frac_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__frac__num_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_appR_0,axiom,
% 1.08/1.18 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(V_u,V_s),c_Lambda_OdB_OApp(V_u,V_t))
% 1.08/1.18 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_appL_0,axiom,
% 1.08/1.18 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(V_s,V_u),c_Lambda_OdB_OApp(V_t,V_u))
% 1.08/1.18 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_of__nat__less__0__iff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__less__0__iff_3,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__less__0__iff_2,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__less__0__iff_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__less__0__iff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__half__sum_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_gt__half__sum_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_group__add__class_Odiff__0_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_substn_Osimps_I1_J_0,axiom,
% 1.08/1.18 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_min__max_Osup__commute_0,axiom,
% 1.08/1.18 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.18 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_power__eq__imp__eq__base_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a)
% 1.08/1.18 | V_a = V_b
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__cancel__end_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.08/1.18 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 1.08/1.18 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs__sgn_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.18 | c_HOL_Oabs__class_Oabs(V_k,T_a) = c_HOL_Otimes__class_Otimes(V_k,c_HOL_Osgn__class_Osgn(V_k,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_liftn_Osimps_I1_J_0,axiom,
% 1.08/1.18 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__divide__mult__cancel__left_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__divide__mult__cancel__right_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_division__ring__inverse__add_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_inverse__add_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_dvd__add_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 1.08/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__Suc__eq_2,axiom,
% 1.08/1.18 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_one__less__inverse__iff_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_drop__replicate_0,axiom,
% 1.08/1.18 c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat),V_x,T_a) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_min__max_Odistrib__inf__le_0,axiom,
% 1.08/1.18 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.18 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_liftn_Osimps_I2_J_0,axiom,
% 1.08/1.18 c_Lambda_Oliftn(V_n,c_Lambda_OdB_OApp(V_s,V_t),V_k) = c_Lambda_OdB_OApp(c_Lambda_Oliftn(V_n,V_s,V_k),c_Lambda_Oliftn(V_n,V_t,V_k)) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__le__pprt_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__pos__pos_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__neg__neg_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__less__divide__iff_4,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__less__divide__iff_5,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_nat_Osize_I2_J_0,axiom,
% 1.08/1.18 c_nat_Onat__size(c_Suc(V_nat)) = c_HOL_Oplus__class_Oplus(c_nat_Onat__size(V_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_min__max_Osup__inf__absorb_0,axiom,
% 1.08/1.18 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.18 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mod__minus__eq_0,axiom,
% 1.08/1.18 ( ~ class_Divides_Oring__div(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__square_0,axiom,
% 1.08/1.18 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__frac__num_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_diff__diff__cancel_0,axiom,
% 1.08/1.18 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i
% 1.08/1.18 | ~ c_lessequals(V_i,V_n,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_nat__mult__eq__1__iff_2,axiom,
% 1.08/1.18 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) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 1.08/1.18 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_power__Suc__less_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_min__Suc__Suc_0,axiom,
% 1.08/1.18 c_Orderings_Oord__class_Omin(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat)) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_substn_Osimps_I1_J_1,axiom,
% 1.08/1.18 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 1.08/1.18 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_x),V_s,V_x) = c_Lambda_Oliftn(V_x,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__SucE_0,axiom,
% 1.08/1.18 ( V_m = c_Suc(V_n)
% 1.08/1.18 | c_lessequals(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 1.08/1.18 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_not__less__eq_1,axiom,
% 1.08/1.18 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_not__less__eq_0,axiom,
% 1.08/1.18 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_lift__lift_0,axiom,
% 1.08/1.18 ( c_Lambda_Olift(c_Lambda_Olift(V_t,V_i),c_Suc(V_k)) = c_Lambda_Olift(c_Lambda_Olift(V_t,V_k),V_i)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs__of__nonpos_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.18 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel2_2,axiom,
% 1.08/1.18 ( 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel1_2,axiom,
% 1.08/1.18 ( 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__mono2_0,axiom,
% 1.08/1.18 ( 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__mono1_0,axiom,
% 1.08/1.18 ( 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_nat__mult__less__cancel1_0,axiom,
% 1.08/1.18 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_nat__mult__less__cancel1_1,axiom,
% 1.08/1.18 ( 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.08/1.18 | ~ 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.08/1.18 | ~ 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__strict__left__mono_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__strict__right__mono_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__divide__eq_9,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__divide__eq_8,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__divide__eq_3,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__divide__eq_2,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__less__eq_9,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__less__eq_8,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__less__eq_3,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__less__eq_2,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_max__add__distrib__left_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.08/1.18 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_sgn__sgn_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.18 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) = c_HOL_Osgn__class_Osgn(V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_app__Var__IT_0,axiom,
% 1.08/1.18 ( c_InductTermi_OIT(c_Lambda_OdB_OApp(V_t,c_Lambda_OdB_OVar(V_i)))
% 1.08/1.18 | ~ c_InductTermi_OIT(V_t) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_power__inject__base_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_a = V_b
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__le__mono_0,axiom,
% 1.08/1.18 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_l,tc_nat),tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_k,V_l,tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__cube_0,axiom,
% 1.08/1.18 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat),tc_nat) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_dvd__mult2_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_dvd__mult_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__diff__iff_0,axiom,
% 1.08/1.18 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__diff__iff_1,axiom,
% 1.08/1.18 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_pos__add__strict_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_subst__lt_0,axiom,
% 1.08/1.18 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mod__mod__cancel_0,axiom,
% 1.08/1.18 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__less__divide__1__iff_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__less__divide__1__iff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.08/1.18 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs__if__lattice_1,axiom,
% 1.08/1.18 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.18 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 1.08/1.18 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs__if_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 1.08/1.18 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_power__strict__increasing__iff_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_power__strict__increasing__iff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 1.08/1.18 | ~ 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_power__strict__increasing_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_power__less__imp__less__exp_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_not__add__less1_0,axiom,
% 1.08/1.18 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_not__add__less2_0,axiom,
% 1.08/1.18 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_nonzero__power__divide_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_inverse__negative__imp__negative_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_of__nat__diff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 1.08/1.18 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_power__less__power__Suc_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_inverse__divide_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__dvd__mono_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a)
% 1.08/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__right__mono__neg_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__left__mono__neg_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__right__mono_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__left__mono_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__mono1_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.08/1.18 | ~ class_Int_Onumber__ring(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_c = V_d
% 1.08/1.18 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom,
% 1.08/1.18 ( 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)
% 1.08/1.18 | V_c = V_d
% 1.08/1.18 | V_r = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs__add__abs_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__diff__conv_0,axiom,
% 1.08/1.18 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__diff__conv_1,axiom,
% 1.08/1.18 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__le__eq_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__le__eq_4,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__divide__eq_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__divide__eq_4,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_Suc__n__not__n_0,axiom,
% 1.08/1.18 c_Suc(V_n) != V_n ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_n__not__Suc__n_0,axiom,
% 1.08/1.18 V_n != c_Suc(V_n) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_inverse__unique_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.18 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 1.08/1.18 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = V_b ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__less__abs__iff_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__imp__less__div__pos_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__imp__div__pos__less_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__less__eq_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__less__eq_6,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__divide__eq_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_less__divide__eq_6,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__neg__pos_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__pos__neg_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__less__0__iff_4,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__less__0__iff_5,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_dvd__power_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__strict__right__mono_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__less__cancel__right_1,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__less__cancel__right_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__strict__left__mono_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__less__cancel__left_1,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__less__cancel__left_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__less__mono1_0,axiom,
% 1.08/1.18 ( 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 1.08/1.18 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 1.08/1.18 ( 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)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_one__le__mult__iff_2,axiom,
% 1.08/1.18 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 1.08/1.18 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 1.08/1.18 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_xt1_I6_J_0,axiom,
% 1.08/1.18 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.18 | c_lessequals(V_z,V_x,T_a)
% 1.08/1.18 | ~ c_lessequals(V_z,V_y,T_a)
% 1.08/1.18 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_xt1_I7_J_0,axiom,
% 1.08/1.18 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 1.08/1.18 | ~ c_lessequals(V_z,V_y,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_xt1_I8_J_0,axiom,
% 1.08/1.18 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 1.08/1.18 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__nonpos__nonpos_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_power__le__dvd_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_m,T_a),V_b,T_a)
% 1.08/1.18 | ~ c_lessequals(V_m,V_n,tc_nat)
% 1.08/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_order__trans_0,axiom,
% 1.08/1.18 ( ~ class_Orderings_Opreorder(T_a)
% 1.08/1.18 | c_lessequals(V_x,V_z,T_a)
% 1.08/1.18 | ~ c_lessequals(V_y,V_z,T_a)
% 1.08/1.18 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__refl_0,axiom,
% 1.08/1.18 c_lessequals(V_n,V_n,tc_nat) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__trans_0,axiom,
% 1.08/1.18 ( c_lessequals(V_i,V_k,tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_j,V_k,tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_eq__imp__le_0,axiom,
% 1.08/1.18 c_lessequals(V_x,V_x,tc_nat) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_order__eq__iff_0,axiom,
% 1.08/1.18 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.18 | c_lessequals(V_x,V_x,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_order__eq__refl_0,axiom,
% 1.08/1.18 ( ~ class_Orderings_Opreorder(T_a)
% 1.08/1.18 | c_lessequals(V_x,V_x,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_order__le__less__trans_0,axiom,
% 1.08/1.18 ( ~ class_Orderings_Opreorder(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 1.08/1.18 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_order__less__le__trans_0,axiom,
% 1.08/1.18 ( ~ class_Orderings_Opreorder(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 1.08/1.18 | ~ c_lessequals(V_y,V_z,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__add__right__mono_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.18 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_c,V_d,T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 1.08/1.18 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OApp(V_dB1,V_dB2) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_inverse__less__1__iff_2,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_min__diff_0,axiom,
% 1.08/1.18 c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_m,V_i,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat),V_i,tc_nat) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_add__is__1_5,axiom,
% 1.08/1.18 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)) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__less__divide__iff_3,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__less__divide__iff_2,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__less__divide__iff_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__less__divide__iff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__nonneg__neg_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__nonpos__pos_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.08/1.18 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__idem_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 1.08/1.18 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mod__mult__self2__is__0_0,axiom,
% 1.08/1.18 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mod__mult__self1__is__0_0,axiom,
% 1.08/1.18 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 1.08/1.18 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 1.08/1.18 | V_nat = V_nat_H ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__strict__mono_H_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__less__Suc__eq_0,axiom,
% 1.08/1.18 ( V_n = V_m
% 1.08/1.18 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_division__ring__inverse__diff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 1.08/1.18 c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 1.08/1.18 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__le__mono1_0,axiom,
% 1.08/1.18 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat)
% 1.08/1.18 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__mono_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | ~ c_lessequals(V_c,V_d,T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mult__mono_H_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | ~ c_lessequals(V_c,V_d,T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_field__inverse_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_left__inverse_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_right__inverse_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_square__eq__iff_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_min__max_Osup__assoc_0,axiom,
% 1.08/1.18 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.18 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_minus__mult__minus_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_min__max_Osup__left__commute_0,axiom,
% 1.08/1.18 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.18 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_diff__minus__eq__add_0,axiom,
% 1.08/1.18 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__less__two_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mod__mult__self1_0,axiom,
% 1.08/1.18 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_mod__mult__self2_0,axiom,
% 1.08/1.18 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_diff__frac__eq_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.18 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.18 | 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_dvd__mult__cancel__left_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.08/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 1.08/1.18 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_dvd__mult__cancel__right_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.08/1.18 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 1.08/1.18 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs__one_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.18 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_of__nat__0__le__iff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__le__imp__of__nat_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_nonzero__inverse__eq__divide_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.18 | 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)
% 1.08/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | ~ 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) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__divide__eq_9,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__divide__eq_3,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_le__divide__eq_2,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__le__eq_9,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.08/1.18 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__le__eq_3,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_divide__le__eq_2,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_abs_0,axiom,
% 1.08/1.18 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t))
% 1.08/1.18 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_min__max_Osup__left__idem_0,axiom,
% 1.08/1.18 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.18 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omax(V_x,V_y,T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__le__mult__iff_0,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__le__mult__iff_1,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__le__mult__iff_2,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 1.08/1.18
% 1.08/1.18 cnf(cls_zero__le__mult__iff_3,axiom,
% 1.08/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.18 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.18 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.18 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_substn_Osimps_I2_J_0,axiom,
% 1.08/1.19 c_Lambda_Osubstn(c_Lambda_OdB_OApp(V_t,V_u),V_s,V_k) = c_Lambda_OdB_OApp(c_Lambda_Osubstn(V_t,V_s,V_k),c_Lambda_Osubstn(V_u,V_s,V_k)) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_diff__add__inverse2_0,axiom,
% 1.08/1.19 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_diff__add__inverse_0,axiom,
% 1.08/1.19 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__diff__cancel_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.19 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_one__le__inverse__iff_2,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.19 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 1.08/1.19 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_power__le__imp__le__exp_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.19 | c_lessequals(V_m,V_n,tc_nat)
% 1.08/1.19 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_power__increasing__iff_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.19 | c_lessequals(V_x,V_y,tc_nat)
% 1.08/1.19 | ~ c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_power__increasing__iff_1,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.19 | c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 1.08/1.19 | ~ c_lessequals(V_x,V_y,tc_nat)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_minus__divide__right_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_minus__divide__left_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__divide__distrib_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_less__1__mult_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.08/1.19 | 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)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_abs__minus__commute_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_minus__minus_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_double__compl_0,axiom,
% 1.08/1.19 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.08/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_equation__minus__iff_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.19 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_equation__minus__iff_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.19 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_minus__equation__iff_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_minus__diff__eq_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__le__less__mono_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.08/1.19 | 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)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.08/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__less__le__mono_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.08/1.19 | 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)
% 1.08/1.19 | ~ c_lessequals(V_c,V_d,T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 1.08/1.19 c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 1.08/1.19 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_Suc__less__eq_0,axiom,
% 1.08/1.19 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_Suc__mono_0,axiom,
% 1.08/1.19 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__gr__0_2,axiom,
% 1.08/1.19 ( 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)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__gr__0_1,axiom,
% 1.08/1.19 ( 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)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.08/1.19 | ~ 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.08/1.19 | 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)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_le__minus__iff_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.19 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 1.08/1.19 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_le__minus__iff_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.19 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 1.08/1.19 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_minus__le__iff_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.19 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 1.08/1.19 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_minus__le__iff_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.19 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 1.08/1.19 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_less__minus__iff_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_less__minus__iff_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_minus__less__iff_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_minus__less__iff_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_lift__subst__lt_0,axiom,
% 1.08/1.19 ( c_Lambda_Olift(c_Lambda_Osubst(V_t,V_s,V_j),V_i) = c_Lambda_Osubst(c_Lambda_Olift(V_t,V_i),c_Lambda_Olift(V_s,V_i),c_HOL_Oplus__class_Oplus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_lift__subst_0,axiom,
% 1.08/1.19 ( c_Lambda_Olift(c_Lambda_Osubst(V_t,V_s,V_j),V_i) = c_Lambda_Osubst(c_Lambda_Olift(V_t,c_HOL_Oplus__class_Oplus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_Lambda_Olift(V_s,V_i),V_j)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_j,c_HOL_Oplus__class_Oplus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_eq__divide__eq_2,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.19 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.19 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_inverse__zero_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.19 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.19 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 1.08/1.19 | V_a = V_b
% 1.08/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_abs__eq__0_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.19 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_minus__zero_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_neg__equal__zero_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 1.08/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.19 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_inverse__zero__imp__zero_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.19 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_power__eq__0__iff_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.08/1.19 | ~ class_Power_Opower(T_a)
% 1.08/1.19 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_field__power__not__zero_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 1.08/1.19 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.19 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_sgn0_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 1.08/1.19 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_sgn__0__0_1,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.19 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__semiring_Omul__0_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__zero__left_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.08/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__zero__right_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.08/1.19 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__eq__0__iff_1,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 1.08/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__eq__0__iff_2,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 1.08/1.19 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.19 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_dvd__0__right_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_one__neq__zero_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.08/1.19 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.08/1.19 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_no__zero__divisors_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.08/1.19 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__eq__0__iff_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 1.08/1.19 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__le__mono2_0,axiom,
% 1.08/1.19 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat)
% 1.08/1.19 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__le__cancel1_2,axiom,
% 1.08/1.19 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 1.08/1.19 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__le__cancel2_2,axiom,
% 1.08/1.19 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat)
% 1.08/1.19 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_zero__less__diff_0,axiom,
% 1.08/1.19 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_zero__less__diff_1,axiom,
% 1.08/1.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_Suc__lessD_0,axiom,
% 1.08/1.19 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_less__SucI_0,axiom,
% 1.08/1.19 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_inverse__eq__iff__eq_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.19 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 1.08/1.19 | V_a = V_b ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.08/1.19 | ~ 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.19 | ~ 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.08/1.19 | ~ 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.19 | ~ 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_Suc__mult__cancel1_0,axiom,
% 1.08/1.19 ( 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)
% 1.08/1.19 | V_m = V_n ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_Suc__pred_0,axiom,
% 1.08/1.19 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_of__nat__add_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_diff__less_0,axiom,
% 1.08/1.19 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_min__max_Odistrib__sup__le_0,axiom,
% 1.08/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.19 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_le__eqI_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.19 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 1.08/1.19 | c_lessequals(V_y_H,V_x_H,T_a)
% 1.08/1.19 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_le__eqI_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.19 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 1.08/1.19 | c_lessequals(V_y,V_x,T_a)
% 1.08/1.19 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_less__eqI_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.19 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_less__eqI_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.19 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_power__mult__distrib_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__semiring_Opwr__mul_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_zmod__simps_I1_J_0,axiom,
% 1.08/1.19 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_zmod__simps_I2_J_0,axiom,
% 1.08/1.19 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_neg__0__less__iff__less_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_neg__0__less__iff__less_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__diff__inverse_0,axiom,
% 1.08/1.19 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_diff__Suc__less_0,axiom,
% 1.08/1.19 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_inf__period_I4_J_1,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Odvd(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 1.08/1.19 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 1.08/1.19 | ~ 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)
% 1.08/1.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_inf__period_I4_J_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Odvd(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 1.08/1.19 | 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)
% 1.08/1.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 1.08/1.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_frac__eq__eq_1,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.19 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)
% 1.08/1.19 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_frac__eq__eq_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.19 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a)
% 1.08/1.19 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__is__1_1,axiom,
% 1.08/1.19 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.08/1.19 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.08/1.19 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__is__1_2,axiom,
% 1.08/1.19 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.08/1.19 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.08/1.19 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_min__max_Osup__inf__distrib2_0,axiom,
% 1.08/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.19 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_x,T_a),c_Orderings_Oord__class_Omax(V_z,V_x,T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_min__max_Osup__inf__distrib1_0,axiom,
% 1.08/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.19 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_power__mult_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_xt1_I11_J_0,axiom,
% 1.08/1.19 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.08/1.19 | V_a = V_b
% 1.08/1.19 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_xt1_I12_J_0,axiom,
% 1.08/1.19 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.08/1.19 | ~ c_lessequals(V_b,V_a,T_a)
% 1.08/1.19 | V_a = V_b ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_nat__less__le_2,axiom,
% 1.08/1.19 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.19 | V_m = V_n
% 1.08/1.19 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_le__eq__less__or__eq_0,axiom,
% 1.08/1.19 ( V_m = V_n
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.19 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_le__neq__implies__less_0,axiom,
% 1.08/1.19 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.08/1.19 | V_m = V_n
% 1.08/1.19 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_order__le__less_0,axiom,
% 1.08/1.19 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.19 | V_x = V_y
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.08/1.19 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_order__less__le_2,axiom,
% 1.08/1.19 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.08/1.19 | V_x = V_y
% 1.08/1.19 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_order__le__neq__trans_0,axiom,
% 1.08/1.19 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.08/1.19 | V_a = V_b
% 1.08/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_order__neq__le__trans_0,axiom,
% 1.08/1.19 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.08/1.19 | ~ c_lessequals(V_a,V_b,T_a)
% 1.08/1.19 | V_a = V_b ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_linorder__antisym__conv1_0,axiom,
% 1.08/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.19 | V_x = V_y
% 1.08/1.19 | ~ c_lessequals(V_x,V_y,T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_linorder__antisym__conv2_0,axiom,
% 1.08/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.19 | V_x = V_y
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.08/1.19 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_divide__right__mono__neg_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.19 | 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)
% 1.08/1.19 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_divide__right__mono_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.19 | 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)
% 1.08/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.08/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_power__inverse_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_inverse__minus__eq_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_sgn__times_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.19 | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Osgn__class_Osgn(V_b,T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.08/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.08/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_zero__le__mult__iff_5,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.08/1.19 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.19 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_zero__le__mult__iff_4,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.08/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_zero__le__square_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.08/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.08/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.08/1.19 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.19 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_split__mult__pos__le_1,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.08/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.08/1.19 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.19 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_split__mult__pos__le_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.08/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.08/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.08/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mod__mult__mult2_0,axiom,
% 1.08/1.19 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mod__mult__mult1_0,axiom,
% 1.08/1.19 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_lift_Osimps_I3_J_0,axiom,
% 1.08/1.19 c_Lambda_Olift(c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Olift(V_s,c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_less__minus__self__iff_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_less__minus__self__iff_1,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_right__inverse__eq_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.19 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 1.08/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_a = V_b ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_abs__ge__zero_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__ring_Oneg__mul_0,axiom,
% 1.08/1.19 ( ~ class_Int_Onumber__ring(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_Suc__le__mono_0,axiom,
% 1.08/1.19 ( c_lessequals(V_n,V_m,tc_nat)
% 1.08/1.19 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_Suc__le__mono_1,axiom,
% 1.08/1.19 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat)
% 1.08/1.19 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_divide__eq__eq_4,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_sgn__1__pos_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.19 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Oone__class_Oone(T_a)
% 1.08/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_sgn__pos_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.19 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_abs__triangle__ineq2_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_nat__1__eq__mult__iff_0,axiom,
% 1.08/1.19 ( c_HOL_Oone__class_Oone(tc_nat) != c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)
% 1.08/1.19 | V_m = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_nat__1__eq__mult__iff_1,axiom,
% 1.08/1.19 ( c_HOL_Oone__class_Oone(tc_nat) != c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)
% 1.08/1.19 | V_n = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_nat__mult__assoc_0,axiom,
% 1.08/1.19 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) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__semiring_Omul__a_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__mult__distrib_0,axiom,
% 1.08/1.19 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) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__mult__distrib2_0,axiom,
% 1.08/1.19 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) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__semiring_Omul__d_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_dvd__if__abs__eq_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.19 | c_HOL_Oabs__class_Oabs(V_l,T_a) != c_HOL_Oabs__class_Oabs(V_k,T_a)
% 1.08/1.19 | c_Ring__and__Field_Odvd__class_Odvd(V_l,V_k,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_minus__add__distrib_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_minus__add_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_frac__less_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.08/1.19 | 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)
% 1.08/1.19 | ~ c_lessequals(V_w,V_z,T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.08/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_xt1_I9_J_0,axiom,
% 1.08/1.19 ( ~ class_Orderings_Oorder(T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 1.08/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_nat__le__linear_0,axiom,
% 1.08/1.19 ( c_lessequals(V_n,V_m,tc_nat)
% 1.08/1.19 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_linorder__linear_0,axiom,
% 1.08/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 1.08/1.19 | c_lessequals(V_y,V_x,T_a)
% 1.08/1.19 | c_lessequals(V_x,V_y,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_order__less__asym_0,axiom,
% 1.08/1.19 ( ~ class_Orderings_Opreorder(T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_order__less__asym_H_0,axiom,
% 1.08/1.19 ( ~ class_Orderings_Opreorder(T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.08/1.19 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_double__eq__0__iff_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.08/1.19 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.08/1.19 | ~ class_Int_Onumber__ring(T_a)
% 1.08/1.19 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_diff__self_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.19 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_diff__0__right_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.19 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_right__minus__eq_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.19 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.08/1.19 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.08/1.19 | ~ class_Int_Onumber__ring(T_a)
% 1.08/1.19 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mod__self_0,axiom,
% 1.08/1.19 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.19 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mod__by__0_0,axiom,
% 1.08/1.19 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.19 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_pprt__0_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.08/1.19 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mod__0_0,axiom,
% 1.08/1.19 ( ~ class_Divides_Osemiring__div(T_a)
% 1.08/1.19 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_double__eq__0__iff_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_abs__eq__0_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.08/1.19 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.19 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 1.08/1.19 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_zero__neq__one_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.08/1.19 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_nonzero__inverse__inverse__eq_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.08/1.19 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_dvd__0__left_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.08/1.19 | ~ class_Int_Onumber__ring(T_a)
% 1.08/1.19 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_x = V_y ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_right__minus__eq_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.08/1.19 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_a = V_b ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.08/1.19 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_a = V_b ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_divide__eq__eq_1,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.19 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_divide__zero_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.19 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_divide__zero__left_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.19 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_divide__self__if_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_sgn__0__0_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.08/1.19 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.08/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.08/1.19 | ~ class_Int_Onumber__ring(T_a)
% 1.08/1.19 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.08/1.19 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__0__left_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.08/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.08/1.19 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.08/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_neg__equal__zero_0,axiom,
% 1.08/1.19 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 1.08/1.19 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_power__0__left_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 1.08/1.19 | ~ class_Power_Opower(T_a)
% 1.08/1.19 | 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) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_nat_Osize_I3_J_0,axiom,
% 1.08/1.19 c_Nat_Osize__class_Osize(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_le__0__eq_1,axiom,
% 1.08/1.19 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__cancel2_1,axiom,
% 1.08/1.19 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) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__cancel1_1,axiom,
% 1.08/1.19 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) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_neq0__conv_1,axiom,
% 1.08/1.19 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_liftn__0_0,axiom,
% 1.08/1.19 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_gr0I_0,axiom,
% 1.08/1.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.08/1.19 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_Suc__neq__Zero_0,axiom,
% 1.08/1.19 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 1.08/1.19 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_diffs0__imp__equal_0,axiom,
% 1.08/1.19 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.08/1.19 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.08/1.19 | V_m = V_n ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_le__0__eq_0,axiom,
% 1.08/1.19 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.08/1.19 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__is__0_2,axiom,
% 1.08/1.19 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__is__0_1,axiom,
% 1.08/1.19 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__is__0_0,axiom,
% 1.08/1.19 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.08/1.19 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.08/1.19 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__is__0_1,axiom,
% 1.08/1.19 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.08/1.19 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__is__0_0,axiom,
% 1.08/1.19 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.08/1.19 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_min__0R_0,axiom,
% 1.08/1.19 c_Orderings_Oord__class_Omin(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_min__0L_0,axiom,
% 1.08/1.19 c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__cancel2_0,axiom,
% 1.08/1.19 ( c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat) != c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat)
% 1.08/1.19 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.08/1.19 | V_m = V_n ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_mult__cancel1_0,axiom,
% 1.08/1.19 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 1.08/1.19 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.08/1.19 | V_m = V_n ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_nat__mult__eq__cancel__disj_0,axiom,
% 1.08/1.19 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 1.08/1.19 | V_m = V_n
% 1.08/1.19 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 1.08/1.19 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_diff__self__eq__0_0,axiom,
% 1.08/1.19 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 1.08/1.19 ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat)
% 1.08/1.19 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__eq__self__zero_0,axiom,
% 1.08/1.19 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m
% 1.08/1.19 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_Zero__neq__Suc_0,axiom,
% 1.08/1.19 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 1.08/1.19 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_nat__gcd_Osimps_0,axiom,
% 1.08/1.19 c_Nitpick_Onat__gcd(V_x,c_HOL_Ozero__class_Ozero(tc_nat)) = V_x ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_nat_Osize_I1_J_0,axiom,
% 1.08/1.19 c_nat_Onat__size(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_char__size_0,axiom,
% 1.08/1.19 c_String_Ochar_Ochar__size(V_c) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_add__is__0_2,axiom,
% 1.08/1.19 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) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_gr__implies__not0_0,axiom,
% 1.08/1.19 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_not__less0_0,axiom,
% 1.08/1.19 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_bot__nat__def_0,axiom,
% 1.08/1.19 c_Orderings_Obot__class_Obot(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_drop__0_0,axiom,
% 1.08/1.19 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_diff__0__eq__0_0,axiom,
% 1.08/1.19 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_le0_0,axiom,
% 1.08/1.19 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_size__char_0,axiom,
% 1.08/1.19 c_Nat_Osize__class_Osize(V_c,tc_String_Ochar) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_replicate__eq__replicate_2,axiom,
% 1.08/1.19 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_max__0R_0,axiom,
% 1.08/1.19 c_Orderings_Oord__class_Omax(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_n ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_max__0L_0,axiom,
% 1.08/1.19 c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_replicate__eq__replicate_1,axiom,
% 1.08/1.19 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 1.08/1.19 | V_x = V_y
% 1.08/1.19 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 1.08/1.19 V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 1.08/1.19 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 1.08/1.19 c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_substn__subst__n_0,axiom,
% 1.08/1.19 c_Lambda_Osubstn(V_t,V_s,V_n) = c_Lambda_Osubst(V_t,c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_n) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_subst__Abs_0,axiom,
% 1.08/1.19 c_Lambda_Osubst(c_Lambda_OdB_OAbs(V_t),V_s,V_k) = c_Lambda_OdB_OAbs(c_Lambda_Osubst(V_t,c_Lambda_Olift(V_s,c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_subst__App_0,axiom,
% 1.08/1.19 c_Lambda_Osubst(c_Lambda_OdB_OApp(V_t,V_u),V_s,V_k) = c_Lambda_OdB_OApp(c_Lambda_Osubst(V_t,V_s,V_k),c_Lambda_Osubst(V_u,V_s,V_k)) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_subst__eq_0,axiom,
% 1.08/1.19 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_subst__preserves__beta_0,axiom,
% 1.08/1.19 ( c_Lambda_Obeta(c_Lambda_Osubst(V_r,V_t,V_i),c_Lambda_Osubst(V_s,V_t,V_i))
% 1.08/1.19 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 1.08/1.19 c_Lambda_Olift(c_Lambda_OdB_OApp(V_s,V_t),V_k) = c_Lambda_OdB_OApp(c_Lambda_Olift(V_s,V_k),c_Lambda_Olift(V_t,V_k)) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_lift__preserves__beta_0,axiom,
% 1.08/1.19 ( c_Lambda_Obeta(c_Lambda_Olift(V_r,V_i),c_Lambda_Olift(V_s,V_i))
% 1.08/1.19 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_Var__IT_0,axiom,
% 1.08/1.19 c_InductTermi_OIT(c_Lambda_OdB_OVar(V_n)) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_Var_I3_J_0,axiom,
% 1.08/1.19 c_InductTermi_OIT(v_ua______) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_Lambda_0,axiom,
% 1.08/1.19 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r))
% 1.08/1.19 | ~ c_InductTermi_OIT(V_r) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_power__eq__0__iff_2,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.08/1.19 | ~ class_Power_Opower(T_a)
% 1.08/1.19 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_power__0__left_1,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 1.08/1.19 | ~ class_Power_Opower(T_a)
% 1.08/1.19 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 1.08/1.19 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_power__eq__0__iff_1,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.08/1.19 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.08/1.19 | ~ class_Power_Opower(T_a)
% 1.08/1.19 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_of__nat__0_0,axiom,
% 1.08/1.19 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 1.08/1.19 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_substn__subst__0_0,axiom,
% 1.08/1.19 c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Osubst(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_subst__Var__IT_0,axiom,
% 1.08/1.19 ( c_InductTermi_OIT(c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j))
% 1.08/1.19 | ~ c_InductTermi_OIT(V_r) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_True_0,axiom,
% 1.08/1.19 v_n____ = v_i____ ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_lift__IT_0,axiom,
% 1.08/1.19 ( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i))
% 1.08/1.19 | ~ c_InductTermi_OIT(V_t) ) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_uIT_0,axiom,
% 1.08/1.19 c_InductTermi_OIT(v_u____) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_subst__lift_0,axiom,
% 1.08/1.19 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_CHAINED_0,axiom,
% 1.08/1.19 c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)) ).
% 1.08/1.19
% 1.08/1.19 cnf(cls_conjecture_0,negated_conjecture,
% 1.08/1.19 ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 1.08/1.19 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 1.08/1.19 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 1.08/1.19 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 1.08/1.19 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 1.08/1.19 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 1.08/1.19 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 1.08/1.19 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 1.08/1.19 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 1.08/1.19 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 1.08/1.19 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 1.08/1.19 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 1.08/1.19 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 1.08/1.19 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 1.08/1.19 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 1.08/1.19 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 1.08/1.19 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 1.08/1.19 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 1.08/1.19 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 1.08/1.19 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 1.08/1.19 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 1.08/1.19 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 1.08/1.19 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 1.08/1.19 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 1.08/1.19 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 1.08/1.19 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 1.08/1.19 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 1.08/1.19 class_Ring__and__Field_Osemiring(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 1.08/1.19 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 1.08/1.19 class_Divides_Osemiring__div(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 1.08/1.19 class_Nat_Osemiring__char__0(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom,
% 1.08/1.19 class_Ring__and__Field_Odvd(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 1.08/1.19 class_Orderings_Opreorder(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 1.08/1.19 class_Orderings_Olinorder(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 1.08/1.19 class_Orderings_Oorder(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Orderings_Obot,axiom,
% 1.08/1.19 class_Orderings_Obot(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 cnf(clsarity_nat__Power_Opower,axiom,
% 1.08/1.19 class_Power_Opower(tc_nat) ).
% 1.08/1.19
% 1.08/1.19 %------------------------------------------------------------------------------
% 1.08/1.19 %-------------------------------------------
% 1.08/1.19 % Proof found
% 1.08/1.19 % SZS status Theorem for theBenchmark
% 1.08/1.19 % SZS output start Proof
% 1.08/1.19 %ClaNum:1378(EqnAxiom:142)
% 1.08/1.19 %VarNum:9297(SingletonVarNum:2976)
% 1.08/1.19 %MaxLitNum:6
% 1.08/1.19 %MaxfuncDepth:4
% 1.08/1.19 %SharedTerms:72
% 1.08/1.19 %goalClause: 309
% 1.08/1.19 %singleGoalClaCount:1
% 1.08/1.19 [143]E(a1,a33)
% 1.08/1.19 [144]P1(a2)
% 1.08/1.19 [145]P8(a2)
% 1.08/1.19 [146]P9(a2)
% 1.08/1.19 [147]P58(a2)
% 1.08/1.19 [148]P10(a2)
% 1.08/1.19 [149]P11(a2)
% 1.08/1.19 [150]P12(a2)
% 1.08/1.19 [151]P13(a2)
% 1.08/1.19 [152]P14(a2)
% 1.08/1.19 [153]P38(a2)
% 1.08/1.19 [154]P15(a2)
% 1.08/1.19 [155]P57(a2)
% 1.08/1.19 [156]P24(a2)
% 1.08/1.19 [157]P25(a2)
% 1.08/1.19 [158]P43(a2)
% 1.08/1.19 [159]P30(a2)
% 1.08/1.19 [160]P34(a2)
% 1.08/1.19 [161]P36(a2)
% 1.08/1.19 [162]P37(a2)
% 1.08/1.19 [163]P68(a2)
% 1.08/1.19 [164]P18(a2)
% 1.08/1.19 [165]P35(a2)
% 1.08/1.19 [166]P59(a2)
% 1.08/1.19 [167]P60(a2)
% 1.08/1.19 [168]P20(a2)
% 1.08/1.19 [169]P23(a2)
% 1.08/1.19 [170]P46(a2)
% 1.08/1.19 [171]P2(a34)
% 1.08/1.19 [172]P2(a35)
% 1.08/1.19 [173]P47(a2)
% 1.08/1.19 [174]P51(a2)
% 1.08/1.19 [175]P61(a2)
% 1.08/1.19 [176]P69(a2)
% 1.08/1.19 [177]P52(a2)
% 1.08/1.19 [178]P53(a2)
% 1.08/1.19 [179]P21(a2)
% 1.08/1.19 [180]P39(a2)
% 1.08/1.19 [181]P26(a2)
% 1.08/1.19 [182]E(f3(a2),f14(a2))
% 1.08/1.19 [215]P2(f22(a32,a35,a1))
% 1.08/1.19 [183]E(f27(f3(a2)),f3(a2))
% 1.08/1.19 [309]~P2(f20(f22(a32,a35,a1),f3(a2)))
% 1.08/1.19 [268]E(f11(f9(f3(a2),f10(a2),a2),f9(f3(a2),f10(a2),a2),a2),f9(f3(a2),f10(a2),a2))
% 1.08/1.19 [190]P4(x1901,x1901,a2)
% 1.08/1.19 [296]~P3(x2961,x2961,a2)
% 1.08/1.19 [184]P2(f15(x1841))
% 1.08/1.19 [185]E(f18(x1851,a2),x1851)
% 1.08/1.19 [186]E(f18(x1861,a31),f3(a2))
% 1.08/1.19 [191]E(f4(x1911,x1911,a2),f3(a2))
% 1.08/1.19 [192]P4(f3(a2),x1921,a2)
% 1.08/1.19 [223]P4(x2231,f11(x2231,x2231,a2),a2)
% 1.08/1.19 [298]~P3(x2981,f3(a2),a2)
% 1.08/1.19 [187]E(f25(x1871,f3(a2)),x1871)
% 1.08/1.19 [194]E(f11(x1941,f10(a2),a2),x1941)
% 1.08/1.19 [195]E(f9(x1951,f3(a2),a2),x1951)
% 1.08/1.19 [196]E(f4(x1961,f3(a2),a2),x1961)
% 1.08/1.19 [197]E(f28(x1971,f3(a2),a2),x1971)
% 1.08/1.19 [198]E(f11(f10(a2),x1981,a2),x1981)
% 1.08/1.19 [199]E(f9(f3(a2),x1991,a2),x1991)
% 1.08/1.19 [200]E(f28(f3(a2),x2001,a2),x2001)
% 1.08/1.19 [203]E(f11(x2031,f3(a2),a2),f3(a2))
% 1.08/1.19 [204]E(f29(x2041,f3(a2),a2),f3(a2))
% 1.08/1.19 [205]E(f11(f3(a2),x2051,a2),f3(a2))
% 1.08/1.19 [206]E(f4(f3(a2),x2061,a2),f3(a2))
% 1.08/1.19 [207]E(f29(f3(a2),x2071,a2),f3(a2))
% 1.08/1.19 [232]P3(x2321,f9(x2321,f10(a2),a2),a2)
% 1.08/1.19 [235]P3(f3(a2),f9(x2351,f10(a2),a2),a2)
% 1.08/1.19 [269]P4(x2691,f11(x2691,f11(x2691,x2691,a2),a2),a2)
% 1.08/1.19 [300]~E(f9(x3001,f10(a2),a2),x3001)
% 1.08/1.19 [304]~E(f9(x3041,f10(a2),a2),f3(a2))
% 1.08/1.19 [308]~P4(f9(x3081,f10(a2),a2),x3081,a2)
% 1.08/1.19 [248]E(f9(f27(x2481),f9(f3(a2),f10(a2),a2),a2),f27(f9(x2481,f10(a2),a2)))
% 1.08/1.19 [258]E(f9(f18(x2581,a2),f9(f3(a2),f10(a2),a2),a2),f18(f9(x2581,f10(a2),a2),a2))
% 1.08/1.19 [216]E(f11(x2161,x2162,a2),f11(x2162,x2161,a2))
% 1.08/1.19 [217]E(f9(x2171,x2172,a2),f9(x2172,x2171,a2))
% 1.08/1.19 [224]P4(x2241,f9(x2242,x2241,a2),a2)
% 1.08/1.19 [226]P4(x2261,f9(x2261,x2262,a2),a2)
% 1.08/1.19 [227]P4(f4(x2271,x2272,a2),x2271,a2)
% 1.08/1.19 [289]~E(f15(x2891),f17(x2892))
% 1.08/1.19 [294]~P5(f15(x2941),x2942)
% 1.08/1.19 [306]~P3(f9(x3061,x3062,a2),x3062,a2)
% 1.08/1.19 [307]~P3(f9(x3071,x3072,a2),x3071,a2)
% 1.08/1.19 [201]E(f19(f3(a2),x2011,x2012),x2011)
% 1.08/1.19 [202]E(f21(f3(a2),x2021,x2022),x2021)
% 1.08/1.19 [209]E(f22(f15(x2091),x2092,x2091),x2092)
% 1.08/1.19 [219]E(f11(x2191,f3(a2),a2),f11(x2192,f3(a2),a2))
% 1.08/1.19 [221]E(f11(f3(a2),x2211,a2),f11(f3(a2),x2212,a2))
% 1.08/1.19 [228]E(f4(f9(x2281,x2282,a2),x2282,a2),x2281)
% 1.08/1.19 [229]E(f4(f9(x2291,x2292,a2),x2291,a2),x2292)
% 1.08/1.19 [230]E(f4(x2301,f9(x2301,x2302,a2),a2),f3(a2))
% 1.08/1.19 [233]P5(f16(f17(x2331),x2332),f22(x2331,x2332,f3(a2)))
% 1.08/1.19 [238]E(f9(f4(x2381,x2382,a2),x2382,a2),f28(x2381,x2382,a2))
% 1.08/1.19 [243]E(f22(x2431,f19(f3(a2),x2432,f3(a2)),f3(a2)),f22(x2431,x2432,f3(a2)))
% 1.08/1.19 [244]P3(f4(x2441,x2442,a2),f9(x2441,f10(a2),a2),a2)
% 1.08/1.19 [270]P3(x2701,f9(f9(x2702,x2701,a2),f10(a2),a2),a2)
% 1.08/1.19 [272]P3(x2721,f9(f9(x2721,x2722,a2),f10(a2),a2),a2)
% 1.08/1.19 [261]E(f11(x2611,f9(x2612,f10(a2),a2),a2),f9(x2611,f11(x2611,x2612,a2),a2))
% 1.08/1.19 [262]E(f11(f9(x2621,f10(a2),a2),x2622,a2),f9(x2622,f11(x2621,x2622,a2),a2))
% 1.08/1.19 [264]E(f9(f9(x2641,f10(a2),a2),x2642,a2),f9(f9(x2641,x2642,a2),f10(a2),a2))
% 1.08/1.19 [265]E(f4(f4(x2651,f10(a2),a2),x2652,a2),f4(x2651,f9(x2652,f10(a2),a2),a2))
% 1.08/1.19 [266]E(f9(f9(x2661,f10(a2),a2),x2662,a2),f9(x2661,f9(x2662,f10(a2),a2),a2))
% 1.08/1.19 [279]E(f28(f9(x2791,f10(a2),a2),f9(x2792,f10(a2),a2),a2),f9(f28(x2791,x2792,a2),f10(a2),a2))
% 1.08/1.19 [280]E(f29(f9(x2801,f10(a2),a2),f9(x2802,f10(a2),a2),a2),f9(f29(x2801,x2802,a2),f10(a2),a2))
% 1.08/1.19 [245]E(f17(f20(x2451,f9(x2452,f10(a2),a2))),f20(f17(x2451),x2452))
% 1.08/1.19 [290]~E(f17(x2901),f16(x2902,x2903))
% 1.08/1.19 [291]~E(f15(x2911),f16(x2912,x2913))
% 1.08/1.19 [292]~E(f16(x2921,x2922),f17(x2923))
% 1.08/1.19 [293]~E(f16(x2931,x2932),f15(x2933))
% 1.08/1.19 [214]E(f22(f20(x2141,x2142),x2143,x2142),x2141)
% 1.08/1.19 [218]E(f16(f20(x2181,x2182),f20(x2183,x2182)),f20(f16(x2181,x2183),x2182))
% 1.08/1.19 [222]E(f23(f3(a2),x2221,x2222),f23(f3(a2),x2223,x2222))
% 1.08/1.19 [251]E(f9(x2511,f9(x2512,x2513,a2),a2),f9(x2512,f9(x2511,x2513,a2),a2))
% 1.08/1.19 [252]E(f11(f11(x2521,x2522,a2),x2523,a2),f11(x2521,f11(x2522,x2523,a2),a2))
% 1.08/1.19 [253]E(f9(f9(x2531,x2532,a2),x2533,a2),f9(x2531,f9(x2532,x2533,a2),a2))
% 1.08/1.19 [254]E(f4(f4(x2541,x2542,a2),x2543,a2),f4(x2541,f9(x2542,x2543,a2),a2))
% 1.08/1.19 [255]E(f4(f4(x2551,x2552,a2),x2553,a2),f4(f4(x2551,x2553,a2),x2552,a2))
% 1.08/1.19 [256]E(f4(f9(x2561,x2562,a2),f9(x2563,x2562,a2),a2),f4(x2561,x2563,a2))
% 1.08/1.19 [257]E(f4(f9(x2571,x2572,a2),f9(x2571,x2573,a2),a2),f4(x2572,x2573,a2))
% 1.08/1.19 [274]E(f9(f11(x2741,x2742,a2),f11(x2741,x2743,a2),a2),f11(x2741,f9(x2742,x2743,a2),a2))
% 1.08/1.19 [275]E(f4(f11(x2751,x2752,a2),f11(x2751,x2753,a2),a2),f11(x2751,f4(x2752,x2753,a2),a2))
% 1.08/1.19 [276]E(f9(f11(x2761,x2762,a2),f11(x2763,x2762,a2),a2),f11(f9(x2761,x2763,a2),x2762,a2))
% 1.08/1.19 [277]E(f4(f11(x2771,x2772,a2),f11(x2773,x2772,a2),a2),f11(f4(x2771,x2773,a2),x2772,a2))
% 1.08/1.19 [278]E(f29(f4(x2781,x2782,a2),f4(x2783,x2782,a2),a2),f4(f29(x2781,x2783,a2),x2782,a2))
% 1.08/1.19 [247]E(f19(f9(x2471,f10(a2),a2),x2472,x2473),f20(f19(x2471,x2472,x2473),x2473))
% 1.08/1.19 [284]E(f4(f4(f9(x2841,f10(a2),a2),x2842,a2),f9(x2843,f10(a2),a2),a2),f4(f4(x2841,x2842,a2),x2843,a2))
% 1.08/1.19 [273]E(f17(f19(x2731,x2732,f9(x2733,f10(a2),a2))),f19(x2731,f17(x2732),x2733))
% 1.08/1.19 [281]E(f17(f22(x2811,f20(x2812,f3(a2)),f9(x2813,f10(a2),a2))),f22(f17(x2811),x2812,x2813))
% 1.08/1.19 [287]E(f17(f22(x2871,f19(f9(x2872,f10(a2),a2),x2873,f3(a2)),f9(x2872,f10(a2),a2))),f22(f17(x2871),f19(x2872,x2873,f3(a2)),x2872))
% 1.08/1.19 [249]E(f16(f19(x2491,x2492,x2493),f19(x2491,x2494,x2493)),f19(x2491,f16(x2492,x2494),x2493))
% 1.08/1.19 [250]E(f16(f22(x2501,x2502,x2503),f22(x2504,x2502,x2503)),f22(f16(x2501,x2504),x2502,x2503))
% 1.08/1.19 [259]E(f21(x2591,f23(x2592,x2593,x2594),x2594),f23(f4(x2592,x2591,a2),x2593,x2594))
% 1.08/1.19 [260]E(f21(x2601,f21(x2602,x2603,x2604),x2604),f21(f9(x2601,x2602,a2),x2603,x2604))
% 1.08/1.19 [285]E(f9(f11(x2851,x2852,a2),f9(f11(x2853,x2852,a2),x2854,a2),a2),f9(f11(f9(x2851,x2853,a2),x2852,a2),x2854,a2))
% 1.08/1.19 [312]~P2(x3121)+P2(f17(x3121))
% 1.08/1.19 [314]~P69(x3141)+~E(f10(x3141),f3(x3141))
% 1.08/1.19 [352]E(x3521,f3(a2))+P3(f3(a2),x3521,a2)
% 1.08/1.19 [406]~P9(x4061)+P4(f3(x4061),f10(x4061),x4061)
% 1.08/1.19 [407]~P9(x4071)+P3(f3(x4071),f10(x4071),x4071)
% 1.08/1.19 [440]E(x4401,f3(a2))+~P4(x4401,f3(a2),a2)
% 1.08/1.19 [480]~P9(x4801)+~P4(f10(x4801),f3(x4801),x4801)
% 1.08/1.19 [481]~P9(x4811)+~P3(f10(x4811),f3(x4811),x4811)
% 1.08/1.19 [315]~P68(x3151)+E(f24(f3(a2),x3151),f3(x3151))
% 1.08/1.19 [316]~P68(x3161)+E(f24(f10(a2),x3161),f10(x3161))
% 1.08/1.19 [318]~P44(x3181)+E(f5(f3(x3181),x3181),f3(x3181))
% 1.08/1.19 [319]~P45(x3191)+E(f5(f10(x3191),x3191),f10(x3191))
% 1.08/1.19 [320]~P31(x3201)+E(f6(f3(x3201),x3201),f3(x3201))
% 1.08/1.19 [321]~P54(x3211)+E(f6(f10(x3211),x3211),f10(x3211))
% 1.08/1.19 [322]~P32(x3221)+E(f13(f3(x3221),x3221),f3(x3221))
% 1.08/1.19 [323]~P27(x3231)+E(f13(f3(x3231),x3231),f3(x3231))
% 1.08/1.19 [324]~P28(x3241)+E(f26(f3(x3241),x3241),f3(x3241))
% 1.08/1.19 [325]~P54(x3251)+E(f12(f3(x3251),x3251),f3(x3251))
% 1.08/1.19 [326]~P70(x3261)+E(f12(f3(x3261),x3261),f3(x3261))
% 1.08/1.19 [409]~P28(x4091)+E(f9(f3(x4091),f3(x4091),x4091),f3(x4091))
% 1.08/1.19 [466]~P31(x4661)+P4(f6(f3(x4661),x4661),f3(x4661),x4661)
% 1.08/1.19 [560]~P31(x5601)+~P3(f3(x5601),f6(f3(x5601),x5601),x5601)
% 1.08/1.19 [669]~P9(x6691)+P3(f3(x6691),f9(f10(x6691),f10(x6691),x6691),x6691)
% 1.08/1.19 [797]~P3(f3(a2),x7971,a2)+E(f9(f4(x7971,f10(a2),a2),f10(a2),a2),x7971)
% 1.08/1.19 [804]E(x8041,f3(a2))+~P3(x8041,f9(f3(a2),f10(a2),a2),a2)
% 1.08/1.19 [1176]~P3(f3(a2),x11761,a2)+E(f9(f4(x11761,f9(f3(a2),f10(a2),a2),a2),f10(a2),a2),x11761)
% 1.08/1.19 [890]~P56(x8901)+E(f9(f11(f3(x8901),f3(x8901),x8901),f11(f3(x8901),f3(x8901),x8901),x8901),f3(x8901))
% 1.08/1.19 [1306]~P56(x13061)+P4(f9(f11(f3(x13061),f3(x13061),x13061),f11(f3(x13061),f3(x13061),x13061),x13061),f3(x13061),x13061)
% 1.08/1.19 [1352]~P56(x13521)+~P3(f3(x13521),f9(f11(f3(x13521),f3(x13521),x13521),f11(f3(x13521),f3(x13521),x13521),x13521),x13521)
% 1.08/1.19 [358]~P36(x3582)+P4(x3581,x3581,x3582)
% 1.08/1.19 [359]~P37(x3592)+P4(x3591,x3591,x3592)
% 1.08/1.19 [360]~P38(x3602)+P6(x3601,x3601,x3602)
% 1.08/1.19 [444]~P3(x4442,x4442,x4441)+~P11(x4441)
% 1.08/1.19 [445]~P3(x4452,x4452,x4451)+~P36(x4451)
% 1.08/1.19 [446]~P3(x4462,x4462,x4461)+~P37(x4461)
% 1.08/1.19 [468]P4(x4682,x4681,a2)+P4(x4681,x4682,a2)
% 1.08/1.19 [521]~P3(x5211,x5212,a2)+P4(x5211,x5212,a2)
% 1.08/1.19 [310]E(x3101,x3102)+~E(f17(x3101),f17(x3102))
% 1.08/1.19 [311]E(x3111,x3112)+~E(f15(x3111),f15(x3112))
% 1.08/1.19 [328]~P2(x3281)+P2(f20(x3281,x3282))
% 1.08/1.19 [345]~P5(x3451,x3452)+P5(f17(x3451),f17(x3452))
% 1.08/1.19 [361]~P22(x3612)+E(f11(x3611,x3611,x3612),x3611)
% 1.08/1.19 [362]~P11(x3622)+E(f28(x3621,x3621,x3622),x3621)
% 1.08/1.19 [363]~P11(x3632)+E(f29(x3631,x3631,x3632),x3631)
% 1.08/1.19 [365]~P1(x3652)+E(f7(x3651,x3651,x3652),f3(x3652))
% 1.08/1.19 [367]~P27(x3672)+E(f4(x3671,x3671,x3672),f3(x3672))
% 1.08/1.19 [368]~P19(x3682)+E(f4(x3681,x3681,x3682),f3(x3682))
% 1.08/1.19 [371]~P38(x3712)+P6(x3711,f3(x3712),x3712)
% 1.08/1.19 [372]~P12(x3721)+P4(f14(x3721),x3722,x3721)
% 1.08/1.19 [373]~P38(x3731)+P6(f10(x3731),x3732,x3731)
% 1.08/1.19 [421]~P31(x4212)+P4(x4211,f6(x4211,x4212),x4212)
% 1.08/1.19 [423]~E(f9(x4232,x4231,a2),x4232)+E(x4231,f3(a2))
% 1.08/1.19 [431]E(x4311,f3(a2))+~E(f9(x4312,x4311,a2),f3(a2))
% 1.08/1.19 [432]E(x4321,f10(a2))+~E(f11(x4322,x4321,a2),f10(a2))
% 1.08/1.19 [433]E(x4331,f3(a2))+~E(f9(x4331,x4332,a2),f3(a2))
% 1.08/1.19 [434]E(x4341,f10(a2))+~E(f11(x4341,x4342,a2),f10(a2))
% 1.08/1.19 [447]~P31(x4471)+P4(f3(x4471),f6(x4472,x4471),x4471)
% 1.08/1.19 [448]~P28(x4481)+P4(f3(x4481),f26(x4482,x4481),x4481)
% 1.08/1.19 [450]~P9(x4501)+P4(f3(x4501),f24(x4502,x4501),x4501)
% 1.08/1.19 [482]~P31(x4822)+P4(f13(x4821,x4822),f6(x4821,x4822),x4822)
% 1.08/1.19 [524]~P4(x5241,x5242,a2)+E(f4(x5241,x5242,a2),f3(a2))
% 1.08/1.19 [528]P4(x5281,x5282,a2)+~E(f4(x5281,x5282,a2),f3(a2))
% 1.08/1.19 [535]~P31(x5351)+~P3(f6(x5352,x5351),f3(x5351),x5351)
% 1.08/1.19 [536]~P9(x5361)+~P3(f24(x5362,x5361),f3(x5361),x5361)
% 1.08/1.19 [591]~P56(x5911)+P4(f3(x5911),f11(x5912,x5912,x5911),x5911)
% 1.08/1.19 [765]~P3(x7652,x7651,a2)+P3(f3(a2),f4(x7651,x7652,a2),a2)
% 1.08/1.19 [813]~P56(x8131)+~P3(f11(x8132,x8132,x8131),f3(x8131),x8131)
% 1.08/1.19 [848]P3(x8481,x8482,a2)+~P3(f3(a2),f4(x8482,x8481,a2),a2)
% 1.08/1.19 [849]P3(f3(a2),x8491,a2)+~P3(f3(a2),f11(x8492,x8491,a2),a2)
% 1.08/1.19 [850]P3(f3(a2),x8501,a2)+~P3(f3(a2),f11(x8501,x8502,a2),a2)
% 1.08/1.19 [341]~P27(x3412)+E(f13(f13(x3411,x3412),x3412),x3411)
% 1.08/1.19 [342]~P16(x3422)+E(f13(f13(x3421,x3422),x3422),x3421)
% 1.08/1.19 [346]~P2(x3461)+P2(f16(x3461,f15(x3462)))
% 1.08/1.19 [354]~P31(x3542)+E(f6(f6(x3541,x3542),x3542),f6(x3541,x3542))
% 1.08/1.19 [355]~P31(x3552)+E(f6(f13(x3551,x3552),x3552),f6(x3551,x3552))
% 1.08/1.19 [356]~P54(x3562)+E(f6(f24(x3561,x3562),x3562),f24(x3561,x3562))
% 1.08/1.19 [357]~P54(x3572)+E(f12(f12(x3571,x3572),x3572),f12(x3571,x3572))
% 1.08/1.19 [369]~P38(x3692)+E(f30(x3691,f10(a2),x3692),x3691)
% 1.08/1.19 [370]~P25(x3702)+E(f30(x3701,f10(a2),x3702),x3701)
% 1.08/1.19 [374]~P48(x3742)+E(f8(x3741,f10(x3742),x3742),x3741)
% 1.08/1.19 [375]~P38(x3752)+E(f11(x3751,f10(x3752),x3752),x3751)
% 1.08/1.19 [376]~P25(x3762)+E(f11(x3761,f10(x3762),x3762),x3761)
% 1.08/1.19 [377]~P1(x3772)+E(f7(x3771,f3(x3772),x3772),x3771)
% 1.08/1.19 [378]~P14(x3782)+E(f9(x3781,f3(x3782),x3782),x3781)
% 1.08/1.19 [379]~P38(x3792)+E(f9(x3791,f3(x3792),x3792),x3791)
% 1.08/1.19 [380]~P26(x3802)+E(f9(x3801,f3(x3802),x3802),x3801)
% 1.08/1.19 [381]~P27(x3812)+E(f4(x3811,f3(x3812),x3812),x3811)
% 1.08/1.19 [383]~P38(x3831)+E(f11(f10(x3831),x3832,x3831),x3832)
% 1.08/1.19 [384]~P24(x3841)+E(f11(f10(x3841),x3842,x3841),x3842)
% 1.08/1.19 [385]~P25(x3851)+E(f11(f10(x3851),x3852,x3851),x3852)
% 1.08/1.19 [386]~P14(x3861)+E(f9(f3(x3861),x3862,x3861),x3862)
% 1.08/1.19 [388]~P38(x3881)+E(f9(f3(x3881),x3882,x3881),x3882)
% 1.08/1.19 [389]~P26(x3891)+E(f9(f3(x3891),x3892,x3891),x3892)
% 1.08/1.19 [390]~P10(x3902)+E(f30(x3901,f3(a2),x3902),f10(x3902))
% 1.08/1.19 [391]~P38(x3912)+E(f30(x3911,f3(a2),x3912),f10(x3912))
% 1.08/1.19 [394]~P38(x3942)+E(f11(x3941,f3(x3942),x3942),f3(x3942))
% 1.08/1.19 [395]~P53(x3952)+E(f11(x3951,f3(x3952),x3952),f3(x3952))
% 1.08/1.19 [396]~P64(x3962)+E(f11(x3961,f3(x3962),x3962),f3(x3962))
% 1.08/1.19 [397]~P1(x3972)+E(f7(x3971,f10(x3972),x3972),f3(x3972))
% 1.08/1.19 [398]~P48(x3981)+E(f8(f3(x3981),x3982,x3981),f3(x3981))
% 1.08/1.19 [400]~P38(x4001)+E(f11(f3(x4001),x4002,x4001),f3(x4001))
% 1.08/1.19 [401]~P53(x4011)+E(f11(f3(x4011),x4012,x4011),f3(x4011))
% 1.08/1.19 [402]~P64(x4021)+E(f11(f3(x4021),x4022,x4021),f3(x4021))
% 1.08/1.19 [403]~P1(x4031)+E(f7(f3(x4031),x4032,x4031),f3(x4031))
% 1.08/1.19 [404]~P25(x4041)+E(f30(f10(x4041),x4042,x4041),f10(x4041))
% 1.08/1.19 [414]~P48(x4141)+E(f8(f10(x4141),x4142,x4141),f5(x4142,x4141))
% 1.08/1.19 [415]~P27(x4151)+E(f4(f3(x4151),x4152,x4151),f13(x4152,x4151))
% 1.08/1.19 [435]~P27(x4352)+E(f9(x4351,f13(x4351,x4352),x4352),f3(x4352))
% 1.08/1.19 [437]~P27(x4372)+E(f9(f13(x4371,x4372),x4371,x4372),f3(x4372))
% 1.08/1.19 [438]~P19(x4382)+E(f9(f13(x4381,x4382),x4381,x4382),f3(x4382))
% 1.08/1.19 [461]~P54(x4612)+E(f11(x4611,f12(x4611,x4612),x4612),f6(x4611,x4612))
% 1.08/1.19 [472]~P3(x4721,x4722,a2)+E(f20(f15(x4721),x4722),f15(x4721))
% 1.08/1.19 [484]~P54(x4842)+E(f11(f12(x4841,x4842),f6(x4841,x4842),x4842),x4841)
% 1.08/1.19 [537]~P31(x5372)+P4(f13(f6(x5371,x5372),x5372),f3(x5372),x5372)
% 1.08/1.19 [562]~P54(x5622)+E(f11(f6(x5621,x5622),f6(x5621,x5622),x5622),f11(x5621,x5621,x5622))
% 1.08/1.19 [564]~P49(x5642)+E(f11(f13(x5641,x5642),f13(x5641,x5642),x5642),f11(x5641,x5641,x5642))
% 1.08/1.20 [612]~P9(x6122)+P3(x6121,f9(x6121,f10(x6122),x6122),x6122)
% 1.08/1.20 [686]P3(x6862,x6861,a2)+E(f9(x6861,f4(x6862,x6861,a2),a2),x6862)
% 1.08/1.20 [709]P3(x7091,x7092,a2)+P3(x7092,f9(x7091,f10(a2),a2),a2)
% 1.08/1.20 [711]P4(x7111,x7112,a2)+P4(f9(x7112,f10(a2),a2),x7111,a2)
% 1.08/1.20 [743]E(x7431,f9(f3(a2),f10(a2),a2))+~E(f11(x7432,x7431,a2),f9(f3(a2),f10(a2),a2))
% 1.08/1.20 [744]E(x7441,f9(f3(a2),f10(a2),a2))+~E(f11(x7441,x7442,a2),f9(f3(a2),f10(a2),a2))
% 1.08/1.20 [762]~P4(x7621,x7622,a2)+E(f9(x7621,f4(x7622,x7621,a2),a2),x7622)
% 1.08/1.20 [763]~P4(x7632,x7631,a2)+E(f4(x7631,f4(x7631,x7632,a2),a2),x7632)
% 1.08/1.20 [764]~P4(x7642,x7641,a2)+E(f9(f4(x7641,x7642,a2),x7642,a2),x7641)
% 1.08/1.20 [768]~P4(x7681,x7682,a2)+P3(x7681,f9(x7682,f10(a2),a2),a2)
% 1.08/1.20 [772]~P3(x7721,x7722,a2)+P4(f9(x7721,f10(a2),a2),x7722,a2)
% 1.08/1.20 [852]P4(x8521,x8522,a2)+~P3(x8521,f9(x8522,f10(a2),a2),a2)
% 1.08/1.20 [855]P3(x8551,x8552,a2)+~P4(f9(x8551,f10(a2),a2),x8552,a2)
% 1.08/1.20 [930]~P3(x9301,x9302,a2)+~P3(x9302,f9(x9301,f10(a2),a2),a2)
% 1.08/1.20 [931]~P4(x9311,x9312,a2)+~P4(f9(x9312,f10(a2),a2),x9311,a2)
% 1.08/1.20 [1100]E(x11001,f3(a2))+E(f9(f9(f4(x11001,f10(a2),a2),x11002,a2),f10(a2),a2),f9(x11001,x11002,a2))
% 1.08/1.20 [1177]P4(x11771,x11772,a2)+~P4(f9(x11771,f10(a2),a2),f9(x11772,f10(a2),a2),a2)
% 1.08/1.20 [1178]P3(x11781,x11782,a2)+~P3(f9(x11781,f10(a2),a2),f9(x11782,f10(a2),a2),a2)
% 1.08/1.20 [1281]P4(f9(f3(a2),f10(a2),a2),x12811,a2)+~P4(f9(f3(a2),f10(a2),a2),f11(x12812,x12811,a2),a2)
% 1.08/1.20 [1282]P4(f9(f3(a2),f10(a2),a2),x12821,a2)+~P4(f9(f3(a2),f10(a2),a2),f11(x12821,x12822,a2),a2)
% 1.08/1.20 [483]~P17(x4831)+E(f11(f13(f10(x4831),x4831),x4832,x4831),f13(x4832,x4831))
% 1.08/1.20 [631]P3(x6311,x6312,a2)+E(f20(f15(x6311),x6312),f15(f9(x6311,f10(a2),a2)))
% 1.08/1.20 [712]~P68(x7121)+E(f9(f10(x7121),f24(x7122,x7121),x7121),f24(f9(x7122,f10(a2),a2),x7121))
% 1.08/1.20 [773]~P38(x7732)+E(f9(x7731,x7731,x7732),f11(f9(f10(x7732),f10(x7732),x7732),x7731,x7732))
% 1.08/1.20 [1171]~P3(f3(a2),x11711,a2)+P3(f4(x11711,f9(x11712,f10(a2),a2),a2),x11711,a2)
% 1.08/1.20 [1091]E(x10911,f3(a2))+E(f9(x10912,f11(f4(x10911,f10(a2),a2),x10912,a2),a2),f11(x10911,x10912,a2))
% 1.08/1.20 [424]~P5(x4241,x4243)+P5(f20(x4241,x4242),f20(x4243,x4242))
% 1.08/1.20 [425]~P5(x4251,x4253)+P5(f16(x4251,x4252),f16(x4253,x4252))
% 1.08/1.20 [426]~P5(x4262,x4263)+P5(f16(x4261,x4262),f16(x4261,x4263))
% 1.08/1.20 [490]~P38(x4903)+E(f11(x4901,x4902,x4903),f11(x4902,x4901,x4903))
% 1.08/1.20 [491]~P14(x4913)+E(f9(x4911,x4912,x4913),f9(x4912,x4911,x4913))
% 1.08/1.20 [493]~P38(x4933)+E(f9(x4931,x4932,x4933),f9(x4932,x4931,x4933))
% 1.08/1.20 [494]~P11(x4943)+E(f28(x4941,x4942,x4943),f28(x4942,x4941,x4943))
% 1.08/1.20 [495]~P11(x4953)+E(f29(x4951,x4952,x4953),f29(x4952,x4951,x4953))
% 1.08/1.20 [566]E(x5661,x5662)+~E(f9(x5663,x5661,a2),f9(x5663,x5662,a2))
% 1.08/1.20 [567]E(x5671,x5672)+~E(f9(x5671,x5673,a2),f9(x5672,x5673,a2))
% 1.08/1.20 [568]~P11(x5683)+P4(x5681,f28(x5682,x5681,x5683),x5683)
% 1.08/1.20 [569]~P11(x5693)+P4(x5691,f28(x5691,x5692,x5693),x5693)
% 1.08/1.20 [570]~P38(x5703)+P6(x5701,f11(x5702,x5701,x5703),x5703)
% 1.08/1.20 [571]~P38(x5713)+P6(x5711,f11(x5711,x5712,x5713),x5713)
% 1.08/1.20 [572]~P43(x5723)+P6(x5721,f11(x5721,x5722,x5723),x5723)
% 1.08/1.20 [573]~P11(x5733)+P4(f29(x5731,x5732,x5733),x5732,x5733)
% 1.08/1.20 [574]~P11(x5743)+P4(f29(x5741,x5742,x5743),x5741,x5743)
% 1.08/1.20 [751]~P4(x7511,x7513,a2)+P4(x7511,f9(x7512,x7513,a2),a2)
% 1.08/1.20 [753]~P4(x7531,x7532,a2)+P4(x7531,f9(x7532,x7533,a2),a2)
% 1.08/1.20 [755]~P3(x7551,x7553,a2)+P3(x7551,f9(x7552,x7553,a2),a2)
% 1.08/1.20 [757]~P3(x7571,x7572,a2)+P3(x7571,f9(x7572,x7573,a2),a2)
% 1.08/1.20 [758]~P3(x7581,x7583,a2)+P3(f4(x7581,x7582,a2),x7583,a2)
% 1.08/1.20 [837]P4(x8371,x8372,a2)+~P4(f9(x8373,x8371,a2),x8372,a2)
% 1.08/1.20 [838]P4(x8381,x8382,a2)+~P4(f9(x8381,x8383,a2),x8382,a2)
% 1.08/1.20 [839]P3(x8391,x8392,a2)+~P3(f9(x8391,x8393,a2),x8392,a2)
% 1.08/1.20 [876]P4(f11(x8762,x8761,a2),f11(x8763,x8761,a2),a2)+P3(f3(a2),x8761,a2)
% 1.08/1.20 [877]P4(f11(x8771,x8772,a2),f11(x8771,x8773,a2),a2)+P3(f3(a2),x8771,a2)
% 1.08/1.20 [950]~P4(x9501,x9503,a2)+P4(f11(x9501,x9502,a2),f11(x9503,x9502,a2),a2)
% 1.08/1.20 [952]~P4(x9522,x9523,a2)+P4(f11(x9521,x9522,a2),f11(x9521,x9523,a2),a2)
% 1.08/1.20 [953]~P4(x9531,x9533,a2)+P4(f9(x9531,x9532,a2),f9(x9533,x9532,a2),a2)
% 1.08/1.20 [954]~P4(x9542,x9543,a2)+P4(f9(x9541,x9542,a2),f9(x9541,x9543,a2),a2)
% 1.08/1.20 [955]~P4(x9551,x9553,a2)+P4(f4(x9551,x9552,a2),f4(x9553,x9552,a2),a2)
% 1.08/1.20 [956]~P4(x9563,x9562,a2)+P4(f4(x9561,x9562,a2),f4(x9561,x9563,a2),a2)
% 1.08/1.20 [957]~P3(x9571,x9573,a2)+P3(f9(x9571,x9572,a2),f9(x9573,x9572,a2),a2)
% 1.08/1.20 [958]~P3(x9582,x9583,a2)+P3(f9(x9581,x9582,a2),f9(x9581,x9583,a2),a2)
% 1.08/1.20 [1073]~P4(f4(x10731,x10733,a2),x10732,a2)+P4(x10731,f9(x10732,x10733,a2),a2)
% 1.08/1.20 [1074]~P3(f9(x10741,x10743,a2),x10742,a2)+P3(x10741,f4(x10742,x10743,a2),a2)
% 1.08/1.20 [1075]~P4(x10751,f9(x10753,x10752,a2),a2)+P4(f4(x10751,x10752,a2),x10753,a2)
% 1.08/1.20 [1076]~P3(x10761,f4(x10763,x10762,a2),a2)+P3(f9(x10761,x10762,a2),x10763,a2)
% 1.08/1.20 [1165]P4(x11651,x11652,a2)+~P4(f9(x11653,x11651,a2),f9(x11653,x11652,a2),a2)
% 1.08/1.20 [1166]P3(x11661,x11662,a2)+~P3(f11(x11663,x11661,a2),f11(x11663,x11662,a2),a2)
% 1.08/1.20 [1167]P3(x11671,x11672,a2)+~P3(f11(x11671,x11673,a2),f11(x11672,x11673,a2),a2)
% 1.08/1.20 [1168]P3(x11681,x11682,a2)+~P3(f9(x11683,x11681,a2),f9(x11683,x11682,a2),a2)
% 1.08/1.20 [1172]~P3(f11(x11722,x11721,a2),f11(x11723,x11721,a2),a2)+P3(f3(a2),x11721,a2)
% 1.08/1.20 [1173]~P3(f11(x11731,x11732,a2),f11(x11731,x11733,a2),a2)+P3(f3(a2),x11731,a2)
% 1.08/1.20 [516]~P2(x5161)+P2(f22(x5161,f15(x5162),x5163))
% 1.08/1.20 [529]~P48(x5293)+E(f11(x5291,f5(x5292,x5293),x5293),f8(x5291,x5292,x5293))
% 1.08/1.20 [530]~P17(x5303)+E(f9(x5301,f13(x5302,x5303),x5303),f4(x5301,x5302,x5303))
% 1.08/1.20 [531]~P27(x5313)+E(f9(x5311,f13(x5312,x5313),x5313),f4(x5311,x5312,x5313))
% 1.08/1.20 [533]~P19(x5333)+E(f9(x5331,f13(x5332,x5333),x5333),f4(x5331,x5332,x5333))
% 1.08/1.20 [534]~P27(x5343)+E(f4(x5341,f13(x5342,x5343),x5343),f9(x5341,x5342,x5343))
% 1.08/1.20 [540]~P3(x5402,x5403,a2)+E(f19(x5401,f15(x5402),x5403),f15(x5402))
% 1.08/1.20 [541]~P3(x5411,x5413,a2)+E(f22(f15(x5411),x5412,x5413),f15(x5411))
% 1.08/1.20 [561]~P66(x5612)+E(f11(f13(x5611,x5612),x5613,x5612),f11(x5611,f13(x5613,x5612),x5612))
% 1.08/1.20 [563]~P66(x5632)+E(f11(f13(x5631,x5632),f13(x5633,x5632),x5632),f11(x5631,x5633,x5632))
% 1.08/1.20 [575]~P11(x5753)+E(f28(x5751,f29(x5751,x5752,x5753),x5753),x5751)
% 1.08/1.20 [576]~P11(x5763)+E(f29(x5761,f28(x5761,x5762,x5763),x5763),x5761)
% 1.08/1.20 [577]~P27(x5773)+E(f9(f4(x5771,x5772,x5773),x5772,x5773),x5771)
% 1.08/1.20 [578]~P27(x5783)+E(f4(f9(x5781,x5782,x5783),x5782,x5783),x5781)
% 1.08/1.20 [580]~P1(x5803)+E(f7(f11(x5801,x5802,x5803),x5802,x5803),f3(x5803))
% 1.08/1.20 [581]~P1(x5813)+E(f7(f11(x5811,x5812,x5813),x5811,x5813),f3(x5813))
% 1.08/1.20 [620]~P19(x6203)+E(f13(f4(x6201,x6202,x6203),x6203),f4(x6202,x6201,x6203))
% 1.08/1.20 [656]~P19(x6562)+E(f9(f13(x6561,x6562),f9(x6563,x6561,x6562),x6562),x6563)
% 1.08/1.20 [657]~P27(x6572)+E(f9(f13(x6571,x6572),f9(x6571,x6573,x6572),x6572),x6573)
% 1.08/1.20 [680]~P66(x6803)+E(f11(x6801,f13(x6802,x6803),x6803),f13(f11(x6801,x6802,x6803),x6803))
% 1.08/1.20 [681]~P54(x6812)+E(f30(f6(x6811,x6812),x6813,x6812),f6(f30(x6811,x6813,x6812),x6812))
% 1.08/1.20 [682]~P48(x6822)+E(f8(f13(x6821,x6822),x6823,x6822),f13(f8(x6821,x6823,x6822),x6822))
% 1.08/1.20 [683]~P66(x6832)+E(f11(f13(x6831,x6832),x6833,x6832),f13(f11(x6831,x6833,x6832),x6832))
% 1.08/1.20 [715]P3(x7152,x7153,a2)+E(f19(x7151,f15(x7152),x7153),f15(f9(x7152,x7151,a2)))
% 1.08/1.20 [716]~P22(x7163)+E(f11(x7161,f11(x7161,x7162,x7163),x7163),f11(x7161,x7162,x7163))
% 1.08/1.20 [717]~P11(x7173)+E(f28(x7171,f28(x7171,x7172,x7173),x7173),f28(x7171,x7172,x7173))
% 1.08/1.20 [718]~P11(x7183)+E(f29(x7181,f29(x7181,x7182,x7183),x7183),f29(x7181,x7182,x7183))
% 1.08/1.20 [719]~P1(x7193)+E(f7(f7(x7191,x7192,x7193),x7192,x7193),f7(x7191,x7192,x7193))
% 1.08/1.20 [720]~P1(x7203)+E(f7(f9(x7201,x7202,x7203),x7202,x7203),f7(x7201,x7202,x7203))
% 1.08/1.20 [721]~P1(x7213)+E(f7(f9(x7211,x7212,x7213),x7211,x7213),f7(x7212,x7211,x7213))
% 1.08/1.20 [722]~P54(x7221)+P4(f3(x7221),f30(f6(x7222,x7221),x7223,x7221),x7221)
% 1.08/1.20 [727]~P68(x7272)+E(f11(f24(x7271,x7272),f24(x7273,x7272),x7272),f24(f11(x7271,x7273,a2),x7272))
% 1.08/1.20 [728]~P68(x7282)+E(f9(f24(x7281,x7282),f24(x7283,x7282),x7282),f24(f9(x7281,x7283,a2),x7282))
% 1.08/1.20 [730]~P54(x7302)+E(f11(f6(x7301,x7302),f6(x7303,x7302),x7302),f6(f11(x7301,x7303,x7302),x7302))
% 1.08/1.20 [731]~P27(x7312)+E(f9(f13(x7311,x7312),f13(x7313,x7312),x7312),f13(f9(x7313,x7311,x7312),x7312))
% 1.08/1.20 [732]~P19(x7322)+E(f9(f13(x7321,x7322),f13(x7323,x7322),x7322),f13(f9(x7321,x7323,x7322),x7322))
% 1.08/1.20 [733]~P54(x7332)+E(f11(f12(x7331,x7332),f12(x7333,x7332),x7332),f12(f11(x7331,x7333,x7332),x7332))
% 1.08/1.20 [776]~P31(x7763)+E(f6(f4(x7761,x7762,x7763),x7763),f6(f4(x7762,x7761,x7763),x7763))
% 1.08/1.20 [835]~P49(x8352)+P6(f11(x8351,f3(x8352),x8352),f11(x8353,f3(x8352),x8352),x8352)
% 1.08/1.20 [836]~P49(x8361)+P6(f11(f3(x8361),x8362,x8361),f11(f3(x8361),x8363,x8361),x8361)
% 1.08/1.20 [904]~P25(x9043)+E(f11(f30(x9041,x9042,x9043),x9041,x9043),f11(x9041,f30(x9041,x9042,x9043),x9043))
% 1.08/1.20 [1050]~P4(x10502,x10503,a2)+E(f4(f9(x10501,x10502,a2),x10503,a2),f4(x10501,f4(x10503,x10502,a2),a2))
% 1.08/1.20 [1051]~P4(x10513,x10512,a2)+E(f4(f9(x10511,x10512,a2),x10513,a2),f9(x10511,f4(x10512,x10513,a2),a2))
% 1.08/1.20 [1053]~P4(x10533,x10531,a2)+E(f4(f9(x10531,x10532,a2),x10533,a2),f9(f4(x10531,x10533,a2),x10532,a2))
% 1.08/1.20 [1090]~P67(x10901)+E(f11(f30(f13(f10(x10901),x10901),x10902,x10901),f30(x10903,x10902,x10901),x10901),f30(f13(x10903,x10901),x10902,x10901))
% 1.08/1.20 [1132]~P4(x11323,x11322,a2)+P4(x11321,f4(f9(x11322,x11321,a2),x11323,a2),a2)
% 1.08/1.20 [1192]~P50(x11923)+P4(f6(f11(x11921,x11922,x11923),x11923),f11(f6(x11921,x11923),f6(x11922,x11923),x11923),x11923)
% 1.08/1.20 [1193]~P31(x11933)+P4(f6(f9(x11931,x11932,x11933),x11933),f9(f6(x11931,x11933),f6(x11932,x11933),x11933),x11933)
% 1.08/1.20 [1194]~P31(x11943)+P4(f6(f4(x11941,x11942,x11943),x11943),f9(f6(x11941,x11943),f6(x11942,x11943),x11943),x11943)
% 1.08/1.20 [1195]~P31(x11952)+P4(f4(f6(x11951,x11952),f6(x11953,x11952),x11952),f6(f4(x11951,x11953,x11952),x11952),x11952)
% 1.08/1.20 [1283]~P56(x12831)+P4(f3(x12831),f9(f11(x12832,x12832,x12831),f11(x12833,x12833,x12831),x12831),x12831)
% 1.08/1.20 [1344]~P56(x13441)+~P3(f9(f11(x13442,x13442,x13441),f11(x13443,x13443,x13441),x13441),f3(x13441),x13441)
% 1.08/1.20 [714]~P27(x7142)+E(f9(x7141,f9(f13(x7141,x7142),x7143,x7142),x7142),x7143)
% 1.08/1.20 [801]~P3(x8013,x8011,a2)+E(f22(f15(x8011),x8012,x8013),f15(f4(x8011,f10(a2),a2)))
% 1.08/1.20 [840]~P54(x8402)+E(f6(f30(f13(x8401,x8402),x8403,x8402),x8402),f6(f30(x8401,x8403,x8402),x8402))
% 1.08/1.20 [918]~P38(x9183)+E(f11(x9181,f30(x9181,x9182,x9183),x9183),f30(x9181,f9(x9182,f10(a2),a2),x9183))
% 1.08/1.20 [919]~P38(x9193)+E(f11(f30(x9191,x9192,x9193),x9191,x9193),f30(x9191,f9(x9192,f10(a2),a2),x9193))
% 1.08/1.20 [920]~P10(x9203)+E(f30(x9201,f9(x9202,f10(a2),a2),x9203),f11(x9201,f30(x9201,x9202,x9203),x9203))
% 1.08/1.20 [922]~P38(x9223)+E(f30(x9221,f9(x9222,f10(a2),a2),x9223),f11(x9221,f30(x9221,x9222,x9223),x9223))
% 1.08/1.20 [923]~P25(x9233)+E(f30(x9231,f9(x9232,f10(a2),a2),x9233),f11(f30(x9231,x9232,x9233),x9231,x9233))
% 1.08/1.20 [928]~P31(x9282)+E(f6(f9(f6(x9281,x9282),f6(x9283,x9282),x9282),x9282),f9(f6(x9281,x9282),f6(x9283,x9282),x9282))
% 1.08/1.20 [944]~P38(x9443)+E(f9(x9441,f11(x9442,x9441,x9443),x9443),f11(f9(x9442,f10(x9443),x9443),x9441,x9443))
% 1.08/1.20 [945]~P38(x9453)+E(f9(f11(x9451,x9452,x9453),x9452,x9453),f11(f9(x9451,f10(x9453),x9453),x9452,x9453))
% 1.08/1.20 [1036]~P7(x10363)+E(f7(f13(f7(x10361,x10362,x10363),x10363),x10362,x10363),f7(f13(x10361,x10363),x10362,x10363))
% 1.08/1.20 [1126]~P3(x11262,f9(x11263,f10(a2),a2),a2)+E(f20(f20(x11261,x11262),f9(x11263,f10(a2),a2)),f20(f20(x11261,x11263),x11262))
% 1.08/1.20 [1198]E(x11981,x11982)+~E(f11(f9(x11983,f10(a2),a2),x11981,a2),f11(f9(x11983,f10(a2),a2),x11982,a2))
% 1.08/1.20 [1309]~P4(x13092,x13093,a2)+E(f4(f9(x13091,x13092,a2),f9(x13093,f10(a2),a2),a2),f4(x13091,f9(f4(x13093,x13092,a2),f10(a2),a2),a2))
% 1.08/1.20 [1310]~P4(x13102,x13101,a2)+E(f4(f9(f4(x13101,x13102,a2),f10(a2),a2),x13103,a2),f4(f9(x13101,f10(a2),a2),f9(x13102,x13103,a2),a2))
% 1.08/1.20 [1317]~P31(x13172)+P4(f6(f4(f6(x13171,x13172),f6(x13173,x13172),x13172),x13172),f6(f4(x13171,x13173,x13172),x13172),x13172)
% 1.08/1.20 [1330]~P3(x13302,x13303,a2)+P3(f11(f9(x13301,f10(a2),a2),x13302,a2),f11(f9(x13301,f10(a2),a2),x13303,a2),a2)
% 1.08/1.20 [1355]P4(x13551,x13552,a2)+~P4(f11(f9(x13553,f10(a2),a2),x13551,a2),f11(f9(x13553,f10(a2),a2),x13552,a2),a2)
% 1.08/1.20 [336]E(x3361,x3362)+~E(f16(x3363,x3361),f16(x3364,x3362))
% 1.08/1.20 [337]E(x3371,x3372)+~E(f16(x3371,x3373),f16(x3372,x3374))
% 1.08/1.20 [777]~P5(x7771,x7774)+P5(f22(x7771,x7772,x7773),f22(x7774,x7772,x7773))
% 1.08/1.20 [888]~P38(x8883)+E(f30(f30(x8881,x8882,x8883),x8884,x8883),f30(x8881,f11(x8882,x8884,a2),x8883))
% 1.08/1.20 [889]~P25(x8893)+E(f30(f30(x8891,x8892,x8893),x8894,x8893),f30(x8891,f11(x8892,x8894,a2),x8893))
% 1.08/1.20 [892]~P38(x8924)+E(f11(x8921,f11(x8922,x8923,x8924),x8924),f11(x8922,f11(x8921,x8923,x8924),x8924))
% 1.08/1.20 [893]~P14(x8934)+E(f9(x8931,f9(x8932,x8933,x8934),x8934),f9(x8932,f9(x8931,x8933,x8934),x8934))
% 1.08/1.20 [894]~P38(x8944)+E(f9(x8941,f9(x8942,x8943,x8944),x8944),f9(x8942,f9(x8941,x8943,x8944),x8944))
% 1.08/1.20 [895]~P19(x8954)+E(f9(x8951,f9(x8952,x8953,x8954),x8954),f9(x8952,f9(x8951,x8953,x8954),x8954))
% 1.08/1.20 [896]~P11(x8964)+E(f28(x8961,f28(x8962,x8963,x8964),x8964),f28(x8962,f28(x8961,x8963,x8964),x8964))
% 1.08/1.20 [897]~P11(x8974)+E(f29(x8971,f29(x8972,x8973,x8974),x8974),f29(x8972,f29(x8971,x8973,x8974),x8974))
% 1.08/1.20 [902]~P38(x9023)+E(f11(f11(x9021,x9022,x9023),x9024,x9023),f11(x9021,f11(x9022,x9024,x9023),x9023))
% 1.08/1.20 [903]~P21(x9033)+E(f11(f11(x9031,x9032,x9033),x9034,x9033),f11(x9031,f11(x9032,x9034,x9033),x9033))
% 1.08/1.20 [905]~P14(x9053)+E(f9(f9(x9051,x9052,x9053),x9054,x9053),f9(x9051,f9(x9052,x9054,x9053),x9053))
% 1.08/1.20 [906]~P38(x9063)+E(f9(f9(x9061,x9062,x9063),x9064,x9063),f9(x9061,f9(x9062,x9064,x9063),x9063))
% 1.08/1.20 [907]~P18(x9073)+E(f9(f9(x9071,x9072,x9073),x9074,x9073),f9(x9071,f9(x9072,x9074,x9073),x9073))
% 1.08/1.20 [908]~P11(x9083)+E(f28(f28(x9081,x9082,x9083),x9084,x9083),f28(x9081,f28(x9082,x9084,x9083),x9083))
% 1.08/1.20 [909]~P11(x9093)+E(f29(f29(x9091,x9092,x9093),x9094,x9093),f29(x9091,f29(x9092,x9094,x9093),x9093))
% 1.08/1.20 [910]~P38(x9103)+E(f11(f11(x9101,x9102,x9103),x9104,x9103),f11(f11(x9101,x9104,x9103),x9102,x9103))
% 1.08/1.20 [911]~P38(x9113)+E(f9(f9(x9111,x9112,x9113),x9114,x9113),f9(f9(x9111,x9114,x9113),x9112,x9113))
% 1.08/1.20 [1098]~P25(x10983)+E(f11(f30(x10981,x10982,x10983),f30(x10981,x10984,x10983),x10983),f30(x10981,f9(x10982,x10984,a2),x10983))
% 1.08/1.20 [1099]~P38(x10993)+E(f11(f30(x10991,x10992,x10993),f30(x10991,x10994,x10993),x10993),f30(x10991,f9(x10992,x10994,a2),x10993))
% 1.08/1.20 [1103]~P38(x11033)+E(f9(f11(x11031,x11032,x11033),f11(x11031,x11034,x11033),x11033),f11(x11031,f9(x11032,x11034,x11033),x11033))
% 1.08/1.20 [1104]~P11(x11043)+E(f29(f28(x11041,x11042,x11043),f28(x11041,x11044,x11043),x11043),f28(x11041,f29(x11042,x11044,x11043),x11043))
% 1.08/1.20 [1105]~P11(x11053)+E(f28(f29(x11051,x11052,x11053),f29(x11051,x11054,x11053),x11053),f29(x11051,f28(x11052,x11054,x11053),x11053))
% 1.08/1.20 [1106]~P48(x11063)+E(f9(f8(x11061,x11062,x11063),f8(x11064,x11062,x11063),x11063),f8(f9(x11061,x11064,x11063),x11062,x11063))
% 1.08/1.20 [1107]~P48(x11073)+E(f4(f8(x11071,x11072,x11073),f8(x11074,x11072,x11073),x11073),f8(f4(x11071,x11074,x11073),x11072,x11073))
% 1.08/1.20 [1109]~P39(x11093)+E(f9(f11(x11091,x11092,x11093),f11(x11094,x11092,x11093),x11093),f11(f9(x11091,x11094,x11093),x11092,x11093))
% 1.08/1.20 [1110]~P38(x11103)+E(f11(f30(x11101,x11102,x11103),f30(x11104,x11102,x11103),x11103),f30(f11(x11101,x11104,x11103),x11102,x11103))
% 1.08/1.20 [1111]~P24(x11113)+E(f11(f30(x11111,x11112,x11113),f30(x11114,x11112,x11113),x11113),f30(f11(x11111,x11114,x11113),x11112,x11113))
% 1.08/1.20 [1112]~P13(x11123)+E(f28(f9(x11121,x11122,x11123),f9(x11124,x11122,x11123),x11123),f9(f28(x11121,x11124,x11123),x11122,x11123))
% 1.08/1.20 [1113]~P13(x11133)+E(f29(f9(x11131,x11132,x11133),f9(x11134,x11132,x11133),x11133),f9(f29(x11131,x11134,x11133),x11132,x11133))
% 1.08/1.20 [1114]~P33(x11143)+E(f28(f4(x11141,x11142,x11143),f4(x11144,x11142,x11143),x11143),f4(f28(x11141,x11144,x11143),x11142,x11143))
% 1.08/1.20 [1115]~P33(x11153)+E(f29(f4(x11151,x11152,x11153),f4(x11154,x11152,x11153),x11153),f4(f29(x11151,x11154,x11153),x11152,x11153))
% 1.08/1.20 [1116]~P11(x11163)+E(f29(f28(x11161,x11162,x11163),f28(x11164,x11162,x11163),x11163),f28(f29(x11161,x11164,x11163),x11162,x11163))
% 1.08/1.20 [1117]~P11(x11173)+E(f28(f29(x11171,x11172,x11173),f29(x11174,x11172,x11173),x11173),f29(f28(x11171,x11174,x11173),x11172,x11173))
% 1.08/1.20 [1118]~P1(x11183)+E(f7(f11(x11181,x11182,x11183),f11(x11181,x11184,x11183),x11183),f11(x11181,f7(x11182,x11184,x11183),x11183))
% 1.08/1.20 [1119]~P1(x11193)+E(f7(f11(x11191,x11192,x11193),f11(x11194,x11192,x11193),x11193),f11(f7(x11191,x11194,x11193),x11192,x11193))
% 1.08/1.20 [1120]~P38(x11203)+E(f9(f11(x11201,x11202,x11203),f11(x11204,x11202,x11203),x11203),f11(f9(x11201,x11204,x11203),x11202,x11203))
% 1.08/1.20 [1307]E(f22(f20(x13071,f9(x13072,f10(a2),a2)),f20(x13073,x13072),x13074),f20(f22(x13071,x13073,x13074),x13072))+~P3(x13074,f9(x13072,f10(a2),a2),a2)
% 1.08/1.20 [1340]~P11(x13404)+P4(f28(x13401,f29(x13402,x13403,x13404),x13404),f29(f28(x13401,x13402,x13404),f28(x13401,x13403,x13404),x13404),x13404)
% 1.08/1.20 [1341]~P11(x13413)+P4(f28(f29(x13411,x13412,x13413),f29(x13411,x13414,x13413),x13413),f29(x13411,f28(x13412,x13414,x13413),x13413),x13413)
% 1.08/1.20 [1101]~P1(x11014)+E(f7(f9(x11011,f11(x11012,x11013,x11014),x11014),x11013,x11014),f7(x11011,x11013,x11014))
% 1.08/1.20 [1102]~P1(x11024)+E(f7(f9(x11021,f11(x11022,x11023,x11024),x11024),x11022,x11024),f7(x11021,x11022,x11024))
% 1.08/1.20 [1215]~P1(x12154)+E(f7(f11(x12151,f7(x12152,x12153,x12154),x12154),x12153,x12154),f7(f11(x12151,x12152,x12154),x12153,x12154))
% 1.08/1.20 [1217]~P7(x12174)+E(f7(f4(x12171,f7(x12172,x12173,x12174),x12174),x12173,x12174),f7(f4(x12171,x12172,x12174),x12173,x12174))
% 1.08/1.20 [1220]~P7(x12203)+E(f7(f4(f7(x12201,x12202,x12203),x12204,x12203),x12202,x12203),f7(f4(x12201,x12204,x12203),x12202,x12203))
% 1.08/1.20 [1221]~P1(x12214)+E(f7(f9(x12211,f7(x12212,x12213,x12214),x12214),x12213,x12214),f7(f9(x12211,x12212,x12214),x12213,x12214))
% 1.08/1.20 [1222]~P1(x12223)+E(f7(f11(f7(x12221,x12222,x12223),x12224,x12223),x12222,x12223),f7(f11(x12221,x12224,x12223),x12222,x12223))
% 1.08/1.20 [1223]~P1(x12233)+E(f7(f9(f7(x12231,x12232,x12233),x12234,x12233),x12232,x12233),f7(f9(x12231,x12234,x12233),x12232,x12233))
% 1.08/1.20 [1280]~P3(x12802,f9(x12804,f10(a2),a2),a2)+E(f22(f20(x12801,x12802),f20(x12803,x12802),f9(x12804,f10(a2),a2)),f20(f22(x12801,x12803,x12804),x12802))
% 1.08/1.20 [1318]~P1(x13183)+E(f7(f11(f7(x13181,x13182,x13183),f7(x13184,x13182,x13183),x13183),x13182,x13183),f7(f11(x13181,x13184,x13183),x13182,x13183))
% 1.08/1.20 [1319]~P1(x13193)+E(f7(f9(f7(x13191,x13192,x13193),f7(x13194,x13192,x13193),x13193),x13192,x13193),f7(f9(x13191,x13194,x13193),x13192,x13193))
% 1.08/1.20 [1320]~P7(x13203)+E(f7(f4(f7(x13201,x13202,x13203),f7(x13204,x13202,x13203),x13203),x13202,x13203),f7(f4(x13201,x13204,x13203),x13202,x13203))
% 1.08/1.20 [1354]~P4(x13541,x13543,a2)+E(f9(f11(x13541,x13542,a2),f9(f11(f4(x13543,x13541,a2),x13542,a2),x13544,a2),a2),f9(f11(x13543,x13542,a2),x13544,a2))
% 1.08/1.20 [586]E(x5861,x5862)+~E(f23(x5861,x5863,x5864),f23(x5862,x5865,x5864))
% 1.08/1.20 [1224]~P38(x12243)+E(f11(f11(x12241,x12242,x12243),f11(x12244,x12245,x12243),x12243),f11(f11(x12241,x12244,x12243),f11(x12242,x12245,x12243),x12243))
% 1.08/1.20 [1225]~P38(x12253)+E(f9(f9(x12251,x12252,x12253),f9(x12254,x12255,x12253),x12253),f9(f9(x12251,x12254,x12253),f9(x12252,x12255,x12253),x12253))
% 1.08/1.20 [1347]E(f22(f22(x13471,f20(x13472,x13473),f9(x13474,f10(a2),a2)),f22(x13475,x13472,x13474),x13473),f22(f22(x13471,x13475,x13473),x13472,x13474))+~P3(x13473,f9(x13474,f10(a2),a2),a2)
% 1.08/1.20 [1337]~P59(x13373)+E(f9(f11(x13371,x13372,x13373),f9(f11(x13374,x13372,x13373),x13375,x13373),x13373),f9(f11(f9(x13371,x13374,x13373),x13372,x13373),x13375,x13373))
% 1.08/1.20 [1378]~P31(x13783)+P4(f6(f4(f9(x13781,x13782,x13783),f9(x13784,x13785,x13783),x13783),x13783),f9(f6(f4(x13781,x13784,x13783),x13783),f6(f4(x13782,x13785,x13783),x13783),x13783),x13783)
% 1.08/1.20 [1351]~P66(x13513)+E(f9(f11(x13511,x13512,x13513),f9(f11(f4(x13514,x13511,x13513),x13512,x13513),x13515,x13513),x13513),f9(f11(x13514,x13512,x13513),x13515,x13513))
% 1.08/1.20 [1360]~P4(x13601,x13604,a2)+E(f4(f9(f11(x13601,x13602,a2),x13603,a2),f9(f11(x13604,x13602,a2),x13605,a2),a2),f4(x13603,f9(f11(f4(x13604,x13601,a2),x13602,a2),x13605,a2),a2))
% 1.08/1.20 [1361]~P4(x13614,x13611,a2)+E(f4(f9(f11(x13611,x13612,a2),x13613,a2),f9(f11(x13614,x13612,a2),x13615,a2),a2),f4(f9(f11(f4(x13611,x13614,a2),x13612,a2),x13613,a2),x13615,a2))
% 1.08/1.20 [330]~P48(x3301)+~P44(x3301)+E(f5(f10(x3301),x3301),f10(x3301))
% 1.08/1.20 [622]~P34(x6221)+~P4(f3(x6221),f3(x6221),x6221)+E(f9(f3(x6221),f3(x6221),x6221),f3(x6221))
% 1.08/1.20 [476]E(x4761,x4762)+P3(x4762,x4761,a2)+P3(x4761,x4762,a2)
% 1.08/1.20 [527]E(x5271,x5272)+P3(x5271,x5272,a2)+~P4(x5271,x5272,a2)
% 1.08/1.20 [579]E(x5791,x5792)+~P4(x5792,x5791,a2)+~P4(x5791,x5792,a2)
% 1.08/1.20 [327]~P32(x3272)+~E(f13(x3271,x3272),x3271)+E(x3271,f3(x3272))
% 1.08/1.20 [331]~P45(x3312)+~E(f5(x3311,x3312),f3(x3312))+E(x3311,f3(x3312))
% 1.08/1.20 [332]~P31(x3322)+~E(f6(x3321,x3322),f3(x3322))+E(x3321,f3(x3322))
% 1.08/1.20 [333]~P27(x3332)+~E(f13(x3331,x3332),f3(x3332))+E(x3331,f3(x3332))
% 1.08/1.20 [334]~P54(x3342)+~E(f12(x3341,x3342),f3(x3342))+E(x3341,f3(x3342))
% 1.08/1.20 [335]~P27(x3351)+~E(f13(x3352,x3351),f3(x3351))+E(f3(x3351),x3352)
% 1.08/1.20 [393]~P48(x3932)+E(f8(x3931,x3931,x3932),f10(x3932))+E(x3931,f3(x3932))
% 1.08/1.20 [405]~P49(x4052)+~P17(x4052)+E(f4(x4051,x4051,x4052),f3(x4052))
% 1.08/1.20 [418]~P40(x4182)+P3(x4181,f3(x4182),x4182)+E(f6(x4181,x4182),x4181)
% 1.08/1.20 [439]~P28(x4391)+P4(f3(x4391),x4392,x4391)+~E(f26(x4392,x4391),x4392)
% 1.08/1.20 [443]~E(f11(x4432,x4431,a2),x4432)+E(x4431,f10(a2))+E(x4432,f3(a2))
% 1.08/1.20 [453]E(x4531,f3(a2))+E(x4532,f3(a2))+~E(f11(x4532,x4531,a2),f3(a2))
% 1.08/1.20 [454]~P28(x4542)+P4(x4541,f3(x4542),x4542)+~E(f26(x4541,x4542),f3(x4542))
% 1.08/1.20 [455]~P54(x4551)+P3(f3(x4551),x4552,x4551)+~E(f12(x4552,x4551),f10(x4551))
% 1.08/1.20 [460]~P31(x4602)+P3(f3(x4602),f6(x4601,x4602),x4602)+E(x4601,f3(x4602))
% 1.08/1.20 [465]~P28(x4652)+~E(f9(x4651,x4651,x4652),f3(x4652))+E(x4651,f3(x4652))
% 1.08/1.20 [473]~P38(x4732)+~P6(f3(x4732),x4731,x4732)+E(x4731,f3(x4732))
% 1.08/1.20 [501]~P31(x5012)+~P4(f3(x5012),x5011,x5012)+E(f6(x5011,x5012),x5011)
% 1.08/1.20 [502]~P31(x5022)+~P3(f3(x5022),x5021,x5022)+E(f6(x5021,x5022),x5021)
% 1.08/1.20 [503]~P28(x5032)+~P4(f3(x5032),x5031,x5032)+E(f26(x5031,x5032),x5031)
% 1.08/1.20 [510]~P28(x5102)+~P4(x5101,f3(x5102),x5102)+E(f26(x5101,x5102),f3(x5102))
% 1.08/1.20 [511]~P54(x5112)+~P3(f3(x5112),x5111,x5112)+E(f12(x5111,x5112),f10(x5112))
% 1.08/1.20 [517]~P31(x5172)+~P4(x5171,f3(x5172),x5172)+E(f6(x5171,x5172),f13(x5171,x5172))
% 1.08/1.20 [518]~P31(x5182)+~P3(x5181,f3(x5182),x5182)+E(f6(x5181,x5182),f13(x5181,x5182))
% 1.08/1.20 [519]~P40(x5192)+~P3(x5191,f3(x5192),x5192)+E(f6(x5191,x5192),f13(x5191,x5192))
% 1.08/1.20 [546]~P31(x5462)+~P4(f6(x5461,x5462),f3(x5462),x5462)+E(x5461,f3(x5462))
% 1.08/1.20 [595]E(x5951,x5952)+~E(f4(x5952,x5951,a2),f3(a2))+~E(f4(x5951,x5952,a2),f3(a2))
% 1.08/1.20 [621]~P9(x6211)+P3(f3(x6211),f24(x6212,x6211),x6211)+~P3(f3(a2),x6212,a2)
% 1.08/1.20 [625]~P28(x6252)+~P4(x6251,f3(x6252),x6252)+P4(x6251,f13(x6251,x6252),x6252)
% 1.08/1.20 [626]~P32(x6262)+~P4(x6261,f3(x6262),x6262)+P4(x6261,f13(x6261,x6262),x6262)
% 1.08/1.20 [627]~P54(x6272)+~P3(x6271,f3(x6272),x6272)+P3(x6271,f13(x6271,x6272),x6272)
% 1.08/1.20 [628]~P28(x6282)+~P4(f3(x6282),x6281,x6282)+P4(f13(x6281,x6282),x6281,x6282)
% 1.08/1.20 [629]~P32(x6292)+~P4(f3(x6292),x6291,x6292)+P4(f13(x6291,x6292),x6291,x6292)
% 1.08/1.20 [641]~P33(x6411)+~P4(x6412,f3(x6411),x6411)+P4(f3(x6411),f13(x6412,x6411),x6411)
% 1.08/1.20 [642]~P33(x6421)+~P3(x6422,f3(x6421),x6421)+P3(f3(x6421),f13(x6422,x6421),x6421)
% 1.08/1.20 [643]~P55(x6431)+~P3(f3(x6431),x6432,x6431)+P3(f3(x6431),f5(x6432,x6431),x6431)
% 1.08/1.20 [644]~P54(x6441)+~P3(f3(x6441),x6442,x6441)+P3(f3(x6441),f12(x6442,x6441),x6441)
% 1.08/1.20 [645]~P55(x6452)+~P3(x6451,f3(x6452),x6452)+P3(f5(x6451,x6452),f3(x6452),x6452)
% 1.08/1.20 [646]~P54(x6462)+~P3(x6461,f3(x6462),x6462)+P3(f12(x6461,x6462),f3(x6462),x6462)
% 1.08/1.20 [647]~P33(x6472)+~P4(f3(x6472),x6471,x6472)+P4(f13(x6471,x6472),f3(x6472),x6472)
% 1.08/1.20 [648]~P33(x6482)+~P3(f3(x6482),x6481,x6482)+P3(f13(x6481,x6482),f3(x6482),x6482)
% 1.08/1.20 [651]~P28(x6512)+~P4(x6511,f13(x6511,x6512),x6512)+P4(x6511,f3(x6512),x6512)
% 1.08/1.20 [652]~P32(x6522)+~P4(x6521,f13(x6521,x6522),x6522)+P4(x6521,f3(x6522),x6522)
% 1.08/1.20 [653]~P54(x6532)+~P3(x6531,f13(x6531,x6532),x6532)+P3(x6531,f3(x6532),x6532)
% 1.08/1.20 [654]~P28(x6541)+~P4(f13(x6542,x6541),x6542,x6541)+P4(f3(x6541),x6542,x6541)
% 1.08/1.20 [655]~P32(x6551)+~P4(f13(x6552,x6551),x6552,x6551)+P4(f3(x6551),x6552,x6551)
% 1.08/1.20 [672]~P9(x6722)+~P3(f3(x6722),f24(x6721,x6722),x6722)+P3(f3(a2),x6721,a2)
% 1.08/1.20 [674]~P33(x6742)+~P4(f3(x6742),f13(x6741,x6742),x6742)+P4(x6741,f3(x6742),x6742)
% 1.08/1.20 [675]~P33(x6752)+~P3(f3(x6752),f13(x6751,x6752),x6752)+P3(x6751,f3(x6752),x6752)
% 1.08/1.20 [676]~P54(x6762)+~P3(f12(x6761,x6762),f3(x6762),x6762)+P3(x6761,f3(x6762),x6762)
% 1.08/1.20 [677]~P54(x6771)+~P3(f3(x6771),f12(x6772,x6771),x6771)+P3(f3(x6771),x6772,x6771)
% 1.08/1.20 [678]~P33(x6781)+~P4(f13(x6782,x6781),f3(x6781),x6781)+P4(f3(x6781),x6782,x6781)
% 1.08/1.20 [679]~P33(x6791)+~P3(f13(x6792,x6791),f3(x6791),x6791)+P3(f3(x6791),x6792,x6791)
% 1.08/1.20 [806]~P28(x8061)+~P4(f3(x8061),x8062,x8061)+P4(f3(x8061),f9(x8062,x8062,x8061),x8061)
% 1.08/1.20 [809]~P28(x8091)+~P3(f3(x8091),x8092,x8091)+P3(f3(x8091),f9(x8092,x8092,x8091),x8091)
% 1.08/1.20 [810]~P28(x8102)+~P4(x8101,f3(x8102),x8102)+P4(f9(x8101,x8101,x8102),f3(x8102),x8102)
% 1.08/1.20 [811]~P28(x8112)+~P3(x8111,f3(x8112),x8112)+P3(f9(x8111,x8111,x8112),f3(x8112),x8112)
% 1.08/1.20 [812]~P54(x8122)+~P3(x8121,f3(x8122),x8122)+P3(f9(x8121,x8121,x8122),f3(x8122),x8122)
% 1.08/1.20 [913]~P28(x9132)+~P4(f9(x9131,x9131,x9132),f3(x9132),x9132)+P4(x9131,f3(x9132),x9132)
% 1.08/1.20 [914]~P28(x9142)+~P3(f9(x9141,x9141,x9142),f3(x9142),x9142)+P3(x9141,f3(x9142),x9142)
% 1.08/1.20 [915]~P54(x9152)+~P3(f9(x9151,x9151,x9152),f3(x9152),x9152)+P3(x9151,f3(x9152),x9152)
% 1.08/1.20 [916]~P28(x9161)+~P4(f3(x9161),f9(x9162,x9162,x9161),x9161)+P4(f3(x9161),x9162,x9161)
% 1.08/1.20 [917]~P28(x9171)+~P3(f3(x9171),f9(x9172,x9172,x9171),x9171)+P3(f3(x9171),x9172,x9171)
% 1.08/1.20 [924]P3(f4(x9241,x9242,a2),x9241,a2)+~P3(f3(a2),x9242,a2)+~P3(f3(a2),x9241,a2)
% 1.08/1.20 [927]~P3(f3(a2),x9272,a2)+~P3(f3(a2),x9271,a2)+P3(f3(a2),f11(x9271,x9272,a2),a2)
% 1.08/1.20 [986]P3(f3(a2),x9861,a2)+P3(f3(a2),x9862,a2)+~P3(f3(a2),f9(x9861,x9862,a2),a2)
% 1.08/1.20 [347]~P45(x3472)+E(x3471,f3(x3472))+E(f5(f5(x3471,x3472),x3472),x3471)
% 1.08/1.20 [351]~P44(x3512)+~P45(x3512)+E(f5(f5(x3511,x3512),x3512),x3511)
% 1.08/1.20 [408]~P49(x4082)+~P17(x4082)+E(f9(x4081,f3(x4082),x4082),x4081)
% 1.08/1.20 [413]~P48(x4132)+~P44(x4132)+E(f8(x4131,f3(x4132),x4132),f3(x4132))
% 1.08/1.20 [441]~P55(x4412)+E(x4411,f3(x4412))+E(f6(f5(x4411,x4412),x4412),f5(f6(x4411,x4412),x4412))
% 1.08/1.20 [442]~P45(x4422)+E(x4421,f3(x4422))+E(f5(f13(x4421,x4422),x4422),f13(f5(x4421,x4422),x4422))
% 1.08/1.20 [451]~P55(x4512)+~P44(x4512)+E(f6(f5(x4511,x4512),x4512),f5(f6(x4511,x4512),x4512))
% 1.08/1.20 [452]~P44(x4522)+~P45(x4522)+E(f5(f13(x4521,x4522),x4522),f13(f5(x4521,x4522),x4522))
% 1.08/1.20 [456]~P45(x4562)+E(x4561,f3(x4562))+E(f11(x4561,f5(x4561,x4562),x4562),f10(x4562))
% 1.08/1.20 [457]~P48(x4572)+E(x4571,f3(x4572))+E(f11(f5(x4571,x4572),x4571,x4572),f10(x4572))
% 1.08/1.20 [458]~P45(x4582)+E(x4581,f3(x4582))+E(f11(f5(x4581,x4582),x4581,x4582),f10(x4582))
% 1.08/1.20 [512]~P54(x5122)+P3(x5121,f3(x5122),x5122)+~E(f12(x5121,x5122),f13(f10(x5122),x5122))
% 1.08/1.20 [522]~P54(x5222)+~P3(x5221,f3(x5222),x5222)+E(f12(x5221,x5222),f13(f10(x5222),x5222))
% 1.08/1.20 [623]E(x6231,f3(a2))+E(x6232,f3(a2))+~E(f9(x6232,x6231,a2),f9(f3(a2),f10(a2),a2))
% 1.08/1.20 [624]E(x6241,f3(a2))+E(x6242,f3(a2))+~E(f9(f3(a2),f10(a2),a2),f9(x6242,x6241,a2))
% 1.08/1.20 [746]E(x7461,f3(a2))+E(x7461,f9(f3(a2),f10(a2),a2))+~E(f9(x7462,x7461,a2),f9(f3(a2),f10(a2),a2))
% 1.08/1.20 [747]E(x7471,f3(a2))+E(x7471,f9(f3(a2),f10(a2),a2))+~E(f9(x7471,x7472,a2),f9(f3(a2),f10(a2),a2))
% 1.08/1.20 [748]E(x7481,f3(a2))+E(x7481,f9(f3(a2),f10(a2),a2))+~E(f9(f3(a2),f10(a2),a2),f9(x7482,x7481,a2))
% 1.08/1.20 [749]E(x7491,f3(a2))+E(x7491,f9(f3(a2),f10(a2),a2))+~E(f9(f3(a2),f10(a2),a2),f9(x7491,x7492,a2))
% 1.08/1.20 [831]E(x8311,f9(f3(a2),f10(a2),a2))+E(x8312,f9(f3(a2),f10(a2),a2))+~E(f9(x8312,x8311,a2),f9(f3(a2),f10(a2),a2))
% 1.08/1.20 [832]E(x8321,f9(f3(a2),f10(a2),a2))+E(x8322,f9(f3(a2),f10(a2),a2))+~E(f9(f3(a2),f10(a2),a2),f9(x8322,x8321,a2))
% 1.08/1.20 [846]~P3(x8461,x8462,a2)+P3(f9(x8461,f10(a2),a2),x8462,a2)+E(f9(x8461,f10(a2),a2),x8462)
% 1.08/1.20 [858]E(x8581,x8582)+P3(x8582,x8581,a2)+~P3(x8582,f9(x8581,f10(a2),a2),a2)
% 1.08/1.20 [860]E(x8601,x8602)+P3(x8601,x8602,a2)+~P3(x8601,f9(x8602,f10(a2),a2),a2)
% 1.08/1.20 [948]E(x9481,x9482)+~P4(x9482,x9481,a2)+~P3(x9481,f9(x9482,f10(a2),a2),a2)
% 1.08/1.20 [1022]P4(x10221,x10222,a2)+~P4(x10221,f9(x10222,f10(a2),a2),a2)+E(x10221,f9(x10222,f10(a2),a2))
% 1.08/1.20 [1304]P3(x13041,f11(x13042,x13041,a2),a2)+~P3(f9(f3(a2),f10(a2),a2),x13042,a2)+~P3(f9(f3(a2),f10(a2),a2),x13041,a2)
% 1.08/1.20 [1305]P3(x13051,f11(x13051,x13052,a2),a2)+~P3(f9(f3(a2),f10(a2),a2),x13052,a2)+~P3(f9(f3(a2),f10(a2),a2),x13051,a2)
% 1.08/1.20 [1331]~P4(f9(f3(a2),f10(a2),a2),x13312,a2)+~P4(f9(f3(a2),f10(a2),a2),x13311,a2)+P4(f9(f3(a2),f10(a2),a2),f11(x13311,x13312,a2),a2)
% 1.08/1.20 [1332]~P3(f9(f3(a2),f10(a2),a2),x13322,a2)+~P3(f9(f3(a2),f10(a2),a2),x13321,a2)+P3(f9(f3(a2),f10(a2),a2),f11(x13321,x13322,a2),a2)
% 1.08/1.20 [633]~P58(x6331)+~P10(x6331)+E(f30(f3(x6331),f9(x6332,f10(a2),a2),x6331),f3(x6331))
% 1.08/1.20 [650]~P48(x6501)+~P44(x6501)+E(f8(f11(f3(x6501),x6502,x6501),x6502,x6501),f3(x6501))
% 1.08/1.20 [496]P4(x4962,x4961,x4963)+~P11(x4963)+P4(x4961,x4962,x4963)
% 1.08/1.20 [499]P3(x4992,x4991,x4993)+~P11(x4993)+P4(x4991,x4992,x4993)
% 1.08/1.20 [538]~P36(x5383)+~P3(x5381,x5382,x5383)+P4(x5381,x5382,x5383)
% 1.08/1.20 [539]~P37(x5393)+~P3(x5391,x5392,x5393)+P4(x5391,x5392,x5393)
% 1.08/1.20 [600]~P3(x6003,x6002,x6001)+~P11(x6001)+~P4(x6002,x6003,x6001)
% 1.08/1.20 [602]~P3(x6023,x6022,x6021)+~P11(x6021)+~P3(x6022,x6023,x6021)
% 1.08/1.20 [603]~P3(x6033,x6032,x6031)+~P36(x6031)+~P4(x6032,x6033,x6031)
% 1.08/1.20 [605]~P3(x6053,x6052,x6051)+~P36(x6051)+~P3(x6052,x6053,x6051)
% 1.08/1.20 [606]~P3(x6063,x6062,x6061)+~P37(x6061)+~P3(x6062,x6063,x6061)
% 1.08/1.20 [713]~P4(x7131,x7133,a2)+P4(x7131,x7132,a2)+~P4(x7133,x7132,a2)
% 1.08/1.20 [348]~P27(x3483)+E(x3481,x3482)+~E(f13(x3481,x3483),f13(x3482,x3483))
% 1.08/1.20 [349]~P16(x3493)+E(x3491,x3492)+~E(f13(x3491,x3493),f13(x3492,x3493))
% 1.08/1.20 [350]~P15(x3503)+E(x3501,x3502)+~E(f24(x3501,x3503),f24(x3502,x3503))
% 1.08/1.20 [462]~P27(x4623)+E(x4621,x4622)+~E(f4(x4621,x4622,x4623),f3(x4623))
% 1.08/1.20 [463]~P19(x4633)+E(x4631,x4632)+~E(f4(x4631,x4632,x4633),f3(x4633))
% 1.08/1.20 [464]~P65(x4642)+~E(f30(x4641,x4643,x4642),f3(x4642))+E(x4641,f3(x4642))
% 1.08/1.20 [467]~P54(x4673)+P6(x4671,x4672,x4673)+~E(f6(x4671,x4673),f6(x4672,x4673))
% 1.08/1.20 [485]~P27(x4853)+~E(f9(x4851,x4852,x4853),f3(x4853))+E(x4851,f13(x4852,x4853))
% 1.08/1.20 [486]~P45(x4862)+~E(f11(x4861,x4863,x4862),f10(x4862))+E(f5(x4861,x4862),x4863)
% 1.08/1.20 [487]~P27(x4872)+~E(f9(x4871,x4873,x4872),f3(x4872))+E(f13(x4871,x4872),x4873)
% 1.08/1.20 [542]~P11(x5423)+~P4(x5421,x5422,x5423)+E(f28(x5421,x5422,x5423),x5422)
% 1.08/1.20 [543]~P11(x5433)+~P4(x5432,x5431,x5433)+E(f28(x5431,x5432,x5433),x5431)
% 1.08/1.20 [544]~P11(x5443)+~P4(x5442,x5441,x5443)+E(f29(x5441,x5442,x5443),x5442)
% 1.08/1.20 [545]~P11(x5453)+~P4(x5451,x5452,x5453)+E(f29(x5451,x5452,x5453),x5451)
% 1.08/1.20 [548]~P11(x5483)+P4(x5481,x5482,x5483)+~E(f28(x5481,x5482,x5483),x5482)
% 1.08/1.20 [549]~P11(x5493)+P4(x5491,x5492,x5493)+~E(f29(x5491,x5492,x5493),x5491)
% 1.08/1.20 [558]~P1(x5583)+~P6(x5582,x5581,x5583)+E(f7(x5581,x5582,x5583),f3(x5583))
% 1.08/1.20 [559]~P1(x5593)+P6(x5591,x5592,x5593)+~E(f7(x5592,x5591,x5593),f3(x5593))
% 1.08/1.20 [583]E(x5831,x5832)+~E(f11(x5833,x5831,a2),f11(x5833,x5832,a2))+E(x5833,f3(a2))
% 1.08/1.20 [584]E(x5841,x5842)+~E(f11(x5841,x5843,a2),f11(x5842,x5843,a2))+E(x5843,f3(a2))
% 1.08/1.20 [587]~P54(x5873)+~P6(x5871,x5872,x5873)+P6(x5871,f6(x5872,x5873),x5873)
% 1.08/1.20 [588]~P41(x5883)+~P6(x5881,x5882,x5883)+P6(x5881,f13(x5882,x5883),x5883)
% 1.08/1.20 [589]~P54(x5892)+~P6(x5891,x5893,x5892)+P6(f6(x5891,x5892),x5893,x5892)
% 1.08/1.20 [590]~P41(x5902)+~P6(x5901,x5903,x5902)+P6(f13(x5901,x5902),x5903,x5902)
% 1.08/1.20 [634]~P54(x6343)+P6(x6341,x6342,x6343)+~P6(x6341,f6(x6342,x6343),x6343)
% 1.08/1.20 [635]~P41(x6353)+P6(x6351,x6352,x6353)+~P6(x6351,f13(x6352,x6353),x6353)
% 1.08/1.20 [636]~P31(x6363)+P4(x6361,x6362,x6363)+~P4(f6(x6361,x6363),x6362,x6363)
% 1.08/1.20 [637]~P54(x6373)+P3(x6371,x6372,x6373)+~P3(f6(x6371,x6373),x6372,x6373)
% 1.08/1.20 [638]~P54(x6383)+P6(x6381,x6382,x6383)+~P6(f6(x6381,x6383),x6382,x6383)
% 1.08/1.20 [639]~P41(x6393)+P6(x6391,x6392,x6393)+~P6(f13(x6391,x6393),x6392,x6393)
% 1.08/1.20 [667]~P9(x6672)+~P4(x6671,x6673,a2)+P4(f24(x6671,x6672),f24(x6673,x6672),x6672)
% 1.08/1.20 [668]~P9(x6682)+~P3(x6681,x6683,a2)+P3(f24(x6681,x6682),f24(x6683,x6682),x6682)
% 1.08/1.20 [670]~P33(x6702)+~P4(x6703,x6701,x6702)+P4(f13(x6701,x6702),f13(x6703,x6702),x6702)
% 1.08/1.20 [671]~P33(x6712)+~P3(x6713,x6711,x6712)+P3(f13(x6711,x6712),f13(x6713,x6712),x6712)
% 1.08/1.20 [698]~P33(x6983)+~P4(x6982,f13(x6981,x6983),x6983)+P4(x6981,f13(x6982,x6983),x6983)
% 1.08/1.20 [700]~P33(x7003)+~P3(x7002,f13(x7001,x7003),x7003)+P3(x7001,f13(x7002,x7003),x7003)
% 1.08/1.20 [701]~P31(x7012)+~P4(f6(x7011,x7012),x7013,x7012)+P4(f13(x7011,x7012),x7013,x7012)
% 1.08/1.20 [703]~P33(x7032)+~P4(f13(x7033,x7032),x7031,x7032)+P4(f13(x7031,x7032),x7033,x7032)
% 1.08/1.20 [705]~P33(x7052)+~P3(f13(x7053,x7052),x7051,x7052)+P3(f13(x7051,x7052),x7053,x7052)
% 1.08/1.20 [706]~P54(x7062)+~P3(f6(x7061,x7062),x7063,x7062)+P3(f13(x7061,x7062),x7063,x7062)
% 1.08/1.20 [723]~P9(x7233)+~P4(f24(x7231,x7233),f24(x7232,x7233),x7233)+P4(x7231,x7232,a2)
% 1.08/1.20 [724]~P9(x7243)+~P3(f24(x7241,x7243),f24(x7242,x7243),x7243)+P3(x7241,x7242,a2)
% 1.08/1.20 [725]~P33(x7253)+P4(x7251,x7252,x7253)+~P4(f13(x7252,x7253),f13(x7251,x7253),x7253)
% 1.08/1.20 [726]~P33(x7263)+P3(x7261,x7262,x7263)+~P3(f13(x7262,x7263),f13(x7261,x7263),x7263)
% 1.08/1.20 [798]E(x7981,x7982)+~E(f11(x7983,x7981,a2),f11(x7983,x7982,a2))+~P3(f3(a2),x7983,a2)
% 1.08/1.20 [799]~P38(x7993)+P6(x7991,f30(x7991,x7992,x7993),x7993)+~P3(f3(a2),x7992,a2)
% 1.08/1.20 [802]~P33(x8023)+~P4(x8021,x8022,x8023)+P4(f4(x8021,x8022,x8023),f3(x8023),x8023)
% 1.08/1.20 [803]~P33(x8033)+~P3(x8031,x8032,x8033)+P3(f4(x8031,x8032,x8033),f3(x8033),x8033)
% 1.08/1.20 [805]~P9(x8051)+~P4(f3(x8051),x8052,x8051)+P4(f3(x8051),f30(x8052,x8053,x8051),x8051)
% 1.08/1.20 [807]~P9(x8071)+~P4(f10(x8071),x8072,x8071)+P4(f10(x8071),f30(x8072,x8073,x8071),x8071)
% 1.08/1.20 [808]~P9(x8081)+~P3(f3(x8081),x8082,x8081)+P3(f3(x8081),f30(x8082,x8083,x8081),x8081)
% 1.08/1.20 [844]~P28(x8443)+~P4(x8441,f13(x8442,x8443),x8443)+P4(f9(x8441,x8442,x8443),f3(x8443),x8443)
% 1.08/1.20 [882]~P33(x8823)+P4(x8821,x8822,x8823)+~P4(f4(x8821,x8822,x8823),f3(x8823),x8823)
% 1.08/1.20 [883]~P33(x8833)+P3(x8831,x8832,x8833)+~P3(f4(x8831,x8832,x8833),f3(x8833),x8833)
% 1.08/1.20 [891]~P4(x8911,x8912,a2)+P3(x8911,f9(x8912,x8913,a2),a2)+~P3(f3(a2),x8913,a2)
% 1.08/1.20 [960]~P28(x9603)+~P4(f9(x9601,x9602,x9603),f3(x9603),x9603)+P4(x9601,f13(x9602,x9603),x9603)
% 1.08/1.20 [1088]~P4(x10882,x10881,a2)+~P3(x10881,x10883,a2)+P3(f4(x10881,x10882,a2),f4(x10883,x10882,a2),a2)
% 1.08/1.20 [1089]~P3(x10893,x10892,a2)+~P3(x10893,x10891,a2)+P3(f4(x10891,x10892,a2),f4(x10891,x10893,a2),a2)
% 1.08/1.20 [1094]~P3(x10941,x10943,a2)+P3(f11(x10941,x10942,a2),f11(x10943,x10942,a2),a2)+~P3(f3(a2),x10942,a2)
% 1.08/1.20 [1097]~P3(x10972,x10973,a2)+P3(f11(x10971,x10972,a2),f11(x10971,x10973,a2),a2)+~P3(f3(a2),x10971,a2)
% 1.08/1.20 [1184]~P4(x11843,x11842,a2)+~P4(f9(x11841,x11843,a2),x11842,a2)+P4(x11841,f4(x11842,x11843,a2),a2)
% 1.08/1.20 [1185]~P4(x11852,x11853,a2)+~P4(x11851,f4(x11853,x11852,a2),a2)+P4(f9(x11851,x11852,a2),x11853,a2)
% 1.08/1.20 [1239]P4(x12391,x12392,a2)+~P4(f11(x12393,x12391,a2),f11(x12393,x12392,a2),a2)+~P3(f3(a2),x12393,a2)
% 1.08/1.20 [1240]P4(x12401,x12402,a2)+~P4(f11(x12401,x12403,a2),f11(x12402,x12403,a2),a2)+~P3(f3(a2),x12403,a2)
% 1.08/1.20 [509]E(x5091,x5092)+P3(x5092,x5091,a2)+E(f22(f15(x5091),x5093,x5092),f15(x5091))
% 1.08/1.20 [585]~P48(x5852)+E(x5851,f3(x5852))+E(f8(f13(x5853,x5852),f13(x5851,x5852),x5852),f8(x5853,x5851,x5852))
% 1.08/1.20 [593]~P48(x5932)+E(x5931,f3(x5932))+E(f8(f11(x5933,x5931,x5932),x5931,x5932),x5933)
% 1.08/1.20 [594]~P48(x5942)+~P44(x5942)+E(f8(f13(x5941,x5942),f13(x5943,x5942),x5942),f8(x5941,x5943,x5942))
% 1.08/1.20 [640]~P48(x6403)+~P44(x6403)+E(f5(f8(x6401,x6402,x6403),x6403),f8(x6402,x6401,x6403))
% 1.08/1.20 [695]~P48(x6952)+E(x6951,f3(x6952))+E(f8(x6953,f13(x6951,x6952),x6952),f13(f8(x6953,x6951,x6952),x6952))
% 1.08/1.20 [696]~P45(x6962)+E(x6961,f3(x6962))+E(f30(f5(x6961,x6962),x6963,x6962),f5(f30(x6961,x6963,x6962),x6962))
% 1.08/1.20 [707]~P48(x7073)+~P44(x7073)+E(f8(x7071,f13(x7072,x7073),x7073),f13(f8(x7071,x7072,x7073),x7073))
% 1.08/1.20 [708]~P44(x7082)+~P45(x7082)+E(f30(f5(x7081,x7082),x7083,x7082),f5(f30(x7081,x7083,x7082),x7082))
% 1.08/1.20 [745]~P55(x7452)+E(x7451,f3(x7452))+E(f8(f6(x7453,x7452),f6(x7451,x7452),x7452),f6(f8(x7453,x7451,x7452),x7452))
% 1.08/1.20 [759]~P48(x7592)+~P44(x7592)+E(f11(f5(x7591,x7592),f5(x7593,x7592),x7592),f5(f11(x7591,x7593,x7592),x7592))
% 1.08/1.20 [760]~P55(x7602)+~P44(x7602)+E(f8(f6(x7601,x7602),f6(x7603,x7602),x7602),f6(f8(x7601,x7603,x7602),x7602))
% 1.08/1.20 [847]~P54(x8472)+~P4(f3(x8472),x8473,x8472)+E(f11(f6(x8471,x8472),x8473,x8472),f6(f11(x8471,x8473,x8472),x8472))
% 1.08/1.20 [861]~P67(x8612)+~P4(x8613,x8611,a2)+E(f4(f24(x8611,x8612),f24(x8613,x8612),x8612),f24(f4(x8611,x8613,a2),x8612))
% 1.08/1.20 [912]~P3(x9121,x9123,a2)+~P3(x9123,x9122,a2)+P3(f9(x9121,f10(a2),a2),x9122,a2)
% 1.08/1.20 [1121]~P56(x11212)+E(x11211,f3(x11212))+~E(f9(f11(x11213,x11213,x11212),f11(x11211,x11211,x11212),x11212),f3(x11212))
% 1.08/1.20 [1122]~P56(x11222)+E(x11221,f3(x11222))+~E(f9(f11(x11221,x11221,x11222),f11(x11223,x11223,x11222),x11222),f3(x11222))
% 1.08/1.20 [1175]~P4(x11752,x11753,a2)+~P4(x11752,x11751,a2)+E(f4(f4(x11751,x11752,a2),f4(x11753,x11752,a2),a2),f4(x11751,x11753,a2))
% 1.08/1.20 [1183]~P9(x11831)+~P3(f10(x11831),x11832,x11831)+P3(f10(x11831),f11(x11832,f30(x11832,x11833,x11831),x11831),x11831)
% 1.08/1.20 [1262]~P9(x12623)+~P3(f10(x12623),x12621,x12623)+P3(f30(x12621,x12622,x12623),f11(x12621,f30(x12621,x12622,x12623),x12623),x12623)
% 1.08/1.20 [1284]~P56(x12842)+E(x12841,f3(x12842))+P3(f3(x12842),f9(f11(x12843,x12843,x12842),f11(x12841,x12841,x12842),x12842),x12842)
% 1.08/1.20 [1285]~P56(x12852)+E(x12851,f3(x12852))+P3(f3(x12852),f9(f11(x12851,x12851,x12852),f11(x12853,x12853,x12852),x12852),x12852)
% 1.08/1.20 [1345]~P56(x13452)+E(x13451,f3(x13452))+~P4(f9(f11(x13453,x13453,x13452),f11(x13451,x13451,x13452),x13452),f3(x13452),x13452)
% 1.08/1.20 [1346]~P56(x13462)+E(x13461,f3(x13462))+~P4(f9(f11(x13461,x13461,x13462),f11(x13463,x13463,x13462),x13462),f3(x13462),x13462)
% 1.08/1.20 [961]~P48(x9611)+~P44(x9611)+E(f30(f8(f10(x9611),x9612,x9611),x9613,x9611),f8(f10(x9611),f30(x9612,x9613,x9611),x9611))
% 1.08/1.20 [1188]~P9(x11881)+~P3(f10(x11881),x11882,x11881)+P3(f10(x11881),f30(x11882,f9(x11883,f10(a2),a2),x11881),x11881)
% 1.08/1.20 [1315]~P55(x13153)+~P3(x13151,x13152,x13153)+P3(x13151,f8(f9(x13151,x13152,x13153),f9(f10(x13153),f10(x13153),x13153),x13153),x13153)
% 1.08/1.20 [1316]~P55(x13163)+~P3(x13161,x13162,x13163)+P3(f8(f9(x13161,x13162,x13163),f9(f10(x13163),f10(x13163),x13163),x13163),x13162,x13163)
% 1.08/1.20 [607]~P20(x6074)+E(x6071,x6072)+~E(f9(x6073,x6071,x6074),f9(x6073,x6072,x6074))
% 1.08/1.20 [608]~P23(x6084)+E(x6081,x6082)+~E(f9(x6083,x6081,x6084),f9(x6083,x6082,x6084))
% 1.08/1.20 [609]~P19(x6094)+E(x6091,x6092)+~E(f4(x6093,x6093,x6094),f4(x6091,x6092,x6094))
% 1.08/1.20 [610]~P23(x6104)+E(x6101,x6102)+~E(f9(x6101,x6103,x6104),f9(x6102,x6103,x6104))
% 1.08/1.20 [611]~P19(x6113)+E(x6111,x6112)+~E(f4(x6111,x6112,x6113),f4(x6114,x6114,x6113))
% 1.08/1.20 [779]~P11(x7794)+~P4(x7791,x7793,x7794)+P4(x7791,f28(x7792,x7793,x7794),x7794)
% 1.08/1.20 [781]~P11(x7814)+~P4(x7811,x7812,x7814)+P4(x7811,f28(x7812,x7813,x7814),x7814)
% 1.08/1.20 [783]~P11(x7834)+~P3(x7831,x7833,x7834)+P3(x7831,f28(x7832,x7833,x7834),x7834)
% 1.08/1.20 [785]~P11(x7854)+~P3(x7851,x7852,x7854)+P3(x7851,f28(x7852,x7853,x7854),x7854)
% 1.08/1.20 [786]~P38(x7864)+~P6(x7861,x7863,x7864)+P6(x7861,f11(x7862,x7863,x7864),x7864)
% 1.08/1.20 [787]~P38(x7874)+~P6(x7871,x7872,x7874)+P6(x7871,f11(x7872,x7873,x7874),x7874)
% 1.08/1.20 [789]~P11(x7893)+~P4(x7892,x7894,x7893)+P4(f29(x7891,x7892,x7893),x7894,x7893)
% 1.08/1.20 [791]~P11(x7913)+~P4(x7911,x7914,x7913)+P4(f29(x7911,x7912,x7913),x7914,x7913)
% 1.08/1.20 [793]~P11(x7933)+~P3(x7932,x7934,x7933)+P3(f29(x7931,x7932,x7933),x7934,x7933)
% 1.08/1.20 [795]~P11(x7953)+~P3(x7951,x7954,x7953)+P3(f29(x7951,x7952,x7953),x7954,x7953)
% 1.08/1.20 [845]~P3(x8454,x8453,a2)+P3(x8451,x8452,a2)+~E(f9(x8451,x8453,a2),f9(x8454,x8452,a2))
% 1.08/1.20 [863]~P11(x8633)+P4(x8631,x8632,x8633)+~P4(x8631,f29(x8634,x8632,x8633),x8633)
% 1.08/1.20 [865]~P11(x8653)+P4(x8651,x8652,x8653)+~P4(x8651,f29(x8652,x8654,x8653),x8653)
% 1.08/1.20 [866]~P11(x8663)+P3(x8661,x8662,x8663)+~P3(x8661,f29(x8664,x8662,x8663),x8663)
% 1.08/1.20 [867]~P11(x8673)+P3(x8671,x8672,x8673)+~P3(x8671,f29(x8672,x8674,x8673),x8673)
% 1.08/1.20 [869]~P11(x8693)+P4(x8691,x8692,x8693)+~P4(f28(x8694,x8691,x8693),x8692,x8693)
% 1.08/1.20 [871]~P11(x8713)+P4(x8711,x8712,x8713)+~P4(f28(x8711,x8714,x8713),x8712,x8713)
% 1.08/1.20 [872]~P11(x8723)+P3(x8721,x8722,x8723)+~P3(f28(x8724,x8721,x8723),x8722,x8723)
% 1.08/1.20 [873]~P11(x8733)+P3(x8731,x8732,x8733)+~P3(f28(x8731,x8734,x8733),x8732,x8733)
% 1.08/1.20 [874]~P38(x8743)+P6(x8741,x8742,x8743)+~P6(f11(x8744,x8741,x8743),x8742,x8743)
% 1.08/1.20 [875]~P38(x8753)+P6(x8751,x8752,x8753)+~P6(f11(x8751,x8754,x8753),x8752,x8753)
% 1.08/1.20 [973]~P38(x9733)+~P4(x9732,x9734,a2)+P6(f30(x9731,x9732,x9733),f30(x9731,x9734,x9733),x9733)
% 1.08/1.20 [975]~P13(x9753)+~P4(x9751,x9754,x9753)+P4(f9(x9751,x9752,x9753),f9(x9754,x9752,x9753),x9753)
% 1.08/1.20 [976]~P30(x9763)+~P4(x9761,x9764,x9763)+P4(f9(x9761,x9762,x9763),f9(x9764,x9762,x9763),x9763)
% 1.08/1.20 [977]~P13(x9773)+~P4(x9772,x9774,x9773)+P4(f9(x9771,x9772,x9773),f9(x9771,x9774,x9773),x9773)
% 1.08/1.20 [978]~P30(x9783)+~P4(x9782,x9784,x9783)+P4(f9(x9781,x9782,x9783),f9(x9781,x9784,x9783),x9783)
% 1.08/1.20 [979]~P13(x9793)+~P3(x9791,x9794,x9793)+P3(f9(x9791,x9792,x9793),f9(x9794,x9792,x9793),x9793)
% 1.08/1.20 [980]~P35(x9803)+~P3(x9801,x9804,x9803)+P3(f9(x9801,x9802,x9803),f9(x9804,x9802,x9803),x9803)
% 1.08/1.20 [981]~P13(x9813)+~P3(x9812,x9814,x9813)+P3(f9(x9811,x9812,x9813),f9(x9811,x9814,x9813),x9813)
% 1.08/1.20 [982]~P35(x9823)+~P3(x9822,x9824,x9823)+P3(f9(x9821,x9822,x9823),f9(x9821,x9824,x9823),x9823)
% 1.08/1.20 [983]~P49(x9833)+~P6(x9831,x9834,x9833)+P6(f11(x9831,x9832,x9833),f11(x9834,x9832,x9833),x9833)
% 1.08/1.20 [984]~P49(x9843)+~P6(x9842,x9844,x9843)+P6(f11(x9841,x9842,x9843),f11(x9841,x9844,x9843),x9843)
% 1.08/1.20 [985]~P38(x9853)+~P6(x9851,x9854,x9853)+P6(f30(x9851,x9852,x9853),f30(x9854,x9852,x9853),x9853)
% 1.08/1.20 [1085]~P4(x10852,x10854,a2)+~P4(x10851,x10853,a2)+P4(f11(x10851,x10852,a2),f11(x10853,x10854,a2),a2)
% 1.08/1.20 [1086]~P4(x10862,x10864,a2)+~P4(x10861,x10863,a2)+P4(f9(x10861,x10862,a2),f9(x10863,x10864,a2),a2)
% 1.08/1.20 [1087]~P3(x10872,x10874,a2)+~P3(x10871,x10873,a2)+P3(f9(x10871,x10872,a2),f9(x10873,x10874,a2),a2)
% 1.08/1.20 [1179]~P13(x11793)+P4(x11791,x11792,x11793)+~P4(f9(x11794,x11791,x11793),f9(x11794,x11792,x11793),x11793)
% 1.08/1.20 [1180]~P13(x11803)+P4(x11801,x11802,x11803)+~P4(f9(x11801,x11804,x11803),f9(x11802,x11804,x11803),x11803)
% 1.08/1.20 [1181]~P13(x11813)+P3(x11811,x11812,x11813)+~P3(f9(x11814,x11811,x11813),f9(x11814,x11812,x11813),x11813)
% 1.08/1.20 [1182]~P13(x11823)+P3(x11821,x11822,x11823)+~P3(f9(x11821,x11824,x11823),f9(x11822,x11824,x11823),x11823)
% 1.08/1.20 [817]~P19(x8173)+E(x8171,f13(x8172,x8173))+~E(f9(x8171,f9(x8174,x8172,x8173),x8173),x8174)
% 1.08/1.20 [851]~P1(x8513)+~P6(x8514,x8512,x8513)+E(f7(f7(x8511,x8512,x8513),x8514,x8513),f7(x8511,x8514,x8513))
% 1.08/1.20 [926]~P48(x9263)+~P44(x9263)+E(f8(f11(x9261,x9262,x9263),x9264,x9263),f11(f8(x9261,x9264,x9263),x9262,x9263))
% 1.08/1.20 [929]~P7(x9292)+~E(f7(x9291,x9293,x9292),f7(x9294,x9293,x9292))+E(f7(f13(x9291,x9292),x9293,x9292),f7(f13(x9294,x9292),x9293,x9292))
% 1.08/1.20 [1123]~P48(x11232)+E(x11231,f3(x11232))+E(f8(f30(x11233,x11234,x11232),f30(x11231,x11234,x11232),x11232),f30(f8(x11233,x11231,x11232),x11234,x11232))
% 1.08/1.20 [1124]~P48(x11243)+~P44(x11243)+E(f8(f30(x11241,x11242,x11243),f30(x11244,x11242,x11243),x11243),f30(f8(x11241,x11244,x11243),x11242,x11243))
% 1.08/1.20 [1174]~P29(x11744)+~P4(f9(x11741,x11743,x11744),x11742,x11744)+P4(x11741,f9(x11742,f6(x11743,x11744),x11744),x11744)
% 1.08/1.20 [1189]E(x11891,x11892)+E(x11893,f3(a2))+~E(f9(x11894,f11(x11893,x11891,a2),a2),f9(x11894,f11(x11893,x11892,a2),a2))
% 1.08/1.20 [1233]~P49(x12333)+~P17(x12333)+E(f9(f11(x12331,x12332,x12333),f11(x12331,x12334,x12333),x12333),f9(f11(x12331,x12334,x12333),f11(x12331,x12332,x12333),x12333))
% 1.08/1.20 [1334]E(x13341,x13342)+E(x13343,x13344)+~E(f9(f11(x13343,x13341,a2),f11(x13344,x13342,a2),a2),f9(f11(x13343,x13342,a2),f11(x13344,x13341,a2),a2))
% 1.08/1.20 [596]E(x5961,x5962)+~E(f23(x5963,x5961,x5964),f23(x5965,x5962,x5964))+E(x5963,f3(a2))
% 1.08/1.20 [1070]~P19(x10703)+E(f9(x10701,x10702,x10703),x10704)+~E(f9(x10701,f9(x10705,x10702,x10703),x10703),f9(x10705,x10704,x10703))
% 1.08/1.20 [1231]~P48(x12313)+~P44(x12313)+E(f8(f11(x12311,x12312,x12313),f11(x12314,x12315,x12313),x12313),f11(f8(x12311,x12314,x12313),f8(x12312,x12315,x12313),x12313))
% 1.08/1.20 [1342]~P4(x13423,x13422,a2)+~E(f9(f11(x13423,x13424,a2),x13421,a2),f9(f11(x13422,x13424,a2),x13425,a2))+E(x13421,f9(f11(f4(x13422,x13423,a2),x13424,a2),x13425,a2))
% 1.08/1.20 [1343]~P4(x13432,x13431,a2)+~E(f9(f11(x13431,x13433,a2),x13434,a2),f9(f11(x13432,x13433,a2),x13435,a2))+E(f9(f11(f4(x13431,x13432,a2),x13433,a2),x13434,a2),x13435)
% 1.08/1.20 [1366]~P4(x13663,x13662,a2)+~P4(f9(f11(x13663,x13664,a2),x13661,a2),f9(f11(x13662,x13664,a2),x13665,a2),a2)+P4(x13661,f9(f11(f4(x13662,x13663,a2),x13664,a2),x13665,a2),a2)
% 1.08/1.20 [1367]~P4(x13673,x13672,a2)+~P3(f9(f11(x13673,x13674,a2),x13671,a2),f9(f11(x13672,x13674,a2),x13675,a2),a2)+P3(x13671,f9(f11(f4(x13672,x13673,a2),x13674,a2),x13675,a2),a2)
% 1.08/1.20 [1368]~P4(x13682,x13681,a2)+~P4(f9(f11(x13681,x13683,a2),x13684,a2),f9(f11(x13682,x13683,a2),x13685,a2),a2)+P4(f9(f11(f4(x13681,x13682,a2),x13683,a2),x13684,a2),x13685,a2)
% 1.08/1.20 [1369]~P4(x13692,x13691,a2)+~P3(f9(f11(x13691,x13693,a2),x13694,a2),f9(f11(x13692,x13693,a2),x13695,a2),a2)+P3(f9(f11(f4(x13691,x13692,a2),x13693,a2),x13694,a2),x13695,a2)
% 1.08/1.20 [1374]~P4(x13741,x13744,a2)+P4(f9(f11(x13741,x13742,a2),x13743,a2),f9(f11(x13744,x13742,a2),x13745,a2),a2)+~P4(x13743,f9(f11(f4(x13744,x13741,a2),x13742,a2),x13745,a2),a2)
% 1.08/1.20 [1375]~P4(x13751,x13754,a2)+P3(f9(f11(x13751,x13752,a2),x13753,a2),f9(f11(x13754,x13752,a2),x13755,a2),a2)+~P3(x13753,f9(f11(f4(x13754,x13751,a2),x13752,a2),x13755,a2),a2)
% 1.08/1.20 [1376]~P4(x13764,x13761,a2)+P4(f9(f11(x13761,x13762,a2),x13763,a2),f9(f11(x13764,x13762,a2),x13765,a2),a2)+~P4(f9(f11(f4(x13761,x13764,a2),x13762,a2),x13763,a2),x13765,a2)
% 1.08/1.20 [1377]~P4(x13774,x13771,a2)+P3(f9(f11(x13771,x13772,a2),x13773,a2),f9(f11(x13774,x13772,a2),x13775,a2),a2)+~P3(f9(f11(f4(x13771,x13774,a2),x13772,a2),x13773,a2),x13775,a2)
% 1.08/1.20 [1338]~P66(x13384)+~E(f9(f11(x13383,x13385,x13384),x13381,x13384),f9(f11(x13382,x13385,x13384),x13386,x13384))+E(x13381,f9(f11(f4(x13382,x13383,x13384),x13385,x13384),x13386,x13384))
% 1.08/1.20 [1339]~P66(x13393)+~E(f9(f11(x13391,x13394,x13393),x13395,x13393),f9(f11(x13392,x13394,x13393),x13396,x13393))+E(f9(f11(f4(x13391,x13392,x13393),x13394,x13393),x13395,x13393),x13396)
% 1.08/1.20 [1362]~P62(x13624)+~P4(f9(f11(x13623,x13625,x13624),x13621,x13624),f9(f11(x13622,x13625,x13624),x13626,x13624),x13624)+P4(x13621,f9(f11(f4(x13622,x13623,x13624),x13625,x13624),x13626,x13624),x13624)
% 1.08/1.20 [1363]~P62(x13634)+~P3(f9(f11(x13633,x13635,x13634),x13631,x13634),f9(f11(x13632,x13635,x13634),x13636,x13634),x13634)+P3(x13631,f9(f11(f4(x13632,x13633,x13634),x13635,x13634),x13636,x13634),x13634)
% 1.08/1.20 [1364]~P62(x13643)+~P4(f9(f11(x13641,x13644,x13643),x13645,x13643),f9(f11(x13642,x13644,x13643),x13646,x13643),x13643)+P4(f9(f11(f4(x13641,x13642,x13643),x13644,x13643),x13645,x13643),x13646,x13643)
% 1.08/1.20 [1365]~P62(x13653)+~P3(f9(f11(x13651,x13654,x13653),x13655,x13653),f9(f11(x13652,x13654,x13653),x13656,x13653),x13653)+P3(f9(f11(f4(x13651,x13652,x13653),x13654,x13653),x13655,x13653),x13656,x13653)
% 1.08/1.20 [1370]~P62(x13703)+P4(f9(f11(x13701,x13702,x13703),x13704,x13703),f9(f11(x13705,x13702,x13703),x13706,x13703),x13703)+~P4(x13704,f9(f11(f4(x13705,x13701,x13703),x13702,x13703),x13706,x13703),x13703)
% 1.08/1.20 [1371]~P62(x13713)+P3(f9(f11(x13711,x13712,x13713),x13714,x13713),f9(f11(x13715,x13712,x13713),x13716,x13713),x13713)+~P3(x13714,f9(f11(f4(x13715,x13711,x13713),x13712,x13713),x13716,x13713),x13713)
% 1.08/1.20 [1372]~P62(x13723)+P4(f9(f11(x13721,x13722,x13723),x13724,x13723),f9(f11(x13725,x13722,x13723),x13726,x13723),x13723)+~P4(f9(f11(f4(x13721,x13725,x13723),x13722,x13723),x13724,x13723),x13726,x13723)
% 1.08/1.20 [1373]~P62(x13733)+P3(f9(f11(x13731,x13732,x13733),x13734,x13733),f9(f11(x13735,x13732,x13733),x13736,x13733),x13733)+~P3(f9(f11(f4(x13731,x13735,x13733),x13732,x13733),x13734,x13733),x13736,x13733)
% 1.08/1.20 [344]~P48(x3442)+~P44(x3442)+~E(f5(x3441,x3442),f10(x3442))+E(x3441,f10(x3442))
% 1.08/1.20 [428]~P11(x4282)+~P29(x4282)+P3(x4281,f3(x4282),x4282)+E(f6(x4281,x4282),x4281)
% 1.08/1.20 [515]~P70(x5152)+~P3(f3(x5152),x5151,x5152)+E(f12(x5151,x5152),f10(x5152))+E(x5151,f3(x5152))
% 1.08/1.20 [523]~P11(x5232)+~P29(x5232)+~P3(x5231,f3(x5232),x5232)+E(f6(x5231,x5232),f13(x5231,x5232))
% 1.08/1.20 [659]~P55(x6591)+~P44(x6591)+~P4(f3(x6591),x6592,x6591)+P4(f3(x6591),f5(x6592,x6591),x6591)
% 1.08/1.20 [661]~P55(x6612)+~P44(x6612)+~P4(x6611,f3(x6612),x6612)+P4(f5(x6611,x6612),f3(x6612),x6612)
% 1.08/1.20 [662]~P55(x6622)+~P44(x6622)+~P4(x6621,f3(x6622),x6622)+P4(f5(x6621,x6622),f10(x6622),x6622)
% 1.08/1.20 [664]~P55(x6642)+~P44(x6642)+~P4(x6641,f3(x6642),x6642)+P3(f5(x6641,x6642),f10(x6642),x6642)
% 1.08/1.20 [665]~P55(x6652)+~P44(x6652)+~P4(f10(x6652),x6651,x6652)+P4(f5(x6651,x6652),f10(x6652),x6652)
% 1.08/1.20 [666]~P55(x6662)+~P44(x6662)+~P3(f10(x6662),x6661,x6662)+P3(f5(x6661,x6662),f10(x6662),x6662)
% 1.08/1.20 [684]~P55(x6842)+~P3(f5(x6841,x6842),f3(x6842),x6842)+P3(x6841,f3(x6842),x6842)+E(x6841,f3(x6842))
% 1.08/1.20 [685]~P55(x6852)+~P3(f3(x6852),f5(x6851,x6852),x6852)+P3(f3(x6852),x6851,x6852)+E(x6851,f3(x6852))
% 1.08/1.20 [687]~P55(x6872)+~P44(x6872)+~P4(f10(x6872),f5(x6871,x6872),x6872)+P4(x6871,f10(x6872),x6872)
% 1.08/1.20 [688]~P55(x6882)+~P44(x6882)+~P3(f10(x6882),f5(x6881,x6882),x6882)+P3(x6881,f10(x6882),x6882)
% 1.08/1.20 [689]~P55(x6892)+~P44(x6892)+~P4(f5(x6891,x6892),f3(x6892),x6892)+P4(x6891,f3(x6892),x6892)
% 1.08/1.20 [690]~P55(x6902)+~P44(x6902)+~P3(f5(x6901,x6902),f3(x6902),x6902)+P3(x6901,f3(x6902),x6902)
% 1.08/1.20 [691]~P55(x6911)+~P44(x6911)+~P4(f3(x6911),f5(x6912,x6911),x6911)+P4(f3(x6911),x6912,x6911)
% 1.08/1.20 [692]~P55(x6921)+~P44(x6921)+~P4(f10(x6921),f5(x6922,x6921),x6921)+P3(f3(x6921),x6922,x6921)
% 1.08/1.20 [693]~P55(x6931)+~P44(x6931)+~P3(f3(x6931),f5(x6932,x6931),x6931)+P3(f3(x6931),x6932,x6931)
% 1.08/1.20 [694]~P55(x6941)+~P44(x6941)+~P3(f10(x6941),f5(x6942,x6941),x6941)+P3(f3(x6941),x6942,x6941)
% 1.08/1.20 [417]~P58(x4172)+~P10(x4172)+E(x4171,f3(a2))+E(f30(f3(x4172),x4171,x4172),f3(x4172))
% 1.08/1.20 [471]~P70(x4712)+P3(f3(x4712),x4711,x4712)+E(x4711,f3(x4712))+E(f12(x4711,x4712),f13(f10(x4712),x4712))
% 1.08/1.20 [819]~P55(x8191)+~P44(x8191)+~P4(f3(x8191),x8192,x8191)+P4(f3(x8191),f8(f10(x8191),x8192,x8191),x8191)
% 1.08/1.20 [820]~P55(x8201)+~P44(x8201)+~P3(f3(x8201),x8202,x8201)+P3(f3(x8201),f8(f10(x8201),x8202,x8201),x8201)
% 1.08/1.20 [821]~P55(x8211)+~P44(x8211)+~P4(x8212,f3(x8211),x8211)+P4(f8(f10(x8211),x8212,x8211),f3(x8211),x8211)
% 1.08/1.20 [822]~P55(x8221)+~P44(x8221)+~P3(x8222,f3(x8221),x8221)+P3(f8(f10(x8221),x8222,x8221),f3(x8221),x8221)
% 1.08/1.20 [965]~P55(x9652)+~P44(x9652)+P4(x9651,f3(x9652),x9652)+~P4(f8(f10(x9652),x9651,x9652),f3(x9652),x9652)
% 1.08/1.20 [966]~P55(x9662)+~P44(x9662)+P3(x9661,f3(x9662),x9662)+~P3(f8(f10(x9662),x9661,x9662),f3(x9662),x9662)
% 1.08/1.20 [967]~P55(x9671)+~P44(x9671)+P4(f3(x9671),x9672,x9671)+~P4(f3(x9671),f8(f10(x9671),x9672,x9671),x9671)
% 1.08/1.20 [968]~P55(x9681)+~P44(x9681)+P3(f3(x9681),x9682,x9681)+~P3(f3(x9681),f8(f10(x9681),x9682,x9681),x9681)
% 1.08/1.20 [507]P3(x5071,x5072,x5073)+~P11(x5073)+E(x5071,x5072)+P3(x5072,x5071,x5073)
% 1.08/1.20 [508]P3(x5081,x5082,x5083)+~P54(x5083)+E(x5081,x5082)+P3(x5082,x5081,x5083)
% 1.08/1.20 [551]~P11(x5513)+~P4(x5511,x5512,x5513)+E(x5511,x5512)+P3(x5511,x5512,x5513)
% 1.08/1.20 [557]~P37(x5573)+~P4(x5571,x5572,x5573)+E(x5571,x5572)+P3(x5571,x5572,x5573)
% 1.08/1.20 [615]~P4(x6152,x6151,x6153)+~P4(x6151,x6152,x6153)+E(x6151,x6152)+~P37(x6153)
% 1.08/1.20 [673]P3(x6732,x6731,x6733)+~P36(x6733)+~P4(x6732,x6731,x6733)+P4(x6731,x6732,x6733)
% 1.08/1.20 [353]~P44(x3533)+~P45(x3533)+E(x3531,x3532)+~E(f5(x3531,x3533),f5(x3532,x3533))
% 1.08/1.20 [469]~P48(x4693)+E(x4691,x4692)+~E(f8(x4691,x4692,x4693),f10(x4693))+E(x4692,f3(x4693))
% 1.08/1.20 [470]~P49(x4702)+~P17(x4702)+~E(f9(x4703,x4701,x4702),x4703)+E(x4701,f3(x4702))
% 1.08/1.20 [474]~P49(x4743)+~P17(x4743)+E(x4741,x4742)+~E(f4(x4741,x4742,x4743),f3(x4743))
% 1.08/1.20 [478]~P52(x4782)+~E(f11(x4783,x4781,x4782),f3(x4782))+E(x4781,f3(x4782))+E(x4783,f3(x4782))
% 1.08/1.20 [479]~P64(x4792)+~E(f11(x4793,x4791,x4792),f3(x4792))+E(x4791,f3(x4792))+E(x4793,f3(x4792))
% 1.08/1.20 [658]~P49(x6583)+E(x6581,x6582)+~E(f11(x6581,x6581,x6583),f11(x6582,x6582,x6583))+E(x6581,f13(x6582,x6583))
% 1.08/1.20 [825]~P55(x8252)+~P4(x8253,x8251,x8252)+~P3(x8251,f3(x8252),x8252)+P4(f5(x8251,x8252),f5(x8253,x8252),x8252)
% 1.08/1.20 [826]~P55(x8262)+~P3(x8263,x8261,x8262)+~P3(x8261,f3(x8262),x8262)+P3(f5(x8261,x8262),f5(x8263,x8262),x8262)
% 1.08/1.20 [827]~P55(x8272)+~P4(x8273,x8271,x8272)+~P3(f3(x8272),x8273,x8272)+P4(f5(x8271,x8272),f5(x8273,x8272),x8272)
% 1.08/1.20 [828]~P55(x8282)+~P3(x8283,x8281,x8282)+~P3(f3(x8282),x8283,x8282)+P3(f5(x8281,x8282),f5(x8283,x8282),x8282)
% 1.08/1.20 [842]~P31(x8422)+~P4(x8421,x8423,x8422)+~P4(f13(x8421,x8422),x8423,x8422)+P4(f6(x8421,x8422),x8423,x8422)
% 1.08/1.20 [843]~P54(x8432)+~P3(x8431,x8433,x8432)+~P3(f13(x8431,x8432),x8433,x8432)+P3(f6(x8431,x8432),x8433,x8432)
% 1.08/1.20 [884]~P55(x8843)+P4(x8841,x8842,x8843)+~P3(x8841,f3(x8843),x8843)+~P4(f5(x8842,x8843),f5(x8841,x8843),x8843)
% 1.08/1.20 [885]~P55(x8853)+P3(x8851,x8852,x8853)+~P3(x8851,f3(x8853),x8853)+~P3(f5(x8852,x8853),f5(x8851,x8853),x8853)
% 1.08/1.20 [886]~P55(x8863)+P4(x8861,x8862,x8863)+~P3(f3(x8863),x8862,x8863)+~P4(f5(x8862,x8863),f5(x8861,x8863),x8863)
% 1.08/1.20 [887]~P55(x8873)+P3(x8871,x8872,x8873)+~P3(f3(x8873),x8872,x8873)+~P3(f5(x8872,x8873),f5(x8871,x8873),x8873)
% 1.08/1.20 [925]E(x9251,x9252)+~P4(x9253,x9252,a2)+~P4(x9253,x9251,a2)+~E(f4(x9251,x9253,a2),f4(x9252,x9253,a2))
% 1.08/1.20 [974]~P9(x9741)+~P3(f10(x9741),x9742,x9741)+P3(f10(x9741),f30(x9742,x9743,x9741),x9741)+~P3(f3(a2),x9743,a2)
% 1.08/1.20 [987]~P55(x9871)+~P4(x9872,f3(x9871),x9871)+~P3(x9873,f3(x9871),x9871)+P4(f3(x9871),f8(x9872,x9873,x9871),x9871)
% 1.08/1.20 [989]~P62(x9891)+~P4(x9893,f3(x9891),x9891)+~P4(x9892,f3(x9891),x9891)+P4(f3(x9891),f11(x9892,x9893,x9891),x9891)
% 1.08/1.20 [990]~P56(x9901)+~P4(x9903,f3(x9901),x9901)+~P4(x9902,f3(x9901),x9901)+P4(f3(x9901),f11(x9902,x9903,x9901),x9901)
% 1.08/1.20 [991]~P55(x9911)+~P3(x9913,f3(x9911),x9911)+~P3(x9912,f3(x9911),x9911)+P3(f3(x9911),f8(x9912,x9913,x9911),x9911)
% 1.08/1.20 [992]~P56(x9921)+~P3(x9923,f3(x9921),x9921)+~P3(x9922,f3(x9921),x9921)+P3(f3(x9921),f11(x9922,x9923,x9921),x9921)
% 1.08/1.20 [993]~P55(x9931)+~P4(f3(x9931),x9932,x9931)+~P3(f3(x9931),x9933,x9931)+P4(f3(x9931),f8(x9932,x9933,x9931),x9931)
% 1.08/1.20 [994]~P62(x9941)+~P4(f3(x9941),x9943,x9941)+~P4(f3(x9941),x9942,x9941)+P4(f3(x9941),f11(x9942,x9943,x9941),x9941)
% 1.08/1.20 [995]~P56(x9951)+~P4(f3(x9951),x9953,x9951)+~P4(f3(x9951),x9952,x9951)+P4(f3(x9951),f11(x9952,x9953,x9951),x9951)
% 1.08/1.20 [996]~P60(x9961)+~P4(f3(x9961),x9963,x9961)+~P4(f3(x9961),x9962,x9961)+P4(f3(x9961),f11(x9962,x9963,x9961),x9961)
% 1.08/1.20 [997]~P34(x9971)+~P4(f3(x9971),x9973,x9971)+~P4(f3(x9971),x9972,x9971)+P4(f3(x9971),f9(x9972,x9973,x9971),x9971)
% 1.08/1.20 [998]~P55(x9981)+~P3(f3(x9981),x9983,x9981)+~P3(f3(x9981),x9982,x9981)+P3(f3(x9981),f8(x9982,x9983,x9981),x9981)
% 1.08/1.20 [999]~P8(x9991)+~P3(f3(x9991),x9993,x9991)+~P3(f3(x9991),x9992,x9991)+P3(f3(x9991),f11(x9992,x9993,x9991),x9991)
% 1.08/1.20 [1000]~P34(x10001)+~P4(f3(x10001),x10003,x10001)+~P3(f3(x10001),x10002,x10001)+P3(f3(x10001),f9(x10002,x10003,x10001),x10001)
% 1.08/1.20 [1001]~P34(x10011)+~P4(f3(x10011),x10012,x10011)+~P3(f3(x10011),x10013,x10011)+P3(f3(x10011),f9(x10012,x10013,x10011),x10011)
% 1.08/1.20 [1002]~P34(x10021)+~P3(f3(x10021),x10023,x10021)+~P3(f3(x10021),x10022,x10021)+P3(f3(x10021),f9(x10022,x10023,x10021),x10021)
% 1.08/1.20 [1003]~P9(x10031)+~P3(f10(x10031),x10033,x10031)+~P3(f10(x10031),x10032,x10031)+P3(f10(x10031),f11(x10032,x10033,x10031),x10031)
% 1.08/1.20 [1004]~P34(x10043)+~P4(x10042,f3(x10043),x10043)+~P4(x10041,f3(x10043),x10043)+P4(f9(x10041,x10042,x10043),f3(x10043),x10043)
% 1.08/1.20 [1005]~P34(x10053)+~P4(x10052,f3(x10053),x10053)+~P3(x10051,f3(x10053),x10053)+P3(f9(x10051,x10052,x10053),f3(x10053),x10053)
% 1.08/1.20 [1006]~P34(x10063)+~P4(x10061,f3(x10063),x10063)+~P3(x10062,f3(x10063),x10063)+P3(f9(x10061,x10062,x10063),f3(x10063),x10063)
% 1.08/1.20 [1007]~P34(x10073)+~P3(x10072,f3(x10073),x10073)+~P3(x10071,f3(x10073),x10073)+P3(f9(x10071,x10072,x10073),f3(x10073),x10073)
% 1.08/1.20 [1008]~P55(x10083)+~P4(x10081,f3(x10083),x10083)+~P3(f3(x10083),x10082,x10083)+P4(f8(x10081,x10082,x10083),f3(x10083),x10083)
% 1.08/1.20 [1009]~P55(x10093)+~P3(x10092,f3(x10093),x10093)+~P4(f3(x10093),x10091,x10093)+P4(f8(x10091,x10092,x10093),f3(x10093),x10093)
% 1.08/1.20 [1010]~P56(x10103)+~P4(x10102,f3(x10103),x10103)+~P4(f3(x10103),x10101,x10103)+P4(f11(x10101,x10102,x10103),f3(x10103),x10103)
% 1.08/1.20 [1011]~P56(x10113)+~P4(x10111,f3(x10113),x10113)+~P4(f3(x10113),x10112,x10113)+P4(f11(x10111,x10112,x10113),f3(x10113),x10113)
% 1.08/1.20 [1013]~P60(x10133)+~P4(x10132,f3(x10133),x10133)+~P4(f3(x10133),x10131,x10133)+P4(f11(x10131,x10132,x10133),f3(x10133),x10133)
% 1.08/1.20 [1016]~P60(x10163)+~P4(x10161,f3(x10163),x10163)+~P4(f3(x10163),x10162,x10163)+P4(f11(x10161,x10162,x10163),f3(x10163),x10163)
% 1.08/1.20 [1017]~P55(x10173)+~P3(x10172,f3(x10173),x10173)+~P3(f3(x10173),x10171,x10173)+P3(f8(x10171,x10172,x10173),f3(x10173),x10173)
% 1.08/1.20 [1018]~P55(x10183)+~P3(x10181,f3(x10183),x10183)+~P3(f3(x10183),x10182,x10183)+P3(f8(x10181,x10182,x10183),f3(x10183),x10183)
% 1.08/1.20 [1019]~P8(x10193)+~P3(x10192,f3(x10193),x10193)+~P3(f3(x10193),x10191,x10193)+P3(f11(x10191,x10192,x10193),f3(x10193),x10193)
% 1.08/1.20 [1021]~P8(x10213)+~P3(x10211,f3(x10213),x10213)+~P3(f3(x10213),x10212,x10213)+P3(f11(x10211,x10212,x10213),f3(x10213),x10213)
% 1.08/1.20 [1037]~P56(x10372)+~P4(f11(x10373,x10371,x10372),f3(x10372),x10372)+P4(x10371,f3(x10372),x10372)+P4(x10373,f3(x10372),x10372)
% 1.08/1.20 [1038]~P56(x10382)+~P4(f3(x10382),f11(x10383,x10381,x10382),x10382)+P4(x10381,f3(x10382),x10382)+P4(f3(x10382),x10383,x10382)
% 1.08/1.20 [1039]~P56(x10392)+~P4(f3(x10392),f11(x10391,x10393,x10392),x10392)+P4(x10391,f3(x10392),x10392)+P4(f3(x10392),x10393,x10392)
% 1.08/1.20 [1040]~P56(x10402)+~P4(f3(x10402),f11(x10403,x10401,x10402),x10402)+P4(x10401,f3(x10402),x10402)+P4(f3(x10402),x10401,x10402)
% 1.08/1.20 [1041]~P56(x10412)+~P4(f3(x10412),f11(x10411,x10413,x10412),x10412)+P4(x10411,f3(x10412),x10412)+P4(f3(x10412),x10411,x10412)
% 1.08/1.20 [1042]~P56(x10422)+~P4(f11(x10423,x10421,x10422),f3(x10422),x10422)+P4(x10421,f3(x10422),x10422)+P4(f3(x10422),x10421,x10422)
% 1.08/1.20 [1043]~P56(x10432)+~P4(f11(x10431,x10433,x10432),f3(x10432),x10432)+P4(x10431,f3(x10432),x10432)+P4(f3(x10432),x10431,x10432)
% 1.08/1.20 [1044]~P56(x10441)+~P4(f11(x10442,x10443,x10441),f3(x10441),x10441)+P4(f3(x10441),x10442,x10441)+P4(f3(x10441),x10443,x10441)
% 1.08/1.20 [1083]~P8(x10831)+~P3(f3(x10831),f11(x10833,x10832,x10831),x10831)+P3(f3(x10831),x10832,x10831)+~P3(f3(x10831),x10833,x10831)
% 1.08/1.20 [1084]~P8(x10841)+~P3(f3(x10841),f11(x10842,x10843,x10841),x10841)+P3(f3(x10841),x10842,x10841)+~P3(f3(x10841),x10843,x10841)
% 1.08/1.20 [1286]~P4(x12863,x12861,a2)+P4(x12861,x12862,a2)+~P4(x12863,x12862,a2)+~P4(f4(x12861,x12863,a2),f4(x12862,x12863,a2),a2)
% 1.08/1.20 [1287]~P4(x12873,x12871,a2)+P3(x12871,x12872,a2)+~P4(x12873,x12872,a2)+~P3(f4(x12871,x12873,a2),f4(x12872,x12873,a2),a2)
% 1.08/1.20 [619]~P48(x6192)+~P44(x6192)+E(x6191,f3(x6192))+E(f11(f8(x6193,x6191,x6192),x6191,x6192),x6193)
% 1.08/1.20 [766]~P45(x7662)+E(x7661,f3(x7662))+E(x7663,f3(x7662))+E(f11(f5(x7661,x7662),f5(x7663,x7662),x7662),f5(f11(x7663,x7661,x7662),x7662))
% 1.08/1.20 [857]~P55(x8572)+~P44(x8572)+~P3(f3(x8572),x8573,x8572)+E(f8(f6(x8571,x8572),x8573,x8572),f6(f8(x8571,x8573,x8572),x8572))
% 1.08/1.20 [1079]~P63(x10792)+~P4(x10793,f3(x10792),x10792)+~P4(x10791,f3(x10792),x10792)+E(f11(f6(x10791,x10792),f6(x10793,x10792),x10792),f6(f11(x10791,x10793,x10792),x10792))
% 1.08/1.20 [1080]~P63(x10802)+~P4(x10803,f3(x10802),x10802)+~P4(f3(x10802),x10801,x10802)+E(f11(f6(x10801,x10802),f6(x10803,x10802),x10802),f6(f11(x10801,x10803,x10802),x10802))
% 1.08/1.20 [1081]~P63(x10812)+~P4(x10811,f3(x10812),x10812)+~P4(f3(x10812),x10813,x10812)+E(f11(f6(x10811,x10812),f6(x10813,x10812),x10812),f6(f11(x10811,x10813,x10812),x10812))
% 1.08/1.20 [1082]~P63(x10822)+~P4(f3(x10822),x10823,x10822)+~P4(f3(x10822),x10821,x10822)+E(f11(f6(x10821,x10822),f6(x10823,x10822),x10822),f6(f11(x10821,x10823,x10822),x10822))
% 1.08/1.20 [1244]~P45(x12442)+E(x12441,f3(x12442))+E(x12443,f3(x12442))+E(f11(f11(f5(x12443,x12442),f9(x12443,x12441,x12442),x12442),f5(x12441,x12442),x12442),f9(f5(x12443,x12442),f5(x12441,x12442),x12442))
% 1.08/1.20 [1245]~P45(x12452)+E(x12451,f3(x12452))+E(x12453,f3(x12452))+E(f11(f11(f5(x12453,x12452),f4(x12451,x12453,x12452),x12452),f5(x12451,x12452),x12452),f4(f5(x12453,x12452),f5(x12451,x12452),x12452))
% 1.08/1.20 [1246]~P48(x12462)+E(x12461,f3(x12462))+E(x12463,f3(x12462))+E(f11(f11(f9(x12463,x12461,x12462),f5(x12463,x12462),x12462),f5(x12461,x12462),x12462),f9(f5(x12463,x12462),f5(x12461,x12462),x12462))
% 1.08/1.20 [1303]~P9(x13033)+~P3(x13031,f10(x13033),x13033)+~P3(f3(x13033),x13031,x13033)+P3(f11(x13031,f30(x13031,x13032,x13033),x13033),f30(x13031,x13032,x13033),x13033)
% 1.08/1.20 [1263]~P9(x12633)+~P3(x12631,f10(x12633),x12633)+~P3(f3(x12633),x12631,x12633)+P3(f30(x12631,f9(x12632,f10(a2),a2),x12633),f10(x12633),x12633)
% 1.08/1.20 [734]~P36(x7343)+~P4(x7341,x7344,x7343)+P4(x7341,x7342,x7343)+~P4(x7344,x7342,x7343)
% 1.08/1.20 [735]~P37(x7353)+~P4(x7351,x7354,x7353)+P4(x7351,x7352,x7353)+~P4(x7354,x7352,x7353)
% 1.08/1.20 [736]~P36(x7363)+~P3(x7361,x7364,x7363)+P3(x7361,x7362,x7363)+~P4(x7364,x7362,x7363)
% 1.08/1.20 [737]~P36(x7373)+~P3(x7374,x7372,x7373)+P3(x7371,x7372,x7373)+~P4(x7371,x7374,x7373)
% 1.08/1.20 [738]~P36(x7383)+~P3(x7381,x7384,x7383)+P3(x7381,x7382,x7383)+~P3(x7384,x7382,x7383)
% 1.08/1.20 [739]~P37(x7393)+~P3(x7391,x7394,x7393)+P3(x7391,x7392,x7393)+~P4(x7394,x7392,x7393)
% 1.08/1.20 [740]~P37(x7403)+~P3(x7404,x7402,x7403)+P3(x7401,x7402,x7403)+~P4(x7401,x7404,x7403)
% 1.08/1.20 [741]~P37(x7413)+~P3(x7411,x7414,x7413)+P3(x7411,x7412,x7413)+~P3(x7414,x7412,x7413)
% 1.08/1.20 [742]~P38(x7423)+~P6(x7421,x7424,x7423)+P6(x7421,x7422,x7423)+~P6(x7424,x7422,x7423)
% 1.08/1.20 [632]~P49(x6324)+~P17(x6324)+E(x6321,x6322)+~E(f9(x6323,x6321,x6324),f9(x6323,x6322,x6324))
% 1.08/1.20 [816]~P9(x8164)+E(x8161,x8162)+~P3(f10(x8164),x8163,x8164)+~E(f30(x8163,x8161,x8164),f30(x8163,x8162,x8164))
% 1.08/1.20 [934]~P11(x9344)+~P4(x9341,x9343,x9344)+~P4(x9341,x9342,x9344)+P4(x9341,f29(x9342,x9343,x9344),x9344)
% 1.08/1.20 [935]~P11(x9354)+~P3(x9351,x9353,x9354)+~P3(x9351,x9352,x9354)+P3(x9351,f29(x9352,x9353,x9354),x9354)
% 1.08/1.20 [937]~P1(x9374)+~P6(x9371,x9373,x9374)+~P6(x9371,x9372,x9374)+P6(x9371,f7(x9372,x9373,x9374),x9374)
% 1.08/1.20 [938]~P38(x9384)+~P6(x9381,x9383,x9384)+~P6(x9381,x9382,x9384)+P6(x9381,f9(x9382,x9383,x9384),x9384)
% 1.08/1.20 [939]~P41(x9394)+~P6(x9391,x9393,x9394)+~P6(x9391,x9392,x9394)+P6(x9391,f4(x9392,x9393,x9394),x9394)
% 1.08/1.20 [942]~P11(x9423)+~P4(x9422,x9424,x9423)+~P4(x9421,x9424,x9423)+P4(f28(x9421,x9422,x9423),x9424,x9423)
% 1.08/1.20 [943]~P11(x9433)+~P3(x9432,x9434,x9433)+~P3(x9431,x9434,x9433)+P3(f28(x9431,x9432,x9433),x9434,x9433)
% 1.08/1.20 [959]~P9(x9594)+~P3(x9591,x9593,x9594)+~P3(f3(x9594),x9592,x9594)+P3(x9591,f9(x9592,x9593,x9594),x9594)
% 1.08/1.20 [1023]~P11(x10233)+P4(x10231,x10232,x10233)+P4(x10231,x10234,x10233)+~P4(x10231,f28(x10232,x10234,x10233),x10233)
% 1.08/1.20 [1024]~P11(x10243)+P3(x10241,x10242,x10243)+P3(x10241,x10244,x10243)+~P3(x10241,f28(x10242,x10244,x10243),x10243)
% 1.08/1.20 [1025]~P11(x10253)+P4(x10251,x10252,x10253)+P4(x10254,x10252,x10253)+~P4(f29(x10251,x10254,x10253),x10252,x10253)
% 1.08/1.20 [1026]~P11(x10263)+P3(x10261,x10262,x10263)+P3(x10264,x10262,x10263)+~P3(f29(x10261,x10264,x10263),x10262,x10263)
% 1.08/1.20 [1072]~P1(x10723)+P6(x10721,x10722,x10723)+~P6(x10721,x10724,x10723)+~P6(x10721,f7(x10722,x10724,x10723),x10723)
% 1.08/1.20 [1137]~P9(x11373)+~P4(x11372,x11374,a2)+~P4(f10(x11373),x11371,x11373)+P4(f30(x11371,x11372,x11373),f30(x11371,x11374,x11373),x11373)
% 1.08/1.20 [1138]~P9(x11383)+~P4(x11382,x11384,a2)+~P3(f10(x11383),x11381,x11383)+P4(f30(x11381,x11382,x11383),f30(x11381,x11384,x11383),x11383)
% 1.08/1.20 [1140]~P9(x11403)+~P3(x11402,x11404,a2)+~P3(f10(x11403),x11401,x11403)+P3(f30(x11401,x11402,x11403),f30(x11401,x11404,x11403),x11403)
% 1.08/1.20 [1143]~P62(x11433)+~P4(x11434,x11431,x11433)+~P4(x11432,f3(x11433),x11433)+P4(f11(x11431,x11432,x11433),f11(x11434,x11432,x11433),x11433)
% 1.08/1.20 [1144]~P62(x11443)+~P4(x11444,x11442,x11443)+~P4(x11441,f3(x11443),x11443)+P4(f11(x11441,x11442,x11443),f11(x11441,x11444,x11443),x11443)
% 1.08/1.20 [1145]~P56(x11453)+~P4(x11454,x11452,x11453)+~P3(x11451,f3(x11453),x11453)+P4(f11(x11451,x11452,x11453),f11(x11451,x11454,x11453),x11453)
% 1.08/1.20 [1146]~P55(x11463)+~P3(x11464,x11461,x11463)+~P3(x11462,f3(x11463),x11463)+P3(f8(x11461,x11462,x11463),f8(x11464,x11462,x11463),x11463)
% 1.08/1.20 [1148]~P56(x11483)+~P3(x11484,x11481,x11483)+~P3(x11482,f3(x11483),x11483)+P3(f11(x11481,x11482,x11483),f11(x11484,x11482,x11483),x11483)
% 1.08/1.20 [1151]~P56(x11513)+~P3(x11514,x11512,x11513)+~P3(x11511,f3(x11513),x11513)+P3(f11(x11511,x11512,x11513),f11(x11511,x11514,x11513),x11513)
% 1.08/1.20 [1152]~P47(x11523)+~P4(x11521,x11524,x11523)+~P4(f3(x11523),x11522,x11523)+P4(f11(x11521,x11522,x11523),f11(x11524,x11522,x11523),x11523)
% 1.08/1.20 [1153]~P56(x11533)+~P4(x11532,x11534,x11533)+~P3(f3(x11533),x11531,x11533)+P4(f11(x11531,x11532,x11533),f11(x11531,x11534,x11533),x11533)
% 1.08/1.20 [1154]~P47(x11543)+~P4(x11542,x11544,x11543)+~P4(f3(x11543),x11541,x11543)+P4(f11(x11541,x11542,x11543),f11(x11541,x11544,x11543),x11543)
% 1.08/1.20 [1155]~P51(x11553)+~P4(x11552,x11554,x11553)+~P4(f3(x11553),x11551,x11553)+P4(f11(x11551,x11552,x11553),f11(x11551,x11554,x11553),x11553)
% 1.08/1.20 [1156]~P9(x11563)+~P4(x11561,x11564,x11563)+~P4(f3(x11563),x11561,x11563)+P4(f30(x11561,x11562,x11563),f30(x11564,x11562,x11563),x11563)
% 1.08/1.20 [1157]~P55(x11573)+~P3(x11571,x11574,x11573)+~P3(f3(x11573),x11572,x11573)+P3(f8(x11571,x11572,x11573),f8(x11574,x11572,x11573),x11573)
% 1.08/1.20 [1158]~P8(x11583)+~P3(x11581,x11584,x11583)+~P3(f3(x11583),x11582,x11583)+P3(f11(x11581,x11582,x11583),f11(x11584,x11582,x11583),x11583)
% 1.08/1.20 [1159]~P56(x11593)+~P3(x11591,x11594,x11593)+~P3(f3(x11593),x11592,x11593)+P3(f11(x11591,x11592,x11593),f11(x11594,x11592,x11593),x11593)
% 1.08/1.20 [1160]~P8(x11603)+~P3(x11602,x11604,x11603)+~P3(f3(x11603),x11601,x11603)+P3(f11(x11601,x11602,x11603),f11(x11601,x11604,x11603),x11603)
% 1.08/1.20 [1162]~P56(x11623)+~P3(x11622,x11624,x11623)+~P3(f3(x11623),x11621,x11623)+P3(f11(x11621,x11622,x11623),f11(x11621,x11624,x11623),x11623)
% 1.08/1.20 [1163]~P46(x11633)+~P3(x11632,x11634,x11633)+~P3(f3(x11633),x11631,x11633)+P3(f11(x11631,x11632,x11633),f11(x11631,x11634,x11633),x11633)
% 1.08/1.20 [1186]~P49(x11862)+P6(x11863,x11864,x11862)+~P6(f11(x11861,x11863,x11862),f11(x11861,x11864,x11862),x11862)+E(x11861,f3(x11862))
% 1.08/1.20 [1187]~P49(x11872)+P6(x11873,x11874,x11872)+~P6(f11(x11873,x11871,x11872),f11(x11874,x11871,x11872),x11872)+E(x11871,f3(x11872))
% 1.08/1.20 [1199]~P55(x11994)+~P3(f3(x11994),x11993,x11994)+~P4(f11(x11991,x11993,x11994),x11992,x11994)+P4(x11991,f8(x11992,x11993,x11994),x11994)
% 1.08/1.20 [1200]~P55(x12004)+~P3(f3(x12004),x12003,x12004)+~P3(f11(x12001,x12003,x12004),x12002,x12004)+P3(x12001,f8(x12002,x12003,x12004),x12004)
% 1.08/1.20 [1201]~P55(x12013)+~P3(f3(x12013),x12012,x12013)+~P4(x12011,f11(x12014,x12012,x12013),x12013)+P4(f8(x12011,x12012,x12013),x12014,x12013)
% 1.08/1.20 [1202]~P55(x12023)+~P3(f3(x12023),x12022,x12023)+~P3(x12021,f11(x12024,x12022,x12023),x12023)+P3(f8(x12021,x12022,x12023),x12024,x12023)
% 1.08/1.20 [1213]P3(x12132,x12131,x12133)+~P56(x12133)+P3(x12131,x12132,x12133)+~P3(f11(x12134,x12131,x12133),f11(x12134,x12132,x12133),x12133)
% 1.08/1.20 [1214]P3(x12142,x12141,x12143)+~P56(x12143)+P3(x12141,x12142,x12143)+~P3(f11(x12141,x12144,x12143),f11(x12142,x12144,x12143),x12143)
% 1.08/1.20 [1226]~P56(x12263)+P3(x12261,x12262,x12263)+~P3(f11(x12261,x12264,x12263),f11(x12262,x12264,x12263),x12263)+P3(x12264,f3(x12263),x12263)
% 1.08/1.20 [1227]~P56(x12273)+P3(x12271,x12272,x12273)+~P3(f11(x12274,x12271,x12273),f11(x12274,x12272,x12273),x12273)+P3(x12274,f3(x12273),x12273)
% 1.08/1.20 [1228]~P56(x12283)+P3(x12281,x12282,x12283)+~P3(f11(x12284,x12282,x12283),f11(x12284,x12281,x12283),x12283)+P3(f3(x12283),x12284,x12283)
% 1.08/1.20 [1229]~P56(x12293)+P3(x12291,x12292,x12293)+~P3(f11(x12292,x12294,x12293),f11(x12291,x12294,x12293),x12293)+P3(f3(x12293),x12294,x12293)
% 1.08/1.20 [1234]~P56(x12342)+~P3(f11(x12343,x12341,x12342),f11(x12344,x12341,x12342),x12342)+P3(x12341,f3(x12342),x12342)+P3(f3(x12342),x12341,x12342)
% 1.08/1.20 [1235]~P56(x12352)+~P3(f11(x12351,x12353,x12352),f11(x12351,x12354,x12352),x12352)+P3(x12351,f3(x12352),x12352)+P3(f3(x12352),x12351,x12352)
% 1.08/1.20 [1248]~P9(x12483)+~P4(f30(x12484,x12481,x12483),f30(x12484,x12482,x12483),x12483)+P4(x12481,x12482,a2)+~P3(f10(x12483),x12484,x12483)
% 1.08/1.20 [1250]~P9(x12503)+~P3(f30(x12504,x12501,x12503),f30(x12504,x12502,x12503),x12503)+P3(x12501,x12502,a2)+~P3(f10(x12503),x12504,x12503)
% 1.08/1.20 [1251]~P56(x12513)+P4(x12511,x12512,x12513)+~P4(f11(x12514,x12512,x12513),f11(x12514,x12511,x12513),x12513)+~P3(x12514,f3(x12513),x12513)
% 1.08/1.20 [1252]~P56(x12523)+P3(x12521,x12522,x12523)+~P3(f11(x12524,x12522,x12523),f11(x12524,x12521,x12523),x12523)+~P3(x12524,f3(x12523),x12523)
% 1.08/1.20 [1253]~P8(x12533)+P4(x12531,x12532,x12533)+~P4(f11(x12534,x12531,x12533),f11(x12534,x12532,x12533),x12533)+~P3(f3(x12533),x12534,x12533)
% 1.08/1.20 [1254]~P8(x12543)+P4(x12541,x12542,x12543)+~P4(f11(x12541,x12544,x12543),f11(x12542,x12544,x12543),x12543)+~P3(f3(x12543),x12544,x12543)
% 1.08/1.20 [1255]~P56(x12553)+P4(x12551,x12552,x12553)+~P4(f11(x12554,x12551,x12553),f11(x12554,x12552,x12553),x12553)+~P3(f3(x12553),x12554,x12553)
% 1.08/1.20 [1256]~P8(x12563)+P3(x12561,x12562,x12563)+~P3(f11(x12564,x12561,x12563),f11(x12564,x12562,x12563),x12563)+~P4(f3(x12563),x12564,x12563)
% 1.08/1.20 [1257]~P8(x12573)+P3(x12571,x12572,x12573)+~P3(f11(x12571,x12574,x12573),f11(x12572,x12574,x12573),x12573)+~P4(f3(x12573),x12574,x12573)
% 1.08/1.20 [1258]~P9(x12583)+P3(x12581,x12582,x12583)+~P4(f3(x12583),x12582,x12583)+~P3(f30(x12581,x12584,x12583),f30(x12582,x12584,x12583),x12583)
% 1.08/1.20 [1259]~P56(x12593)+P3(x12591,x12592,x12593)+~P3(f11(x12594,x12591,x12593),f11(x12594,x12592,x12593),x12593)+~P3(f3(x12593),x12594,x12593)
% 1.08/1.20 [1260]~P57(x12603)+P3(x12601,x12602,x12603)+~P3(f11(x12604,x12601,x12603),f11(x12604,x12602,x12603),x12603)+~P4(f3(x12603),x12604,x12603)
% 1.08/1.20 [1261]~P57(x12613)+P3(x12611,x12612,x12613)+~P3(f11(x12611,x12614,x12613),f11(x12612,x12614,x12613),x12613)+~P4(f3(x12613),x12614,x12613)
% 1.08/1.20 [946]~P48(x9462)+~P44(x9462)+E(x9461,f3(x9462))+E(f8(f11(x9463,x9461,x9462),f11(x9464,x9461,x9462),x9462),f8(x9463,x9464,x9462))
% 1.08/1.20 [947]~P48(x9472)+~P44(x9472)+E(x9471,f3(x9472))+E(f8(f11(x9471,x9473,x9472),f11(x9471,x9474,x9472),x9472),f8(x9473,x9474,x9472))
% 1.08/1.20 [1203]~P48(x12032)+~P4(x12034,x12033,a2)+E(x12031,f3(x12032))+E(f8(f30(x12031,x12033,x12032),f30(x12031,x12034,x12032),x12032),f30(x12031,f4(x12033,x12034,a2),x12032))
% 1.08/1.20 [1242]~P48(x12422)+~P44(x12422)+E(x12421,f3(x12422))+E(f8(f9(x12423,f11(x12424,x12421,x12422),x12422),x12421,x12422),f9(x12424,f8(x12423,x12421,x12422),x12422))
% 1.08/1.20 [1243]~P48(x12432)+~P44(x12432)+E(x12431,f3(x12432))+E(f8(f9(x12433,f11(x12434,x12431,x12432),x12432),x12431,x12432),f9(f8(x12433,x12431,x12432),x12434,x12432))
% 1.08/1.20 [1358]~P9(x13583)+P4(x13581,x13582,x13583)+~P4(f3(x13583),x13582,x13583)+~P4(f30(x13581,f9(x13584,f10(a2),a2),x13583),f30(x13582,f9(x13584,f10(a2),a2),x13583),x13583)
% 1.08/1.20 [878]~P33(x8783)+~P4(x8785,x8784,x8783)+P4(x8781,x8782,x8783)+~E(f4(x8784,x8785,x8783),f4(x8782,x8781,x8783))
% 1.08/1.20 [879]~P33(x8793)+~P4(x8795,x8794,x8793)+P4(x8791,x8792,x8793)+~E(f4(x8792,x8791,x8793),f4(x8794,x8795,x8793))
% 1.08/1.20 [880]~P33(x8803)+~P3(x8804,x8805,x8803)+P3(x8801,x8802,x8803)+~E(f4(x8804,x8805,x8803),f4(x8801,x8802,x8803))
% 1.08/1.20 [881]~P33(x8813)+~P3(x8814,x8815,x8813)+P3(x8811,x8812,x8813)+~E(f4(x8811,x8812,x8813),f4(x8814,x8815,x8813))
% 1.08/1.20 [1125]~P38(x11253)+~P6(x11251,x11254,x11253)+~P4(x11252,x11255,a2)+P6(f30(x11251,x11252,x11253),f30(x11254,x11255,x11253),x11253)
% 1.08/1.20 [1127]~P30(x11273)+~P4(x11272,x11275,x11273)+~P4(x11271,x11274,x11273)+P4(f9(x11271,x11272,x11273),f9(x11274,x11275,x11273),x11273)
% 1.08/1.20 [1128]~P35(x11283)+~P4(x11282,x11285,x11283)+~P3(x11281,x11284,x11283)+P3(f9(x11281,x11282,x11283),f9(x11284,x11285,x11283),x11283)
% 1.08/1.20 [1129]~P35(x11293)+~P4(x11291,x11294,x11293)+~P3(x11292,x11295,x11293)+P3(f9(x11291,x11292,x11293),f9(x11294,x11295,x11293),x11293)
% 1.08/1.20 [1130]~P35(x11303)+~P3(x11302,x11305,x11303)+~P3(x11301,x11304,x11303)+P3(f9(x11301,x11302,x11303),f9(x11304,x11305,x11303),x11303)
% 1.08/1.20 [1131]~P38(x11313)+~P6(x11312,x11315,x11313)+~P6(x11311,x11314,x11313)+P6(f11(x11311,x11312,x11313),f11(x11314,x11315,x11313),x11313)
% 1.08/1.20 [1190]~P38(x11903)+~P6(f30(x11901,x11905,x11903),x11904,x11903)+P6(f30(x11901,x11902,x11903),x11904,x11903)+~P4(x11902,x11905,a2)
% 1.08/1.20 [1191]~P33(x11914)+~P4(x11915,x11913,x11914)+~P4(x11911,f9(x11912,x11915,x11914),x11914)+P4(x11911,f9(x11912,x11913,x11914),x11914)
% 1.08/1.20 [1288]~P54(x12882)+~P3(f6(x12881,x12882),x12884,x12882)+~P3(f6(x12883,x12882),x12885,x12882)+P3(f11(f6(x12881,x12882),f6(x12883,x12882),x12882),f11(x12884,x12885,x12882),x12882)
% 1.08/1.20 [1348]~P48(x13482)+E(x13481,f3(x13482))+E(x13483,f3(x13482))+E(f8(f9(f11(x13484,x13481,x13482),f11(x13485,x13483,x13482),x13482),f11(x13483,x13481,x13482),x13482),f9(f8(x13484,x13483,x13482),f8(x13485,x13481,x13482),x13482))
% 1.08/1.20 [1349]~P48(x13492)+E(x13491,f3(x13492))+E(x13493,f3(x13492))+E(f8(f4(f11(x13494,x13491,x13492),f11(x13495,x13493,x13492),x13492),f11(x13493,x13491,x13492),x13492),f4(f8(x13494,x13493,x13492),f8(x13495,x13491,x13492),x13492))
% 1.08/1.20 [1300]~P1(x13003)+~E(f7(x13001,x13004,x13003),f7(x13005,x13004,x13003))+~E(f7(x13002,x13004,x13003),f7(x13006,x13004,x13003))+E(f7(f11(x13001,x13002,x13003),x13004,x13003),f7(f11(x13005,x13006,x13003),x13004,x13003))
% 1.08/1.20 [1301]~P1(x13013)+~E(f7(x13011,x13014,x13013),f7(x13015,x13014,x13013))+~E(f7(x13012,x13014,x13013),f7(x13016,x13014,x13013))+E(f7(f9(x13011,x13012,x13013),x13014,x13013),f7(f9(x13015,x13016,x13013),x13014,x13013))
% 1.08/1.20 [1302]~P7(x13023)+~E(f7(x13021,x13024,x13023),f7(x13025,x13024,x13023))+~E(f7(x13022,x13024,x13023),f7(x13026,x13024,x13023))+E(f7(f4(x13021,x13022,x13023),x13024,x13023),f7(f4(x13025,x13026,x13023),x13024,x13023))
% 1.08/1.20 [814]~P55(x8142)+~P44(x8142)+P4(f10(x8142),x8141,x8142)+~P4(f5(x8141,x8142),f10(x8142),x8142)+P4(x8141,f3(x8142),x8142)
% 1.08/1.20 [815]~P55(x8152)+~P44(x8152)+P3(f10(x8152),x8151,x8152)+~P3(f5(x8151,x8152),f10(x8152),x8152)+P4(x8151,f3(x8152),x8152)
% 1.08/1.20 [823]~P55(x8231)+~P44(x8231)+~P3(f3(x8231),x8232,x8231)+~P4(x8232,f10(x8231),x8231)+P4(f10(x8231),f5(x8232,x8231),x8231)
% 1.08/1.20 [824]~P55(x8241)+~P44(x8241)+~P3(f3(x8241),x8242,x8241)+~P3(x8242,f10(x8241),x8241)+P3(f10(x8241),f5(x8242,x8241),x8241)
% 1.08/1.20 [513]~P10(x5132)+~P69(x5132)+~P52(x5132)+~P53(x5132)+~E(f30(x5131,f3(a2),x5132),f3(x5132))
% 1.08/1.20 [364]~P45(x3643)+E(x3641,x3642)+~E(f5(x3641,x3643),f5(x3642,x3643))+E(x3642,f3(x3643))+E(x3641,f3(x3643))
% 1.08/1.20 [829]~P34(x8292)+~P4(f3(x8292),x8291,x8292)+~P4(f3(x8292),x8293,x8292)+~E(f9(x8293,x8291,x8292),f3(x8292))+E(x8291,f3(x8292))
% 1.08/1.20 [830]~P34(x8302)+~P4(f3(x8302),x8303,x8302)+~P4(f3(x8302),x8301,x8302)+~E(f9(x8301,x8303,x8302),f3(x8302))+E(x8301,f3(x8302))
% 1.08/1.20 [1028]~P55(x10281)+~P44(x10281)+~P4(x10283,f3(x10281),x10281)+~P4(x10282,f3(x10281),x10281)+P4(f3(x10281),f8(x10282,x10283,x10281),x10281)
% 1.08/1.20 [1030]~P55(x10301)+~P44(x10301)+~P4(f3(x10301),x10303,x10301)+~P4(f3(x10301),x10302,x10301)+P4(f3(x10301),f8(x10302,x10303,x10301),x10301)
% 1.08/1.20 [1032]~P55(x10323)+~P44(x10323)+~P4(x10322,f3(x10323),x10323)+~P4(f3(x10323),x10321,x10323)+P4(f8(x10321,x10322,x10323),f3(x10323),x10323)
% 1.08/1.20 [1033]~P55(x10333)+~P44(x10333)+~P4(x10331,f3(x10333),x10333)+~P4(f3(x10333),x10332,x10333)+P4(f8(x10331,x10332,x10333),f3(x10333),x10333)
% 1.08/1.20 [1054]~P55(x10542)+~P44(x10542)+~P4(f8(x10543,x10541,x10542),f3(x10542),x10542)+P4(x10541,f3(x10542),x10542)+P4(x10543,f3(x10542),x10542)
% 1.08/1.20 [1055]~P55(x10552)+~P44(x10552)+~P3(f8(x10553,x10551,x10552),f3(x10552),x10552)+P3(x10551,f3(x10552),x10552)+P3(x10553,f3(x10552),x10552)
% 1.08/1.20 [1056]~P55(x10562)+~P44(x10562)+~P4(f3(x10562),f8(x10563,x10561,x10562),x10562)+P4(x10561,f3(x10562),x10562)+P4(f3(x10562),x10563,x10562)
% 1.08/1.20 [1057]~P55(x10572)+~P44(x10572)+~P4(f3(x10572),f8(x10571,x10573,x10572),x10572)+P4(x10571,f3(x10572),x10572)+P4(f3(x10572),x10573,x10572)
% 1.08/1.20 [1058]~P55(x10582)+~P44(x10582)+~P4(f3(x10582),f8(x10583,x10581,x10582),x10582)+P4(x10581,f3(x10582),x10582)+P4(f3(x10582),x10581,x10582)
% 1.08/1.20 [1059]~P55(x10592)+~P44(x10592)+~P4(f3(x10592),f8(x10591,x10593,x10592),x10592)+P4(x10591,f3(x10592),x10592)+P4(f3(x10592),x10591,x10592)
% 1.08/1.20 [1060]~P55(x10602)+~P44(x10602)+~P3(f3(x10602),f8(x10603,x10601,x10602),x10602)+P3(x10601,f3(x10602),x10602)+P3(f3(x10602),x10603,x10602)
% 1.08/1.20 [1061]~P55(x10612)+~P44(x10612)+~P3(f3(x10612),f8(x10611,x10613,x10612),x10612)+P3(x10611,f3(x10612),x10612)+P3(f3(x10612),x10613,x10612)
% 1.08/1.20 [1062]~P55(x10622)+~P44(x10622)+~P3(f3(x10622),f8(x10623,x10621,x10622),x10622)+P3(x10621,f3(x10622),x10622)+P3(f3(x10622),x10621,x10622)
% 1.08/1.20 [1063]~P55(x10632)+~P44(x10632)+~P3(f3(x10632),f8(x10631,x10633,x10632),x10632)+P3(x10631,f3(x10632),x10632)+P3(f3(x10632),x10631,x10632)
% 1.08/1.20 [1064]~P55(x10642)+~P44(x10642)+~P4(f8(x10643,x10641,x10642),f3(x10642),x10642)+P4(x10641,f3(x10642),x10642)+P4(f3(x10642),x10641,x10642)
% 1.08/1.20 [1065]~P55(x10652)+~P44(x10652)+~P4(f8(x10651,x10653,x10652),f3(x10652),x10652)+P4(x10651,f3(x10652),x10652)+P4(f3(x10652),x10651,x10652)
% 1.08/1.20 [1066]~P55(x10662)+~P44(x10662)+~P3(f8(x10663,x10661,x10662),f3(x10662),x10662)+P3(x10661,f3(x10662),x10662)+P3(f3(x10662),x10661,x10662)
% 1.08/1.20 [1067]~P55(x10672)+~P44(x10672)+~P3(f8(x10671,x10673,x10672),f3(x10672),x10672)+P3(x10671,f3(x10672),x10672)+P3(f3(x10672),x10671,x10672)
% 1.08/1.20 [1068]~P55(x10681)+~P44(x10681)+~P4(f8(x10682,x10683,x10681),f3(x10681),x10681)+P4(f3(x10681),x10682,x10681)+P4(f3(x10681),x10683,x10681)
% 1.08/1.20 [1069]~P55(x10691)+~P44(x10691)+~P3(f8(x10692,x10693,x10691),f3(x10691),x10691)+P3(f3(x10691),x10692,x10691)+P3(f3(x10691),x10693,x10691)
% 1.08/1.20 [1141]~P54(x11413)+~P4(x11411,f10(x11413),x11413)+~P4(f3(x11413),x11412,x11413)+~P4(f3(x11413),x11411,x11413)+P4(f11(x11411,x11412,x11413),x11412,x11413)
% 1.08/1.20 [1142]~P54(x11423)+~P4(x11422,f10(x11423),x11423)+~P4(f3(x11423),x11422,x11423)+~P4(f3(x11423),x11421,x11423)+P4(f11(x11421,x11422,x11423),x11421,x11423)
% 1.08/1.20 [969]~P13(x9694)+~P14(x9694)+~P4(x9691,x9693,x9694)+~P4(f3(x9694),x9692,x9694)+P4(x9691,f9(x9692,x9693,x9694),x9694)
% 1.08/1.20 [970]~P13(x9704)+~P14(x9704)+~P4(x9701,x9702,x9704)+~P4(f3(x9704),x9703,x9704)+P4(x9701,f9(x9702,x9703,x9704),x9704)
% 1.08/1.20 [971]~P13(x9714)+~P14(x9714)+~P4(x9711,x9713,x9714)+~P3(f3(x9714),x9712,x9714)+P3(x9711,f9(x9712,x9713,x9714),x9714)
% 1.08/1.20 [972]~P13(x9724)+~P14(x9724)+~P3(x9721,x9723,x9724)+~P4(f3(x9724),x9722,x9724)+P3(x9721,f9(x9722,x9723,x9724),x9724)
% 1.08/1.20 [1169]~P55(x11693)+~P44(x11693)+~P4(x11694,x11691,x11693)+~P4(x11692,f3(x11693),x11693)+P4(f8(x11691,x11692,x11693),f8(x11694,x11692,x11693),x11693)
% 1.08/1.20 [1170]~P55(x11703)+~P44(x11703)+~P4(x11701,x11704,x11703)+~P4(f3(x11703),x11702,x11703)+P4(f8(x11701,x11702,x11703),f8(x11704,x11702,x11703),x11703)
% 1.08/1.20 [1205]~P55(x12054)+~P44(x12054)+~P3(f3(x12054),x12053,x12054)+~P4(f8(x12051,x12053,x12054),x12052,x12054)+P4(x12051,f11(x12052,x12053,x12054),x12054)
% 1.08/1.20 [1207]~P55(x12074)+~P44(x12074)+~P3(f3(x12074),x12073,x12074)+~P3(f8(x12071,x12073,x12074),x12072,x12074)+P3(x12071,f11(x12072,x12073,x12074),x12074)
% 1.08/1.20 [1209]~P55(x12093)+~P44(x12093)+~P3(f3(x12093),x12092,x12093)+~P4(x12091,f8(x12094,x12092,x12093),x12093)+P4(f11(x12091,x12092,x12093),x12094,x12093)
% 1.08/1.20 [1211]~P55(x12113)+~P44(x12113)+~P3(f3(x12113),x12112,x12113)+~P3(x12111,f8(x12114,x12112,x12113),x12113)+P3(f11(x12111,x12112,x12113),x12114,x12113)
% 1.08/1.20 [1230]~P9(x12303)+~P3(x12301,x12304,x12303)+~P4(f3(x12303),x12301,x12303)+P3(f30(x12301,x12302,x12303),f30(x12304,x12302,x12303),x12303)+~P3(f3(a2),x12302,a2)
% 1.08/1.20 [1236]~P9(x12363)+~P4(x12364,x12362,a2)+~P4(x12361,f10(x12363),x12363)+~P4(f3(x12363),x12361,x12363)+P4(f30(x12361,x12362,x12363),f30(x12361,x12364,x12363),x12363)
% 1.08/1.20 [1237]~P9(x12373)+~P3(x12374,x12372,a2)+~P3(x12371,f10(x12373),x12373)+~P3(f3(x12373),x12371,x12373)+P3(f30(x12371,x12372,x12373),f30(x12371,x12374,x12373),x12373)
% 1.08/1.20 [1311]~P55(x13113)+~P3(x13112,x13114,x13113)+~P3(x13111,f3(x13113),x13113)+~P3(f3(x13113),f11(x13112,x13114,x13113),x13113)+P3(f8(x13111,x13112,x13113),f8(x13111,x13114,x13113),x13113)
% 1.08/1.20 [1312]~P55(x13123)+~P4(x13124,x13122,x13123)+~P4(f3(x13123),x13121,x13123)+~P3(f3(x13123),f11(x13122,x13124,x13123),x13123)+P4(f8(x13121,x13122,x13123),f8(x13121,x13124,x13123),x13123)
% 1.08/1.20 [1313]~P55(x13133)+~P3(x13134,x13132,x13133)+~P3(f3(x13133),x13131,x13133)+~P3(f3(x13133),f11(x13132,x13134,x13133),x13133)+P3(f8(x13131,x13132,x13133),f8(x13131,x13134,x13133),x13133)
% 1.08/1.20 [1308]~P9(x13084)+E(x13081,x13082)+~P4(f3(x13084),x13082,x13084)+~P4(f3(x13084),x13081,x13084)+~E(f30(x13081,f9(x13083,f10(a2),a2),x13084),f30(x13082,f9(x13083,f10(a2),a2),x13084))
% 1.08/1.20 [833]~P48(x8332)+~E(f11(x8334,x8333,x8332),f11(x8335,x8331,x8332))+E(f8(x8334,x8331,x8332),f8(x8335,x8333,x8332))+E(x8331,f3(x8332))+E(x8333,f3(x8332))
% 1.08/1.20 [834]~P48(x8342)+~E(f8(x8344,x8343,x8342),f8(x8345,x8341,x8342))+E(f11(x8344,x8341,x8342),f11(x8345,x8343,x8342))+E(x8341,f3(x8342))+E(x8343,f3(x8342))
% 1.08/1.20 [1212]~P49(x12124)+~P17(x12124)+E(x12121,x12122)+E(x12123,f3(x12124))+~E(f9(x12125,f11(x12123,x12121,x12124),x12124),f9(x12125,f11(x12123,x12122,x12124),x12124))
% 1.08/1.20 [1336]~P49(x13365)+~P17(x13365)+E(x13361,x13362)+E(x13363,x13364)+~E(f9(f11(x13363,x13361,x13365),f11(x13364,x13362,x13365),x13365),f9(f11(x13363,x13362,x13365),f11(x13364,x13361,x13365),x13365))
% 1.08/1.20 [1357]~P43(x13575)+~P42(x13575)+~P6(x13571,x13574,x13575)+~P6(x13571,f9(x13572,x13576,x13575),x13575)+P6(x13571,f9(f4(x13572,f11(x13573,x13574,x13575),x13575),x13576,x13575),x13575)
% 1.08/1.20 [1359]~P43(x13594)+~P42(x13594)+~P6(x13591,x13595,x13594)+P6(x13591,f9(x13592,x13593,x13594),x13594)+~P6(x13591,f9(f4(x13592,f11(x13596,x13595,x13594),x13594),x13593,x13594),x13594)
% 1.08/1.20 [459]~P10(x4592)+~P69(x4592)+~P52(x4592)+~P53(x4592)+E(x4591,f3(a2))+E(f30(f3(x4592),x4591,x4592),f3(x4592))
% 1.08/1.20 [514]~P10(x5142)+~P69(x5142)+~P52(x5142)+~P53(x5142)+~E(f30(x5141,x5143,x5142),f3(x5142))+E(x5141,f3(x5142))
% 1.08/1.20 [1045]~P55(x10452)+~P44(x10452)+P3(x10451,f3(x10452),x10452)+P3(f3(x10452),x10451,x10452)+~P4(x10453,f3(x10452),x10452)+P4(x10453,f8(x10454,x10451,x10452),x10452)
% 1.08/1.20 [1046]~P55(x10462)+~P44(x10462)+P3(x10461,f3(x10462),x10462)+P3(f3(x10462),x10461,x10462)+~P3(x10463,f3(x10462),x10462)+P3(x10463,f8(x10464,x10461,x10462),x10462)
% 1.08/1.20 [1047]~P55(x10472)+~P44(x10472)+P3(x10471,f3(x10472),x10472)+P3(f3(x10472),x10471,x10472)+~P4(f3(x10472),x10474,x10472)+P4(f8(x10473,x10471,x10472),x10474,x10472)
% 1.08/1.20 [1048]~P55(x10482)+~P44(x10482)+P3(x10481,f3(x10482),x10482)+P3(f3(x10482),x10481,x10482)+~P3(f3(x10482),x10484,x10482)+P3(f8(x10483,x10481,x10482),x10484,x10482)
% 1.08/1.20 [1133]~P55(x11332)+~P44(x11332)+P4(x11331,f3(x11332),x11332)+P3(f3(x11332),x11333,x11332)+~P4(x11331,f8(x11334,x11333,x11332),x11332)+P3(x11333,f3(x11332),x11332)
% 1.08/1.20 [1134]~P55(x11342)+~P44(x11342)+P3(x11341,f3(x11342),x11342)+P3(f3(x11342),x11341,x11342)+~P3(x11343,f8(x11344,x11341,x11342),x11342)+P3(x11343,f3(x11342),x11342)
% 1.08/1.20 [1135]~P55(x11352)+~P44(x11352)+P3(x11351,f3(x11352),x11352)+P3(f3(x11352),x11351,x11352)+~P4(f8(x11354,x11351,x11352),x11353,x11352)+P4(f3(x11352),x11353,x11352)
% 1.08/1.20 [1136]~P55(x11362)+~P44(x11362)+P3(x11361,f3(x11362),x11362)+P3(f3(x11362),x11361,x11362)+~P3(f8(x11364,x11361,x11362),x11363,x11362)+P3(f3(x11362),x11363,x11362)
% 1.08/1.20 [1164]~P9(x11644)+E(x11641,x11642)+~P4(f3(x11644),x11642,x11644)+~P4(f3(x11644),x11641,x11644)+~E(f30(x11641,x11643,x11644),f30(x11642,x11643,x11644))+~P3(f3(a2),x11643,a2)
% 1.08/1.20 [1264]~P55(x12642)+~P44(x12642)+~P4(f11(x12643,x12641,x12642),x12644,x12642)+P3(x12641,f3(x12642),x12642)+~P4(x12643,f3(x12642),x12642)+P4(x12643,f8(x12644,x12641,x12642),x12642)
% 1.08/1.20 [1265]~P55(x12652)+~P44(x12652)+~P3(f11(x12653,x12651,x12652),x12654,x12652)+P3(x12651,f3(x12652),x12652)+~P3(x12653,f3(x12652),x12652)+P3(x12653,f8(x12654,x12651,x12652),x12652)
% 1.08/1.20 [1266]~P55(x12662)+~P44(x12662)+~P4(x12663,f11(x12664,x12661,x12662),x12662)+P3(x12661,f3(x12662),x12662)+~P4(f3(x12662),x12664,x12662)+P4(f8(x12663,x12661,x12662),x12664,x12662)
% 1.08/1.20 [1267]~P55(x12672)+~P44(x12672)+~P3(x12673,f11(x12674,x12671,x12672),x12672)+P3(x12671,f3(x12672),x12672)+~P3(f3(x12672),x12674,x12672)+P3(f8(x12673,x12671,x12672),x12674,x12672)
% 1.08/1.20 [1268]~P55(x12681)+~P44(x12681)+~P4(x12684,f11(x12683,x12682,x12681),x12681)+~P4(x12683,f3(x12681),x12681)+P3(f3(x12681),x12682,x12681)+P4(x12683,f8(x12684,x12682,x12681),x12681)
% 1.08/1.20 [1269]~P55(x12691)+~P44(x12691)+~P4(x12694,f11(x12693,x12692,x12691),x12691)+~P3(x12692,f3(x12691),x12691)+P3(f3(x12691),x12692,x12691)+P4(x12693,f8(x12694,x12692,x12691),x12691)
% 1.08/1.20 [1270]~P55(x12701)+~P44(x12701)+~P4(x12704,f8(x12703,x12702,x12701),x12701)+~P3(x12702,f3(x12701),x12701)+P3(f3(x12701),x12702,x12701)+P4(x12703,f11(x12704,x12702,x12701),x12701)
% 1.08/1.20 [1271]~P55(x12711)+~P44(x12711)+~P3(x12714,f11(x12713,x12712,x12711),x12711)+~P3(x12712,f3(x12711),x12711)+P3(f3(x12711),x12712,x12711)+P3(x12713,f8(x12714,x12712,x12711),x12711)
% 1.08/1.20 [1272]~P55(x12721)+~P44(x12721)+~P3(x12724,f11(x12723,x12722,x12721),x12721)+~P3(x12723,f3(x12721),x12721)+P3(f3(x12721),x12722,x12721)+P3(x12723,f8(x12724,x12722,x12721),x12721)
% 1.08/1.20 [1273]~P55(x12731)+~P44(x12731)+~P3(x12734,f8(x12733,x12732,x12731),x12731)+~P3(x12732,f3(x12731),x12731)+P3(f3(x12731),x12732,x12731)+P3(x12733,f11(x12734,x12732,x12731),x12731)
% 1.08/1.20 [1274]~P55(x12741)+~P44(x12741)+~P4(f11(x12744,x12742,x12741),x12743,x12741)+~P3(x12742,f3(x12741),x12741)+P3(f3(x12741),x12742,x12741)+P4(f8(x12743,x12742,x12741),x12744,x12741)
% 1.08/1.20 [1275]~P55(x12751)+~P44(x12751)+~P4(f8(x12754,x12752,x12751),x12753,x12751)+~P3(x12752,f3(x12751),x12751)+P3(f3(x12751),x12752,x12751)+P4(f11(x12753,x12752,x12751),x12754,x12751)
% 1.08/1.20 [1276]~P55(x12761)+~P44(x12761)+~P3(f11(x12764,x12762,x12761),x12763,x12761)+~P3(x12762,f3(x12761),x12761)+P3(f3(x12761),x12762,x12761)+P3(f8(x12763,x12762,x12761),x12764,x12761)
% 1.08/1.20 [1277]~P55(x12771)+~P44(x12771)+~P3(f8(x12774,x12772,x12771),x12773,x12771)+~P3(x12772,f3(x12771),x12771)+P3(f3(x12771),x12772,x12771)+P3(f11(x12773,x12772,x12771),x12774,x12771)
% 1.08/1.20 [1278]~P55(x12781)+~P44(x12781)+~P4(f11(x12784,x12782,x12781),x12783,x12781)+~P4(f3(x12781),x12784,x12781)+P3(f3(x12781),x12782,x12781)+P4(f8(x12783,x12782,x12781),x12784,x12781)
% 1.08/1.20 [1279]~P55(x12791)+~P44(x12791)+~P3(f11(x12794,x12792,x12791),x12793,x12791)+~P3(f3(x12791),x12794,x12791)+P3(f3(x12791),x12792,x12791)+P3(f8(x12793,x12792,x12791),x12794,x12791)
% 1.08/1.20 [1314]~P55(x13143)+~P44(x13143)+~P4(x13142,x13144,x13143)+~P4(x13141,f3(x13143),x13143)+~P3(f3(x13143),f11(x13142,x13144,x13143),x13143)+P4(f8(x13141,x13142,x13143),f8(x13141,x13144,x13143),x13143)
% 1.08/1.20 [1321]~P55(x13214)+~P44(x13214)+~P4(x13211,f3(x13214),x13214)+~P4(x13212,f11(x13211,x13213,x13214),x13214)+~P4(f11(x13211,x13213,x13214),x13212,x13214)+P4(x13211,f8(x13212,x13213,x13214),x13214)
% 1.08/1.20 [1322]~P55(x13224)+~P44(x13224)+~P3(x13223,f3(x13224),x13224)+~P4(x13222,f11(x13221,x13223,x13224),x13224)+~P4(f11(x13221,x13223,x13224),x13222,x13224)+P4(x13221,f8(x13222,x13223,x13224),x13224)
% 1.08/1.20 [1323]~P55(x13234)+~P44(x13234)+~P3(x13233,f3(x13234),x13234)+~P3(x13232,f11(x13231,x13233,x13234),x13234)+~P3(f11(x13231,x13233,x13234),x13232,x13234)+P3(x13231,f8(x13232,x13233,x13234),x13234)
% 1.08/1.20 [1324]~P55(x13244)+~P44(x13244)+~P3(x13241,f3(x13244),x13244)+~P3(x13242,f11(x13241,x13243,x13244),x13244)+~P3(f11(x13241,x13243,x13244),x13242,x13244)+P3(x13241,f8(x13242,x13243,x13244),x13244)
% 1.08/1.20 [1325]~P55(x13253)+~P44(x13253)+~P3(x13252,f3(x13253),x13253)+~P4(x13251,f11(x13254,x13252,x13253),x13253)+~P4(f11(x13254,x13252,x13253),x13251,x13253)+P4(f8(x13251,x13252,x13253),x13254,x13253)
% 1.08/1.20 [1326]~P55(x13263)+~P44(x13263)+~P3(x13262,f3(x13263),x13263)+~P3(x13261,f11(x13264,x13262,x13263),x13263)+~P3(f11(x13264,x13262,x13263),x13261,x13263)+P3(f8(x13261,x13262,x13263),x13264,x13263)
% 1.08/1.20 [1327]~P55(x13273)+~P44(x13273)+~P4(f3(x13273),x13274,x13273)+~P4(x13271,f11(x13274,x13272,x13273),x13273)+~P4(f11(x13274,x13272,x13273),x13271,x13273)+P4(f8(x13271,x13272,x13273),x13274,x13273)
% 1.08/1.20 [1328]~P55(x13283)+~P44(x13283)+~P3(f3(x13283),x13284,x13283)+~P3(x13281,f11(x13284,x13282,x13283),x13283)+~P3(f11(x13284,x13282,x13283),x13281,x13283)+P3(f8(x13281,x13282,x13283),x13284,x13283)
% 1.08/1.20 [1289]~P55(x12893)+~P4(x12895,x12892,x12893)+~P4(x12891,x12894,x12893)+~P4(f3(x12893),x12891,x12893)+~P3(f3(x12893),x12895,x12893)+P4(f8(x12891,x12892,x12893),f8(x12894,x12895,x12893),x12893)
% 1.08/1.20 [1290]~P61(x12903)+~P4(x12902,x12905,x12903)+~P4(x12901,x12904,x12903)+~P4(f3(x12903),x12904,x12903)+~P4(f3(x12903),x12902,x12903)+P4(f11(x12901,x12902,x12903),f11(x12904,x12905,x12903),x12903)
% 1.08/1.20 [1291]~P61(x12913)+~P4(x12912,x12915,x12913)+~P4(x12911,x12914,x12913)+~P4(f3(x12913),x12912,x12913)+~P4(f3(x12913),x12911,x12913)+P4(f11(x12911,x12912,x12913),f11(x12914,x12915,x12913),x12913)
% 1.08/1.20 [1292]~P55(x12923)+~P4(x12925,x12922,x12923)+~P3(x12921,x12924,x12923)+~P4(f3(x12923),x12921,x12923)+~P3(f3(x12923),x12925,x12923)+P3(f8(x12921,x12922,x12923),f8(x12924,x12925,x12923),x12923)
% 1.08/1.20 [1293]~P55(x12933)+~P4(x12931,x12934,x12933)+~P3(x12935,x12932,x12933)+~P3(f3(x12933),x12935,x12933)+~P3(f3(x12933),x12931,x12933)+P3(f8(x12931,x12932,x12933),f8(x12934,x12935,x12933),x12933)
% 1.08/1.20 [1294]~P8(x12943)+~P4(x12942,x12945,x12943)+~P3(x12941,x12944,x12943)+~P4(f3(x12943),x12941,x12943)+~P3(f3(x12943),x12942,x12943)+P3(f11(x12941,x12942,x12943),f11(x12944,x12945,x12943),x12943)
% 1.08/1.20 [1295]~P8(x12953)+~P4(x12951,x12954,x12953)+~P3(x12952,x12955,x12953)+~P4(f3(x12953),x12952,x12953)+~P3(f3(x12953),x12951,x12953)+P3(f11(x12951,x12952,x12953),f11(x12954,x12955,x12953),x12953)
% 1.08/1.20 [1296]~P8(x12963)+~P3(x12962,x12965,x12963)+~P3(x12961,x12964,x12963)+~P4(f3(x12963),x12962,x12963)+~P4(f3(x12963),x12961,x12963)+P3(f11(x12961,x12962,x12963),f11(x12964,x12965,x12963),x12963)
% 1.08/1.20 [1297]~P8(x12973)+~P3(x12972,x12975,x12973)+~P3(x12971,x12974,x12973)+~P4(f3(x12973),x12972,x12973)+~P3(f3(x12973),x12974,x12973)+P3(f11(x12971,x12972,x12973),f11(x12974,x12975,x12973),x12973)
% 1.08/1.20 %EqnAxiom
% 1.08/1.20 [1]E(x11,x11)
% 1.08/1.20 [2]E(x22,x21)+~E(x21,x22)
% 1.08/1.20 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.08/1.20 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 1.08/1.20 [5]~E(x51,x52)+E(f14(x51),f14(x52))
% 1.08/1.20 [6]~E(x61,x62)+E(f9(x61,x63,x64),f9(x62,x63,x64))
% 1.08/1.20 [7]~E(x71,x72)+E(f9(x73,x71,x74),f9(x73,x72,x74))
% 1.08/1.20 [8]~E(x81,x82)+E(f9(x83,x84,x81),f9(x83,x84,x82))
% 1.08/1.20 [9]~E(x91,x92)+E(f27(x91),f27(x92))
% 1.08/1.20 [10]~E(x101,x102)+E(f6(x101,x103),f6(x102,x103))
% 1.08/1.20 [11]~E(x111,x112)+E(f6(x113,x111),f6(x113,x112))
% 1.08/1.20 [12]~E(x121,x122)+E(f15(x121),f15(x122))
% 1.08/1.20 [13]~E(x131,x132)+E(f18(x131,x133),f18(x132,x133))
% 1.08/1.20 [14]~E(x141,x142)+E(f18(x143,x141),f18(x143,x142))
% 1.08/1.20 [15]~E(x151,x152)+E(f10(x151),f10(x152))
% 1.08/1.20 [16]~E(x161,x162)+E(f4(x161,x163,x164),f4(x162,x163,x164))
% 1.08/1.20 [17]~E(x171,x172)+E(f4(x173,x171,x174),f4(x173,x172,x174))
% 1.08/1.20 [18]~E(x181,x182)+E(f4(x183,x184,x181),f4(x183,x184,x182))
% 1.08/1.20 [19]~E(x191,x192)+E(f30(x191,x193,x194),f30(x192,x193,x194))
% 1.08/1.20 [20]~E(x201,x202)+E(f30(x203,x201,x204),f30(x203,x202,x204))
% 1.08/1.20 [21]~E(x211,x212)+E(f30(x213,x214,x211),f30(x213,x214,x212))
% 1.08/1.20 [22]~E(x221,x222)+E(f25(x221,x223),f25(x222,x223))
% 1.08/1.20 [23]~E(x231,x232)+E(f25(x233,x231),f25(x233,x232))
% 1.08/1.20 [24]~E(x241,x242)+E(f11(x241,x243,x244),f11(x242,x243,x244))
% 1.08/1.20 [25]~E(x251,x252)+E(f11(x253,x251,x254),f11(x253,x252,x254))
% 1.08/1.20 [26]~E(x261,x262)+E(f11(x263,x264,x261),f11(x263,x264,x262))
% 1.08/1.20 [27]~E(x271,x272)+E(f7(x271,x273,x274),f7(x272,x273,x274))
% 1.08/1.20 [28]~E(x281,x282)+E(f7(x283,x281,x284),f7(x283,x282,x284))
% 1.08/1.20 [29]~E(x291,x292)+E(f7(x293,x294,x291),f7(x293,x294,x292))
% 1.08/1.20 [30]~E(x301,x302)+E(f28(x301,x303,x304),f28(x302,x303,x304))
% 1.08/1.20 [31]~E(x311,x312)+E(f28(x313,x311,x314),f28(x313,x312,x314))
% 1.08/1.20 [32]~E(x321,x322)+E(f28(x323,x324,x321),f28(x323,x324,x322))
% 1.08/1.20 [33]~E(x331,x332)+E(f8(x331,x333,x334),f8(x332,x333,x334))
% 1.08/1.20 [34]~E(x341,x342)+E(f8(x343,x341,x344),f8(x343,x342,x344))
% 1.08/1.20 [35]~E(x351,x352)+E(f8(x353,x354,x351),f8(x353,x354,x352))
% 1.08/1.20 [36]~E(x361,x362)+E(f12(x361,x363),f12(x362,x363))
% 1.08/1.20 [37]~E(x371,x372)+E(f12(x373,x371),f12(x373,x372))
% 1.08/1.20 [38]~E(x381,x382)+E(f29(x381,x383,x384),f29(x382,x383,x384))
% 1.08/1.20 [39]~E(x391,x392)+E(f29(x393,x391,x394),f29(x393,x392,x394))
% 1.08/1.20 [40]~E(x401,x402)+E(f29(x403,x404,x401),f29(x403,x404,x402))
% 1.08/1.20 [41]~E(x411,x412)+E(f13(x411,x413),f13(x412,x413))
% 1.08/1.20 [42]~E(x421,x422)+E(f13(x423,x421),f13(x423,x422))
% 1.08/1.20 [43]~E(x431,x432)+E(f20(x431,x433),f20(x432,x433))
% 1.08/1.20 [44]~E(x441,x442)+E(f20(x443,x441),f20(x443,x442))
% 1.08/1.20 [45]~E(x451,x452)+E(f5(x451,x453),f5(x452,x453))
% 1.08/1.20 [46]~E(x461,x462)+E(f5(x463,x461),f5(x463,x462))
% 1.08/1.20 [47]~E(x471,x472)+E(f22(x471,x473,x474),f22(x472,x473,x474))
% 1.08/1.20 [48]~E(x481,x482)+E(f22(x483,x481,x484),f22(x483,x482,x484))
% 1.08/1.20 [49]~E(x491,x492)+E(f22(x493,x494,x491),f22(x493,x494,x492))
% 1.08/1.20 [50]~E(x501,x502)+E(f24(x501,x503),f24(x502,x503))
% 1.08/1.20 [51]~E(x511,x512)+E(f24(x513,x511),f24(x513,x512))
% 1.08/1.20 [52]~E(x521,x522)+E(f16(x521,x523),f16(x522,x523))
% 1.08/1.20 [53]~E(x531,x532)+E(f16(x533,x531),f16(x533,x532))
% 1.08/1.20 [54]~E(x541,x542)+E(f23(x541,x543,x544),f23(x542,x543,x544))
% 1.08/1.20 [55]~E(x551,x552)+E(f23(x553,x551,x554),f23(x553,x552,x554))
% 1.08/1.20 [56]~E(x561,x562)+E(f23(x563,x564,x561),f23(x563,x564,x562))
% 1.08/1.20 [57]~E(x571,x572)+E(f26(x571,x573),f26(x572,x573))
% 1.08/1.20 [58]~E(x581,x582)+E(f26(x583,x581),f26(x583,x582))
% 1.08/1.20 [59]~E(x591,x592)+E(f19(x591,x593,x594),f19(x592,x593,x594))
% 1.08/1.20 [60]~E(x601,x602)+E(f19(x603,x601,x604),f19(x603,x602,x604))
% 1.08/1.20 [61]~E(x611,x612)+E(f19(x613,x614,x611),f19(x613,x614,x612))
% 1.08/1.20 [62]~E(x621,x622)+E(f17(x621),f17(x622))
% 1.08/1.20 [63]~E(x631,x632)+E(f21(x631,x633,x634),f21(x632,x633,x634))
% 1.08/1.20 [64]~E(x641,x642)+E(f21(x643,x641,x644),f21(x643,x642,x644))
% 1.08/1.20 [65]~E(x651,x652)+E(f21(x653,x654,x651),f21(x653,x654,x652))
% 1.08/1.20 [66]~P1(x661)+P1(x662)+~E(x661,x662)
% 1.08/1.20 [67]~P8(x671)+P8(x672)+~E(x671,x672)
% 1.08/1.20 [68]~P9(x681)+P9(x682)+~E(x681,x682)
% 1.08/1.20 [69]~P58(x691)+P58(x692)+~E(x691,x692)
% 1.08/1.20 [70]~P10(x701)+P10(x702)+~E(x701,x702)
% 1.08/1.20 [71]~P11(x711)+P11(x712)+~E(x711,x712)
% 1.08/1.20 [72]~P12(x721)+P12(x722)+~E(x721,x722)
% 1.08/1.20 [73]~P13(x731)+P13(x732)+~E(x731,x732)
% 1.08/1.20 [74]~P14(x741)+P14(x742)+~E(x741,x742)
% 1.08/1.20 [75]~P38(x751)+P38(x752)+~E(x751,x752)
% 1.08/1.20 [76]~P15(x761)+P15(x762)+~E(x761,x762)
% 1.08/1.20 [77]~P57(x771)+P57(x772)+~E(x771,x772)
% 1.08/1.20 [78]~P24(x781)+P24(x782)+~E(x781,x782)
% 1.08/1.20 [79]~P25(x791)+P25(x792)+~E(x791,x792)
% 1.08/1.20 [80]~P43(x801)+P43(x802)+~E(x801,x802)
% 1.08/1.20 [81]~P30(x811)+P30(x812)+~E(x811,x812)
% 1.08/1.20 [82]~P34(x821)+P34(x822)+~E(x821,x822)
% 1.08/1.20 [83]~P36(x831)+P36(x832)+~E(x831,x832)
% 1.08/1.20 [84]~P37(x841)+P37(x842)+~E(x841,x842)
% 1.08/1.20 [85]~P68(x851)+P68(x852)+~E(x851,x852)
% 1.08/1.20 [86]~P18(x861)+P18(x862)+~E(x861,x862)
% 1.08/1.20 [87]~P35(x871)+P35(x872)+~E(x871,x872)
% 1.08/1.20 [88]~P59(x881)+P59(x882)+~E(x881,x882)
% 1.08/1.20 [89]~P60(x891)+P60(x892)+~E(x891,x892)
% 1.08/1.20 [90]~P20(x901)+P20(x902)+~E(x901,x902)
% 1.08/1.20 [91]~P23(x911)+P23(x912)+~E(x911,x912)
% 1.08/1.20 [92]~P46(x921)+P46(x922)+~E(x921,x922)
% 1.08/1.20 [93]~P2(x931)+P2(x932)+~E(x931,x932)
% 1.08/1.20 [94]P4(x942,x943,x944)+~E(x941,x942)+~P4(x941,x943,x944)
% 1.08/1.20 [95]P4(x953,x952,x954)+~E(x951,x952)+~P4(x953,x951,x954)
% 1.08/1.20 [96]P4(x963,x964,x962)+~E(x961,x962)+~P4(x963,x964,x961)
% 1.08/1.20 [97]~P47(x971)+P47(x972)+~E(x971,x972)
% 1.08/1.20 [98]~P51(x981)+P51(x982)+~E(x981,x982)
% 1.08/1.20 [99]~P61(x991)+P61(x992)+~E(x991,x992)
% 1.08/1.20 [100]~P69(x1001)+P69(x1002)+~E(x1001,x1002)
% 1.08/1.20 [101]~P52(x1011)+P52(x1012)+~E(x1011,x1012)
% 1.08/1.20 [102]~P53(x1021)+P53(x1022)+~E(x1021,x1022)
% 1.08/1.20 [103]~P21(x1031)+P21(x1032)+~E(x1031,x1032)
% 1.08/1.20 [104]~P39(x1041)+P39(x1042)+~E(x1041,x1042)
% 1.08/1.20 [105]~P26(x1051)+P26(x1052)+~E(x1051,x1052)
% 1.08/1.20 [106]P3(x1062,x1063,x1064)+~E(x1061,x1062)+~P3(x1061,x1063,x1064)
% 1.08/1.20 [107]P3(x1073,x1072,x1074)+~E(x1071,x1072)+~P3(x1073,x1071,x1074)
% 1.08/1.20 [108]P3(x1083,x1084,x1082)+~E(x1081,x1082)+~P3(x1083,x1084,x1081)
% 1.08/1.20 [109]~P44(x1091)+P44(x1092)+~E(x1091,x1092)
% 1.08/1.20 [110]~P55(x1101)+P55(x1102)+~E(x1101,x1102)
% 1.08/1.20 [111]~P33(x1111)+P33(x1112)+~E(x1111,x1112)
% 1.08/1.20 [112]~P56(x1121)+P56(x1122)+~E(x1121,x1122)
% 1.08/1.20 [113]~P31(x1131)+P31(x1132)+~E(x1131,x1132)
% 1.08/1.20 [114]~P49(x1141)+P49(x1142)+~E(x1141,x1142)
% 1.08/1.20 [115]~P27(x1151)+P27(x1152)+~E(x1151,x1152)
% 1.08/1.20 [116]~P50(x1161)+P50(x1162)+~E(x1161,x1162)
% 1.08/1.20 [117]~P19(x1171)+P19(x1172)+~E(x1171,x1172)
% 1.08/1.20 [118]~P7(x1181)+P7(x1182)+~E(x1181,x1182)
% 1.08/1.20 [119]~P54(x1191)+P54(x1192)+~E(x1191,x1192)
% 1.08/1.20 [120]~P48(x1201)+P48(x1202)+~E(x1201,x1202)
% 1.08/1.20 [121]P5(x1212,x1213)+~E(x1211,x1212)+~P5(x1211,x1213)
% 1.08/1.20 [122]P5(x1223,x1222)+~E(x1221,x1222)+~P5(x1223,x1221)
% 1.08/1.20 [123]P6(x1232,x1233,x1234)+~E(x1231,x1232)+~P6(x1231,x1233,x1234)
% 1.08/1.20 [124]P6(x1243,x1242,x1244)+~E(x1241,x1242)+~P6(x1243,x1241,x1244)
% 1.08/1.20 [125]P6(x1253,x1254,x1252)+~E(x1251,x1252)+~P6(x1253,x1254,x1251)
% 1.08/1.20 [126]~P63(x1261)+P63(x1262)+~E(x1261,x1262)
% 1.08/1.20 [127]~P45(x1271)+P45(x1272)+~E(x1271,x1272)
% 1.08/1.20 [128]~P28(x1281)+P28(x1282)+~E(x1281,x1282)
% 1.08/1.20 [129]~P42(x1291)+P42(x1292)+~E(x1291,x1292)
% 1.08/1.20 [130]~P32(x1301)+P32(x1302)+~E(x1301,x1302)
% 1.08/1.20 [131]~P17(x1311)+P17(x1312)+~E(x1311,x1312)
% 1.08/1.20 [132]~P64(x1321)+P64(x1322)+~E(x1321,x1322)
% 1.08/1.20 [133]~P16(x1331)+P16(x1332)+~E(x1331,x1332)
% 1.08/1.20 [134]~P41(x1341)+P41(x1342)+~E(x1341,x1342)
% 1.08/1.20 [135]~P66(x1351)+P66(x1352)+~E(x1351,x1352)
% 1.08/1.20 [136]~P62(x1361)+P62(x1362)+~E(x1361,x1362)
% 1.08/1.20 [137]~P70(x1371)+P70(x1372)+~E(x1371,x1372)
% 1.08/1.20 [138]~P22(x1381)+P22(x1382)+~E(x1381,x1382)
% 1.08/1.20 [139]~P67(x1391)+P67(x1392)+~E(x1391,x1392)
% 1.08/1.20 [140]~P29(x1401)+P29(x1402)+~E(x1401,x1402)
% 1.08/1.20 [141]~P40(x1411)+P40(x1412)+~E(x1411,x1412)
% 1.08/1.20 [142]~P65(x1421)+P65(x1422)+~E(x1421,x1422)
% 1.08/1.20
% 1.08/1.20 %-------------------------------------------
% 1.08/1.20 cnf(1381,plain,
% 1.08/1.20 (P4(x13811,f11(x13811,x13811,a2),a2)),
% 1.08/1.20 inference(rename_variables,[],[223])).
% 1.08/1.20 cnf(1386,plain,
% 1.08/1.20 (P4(x13861,f11(x13861,x13861,a2),a2)),
% 1.08/1.20 inference(rename_variables,[],[223])).
% 1.08/1.20 cnf(1392,plain,
% 1.08/1.20 (P4(x13921,f11(x13921,x13921,a2),a2)),
% 1.08/1.20 inference(rename_variables,[],[223])).
% 1.08/1.20 cnf(1398,plain,
% 1.08/1.20 (~P3(f9(x13981,x13982,a2),x13982,a2)),
% 1.08/1.20 inference(rename_variables,[],[306])).
% 1.08/1.20 cnf(1403,plain,
% 1.08/1.20 (~P3(f9(x14031,x14032,a2),x14032,a2)),
% 1.08/1.20 inference(rename_variables,[],[306])).
% 1.08/1.20 cnf(1406,plain,
% 1.08/1.20 (~P3(f9(x14061,x14062,a2),x14062,a2)),
% 1.08/1.20 inference(rename_variables,[],[306])).
% 1.08/1.20 cnf(1409,plain,
% 1.08/1.20 (~P4(f9(x14091,f10(a2),a2),x14091,a2)),
% 1.08/1.20 inference(rename_variables,[],[308])).
% 1.08/1.20 cnf(1417,plain,
% 1.08/1.20 ($false),
% 1.08/1.20 inference(scs_inference,[],[309,143,215,223,1381,1386,1392,306,1398,1403,1406,308,1409,270,244,2,931,930,855,839,838,837,768,758,757,755,753,751,709,328]),
% 1.08/1.20 ['proof']).
% 1.08/1.20 % SZS output end Proof
% 1.08/1.20 % Total time :0.070000s
%------------------------------------------------------------------------------