TSTP Solution File: SWV824-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV824-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:35:23 EDT 2023
% Result : Unsatisfiable 1.77s 1.85s
% Output : CNFRefutation 1.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV824-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 05:22:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 1.70/1.79 %-------------------------------------------
% 1.70/1.79 % File :CSE---1.6
% 1.70/1.79 % Problem :theBenchmark
% 1.70/1.79 % Transform :cnf
% 1.70/1.79 % Format :tptp:raw
% 1.70/1.79 % Command :java -jar mcs_scs.jar %d %s
% 1.70/1.79
% 1.70/1.79 % Result :Theorem 0.960000s
% 1.70/1.79 % Output :CNFRefutation 0.960000s
% 1.70/1.79 %-------------------------------------------
% 1.70/1.80 %------------------------------------------------------------------------------
% 1.70/1.80 % File : SWV824-1 : TPTP v8.1.2. Released v4.1.0.
% 1.70/1.80 % Domain : Software Verification
% 1.70/1.80 % Problem : Hoare logic with procedures 145_1
% 1.70/1.80 % Version : Especial.
% 1.70/1.80 % English : Completeness is taken relative to completeness of the underlying
% 1.70/1.80 % logic. Two versions of completeness proof: nested single recursion
% 1.70/1.80 % and simultaneous recursion in call rule.
% 1.70/1.80
% 1.70/1.80 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 1.70/1.80 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 1.70/1.80 % Source : [Nip10]
% 1.70/1.80 % Names : Hoare-145_1 [Nip10]
% 1.70/1.80
% 1.70/1.80 % Status : Unsatisfiable
% 1.70/1.80 % 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, 0.45 v5.3.0, 0.44 v5.2.0, 0.38 v5.1.0, 0.41 v5.0.0, 0.36 v4.1.0
% 1.70/1.80 % Syntax : Number of clauses : 701 ( 132 unt; 83 nHn; 430 RR)
% 1.70/1.80 % Number of literals : 1768 ( 405 equ;1014 neg)
% 1.70/1.80 % Maximal clause size : 6 ( 2 avg)
% 1.70/1.80 % Maximal term depth : 5 ( 1 avg)
% 1.70/1.80 % Number of predicates : 47 ( 46 usr; 0 prp; 1-4 aty)
% 1.70/1.80 % Number of functors : 21 ( 21 usr; 8 con; 0-6 aty)
% 1.70/1.80 % Number of variables : 2032 ( 153 sgn)
% 1.70/1.80 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.70/1.80
% 1.70/1.80 % Comments :
% 1.70/1.80 %------------------------------------------------------------------------------
% 1.70/1.80 cnf(cls_Suc__diff__le_0,axiom,
% 1.70/1.80 ( 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))
% 1.70/1.80 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_sum__squares__ge__zero_0,axiom,
% 1.70/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.70/1.80 | 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) ) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_mod__by__0_0,axiom,
% 1.70/1.80 ( ~ class_Divides_Osemiring__div(T_a)
% 1.70/1.80 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_mod__self_0,axiom,
% 1.70/1.80 ( ~ class_Divides_Osemiring__div(T_a)
% 1.70/1.80 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 1.70/1.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.70/1.80 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 1.70/1.80 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.70/1.80 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_nat__add__commute_0,axiom,
% 1.70/1.80 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_less__add__eq__less_0,axiom,
% 1.70/1.80 ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 1.70/1.80 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 1.70/1.80 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 1.70/1.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.70/1.80 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_mult__eq__1__iff_0,axiom,
% 1.70/1.80 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.70/1.80 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_mult__eq__1__iff_1,axiom,
% 1.70/1.80 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.70/1.80 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_mod__le__divisor_0,axiom,
% 1.70/1.80 ( c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 1.70/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_diff__less__mono2_0,axiom,
% 1.70/1.80 ( 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)
% 1.70/1.80 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 1.70/1.80 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 1.70/1.80 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.70/1.80 | ~ class_Int_Onumber__ring(T_a)
% 1.70/1.80 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 1.70/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_add__eq__self__zero_0,axiom,
% 1.70/1.80 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m
% 1.70/1.80 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 1.70/1.80 ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat)
% 1.70/1.80 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.70/1.80
% 1.70/1.80 cnf(cls_mult__less__imp__less__right_0,axiom,
% 1.70/1.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.70/1.80 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.70/1.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.70/1.81 | ~ 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) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_le__add__iff1_0,axiom,
% 1.70/1.81 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.70/1.81 | 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)
% 1.70/1.81 | ~ 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) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_le__add__iff1_1,axiom,
% 1.70/1.81 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.70/1.81 | 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)
% 1.70/1.81 | ~ 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) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_le__add__iff2_0,axiom,
% 1.70/1.81 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.70/1.81 | 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)
% 1.70/1.81 | ~ 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) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_le__add__iff2_1,axiom,
% 1.70/1.81 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.70/1.81 | 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)
% 1.70/1.81 | ~ 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) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_trans__less__add2_0,axiom,
% 1.70/1.81 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 1.70/1.81 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_trans__less__add1_0,axiom,
% 1.70/1.81 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 1.70/1.81 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_add__lessD1_0,axiom,
% 1.70/1.81 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 1.70/1.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 1.70/1.81 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 1.70/1.81 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 1.70/1.81 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 1.70/1.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_less__eq__Suc__le_1,axiom,
% 1.70/1.81 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 1.70/1.81 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_less__eq__Suc__le_0,axiom,
% 1.70/1.81 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 1.70/1.81 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_Suc__le__eq_0,axiom,
% 1.70/1.81 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.70/1.81 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_Suc__leI_0,axiom,
% 1.70/1.81 ( c_lessequals(c_Suc(V_m),V_n,tc_nat)
% 1.70/1.81 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_add__increasing2_0,axiom,
% 1.70/1.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.70/1.81 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.70/1.81 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 1.70/1.81 | ~ c_lessequals(V_b,V_a,T_a)
% 1.70/1.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_add__increasing_0,axiom,
% 1.70/1.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.70/1.81 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.70/1.81 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 1.70/1.81 | ~ c_lessequals(V_b,V_c,T_a)
% 1.70/1.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
% 1.70/1.81 ( ~ class_Orderings_Olinorder(T_a)
% 1.70/1.81 | 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) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
% 1.70/1.81 ( ~ class_Orderings_Olinorder(T_a)
% 1.70/1.81 | 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) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_com_Osimps_I3_J_0,axiom,
% 1.70/1.81 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 1.70/1.81 | V_com1 = V_com1_H ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_com_Osimps_I3_J_1,axiom,
% 1.70/1.81 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 1.70/1.81 | V_com2 = V_com2_H ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_le__maxI2_0,axiom,
% 1.70/1.81 ( ~ class_Orderings_Olinorder(T_a)
% 1.70/1.81 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_le__maxI1_0,axiom,
% 1.70/1.81 ( ~ class_Orderings_Olinorder(T_a)
% 1.70/1.81 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_min__max_Ole__supI_0,axiom,
% 1.70/1.81 ( ~ class_Orderings_Olinorder(T_a)
% 1.70/1.81 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a)
% 1.70/1.81 | ~ c_lessequals(V_b,V_x,T_a)
% 1.70/1.81 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_min__max_Osup__least_0,axiom,
% 1.70/1.81 ( ~ class_Orderings_Olinorder(T_a)
% 1.70/1.81 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a)
% 1.70/1.81 | ~ c_lessequals(V_z,V_x,T_a)
% 1.70/1.81 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_min__max_Ole__sup__iff_2,axiom,
% 1.70/1.81 ( ~ class_Orderings_Olinorder(T_a)
% 1.70/1.81 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 1.70/1.81 | ~ c_lessequals(V_y,V_z,T_a)
% 1.70/1.81 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_le__diff__conv2_1,axiom,
% 1.70/1.81 ( c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 1.70/1.81 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 1.70/1.81 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_le__diff__conv2_0,axiom,
% 1.70/1.81 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 1.70/1.81 | ~ c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 1.70/1.81 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_less__iff__Suc__add_1,axiom,
% 1.70/1.81 c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_less__add__Suc2_0,axiom,
% 1.70/1.81 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_less__add__Suc1_0,axiom,
% 1.70/1.81 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_eq__add__iff1_0,axiom,
% 1.70/1.81 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.70/1.81 | 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)
% 1.70/1.81 | 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 ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_eq__add__iff2_0,axiom,
% 1.70/1.81 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.70/1.81 | 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)
% 1.70/1.81 | 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) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_nat__less__add__iff2_1,axiom,
% 1.70/1.81 ( 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)
% 1.70/1.81 | ~ 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)
% 1.70/1.81 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_nat__less__add__iff2_0,axiom,
% 1.70/1.81 ( 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)
% 1.70/1.81 | ~ 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)
% 1.70/1.81 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_nat__less__add__iff1_1,axiom,
% 1.70/1.81 ( 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)
% 1.70/1.81 | ~ 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)
% 1.70/1.81 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_nat__less__add__iff1_0,axiom,
% 1.70/1.81 ( 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)
% 1.70/1.81 | ~ 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)
% 1.70/1.81 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_eq__add__iff2_1,axiom,
% 1.70/1.81 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.70/1.81 | 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) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_mult__strict__mono_0,axiom,
% 1.70/1.81 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.70/1.81 | 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)
% 1.70/1.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.70/1.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.70/1.81 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.70/1.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_zmod__simps_I4_J_0,axiom,
% 1.70/1.81 ( ~ class_Divides_Osemiring__div(T_a)
% 1.70/1.81 | 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) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_min__max_Oinf__le1_0,axiom,
% 1.70/1.81 ( ~ class_Orderings_Olinorder(T_a)
% 1.70/1.81 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_min__max_Oinf__le2_0,axiom,
% 1.70/1.81 ( ~ class_Orderings_Olinorder(T_a)
% 1.70/1.81 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_min__max_Ole__infI_0,axiom,
% 1.70/1.81 ( ~ class_Orderings_Olinorder(T_a)
% 1.70/1.81 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a)
% 1.70/1.81 | ~ c_lessequals(V_x,V_b,T_a)
% 1.70/1.81 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_min__max_Ole__inf__iff_2,axiom,
% 1.70/1.81 ( ~ class_Orderings_Olinorder(T_a)
% 1.70/1.81 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 1.70/1.81 | ~ c_lessequals(V_x,V_z,T_a)
% 1.70/1.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_min__max_Oinf__greatest_0,axiom,
% 1.70/1.81 ( ~ class_Orderings_Olinorder(T_a)
% 1.70/1.81 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 1.70/1.81 | ~ c_lessequals(V_x,V_z,T_a)
% 1.70/1.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_eq__add__iff1_1,axiom,
% 1.70/1.81 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.70/1.81 | 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) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_diff__is__0__eq_1,axiom,
% 1.70/1.81 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.70/1.81 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_diff__is__0__eq_0,axiom,
% 1.70/1.81 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.70/1.81 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_min__diff__distrib__left_0,axiom,
% 1.70/1.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.70/1.81 | 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) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_max__less__iff__conj_2,axiom,
% 1.70/1.81 ( ~ class_Orderings_Olinorder(T_a)
% 1.70/1.81 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 1.70/1.81 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 1.70/1.81 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_diff__Suc__diff__eq2_0,axiom,
% 1.70/1.81 ( 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)
% 1.70/1.81 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_add__strict__increasing_0,axiom,
% 1.70/1.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.70/1.81 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.70/1.81 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 1.70/1.81 | ~ c_lessequals(V_b,V_c,T_a)
% 1.70/1.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_add__is__1_4,axiom,
% 1.70/1.81 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)) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_mod__mod__trivial_0,axiom,
% 1.70/1.81 ( ~ class_Divides_Osemiring__div(T_a)
% 1.70/1.81 | 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) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_mod__0_0,axiom,
% 1.70/1.81 ( ~ class_Divides_Osemiring__div(T_a)
% 1.70/1.81 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_min__less__iff__conj_2,axiom,
% 1.70/1.81 ( ~ class_Orderings_Olinorder(T_a)
% 1.70/1.81 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a)
% 1.70/1.81 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 1.70/1.81 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 1.70/1.81
% 1.70/1.81 cnf(cls_natgb_Oadd__mul__solve_1,axiom,
% 1.70/1.81 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) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_natgb_Onoteq__reduce_1,axiom,
% 1.70/1.82 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) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 1.70/1.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.70/1.82 | ~ class_Int_Onumber__ring(T_a)
% 1.70/1.82 | 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) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 1.70/1.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.70/1.82 | ~ class_Int_Onumber__ring(T_a)
% 1.70/1.82 | 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) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_less__Suc0_0,axiom,
% 1.70/1.82 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.70/1.82 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 1.70/1.82 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.70/1.82 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.70/1.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 1.70/1.82 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.70/1.82 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 1.70/1.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_min__max_Oinf__left__idem_0,axiom,
% 1.70/1.82 ( ~ class_Orderings_Olinorder(T_a)
% 1.70/1.82 | 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) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_nat__diff__add__eq2_0,axiom,
% 1.70/1.82 ( 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)
% 1.70/1.82 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_nat__diff__add__eq1_0,axiom,
% 1.70/1.82 ( 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)
% 1.70/1.82 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_diff__add__cancel_0,axiom,
% 1.70/1.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.70/1.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_mult__le__cancel2_1,axiom,
% 1.70/1.82 ( 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)
% 1.70/1.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_mult__le__cancel1_1,axiom,
% 1.70/1.82 ( 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)
% 1.70/1.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_com_Osimps_I49_J_0,axiom,
% 1.70/1.82 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_add__le__mono_0,axiom,
% 1.70/1.82 ( 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)
% 1.70/1.82 | ~ c_lessequals(V_k,V_l,tc_nat)
% 1.70/1.82 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_add__mono_0,axiom,
% 1.70/1.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 1.70/1.82 | 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)
% 1.70/1.82 | ~ c_lessequals(V_c,V_d,T_a)
% 1.70/1.82 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_less__Suc__eq__le_1,axiom,
% 1.70/1.82 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 1.70/1.82 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_less__Suc__eq__le_0,axiom,
% 1.70/1.82 ( c_lessequals(V_m,V_n,tc_nat)
% 1.70/1.82 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_le__less__Suc__eq_1,axiom,
% 1.70/1.82 ( ~ c_lessequals(V_x,V_x,tc_nat)
% 1.70/1.82 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_class__semiring_Omul__c_0,axiom,
% 1.70/1.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.70/1.82 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_nat__mult__commute_0,axiom,
% 1.70/1.82 c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_double__eq__0__iff_1,axiom,
% 1.70/1.82 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.70/1.82 | 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) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_add__is__0_2,axiom,
% 1.70/1.82 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) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 1.70/1.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.70/1.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.70/1.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.70/1.82 | 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) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 1.70/1.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.70/1.82 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_diff__less__Suc_0,axiom,
% 1.70/1.82 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 1.70/1.82
% 1.70/1.82 cnf(cls_mod__add__eq_0,axiom,
% 1.70/1.82 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.82 | 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_add__nonneg__nonneg_0,axiom,
% 1.77/1.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.77/1.82 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 1.77/1.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_order__less__trans_0,axiom,
% 1.77/1.82 ( ~ class_Orderings_Opreorder(T_a)
% 1.77/1.82 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 1.77/1.82 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 1.77/1.82 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_xt1_I10_J_0,axiom,
% 1.77/1.82 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.82 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 1.77/1.82 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 1.77/1.82 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_min__max_Ole__iff__sup_0,axiom,
% 1.77/1.82 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.82 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y
% 1.77/1.82 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_min__max_Ole__iff__sup_1,axiom,
% 1.77/1.82 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.82 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y
% 1.77/1.82 | c_lessequals(V_x,V_y,T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_min__max_Osup__absorb1_0,axiom,
% 1.77/1.82 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.82 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x
% 1.77/1.82 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 1.77/1.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.82 | 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_add__cancel__21_1,axiom,
% 1.77/1.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.77/1.82 | 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_nat__add__left__commute_0,axiom,
% 1.77/1.82 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) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_nat__add__assoc_0,axiom,
% 1.77/1.82 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) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 1.77/1.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.77/1.82 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 1.77/1.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.77/1.82 | 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 1.77/1.82 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 1.77/1.82 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 1.77/1.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.82 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 1.77/1.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.82 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 1.77/1.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.82 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 1.77/1.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.82 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_add__gr__0_0,axiom,
% 1.77/1.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.77/1.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 1.77/1.82 | ~ 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_gr__implies__not0_0,axiom,
% 1.77/1.82 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_mult__less__imp__less__left_0,axiom,
% 1.77/1.82 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.77/1.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.82 | ~ 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_mult__right__less__imp__less_0,axiom,
% 1.77/1.82 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 1.77/1.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.82 | ~ 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_mult__left__less__imp__less_0,axiom,
% 1.77/1.82 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 1.77/1.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.82 | ~ 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 1.77/1.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.77/1.82 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_right__minus__eq_1,axiom,
% 1.77/1.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.77/1.82 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_diff__0__right_0,axiom,
% 1.77/1.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.77/1.82 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_diff__self_0,axiom,
% 1.77/1.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.77/1.82 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_diff__self__eq__0_0,axiom,
% 1.77/1.82 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 1.77/1.82 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 1.77/1.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.77/1.82 | ~ class_Int_Onumber__ring(T_a)
% 1.77/1.82 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_mod__mult__eq_0,axiom,
% 1.77/1.82 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.82 | 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_le__max__iff__disj_0,axiom,
% 1.77/1.82 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.82 | c_lessequals(V_z,V_y,T_a)
% 1.77/1.82 | c_lessequals(V_z,V_x,T_a)
% 1.77/1.82 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_nat__eq__add__iff1_1,axiom,
% 1.77/1.82 ( ~ c_lessequals(V_j,V_i,tc_nat)
% 1.77/1.82 | 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_nat__mult__eq__cancel__disj_0,axiom,
% 1.77/1.82 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 1.77/1.82 | V_m = V_n
% 1.77/1.82 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_mult__cancel1_0,axiom,
% 1.77/1.82 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 1.77/1.82 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.77/1.82 | V_m = V_n ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_mult__cancel2_0,axiom,
% 1.77/1.82 ( c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat) != c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat)
% 1.77/1.82 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.77/1.82 | V_m = V_n ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_min__max_Ole__inf__iff_1,axiom,
% 1.77/1.82 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.82 | c_lessequals(V_x,V_z,T_a)
% 1.77/1.82 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_min__max_Ole__inf__iff_0,axiom,
% 1.77/1.82 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.82 | c_lessequals(V_x,V_y,T_a)
% 1.77/1.82 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_min__le__iff__disj_2,axiom,
% 1.77/1.82 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.82 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 1.77/1.82 | ~ c_lessequals(V_y,V_z,T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_min__le__iff__disj_1,axiom,
% 1.77/1.82 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.82 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 1.77/1.82 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_min__max_Ole__infI2_0,axiom,
% 1.77/1.82 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.82 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 1.77/1.82 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_min__max_Ole__infI1_0,axiom,
% 1.77/1.82 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.82 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 1.77/1.82 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_min__max_Ole__infE_1,axiom,
% 1.77/1.82 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.82 | c_lessequals(V_x,V_b,T_a)
% 1.77/1.82 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_min__max_Ole__infE_0,axiom,
% 1.77/1.82 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.82 | c_lessequals(V_x,V_a,T_a)
% 1.77/1.82 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_min__0L_0,axiom,
% 1.77/1.82 c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_min__0R_0,axiom,
% 1.77/1.82 c_Orderings_Oord__class_Omin(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 1.77/1.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.77/1.82 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.77/1.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.77/1.82 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 1.77/1.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.77/1.82 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.77/1.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.77/1.82 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_add__is__0_0,axiom,
% 1.77/1.82 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.77/1.82 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_add__is__0_1,axiom,
% 1.77/1.82 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.77/1.82 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_double__eq__0__iff_0,axiom,
% 1.77/1.82 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.77/1.82 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_less__add__iff2_1,axiom,
% 1.77/1.82 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.77/1.82 | 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)
% 1.77/1.82 | ~ 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_less__add__iff2_0,axiom,
% 1.77/1.82 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.77/1.82 | 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)
% 1.77/1.82 | ~ 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_less__add__iff1_1,axiom,
% 1.77/1.82 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.77/1.82 | 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)
% 1.77/1.82 | ~ 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_less__add__iff1_0,axiom,
% 1.77/1.82 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.77/1.82 | 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)
% 1.77/1.82 | ~ 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_le__mod__geq_0,axiom,
% 1.77/1.82 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)
% 1.77/1.82 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_nat__eq__add__iff1_0,axiom,
% 1.77/1.82 ( 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)
% 1.77/1.82 | ~ c_lessequals(V_j,V_i,tc_nat)
% 1.77/1.82 | 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 ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_nat__eq__add__iff2_0,axiom,
% 1.77/1.82 ( 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)
% 1.77/1.82 | ~ c_lessequals(V_i,V_j,tc_nat)
% 1.77/1.82 | 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_min__le__iff__disj_0,axiom,
% 1.77/1.82 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.82 | c_lessequals(V_y,V_z,T_a)
% 1.77/1.82 | c_lessequals(V_x,V_z,T_a)
% 1.77/1.82 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_nat__eq__add__iff2_1,axiom,
% 1.77/1.82 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 1.77/1.82 | 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) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_mult__eq__0__iff_0,axiom,
% 1.77/1.82 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 1.77/1.82 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.82 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_no__zero__divisors_0,axiom,
% 1.77/1.82 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.77/1.82 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.82 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.82
% 1.77/1.82 cnf(cls_mult__is__0_0,axiom,
% 1.77/1.83 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.77/1.83 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.77/1.83 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.77/1.83 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.83 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.83 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mod__add__cong_0,axiom,
% 1.77/1.83 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.83 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 1.77/1.83 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 1.77/1.83 | 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_less__Suc0_1,axiom,
% 1.77/1.83 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 1.77/1.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 1.77/1.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_even__less__0__iff_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_even__less__0__iff_1,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_one__is__add_1,axiom,
% 1.77/1.83 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 1.77/1.83 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.77/1.83 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_one__is__add_2,axiom,
% 1.77/1.83 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 1.77/1.83 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.77/1.83 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_zero__less__mult__pos2_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_zero__less__mult__pos_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__pos__pos_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__neg__neg_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_nat__0__less__mult__iff_2,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Ole__sup__iff_1,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_lessequals(V_y,V_z,T_a)
% 1.77/1.83 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Ole__sup__iff_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_lessequals(V_x,V_z,T_a)
% 1.77/1.83 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_le__max__iff__disj_2,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 1.77/1.83 | ~ c_lessequals(V_z,V_y,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_le__max__iff__disj_1,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 1.77/1.83 | ~ c_lessequals(V_z,V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Ole__supI2_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 1.77/1.83 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Ole__supI1_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 1.77/1.83 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Ole__supE_1,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_lessequals(V_b,V_x,T_a)
% 1.77/1.83 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Ole__supE_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_lessequals(V_a,V_x,T_a)
% 1.77/1.83 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_le__diff__conv_0,axiom,
% 1.77/1.83 ( c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat)
% 1.77/1.83 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_le__diff__conv_1,axiom,
% 1.77/1.83 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)
% 1.77/1.83 | ~ c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_less__max__iff__disj_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__Suc__right_0,axiom,
% 1.77/1.83 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) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__Suc_0,axiom,
% 1.77/1.83 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) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.83 | ~ 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_nat__le__add__iff1_0,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | ~ 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)
% 1.77/1.83 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_nat__le__add__iff1_1,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | ~ 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)
% 1.77/1.83 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_nat__le__add__iff2_0,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | ~ 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)
% 1.77/1.83 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_nat__le__add__iff2_1,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | ~ 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)
% 1.77/1.83 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mod__mult__self4_0,axiom,
% 1.77/1.83 c_Divides_Odiv__class_Omod(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),V_m,tc_nat)),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__less__iff__disj_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.77/1.83 | ~ class_Int_Onumber__ring(T_a)
% 1.77/1.83 | 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)
% 1.77/1.83 | V_y = V_z
% 1.77/1.83 | V_w = V_x ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.77/1.83 | ~ class_Int_Onumber__ring(T_a)
% 1.77/1.83 | 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)
% 1.77/1.83 | V_c = V_d
% 1.77/1.83 | V_a = V_b ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_natgb_Onoteq__reduce_0,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | V_c = V_d
% 1.77/1.83 | V_a = V_b ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_natgb_Oadd__mul__solve_0,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | V_y = V_z
% 1.77/1.83 | V_w = V_x ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_add__nonpos__neg_0,axiom,
% 1.77/1.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.77/1.83 | 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)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_add__neg__nonpos_0,axiom,
% 1.77/1.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.77/1.83 | 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)
% 1.77/1.83 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.83 | 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mod__mult__cong_0,axiom,
% 1.77/1.83 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.83 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 1.77/1.83 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 1.77/1.83 | 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_diff__add__assoc_0,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_diff__add__assoc2_0,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__eq__1__iff_2,axiom,
% 1.77/1.83 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)) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.83 | 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.83 | 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.83 | 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.83 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.83 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__eq__0__iff_2,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 1.77/1.83 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__eq__0__iff_1,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 1.77/1.83 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__zero__right_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.77/1.83 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__zero__left_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.77/1.83 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__is__0_1,axiom,
% 1.77/1.83 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__is__0_2,axiom,
% 1.77/1.83 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_class__semiring_Omul__0_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.83 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_not__less0_0,axiom,
% 1.77/1.83 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_one__le__mult__iff_1,axiom,
% 1.77/1.83 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 1.77/1.83 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_one__le__mult__iff_0,axiom,
% 1.77/1.83 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 1.77/1.83 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_add__cancel__21_0,axiom,
% 1.77/1.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.77/1.83 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)
% 1.77/1.83 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_trans__le__add2_0,axiom,
% 1.77/1.83 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 1.77/1.83 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_trans__le__add1_0,axiom,
% 1.77/1.83 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 1.77/1.83 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_add__leE_1,axiom,
% 1.77/1.83 ( c_lessequals(V_k,V_n,tc_nat)
% 1.77/1.83 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_add__leE_0,axiom,
% 1.77/1.83 ( c_lessequals(V_m,V_n,tc_nat)
% 1.77/1.83 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_termination__basic__simps_I4_J_0,axiom,
% 1.77/1.83 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 1.77/1.83 | ~ c_lessequals(V_x,V_z,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_termination__basic__simps_I3_J_0,axiom,
% 1.77/1.83 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 1.77/1.83 | ~ c_lessequals(V_x,V_y,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mod__diff__left__eq_0,axiom,
% 1.77/1.83 ( ~ class_Divides_Oring__div(T_a)
% 1.77/1.83 | 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mod__diff__right__eq_0,axiom,
% 1.77/1.83 ( ~ class_Divides_Oring__div(T_a)
% 1.77/1.83 | 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Ole__iff__inf_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x
% 1.77/1.83 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Ole__iff__inf_1,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x
% 1.77/1.83 | c_lessequals(V_x,V_y,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Oinf__absorb2_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y
% 1.77/1.83 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_max__diff__distrib__left_0,axiom,
% 1.77/1.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.77/1.83 | 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_com_Osimps_I48_J_0,axiom,
% 1.77/1.83 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OBODY(V_pname_H) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mod__less__divisor_0,axiom,
% 1.77/1.83 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_not__leE_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.77/1.83 | c_lessequals(V_y,V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_linorder__antisym__conv2_1,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | ~ c_lessequals(V_x,V_x,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_linorder__antisym__conv1_1,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 1.77/1.83 | c_lessequals(V_x,V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_linorder__not__less_1,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.77/1.83 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_linorder__not__less_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_lessequals(V_y,V_x,T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_linorder__not__le_1,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | ~ c_lessequals(V_x,V_y,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_linorder__not__le_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.77/1.83 | c_lessequals(V_x,V_y,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_less__le__not__le_1,axiom,
% 1.77/1.83 ( ~ class_Orderings_Opreorder(T_a)
% 1.77/1.83 | ~ c_lessequals(V_y,V_x,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mod__add__left__eq_0,axiom,
% 1.77/1.83 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.83 | 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mod__add__right__eq_0,axiom,
% 1.77/1.83 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.83 | 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Oinf__assoc_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Oinf__left__commute_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_one__is__add_5,axiom,
% 1.77/1.83 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) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_add__strict__increasing2_0,axiom,
% 1.77/1.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.77/1.83 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 1.77/1.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_diff__le__mono2_0,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_diff__le__mono_0,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_le__diff__iff_1,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | ~ c_lessequals(V_m,V_n,tc_nat)
% 1.77/1.83 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.77/1.83 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_le__diff__iff_0,axiom,
% 1.77/1.83 ( c_lessequals(V_m,V_n,tc_nat)
% 1.77/1.83 | ~ 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)
% 1.77/1.83 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.77/1.83 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_diff__add__0_0,axiom,
% 1.77/1.83 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) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_diff__diff__left_0,axiom,
% 1.77/1.83 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) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_eq__eqI_1,axiom,
% 1.77/1.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.77/1.83 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 1.77/1.83 | V_xa = V_y ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_eq__eqI_0,axiom,
% 1.77/1.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.77/1.83 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 1.77/1.83 | V_x_H = V_y_H ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_eq__diff__iff_0,axiom,
% 1.77/1.83 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat)
% 1.77/1.83 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.77/1.83 | ~ c_lessequals(V_k,V_m,tc_nat)
% 1.77/1.83 | V_m = V_n ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Oinf__sup__absorb_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_nat__mult__eq__cancel1_0,axiom,
% 1.77/1.83 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.77/1.83 | V_m = V_n ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_one__is__add_3,axiom,
% 1.77/1.83 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 1.77/1.83 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.77/1.83 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_one__is__add_0,axiom,
% 1.77/1.83 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 1.77/1.83 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.77/1.83 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__less__cancel2_0,axiom,
% 1.77/1.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.77/1.83 | ~ 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__less__cancel1_0,axiom,
% 1.77/1.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.77/1.83 | ~ 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__le__cancel2_0,axiom,
% 1.77/1.83 ( c_lessequals(V_m,V_n,tc_nat)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.77/1.83 | ~ 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__le__cancel1_0,axiom,
% 1.77/1.83 ( c_lessequals(V_m,V_n,tc_nat)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.77/1.83 | ~ 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_nat__mult__le__cancel1_0,axiom,
% 1.77/1.83 ( c_lessequals(V_m,V_n,tc_nat)
% 1.77/1.83 | ~ 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)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_nat__mult__le__cancel1_1,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | ~ c_lessequals(V_m,V_n,tc_nat)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.83 | c_lessequals(V_b,V_a,T_a)
% 1.77/1.83 | ~ 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)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.83 | 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)
% 1.77/1.83 | ~ c_lessequals(V_b,V_a,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.83 | c_lessequals(V_a,V_b,T_a)
% 1.77/1.83 | ~ 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)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.83 | 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)
% 1.77/1.83 | ~ c_lessequals(V_a,V_b,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__left__le__imp__le_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.77/1.83 | c_lessequals(V_a,V_b,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.83 | ~ 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__right__le__imp__le_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.77/1.83 | c_lessequals(V_a,V_b,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.83 | ~ 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_one__less__mult_0,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_evalc_OSemi_0,axiom,
% 1.77/1.83 ( c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_s2)
% 1.77/1.83 | ~ c_Natural_Oevalc(V_c1,V_s1,V_s2)
% 1.77/1.83 | ~ c_Natural_Oevalc(V_c0,V_s0,V_s1) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_diff__0__eq__0_0,axiom,
% 1.77/1.83 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_diff__cancel2_0,axiom,
% 1.77/1.83 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) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_diff__cancel_0,axiom,
% 1.77/1.83 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) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_zero__less__Suc_0,axiom,
% 1.77/1.83 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_gr0__conv__Suc_1,axiom,
% 1.77/1.83 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Oless__supI1_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Oless__supI2_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_less__max__iff__disj_1,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_less__max__iff__disj_2,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_max__less__iff__conj_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_max__less__iff__conj_1,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Oinf__commute_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_left__add__mult__distrib_0,axiom,
% 1.77/1.83 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) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_combine__common__factor_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 1.77/1.83 | 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_diff__le__self_0,axiom,
% 1.77/1.83 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_nat__0__less__mult__iff_1,axiom,
% 1.77/1.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.77/1.83 | ~ 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_nat__0__less__mult__iff_0,axiom,
% 1.77/1.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 1.77/1.83 | ~ 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_add__neg__neg_0,axiom,
% 1.77/1.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.77/1.83 | 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)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.77/1.83 | ~ class_Int_Onumber__ring(T_a)
% 1.77/1.83 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.83 | V_x = V_y ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_right__minus__eq_0,axiom,
% 1.77/1.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.77/1.83 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.83 | V_a = V_b ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 1.77/1.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.77/1.83 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.83 | V_a = V_b ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.83 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.83 | ~ 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.83 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.83 | ~ 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) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_diff__mult__distrib2_0,axiom,
% 1.77/1.83 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) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_diff__mult__distrib_0,axiom,
% 1.77/1.83 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) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Oless__infI1_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Oless__infI2_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__less__iff__conj_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__less__iff__conj_1,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__less__iff__disj_1,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__less__iff__disj_2,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_Nat_Odiff__diff__eq_0,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.77/1.83 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_diff__commute_0,axiom,
% 1.77/1.83 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) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_le0_0,axiom,
% 1.77/1.83 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_add__nonneg__pos_0,axiom,
% 1.77/1.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.77/1.83 | 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)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_add__pos__nonneg_0,axiom,
% 1.77/1.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.77/1.83 | 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)
% 1.77/1.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_diff__less__mono_0,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | ~ c_lessequals(V_c,V_a,tc_nat)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__le__0__iff_4,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.83 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.83 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mult__le__0__iff_5,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.83 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_split__mult__neg__le_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.77/1.83 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.83 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_split__mult__neg__le_1,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.77/1.83 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_diff__diff__right_0,axiom,
% 1.77/1.83 ( 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)
% 1.77/1.83 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mod__1_0,axiom,
% 1.77/1.83 c_Divides_Odiv__class_Omod(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_less__imp__diff__less_0,axiom,
% 1.77/1.83 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_mod__if_0,axiom,
% 1.77/1.83 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = V_m
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_one__is__add_4,axiom,
% 1.77/1.83 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) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_less__le__not__le_2,axiom,
% 1.77/1.83 ( ~ class_Orderings_Opreorder(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.77/1.83 | c_lessequals(V_y,V_x,T_a)
% 1.77/1.83 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_nat__less__le_1,axiom,
% 1.77/1.83 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_less__not__refl_0,axiom,
% 1.77/1.83 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_order__less__le_1,axiom,
% 1.77/1.83 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_linorder__neq__iff_1,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_order__less__irrefl_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Opreorder(T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_le__imp__diff__is__add_1,axiom,
% 1.77/1.83 ( ~ c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),tc_nat)
% 1.77/1.83 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),V_i,tc_nat) = V_k ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_min__max_Oinf__idem_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_le__0__eq_0,axiom,
% 1.77/1.83 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.77/1.83 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_add__pos__pos_0,axiom,
% 1.77/1.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.77/1.83 | 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)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_le__add1_0,axiom,
% 1.77/1.83 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_le__add2_0,axiom,
% 1.77/1.83 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_le__iff__add_1,axiom,
% 1.77/1.83 c_lessequals(V_m,c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat),tc_nat) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_nat__minus__add__max_0,axiom,
% 1.77/1.83 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) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_evalc_OSkip_0,axiom,
% 1.77/1.83 c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 1.77/1.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.77/1.83 | V_x = V_y ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 1.77/1.83 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.83 | V_x = V_y
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.77/1.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_le__antisym_0,axiom,
% 1.77/1.83 ( V_m = V_n
% 1.77/1.83 | ~ c_lessequals(V_n,V_m,tc_nat)
% 1.77/1.83 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.77/1.83
% 1.77/1.83 cnf(cls_nat__neq__iff_0,axiom,
% 1.77/1.83 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.84 | V_m = V_n ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_com__det_0,axiom,
% 1.77/1.84 ( V_u = V_t
% 1.77/1.84 | ~ c_Natural_Oevalc(V_c,V_s,V_u)
% 1.77/1.84 | ~ c_Natural_Oevalc(V_c,V_s,V_t) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_diffs0__imp__equal_0,axiom,
% 1.77/1.84 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.77/1.84 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.77/1.84 | V_m = V_n ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_linorder__neqE__nat_0,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 1.77/1.84 | V_x = V_y ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_order__eq__iff_2,axiom,
% 1.77/1.84 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.84 | V_x = V_y
% 1.77/1.84 | ~ c_lessequals(V_y,V_x,T_a)
% 1.77/1.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_linorder__neqE_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.77/1.84 | V_x = V_y ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_order__antisym_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.84 | V_x = V_y
% 1.77/1.84 | ~ c_lessequals(V_y,V_x,T_a)
% 1.77/1.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_order__antisym__conv_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.84 | V_x = V_y
% 1.77/1.84 | ~ c_lessequals(V_x,V_y,T_a)
% 1.77/1.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_linorder__less__linear_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.77/1.84 | V_x = V_y
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_linorder__antisym__conv3_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | V_x = V_y
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__diff__cong_0,axiom,
% 1.77/1.84 ( ~ class_Divides_Oring__div(T_a)
% 1.77/1.84 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 1.77/1.84 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__iff__diff__le__0_1,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.77/1.84 | c_lessequals(V_a,V_b,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__iff__diff__le__0_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_min__max_Osup__idem_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__strict__mono_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__less__mono_0,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 1.77/1.84 ( c_lessequals(V_x,V_y,tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_nat__less__le_0,axiom,
% 1.77/1.84 ( c_lessequals(V_m,V_n,tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_order__le__less_1,axiom,
% 1.77/1.84 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.84 | c_lessequals(V_x,V_y,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_order__less__imp__le_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Opreorder(T_a)
% 1.77/1.84 | c_lessequals(V_x,V_y,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_diff__Suc__diff__eq1_0,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_less__iff__diff__less__0_1,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.84 | ~ 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_less__iff__diff__less__0_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.77/1.84 | 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__le__cancel__right_1,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__le__cancel__right_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.77/1.84 | c_lessequals(V_a,V_b,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__le__cancel__left_1,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__le__cancel__left_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.77/1.84 | c_lessequals(V_a,V_b,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__right__mono_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__left__mono_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__le__mono1_0,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_nat__add__left__cancel__le_0,axiom,
% 1.77/1.84 ( c_lessequals(V_m,V_n,tc_nat)
% 1.77/1.84 | ~ 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_nat__add__left__cancel__le_1,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__imp__diff__is__add_0,axiom,
% 1.77/1.84 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 1.77/1.84 | V_j = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_i,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__add__diff__inverse_0,axiom,
% 1.77/1.84 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m
% 1.77/1.84 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__add__diff__inverse2_0,axiom,
% 1.77/1.84 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m
% 1.77/1.84 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel1_1,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.84 | ~ 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel2_1,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.84 | ~ 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__diff__assoc_0,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__diff__assoc2_0,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__left__idem_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_nat__mod__eq__iff_1,axiom,
% 1.77/1.84 ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_n,V_xa,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(V_y,c_HOL_Otimes__class_Otimes(V_n,V_xb,tc_nat),tc_nat)
% 1.77/1.84 | c_Divides_Odiv__class_Omod(V_x,V_n,tc_nat) = c_Divides_Odiv__class_Omod(V_y,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__le__imp__less_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.77/1.84 | ~ c_lessequals(V_c,V_d,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__le__less__imp__less_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_gr0I_0,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.77/1.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_com_Osimps_I13_J_0,axiom,
% 1.77/1.84 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_neq0__conv_1,axiom,
% 1.77/1.84 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__add__self2_0,axiom,
% 1.77/1.84 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__add__self1_0,axiom,
% 1.77/1.84 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__le__0__iff_3,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.84 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__le__0__iff_2,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__le__0__iff_1,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__le__0__iff_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__pos__neg2_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__pos__neg_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__neg__pos_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_n__less__m__mult__n_0,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_n__less__n__mult__m_0,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_less__diff__iff_0,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.84 | ~ 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)
% 1.77/1.84 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.77/1.84 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_less__diff__iff_1,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.84 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.77/1.84 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_pos__add__strict_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.77/1.84 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__cancel1_1,axiom,
% 1.77/1.84 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) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__cancel2_1,axiom,
% 1.77/1.84 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) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_not__add__less1_0,axiom,
% 1.77/1.84 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_not__add__less2_0,axiom,
% 1.77/1.84 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__lemma_0,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,c_Divides_Odiv__class_Omod(V_q,V_c,tc_nat),tc_nat),V_r,tc_nat),c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat),tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_r,V_b,tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_c,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__right__mono__neg_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.77/1.84 | 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)
% 1.77/1.84 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__left__mono__neg_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.77/1.84 | 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)
% 1.77/1.84 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__right__mono_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 1.77/1.84 | 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)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__left__mono_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 1.77/1.84 | 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)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__mono1_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 1.77/1.84 | 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)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__if_1,axiom,
% 1.77/1.84 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.77/1.84 | ~ class_Int_Onumber__ring(T_a)
% 1.77/1.84 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a)
% 1.77/1.84 | V_c = V_d
% 1.77/1.84 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | V_c = V_d
% 1.77/1.84 | V_r = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.84 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.77/1.84 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_not__square__less__zero_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | ~ 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_Suc__mult__less__cancel1_1,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_Suc__mult__less__cancel1_0,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.84 | ~ 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 1.77/1.84 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat)
% 1.77/1.84 | V_y = V_z ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_nat__add__right__cancel_0,axiom,
% 1.77/1.84 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat)
% 1.77/1.84 | V_m = V_n ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_nat__add__left__cancel_0,axiom,
% 1.77/1.84 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 1.77/1.84 | V_m = V_n ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.77/1.84 | ~ class_Int_Onumber__ring(T_a)
% 1.77/1.84 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 1.77/1.84 | V_y = V_z ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__imp__eq_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 1.77/1.84 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 1.77/1.84 | V_b = V_c ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__left__cancel_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 1.77/1.84 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 1.77/1.84 | V_b = V_c ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__right__cancel_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 1.77/1.84 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 1.77/1.84 | V_b = V_c ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__less__eq__dividend_0,axiom,
% 1.77/1.84 c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_min__add__distrib__left_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__add__diff_0,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_lessequals(V_k,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__diff__eq_0,axiom,
% 1.77/1.84 ( ~ class_Divides_Oring__div(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__Suc_0,axiom,
% 1.77/1.84 ( c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) != V_n
% 1.77/1.84 | c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__mult__left__eq_0,axiom,
% 1.77/1.84 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__mult__right__eq_0,axiom,
% 1.77/1.84 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__is__1_3,axiom,
% 1.77/1.84 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.77/1.84 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.77/1.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__is__1_0,axiom,
% 1.77/1.84 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.77/1.84 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.77/1.84 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_Suc__mult__le__cancel1_1,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_Suc__mult__le__cancel1_0,axiom,
% 1.77/1.84 ( c_lessequals(V_m,V_n,tc_nat)
% 1.77/1.84 | ~ 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | 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)
% 1.77/1.84 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | 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)
% 1.77/1.84 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.84 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_com_Osimps_I6_J_0,axiom,
% 1.77/1.84 ( c_Com_Ocom_OBODY(V_pname) != c_Com_Ocom_OBODY(V_pname_H)
% 1.77/1.84 | V_pname = V_pname_H ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_min__max_Osup__commute_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_min__max_Odistrib__inf__le_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_max__0R_0,axiom,
% 1.77/1.84 c_Orderings_Oord__class_Omax(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_n ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_max__0L_0,axiom,
% 1.77/1.84 c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_min__max_Osup__inf__absorb_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__square_0,axiom,
% 1.77/1.84 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_diff__diff__cancel_0,axiom,
% 1.77/1.84 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i
% 1.77/1.84 | ~ c_lessequals(V_i,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__mult__distrib2_0,axiom,
% 1.77/1.84 c_HOL_Otimes__class_Otimes(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__mult__distrib_0,axiom,
% 1.77/1.84 c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_k,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel2_2,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel1_2,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__mono2_0,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__mono1_0,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_nat__mult__less__cancel1_0,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.84 | ~ 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_nat__mult__less__cancel1_1,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__strict__left__mono_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__strict__right__mono_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_com_Osimps_I18_J_0,axiom,
% 1.77/1.84 c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(V_pname_H) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_max__add__distrib__left_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__le__mono_0,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_lessequals(V_k,V_l,tc_nat)
% 1.77/1.84 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__cube_0,axiom,
% 1.77/1.84 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) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__mono_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 1.77/1.84 | 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)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.84 | ~ c_lessequals(V_c,V_d,T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__mono_H_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 1.77/1.84 | 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)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.77/1.84 | ~ c_lessequals(V_c,V_d,T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_min__max_Osup__assoc_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_min__max_Osup__left__commute_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__mult__self3_0,axiom,
% 1.77/1.84 c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),V_m,tc_nat),V_n,tc_nat) = c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__mult__self1_0,axiom,
% 1.77/1.84 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__mult__self2_0,axiom,
% 1.77/1.84 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.84 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.77/1.84 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 1.77/1.84 V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 1.77/1.84 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 1.77/1.84 c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.77/1.84 | ~ class_Int_Onumber__ring(T_a)
% 1.77/1.84 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.77/1.84 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__0__left_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.77/1.84 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.77/1.84 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.84 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.84 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_min__max_Osup__left__idem_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_zero__le__mult__iff_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_zero__le__mult__iff_1,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_zero__le__mult__iff_2,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_zero__le__mult__iff_3,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_id__apply_0,axiom,
% 1.77/1.84 c_Fun_Oid(V_x,T_a) = V_x ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_diff__add__inverse2_0,axiom,
% 1.77/1.84 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_diff__add__inverse_0,axiom,
% 1.77/1.84 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__diff__cancel_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.77/1.84 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__le__less__mono_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__less__le__mono_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_c,V_d,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_evalc__elim__cases_I1_J_0,axiom,
% 1.77/1.84 ( V_t = V_s
% 1.77/1.84 | ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_t) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__gr__0_2,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__gr__0_1,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__0__eq_1,axiom,
% 1.77/1.84 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_less__diff__conv_0,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_less__diff__conv_1,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__strict__right__mono_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__less__cancel__right_1,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__less__cancel__right_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__strict__left__mono_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.77/1.84 | 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__less__cancel__left_1,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.77/1.84 | 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__less__cancel__left_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.84 | ~ 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__less__mono1_0,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.84 | ~ 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_one__le__mult__iff_2,axiom,
% 1.77/1.84 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 1.77/1.84 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 1.77/1.84 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_xt1_I6_J_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.84 | c_lessequals(V_z,V_x,T_a)
% 1.77/1.84 | ~ c_lessequals(V_z,V_y,T_a)
% 1.77/1.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_xt1_I7_J_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 1.77/1.84 | ~ c_lessequals(V_z,V_y,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_xt1_I8_J_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 1.77/1.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__nonpos__nonpos_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_order__trans_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Opreorder(T_a)
% 1.77/1.84 | c_lessequals(V_x,V_z,T_a)
% 1.77/1.84 | ~ c_lessequals(V_y,V_z,T_a)
% 1.77/1.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__refl_0,axiom,
% 1.77/1.84 c_lessequals(V_n,V_n,tc_nat) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__trans_0,axiom,
% 1.77/1.84 ( c_lessequals(V_i,V_k,tc_nat)
% 1.77/1.84 | ~ c_lessequals(V_j,V_k,tc_nat)
% 1.77/1.84 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_eq__imp__le_0,axiom,
% 1.77/1.84 c_lessequals(V_x,V_x,tc_nat) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_order__eq__iff_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.84 | c_lessequals(V_x,V_x,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_order__eq__refl_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Opreorder(T_a)
% 1.77/1.84 | c_lessequals(V_x,V_x,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_order__le__less__trans_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Opreorder(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 1.77/1.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_order__less__le__trans_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Opreorder(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 1.77/1.84 | ~ c_lessequals(V_y,V_z,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__add__right__mono_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.77/1.84 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_c,V_d,T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_min__diff_0,axiom,
% 1.77/1.84 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) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__is__1_5,axiom,
% 1.77/1.84 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)) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__idem_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 1.77/1.84 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__mult__self2__is__0_0,axiom,
% 1.77/1.84 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__mult__self1__is__0_0,axiom,
% 1.77/1.84 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__eq__0__iff_1,axiom,
% 1.77/1.84 c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_d,V_x,tc_nat),V_d,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__strict__mono_H_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__less__Suc__eq_0,axiom,
% 1.77/1.84 ( V_n = V_m
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 1.77/1.84 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_com_Osimps_I19_J_0,axiom,
% 1.77/1.84 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSKIP ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__le__mono1_0,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__le__mono2_0,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__le__cancel1_2,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__le__cancel2_2,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_zero__less__diff_0,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.84 | ~ 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_zero__less__diff_1,axiom,
% 1.77/1.84 ( 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)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_Suc__pred_0,axiom,
% 1.77/1.84 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_diff__less_0,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_min__max_Odistrib__sup__le_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__eqI_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.77/1.84 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 1.77/1.84 | c_lessequals(V_y_H,V_x_H,T_a)
% 1.77/1.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__eqI_1,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.77/1.84 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 1.77/1.84 | c_lessequals(V_y,V_x,T_a)
% 1.77/1.84 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_less__eqI_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.77/1.84 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_less__eqI_1,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.77/1.84 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_zmod__simps_I1_J_0,axiom,
% 1.77/1.84 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_zmod__simps_I2_J_0,axiom,
% 1.77/1.84 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__diff__inverse_0,axiom,
% 1.77/1.84 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_diff__Suc__less_0,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__is__1_1,axiom,
% 1.77/1.84 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.77/1.84 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.77/1.84 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__is__1_2,axiom,
% 1.77/1.84 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.77/1.84 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.77/1.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_min__max_Osup__inf__distrib2_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_min__max_Osup__inf__distrib1_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_xt1_I11_J_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.77/1.84 | V_a = V_b
% 1.77/1.84 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_xt1_I12_J_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.77/1.84 | ~ c_lessequals(V_b,V_a,T_a)
% 1.77/1.84 | V_a = V_b ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_nat__less__le_2,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.84 | V_m = V_n
% 1.77/1.84 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__eq__less__or__eq_0,axiom,
% 1.77/1.84 ( V_m = V_n
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.84 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_le__neq__implies__less_0,axiom,
% 1.77/1.84 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.84 | V_m = V_n
% 1.77/1.84 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_order__le__less_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.84 | V_x = V_y
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.77/1.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_order__less__le_2,axiom,
% 1.77/1.84 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.77/1.84 | V_x = V_y
% 1.77/1.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_order__le__neq__trans_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.84 | V_a = V_b
% 1.77/1.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_order__neq__le__trans_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,V_b,T_a)
% 1.77/1.84 | V_a = V_b ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_linorder__antisym__conv1_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | V_x = V_y
% 1.77/1.84 | ~ c_lessequals(V_x,V_y,T_a)
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_linorder__antisym__conv2_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | V_x = V_y
% 1.77/1.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.77/1.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_zero__le__mult__iff_5,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_zero__le__mult__iff_4,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_zero__le__square_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_split__mult__pos__le_1,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_split__mult__pos__le_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.77/1.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.77/1.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__mult__mult2_0,axiom,
% 1.77/1.84 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_mod__mult__mult1_0,axiom,
% 1.77/1.84 ( ~ class_Divides_Osemiring__div(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 1.77/1.84 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_nat__mult__assoc_0,axiom,
% 1.77/1.84 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) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_class__semiring_Omul__a_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__mult__distrib_0,axiom,
% 1.77/1.84 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) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_add__mult__distrib2_0,axiom,
% 1.77/1.84 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) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_class__semiring_Omul__d_0,axiom,
% 1.77/1.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.77/1.84 | 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) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_com_Osimps_I12_J_0,axiom,
% 1.77/1.84 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_xt1_I9_J_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Oorder(T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.77/1.84 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_nat__le__linear_0,axiom,
% 1.77/1.84 ( c_lessequals(V_n,V_m,tc_nat)
% 1.77/1.84 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.77/1.84
% 1.77/1.84 cnf(cls_linorder__linear_0,axiom,
% 1.77/1.84 ( ~ class_Orderings_Olinorder(T_a)
% 1.77/1.85 | c_lessequals(V_y,V_x,T_a)
% 1.77/1.85 | c_lessequals(V_x,V_y,T_a) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_order__less__asym_0,axiom,
% 1.77/1.85 ( ~ class_Orderings_Opreorder(T_a)
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_order__less__asym_H_0,axiom,
% 1.77/1.85 ( ~ class_Orderings_Opreorder(T_a)
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_Suc__le__mono_1,axiom,
% 1.77/1.85 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat)
% 1.77/1.85 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_Suc__le__mono_0,axiom,
% 1.77/1.85 ( c_lessequals(V_n,V_m,tc_nat)
% 1.77/1.85 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_Suc__mult__cancel1_0,axiom,
% 1.77/1.85 ( 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)
% 1.77/1.85 | V_m = V_n ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_less__SucI_0,axiom,
% 1.77/1.85 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_Suc__lessD_0,axiom,
% 1.77/1.85 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_evaln__nonstrict_0,axiom,
% 1.77/1.85 ( c_Natural_Oevaln(V_c,V_s,V_m,V_t)
% 1.77/1.85 | ~ c_lessequals(V_n,V_m,tc_nat)
% 1.77/1.85 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_t) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_mod__Suc__eq__Suc__mod_0,axiom,
% 1.77/1.85 c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)),V_n,tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_n__not__Suc__n_0,axiom,
% 1.77/1.85 V_n != c_Suc(V_n) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_Suc__n__not__n_0,axiom,
% 1.77/1.85 c_Suc(V_n) != V_n ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_Suc__n__not__le__n_0,axiom,
% 1.77/1.85 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_le__SucI_0,axiom,
% 1.77/1.85 ( c_lessequals(V_m,c_Suc(V_n),tc_nat)
% 1.77/1.85 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_Suc__leD_0,axiom,
% 1.77/1.85 ( c_lessequals(V_m,V_n,tc_nat)
% 1.77/1.85 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_less__trans__Suc_0,axiom,
% 1.77/1.85 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_less__Suc__eq_2,axiom,
% 1.77/1.85 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_lessI_0,axiom,
% 1.77/1.85 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_Suc__neq__Zero_0,axiom,
% 1.77/1.85 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 1.77/1.85 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_evaln_OSkip_0,axiom,
% 1.77/1.85 c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_evaln__Suc_0,axiom,
% 1.77/1.85 ( c_Natural_Oevaln(V_c,V_s,c_Suc(V_n),V_s_H)
% 1.77/1.85 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_s_H) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 1.77/1.85 ( V_n = V_m
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 1.77/1.85 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_less__antisym_0,axiom,
% 1.77/1.85 ( V_m = V_n
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 1.77/1.85 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_less__SucE_0,axiom,
% 1.77/1.85 ( V_m = V_n
% 1.77/1.85 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_diff__Suc__Suc_0,axiom,
% 1.77/1.85 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) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_id__def_0,axiom,
% 1.77/1.85 c_Fun_Oid(v_x,t_a) = v_x ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_nat_Oinject_0,axiom,
% 1.77/1.85 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 1.77/1.85 | V_nat = V_nat_H ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_Suc__inject_0,axiom,
% 1.77/1.85 ( c_Suc(V_x) != c_Suc(V_y)
% 1.77/1.85 | V_x = V_y ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_evaln__max2_1,axiom,
% 1.77/1.85 ( c_Natural_Oevaln(V_c2,V_s2,c_Natural_Osko__Natural__Xevaln__max2__1__1(V_c1,V_c2,V_s1,V_s2,V_t1,V_t2),V_t2)
% 1.77/1.85 | ~ c_Natural_Oevaln(V_c2,V_s2,V_n2,V_t2)
% 1.77/1.85 | ~ c_Natural_Oevaln(V_c1,V_s1,V_n1,V_t1) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_evaln__max2_0,axiom,
% 1.77/1.85 ( c_Natural_Oevaln(V_c1,V_s1,c_Natural_Osko__Natural__Xevaln__max2__1__1(V_c1,V_c2,V_s1,V_s2,V_t1,V_t2),V_t1)
% 1.77/1.85 | ~ c_Natural_Oevaln(V_c2,V_s2,V_n2,V_t2)
% 1.77/1.85 | ~ c_Natural_Oevaln(V_c1,V_s1,V_n1,V_t1) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_Zero__neq__Suc_0,axiom,
% 1.77/1.85 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 1.77/1.85 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_add__Suc_0,axiom,
% 1.77/1.85 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)) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_add__Suc__right_0,axiom,
% 1.77/1.85 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)) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_max__Suc__Suc_0,axiom,
% 1.77/1.85 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)) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_mod__Suc_1,axiom,
% 1.77/1.85 ( c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))
% 1.77/1.85 | c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) = V_n ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_evaln_OSemi_0,axiom,
% 1.77/1.85 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2)
% 1.77/1.85 | ~ c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)
% 1.77/1.85 | ~ c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_add__Suc__shift_0,axiom,
% 1.77/1.85 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) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_Suc__lessI_0,axiom,
% 1.77/1.85 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 1.77/1.85 | c_Suc(V_m) = V_n
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_not__less__eq__eq_1,axiom,
% 1.77/1.85 ( ~ c_lessequals(V_m,V_n,tc_nat)
% 1.77/1.85 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_not__less__eq__eq_0,axiom,
% 1.77/1.85 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 1.77/1.85 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_Suc__diff__diff_0,axiom,
% 1.77/1.85 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) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_le__Suc__eq_2,axiom,
% 1.77/1.85 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_min__Suc__Suc_0,axiom,
% 1.77/1.85 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)) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_evaln__elim__cases_I6_J_0,axiom,
% 1.77/1.85 ( V_n = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1))
% 1.77/1.85 | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(V_P),V_s,V_n,V_s1) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_le__SucE_0,axiom,
% 1.77/1.85 ( V_m = c_Suc(V_n)
% 1.77/1.85 | c_lessequals(V_m,V_n,tc_nat)
% 1.77/1.85 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 1.77/1.85 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 1.77/1.85 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_not__less__eq_1,axiom,
% 1.77/1.85 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_not__less__eq_0,axiom,
% 1.77/1.85 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 1.77/1.85 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_evaln__elim__cases_I1_J_0,axiom,
% 1.77/1.85 ( V_t = V_s
% 1.77/1.85 | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 1.77/1.85 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_Suc__less__eq_0,axiom,
% 1.77/1.85 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_Suc__mono_0,axiom,
% 1.77/1.85 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 1.77/1.85 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_evaln__evalc_0,axiom,
% 1.77/1.85 ( c_Natural_Oevalc(V_c,V_s,V_t)
% 1.77/1.85 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_t) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_eval__eq_1,axiom,
% 1.77/1.85 ( c_Natural_Oevalc(V_c,V_s,V_t)
% 1.77/1.85 | ~ c_Natural_Oevaln(V_c,V_s,V_x,V_t) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_conjecture_0,negated_conjecture,
% 1.77/1.85 v_fun1(v_x,v_xa) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_conjecture_1,negated_conjecture,
% 1.77/1.85 c_Natural_Oevaln(v_com,v_xa,v_n,v_xb) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_conjecture_2,negated_conjecture,
% 1.77/1.85 ~ v_fun2(v_x,v_xb) ).
% 1.77/1.85
% 1.77/1.85 cnf(cls_conjecture_3,negated_conjecture,
% 1.77/1.85 ( v_fun2(V_Z,V_s_H)
% 1.77/1.85 | ~ c_Natural_Oevaln(v_com,V_s,c_Suc(v_n),V_s_H)
% 1.77/1.85 | ~ v_fun1(V_Z,V_s) ) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 1.77/1.85 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 1.77/1.85 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 1.77/1.85 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 1.77/1.85 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 1.77/1.85 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 1.77/1.85 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 1.77/1.85 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 1.77/1.85 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 1.77/1.85 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 1.77/1.85 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 1.77/1.85 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 1.77/1.85 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 1.77/1.85 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 1.77/1.85 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 1.77/1.85 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 1.77/1.85 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 1.77/1.85 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 1.77/1.85 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 1.77/1.85 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 1.77/1.85 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 1.77/1.85 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 1.77/1.85 class_Ring__and__Field_Osemiring(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 1.77/1.85 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 1.77/1.85 class_Divides_Osemiring__div(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 1.77/1.85 class_Orderings_Opreorder(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 1.77/1.85 class_Orderings_Olinorder(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 1.77/1.85 class_Orderings_Oorder(tc_nat) ).
% 1.77/1.85
% 1.77/1.85 %------------------------------------------------------------------------------
% 1.77/1.85 %-------------------------------------------
% 1.77/1.85 % Proof found
% 1.77/1.85 % SZS status Theorem for theBenchmark
% 1.77/1.85 % SZS output start Proof
% 1.77/1.85 %ClaNum:792(EqnAxiom:93)
% 1.77/1.85 %VarNum:4662(SingletonVarNum:1681)
% 1.77/1.85 %MaxLitNum:6
% 1.77/1.85 %MaxfuncDepth:4
% 1.77/1.85 %SharedTerms:51
% 1.77/1.85 %goalClause: 121 176 211 621
% 1.77/1.85 %singleGoalClaCount:3
% 1.77/1.85 [94]P1(a1)
% 1.77/1.85 [95]P7(a1)
% 1.77/1.85 [96]P8(a1)
% 1.77/1.85 [97]P28(a1)
% 1.77/1.85 [98]P16(a1)
% 1.77/1.85 [99]P22(a1)
% 1.77/1.85 [100]P17(a1)
% 1.77/1.85 [101]P23(a1)
% 1.77/1.85 [102]P25(a1)
% 1.77/1.85 [103]P26(a1)
% 1.77/1.85 [104]P9(a1)
% 1.77/1.85 [105]P29(a1)
% 1.77/1.85 [106]P30(a1)
% 1.77/1.85 [107]P31(a1)
% 1.77/1.85 [108]P39(a1)
% 1.77/1.85 [109]P40(a1)
% 1.77/1.85 [110]P24(a1)
% 1.77/1.85 [111]P35(a1)
% 1.77/1.85 [112]P32(a1)
% 1.77/1.85 [113]P34(a1)
% 1.77/1.85 [114]P12(a1)
% 1.77/1.85 [115]P15(a1)
% 1.77/1.85 [116]P36(a1)
% 1.77/1.85 [117]P41(a1)
% 1.77/1.85 [118]P18(a1)
% 1.77/1.85 [119]P13(a1)
% 1.77/1.85 [120]P27(a1)
% 1.77/1.85 [121]P45(a15,a18)
% 1.77/1.85 [176]P5(a16,a18,a17,a19)
% 1.77/1.85 [211]~P46(a15,a19)
% 1.77/1.85 [151]E(f9(f14(f7(a1)),f14(f7(a1)),a1),f14(f7(a1)))
% 1.77/1.85 [123]P2(x1231,x1231,a1)
% 1.77/1.85 [124]P3(a2,x1241,x1241)
% 1.77/1.85 [217]~P4(x2171,x2171,a1)
% 1.77/1.85 [125]E(f4(x1251,x1251,a1),f7(a1))
% 1.77/1.85 [126]P2(f7(a1),x1261,a1)
% 1.77/1.85 [139]P4(x1391,f14(x1391),a1)
% 1.77/1.85 [143]P4(f7(a1),f14(x1431),a1)
% 1.77/1.85 [158]P2(x1581,f9(x1581,x1581,a1),a1)
% 1.77/1.85 [204]~E(f3(x2041),a2)
% 1.77/1.85 [206]~E(f14(x2061),x2061)
% 1.77/1.85 [210]~E(f14(x2101),f7(a1))
% 1.77/1.85 [219]~P4(x2191,f7(a1),a1)
% 1.77/1.85 [220]~P2(f14(x2201),x2201,a1)
% 1.77/1.85 [128]E(f4(x1281,f7(a1),a1),x1281)
% 1.77/1.85 [129]E(f8(x1291,f7(a1),a1),x1291)
% 1.77/1.85 [130]E(f10(x1301,f7(a1),a1),x1301)
% 1.77/1.85 [131]E(f8(f7(a1),x1311,a1),x1311)
% 1.77/1.85 [132]E(f10(f7(a1),x1321,a1),x1321)
% 1.77/1.85 [133]E(f9(x1331,f7(a1),a1),f7(a1))
% 1.77/1.85 [134]E(f13(x1341,f7(a1),a1),f7(a1))
% 1.77/1.85 [135]E(f4(f7(a1),x1351,a1),f7(a1))
% 1.77/1.85 [136]E(f9(f7(a1),x1361,a1),f7(a1))
% 1.77/1.85 [137]E(f13(f7(a1),x1371,a1),f7(a1))
% 1.77/1.85 [190]P2(x1901,f9(x1901,f9(x1901,x1901,a1),a1),a1)
% 1.77/1.85 [145]E(f5(x1451,f14(f7(a1)),a1),f7(a1))
% 1.77/1.85 [177]P5(a2,x1771,x1772,x1771)
% 1.77/1.85 [152]E(f9(x1521,x1522,a1),f9(x1522,x1521,a1))
% 1.77/1.85 [153]E(f8(x1531,x1532,a1),f8(x1532,x1531,a1))
% 1.77/1.85 [159]P2(x1591,f8(x1592,x1591,a1),a1)
% 1.77/1.85 [161]P2(x1611,f8(x1611,x1612,a1),a1)
% 1.77/1.85 [162]P2(f4(x1621,x1622,a1),x1621,a1)
% 1.77/1.85 [163]P2(f5(x1631,x1632,a1),x1631,a1)
% 1.77/1.85 [168]P4(f4(x1681,x1682,a1),f14(x1681),a1)
% 1.77/1.85 [213]~E(f6(x2131,x2132),a2)
% 1.77/1.85 [222]~P4(f8(x2221,x2222,a1),x2222,a1)
% 1.77/1.85 [223]~P4(f8(x2231,x2232,a1),x2231,a1)
% 1.77/1.85 [154]E(f9(x1541,f7(a1),a1),f9(x1542,f7(a1),a1))
% 1.77/1.85 [155]E(f9(f7(a1),x1551,a1),f9(f7(a1),x1552,a1))
% 1.77/1.85 [156]E(f8(f14(x1561),x1562,a1),f8(x1561,f14(x1562),a1))
% 1.77/1.85 [157]E(f4(f14(x1571),f14(x1572),a1),f4(x1571,x1572,a1))
% 1.77/1.85 [164]E(f4(f8(x1641,x1642,a1),x1642,a1),x1641)
% 1.77/1.85 [165]E(f4(f8(x1651,x1652,a1),x1651,a1),x1652)
% 1.77/1.85 [166]E(f4(x1661,f8(x1661,x1662,a1),a1),f7(a1))
% 1.77/1.85 [167]E(f5(f9(x1671,x1672,a1),x1671,a1),f7(a1))
% 1.77/1.85 [169]E(f14(f8(x1691,x1692,a1)),f8(x1691,f14(x1692),a1))
% 1.77/1.85 [170]E(f14(f8(x1701,x1702,a1)),f8(f14(x1701),x1702,a1))
% 1.77/1.85 [171]E(f10(f14(x1711),f14(x1712),a1),f14(f10(x1711,x1712,a1)))
% 1.77/1.85 [172]E(f13(f14(x1721),f14(x1722),a1),f14(f13(x1721,x1722,a1)))
% 1.77/1.85 [173]E(f8(f4(x1731,x1732,a1),x1732,a1),f10(x1731,x1732,a1))
% 1.77/1.85 [174]E(f8(x1741,f9(x1741,x1742,a1),a1),f9(x1741,f14(x1742),a1))
% 1.77/1.85 [175]E(f8(x1751,f9(x1752,x1751,a1),a1),f9(f14(x1752),x1751,a1))
% 1.77/1.85 [178]P4(x1781,f14(f8(x1782,x1781,a1)),a1)
% 1.77/1.85 [180]P4(x1801,f14(f8(x1801,x1802,a1)),a1)
% 1.77/1.85 [188]E(f5(f14(f5(x1881,x1882,a1)),x1882,a1),f5(f14(x1881),x1882,a1))
% 1.77/1.85 [214]~E(f3(x2141),f6(x2142,x2143))
% 1.77/1.85 [215]~E(f6(x2151,x2152),f3(x2153))
% 1.77/1.85 [181]E(f8(x1811,f8(x1812,x1813,a1),a1),f8(x1812,f8(x1811,x1813,a1),a1))
% 1.77/1.85 [182]E(f4(f4(x1821,x1822,a1),x1823,a1),f4(x1821,f8(x1822,x1823,a1),a1))
% 1.77/1.85 [183]E(f9(f9(x1831,x1832,a1),x1833,a1),f9(x1831,f9(x1832,x1833,a1),a1))
% 1.77/1.85 [184]E(f8(f8(x1841,x1842,a1),x1843,a1),f8(x1841,f8(x1842,x1843,a1),a1))
% 1.77/1.85 [185]E(f4(f4(x1851,x1852,a1),x1853,a1),f4(f4(x1851,x1853,a1),x1852,a1))
% 1.77/1.85 [186]E(f4(f8(x1861,x1862,a1),f8(x1863,x1862,a1),a1),f4(x1861,x1863,a1))
% 1.77/1.85 [187]E(f4(f8(x1871,x1872,a1),f8(x1871,x1873,a1),a1),f4(x1872,x1873,a1))
% 1.77/1.85 [189]E(f4(f4(f14(x1891),x1892,a1),f14(x1893),a1),f4(f4(x1891,x1892,a1),x1893,a1))
% 1.77/1.85 [192]E(f4(f9(x1921,x1922,a1),f9(x1921,x1923,a1),a1),f9(x1921,f4(x1922,x1923,a1),a1))
% 1.77/1.85 [193]E(f8(f9(x1931,x1932,a1),f9(x1931,x1933,a1),a1),f9(x1931,f8(x1932,x1933,a1),a1))
% 1.77/1.85 [194]E(f5(f9(x1941,x1942,a1),f9(x1941,x1943,a1),a1),f9(x1941,f5(x1942,x1943,a1),a1))
% 1.77/1.85 [195]E(f4(f9(x1951,x1952,a1),f9(x1953,x1952,a1),a1),f9(f4(x1951,x1953,a1),x1952,a1))
% 1.77/1.85 [196]E(f8(f9(x1961,x1962,a1),f9(x1963,x1962,a1),a1),f9(f8(x1961,x1963,a1),x1962,a1))
% 1.77/1.85 [197]E(f5(f9(x1971,x1972,a1),f9(x1973,x1972,a1),a1),f9(f5(x1971,x1973,a1),x1972,a1))
% 1.77/1.85 [198]E(f13(f4(x1981,x1982,a1),f4(x1983,x1982,a1),a1),f4(f13(x1981,x1983,a1),x1982,a1))
% 1.77/1.85 [191]E(f5(f8(f9(x1911,x1912,a1),x1913,a1),x1912,a1),f5(x1913,x1912,a1))
% 1.77/1.85 [201]E(f5(f14(f8(f9(x2011,x2012,a1),x2013,a1)),x2012,a1),f5(f14(x2013),x2012,a1))
% 1.77/1.85 [202]E(f8(f9(x2021,x2022,a1),f8(f9(x2023,x2022,a1),x2024,a1),a1),f8(f9(f8(x2021,x2023,a1),x2022,a1),x2024,a1))
% 1.77/1.85 [229]E(x2291,f7(a1))+P4(f7(a1),x2291,a1)
% 1.77/1.85 [264]E(x2641,f7(a1))+~P2(x2641,f7(a1),a1)
% 1.77/1.85 [258]~P20(x2581)+E(f8(f7(x2581),f7(x2581),x2581),f7(x2581))
% 1.77/1.85 [277]E(x2771,f7(a1))+~P4(x2771,f14(f7(a1)),a1)
% 1.77/1.85 [496]~P38(x4961)+E(f8(f9(f7(x4961),f7(x4961),x4961),f9(f7(x4961),f7(x4961),x4961),x4961),f7(x4961))
% 1.77/1.85 [746]~P38(x7461)+P2(f8(f9(f7(x7461),f7(x7461),x7461),f9(f7(x7461),f7(x7461),x7461),x7461),f7(x7461),x7461)
% 1.77/1.85 [770]~P38(x7701)+~P4(f7(x7701),f8(f9(f7(x7701),f7(x7701),x7701),f9(f7(x7701),f7(x7701),x7701),x7701),x7701)
% 1.77/1.85 [401]~P4(f7(a1),x4011,a1)+E(f14(f4(x4011,f14(f7(a1)),a1)),x4011)
% 1.77/1.85 [230]~P25(x2302)+P2(x2301,x2301,x2302)
% 1.77/1.85 [231]~P26(x2312)+P2(x2311,x2311,x2312)
% 1.77/1.85 [259]E(x2591,x2592)+~P3(a2,x2592,x2591)
% 1.77/1.85 [265]~P4(x2652,x2652,x2651)+~P22(x2651)
% 1.77/1.85 [266]~P4(x2662,x2662,x2661)+~P25(x2661)
% 1.77/1.85 [267]~P4(x2672,x2672,x2671)+~P26(x2671)
% 1.77/1.85 [276]P2(x2762,x2761,a1)+P2(x2761,x2762,a1)
% 1.77/1.85 [312]~P4(x3121,x3122,a1)+P2(x3121,x3122,a1)
% 1.77/1.85 [225]E(x2251,x2252)+~E(f14(x2251),f14(x2252))
% 1.77/1.85 [226]E(x2261,x2262)+~E(f3(x2261),f3(x2262))
% 1.77/1.85 [232]~P14(x2322)+E(f9(x2321,x2321,x2322),x2321)
% 1.77/1.85 [233]~P22(x2332)+E(f10(x2331,x2331,x2332),x2331)
% 1.77/1.85 [234]~P22(x2342)+E(f13(x2341,x2341,x2342),x2341)
% 1.77/1.85 [236]~P19(x2362)+E(f4(x2361,x2361,x2362),f7(x2362))
% 1.77/1.85 [237]~P10(x2372)+E(f4(x2371,x2371,x2372),f7(x2372))
% 1.77/1.85 [238]~P1(x2382)+E(f5(x2381,x2381,x2382),f7(x2382))
% 1.77/1.85 [261]~E(f8(x2612,x2611,a1),x2612)+E(x2611,f7(a1))
% 1.77/1.85 [262]E(x2621,f7(a1))+~E(f8(x2622,x2621,a1),f7(a1))
% 1.77/1.85 [263]E(x2631,f7(a1))+~E(f8(x2631,x2632,a1),f7(a1))
% 1.77/1.85 [291]P4(x2911,x2912,a1)+P4(x2912,f14(x2911),a1)
% 1.77/1.85 [293]P2(x2931,x2932,a1)+P2(f14(x2932),x2931,a1)
% 1.77/1.85 [313]~P4(x3131,x3132,a1)+E(f5(x3131,x3132,a1),x3131)
% 1.77/1.85 [314]~P2(x3141,x3142,a1)+E(f4(x3141,x3142,a1),f7(a1))
% 1.77/1.85 [318]P2(x3181,x3182,a1)+~E(f4(x3181,x3182,a1),f7(a1))
% 1.77/1.85 [319]~P2(x3191,x3192,a1)+P2(x3191,f14(x3192),a1)
% 1.77/1.85 [320]~P2(x3201,x3202,a1)+P4(x3201,f14(x3202),a1)
% 1.77/1.85 [321]~P4(x3211,x3212,a1)+P4(x3211,f14(x3212),a1)
% 1.77/1.85 [324]~P4(x3241,x3242,a1)+P2(f14(x3241),x3242,a1)
% 1.77/1.85 [325]P2(x3251,x3252,a1)+~P4(x3251,f14(x3252),a1)
% 1.77/1.85 [326]P2(x3261,x3262,a1)+~P2(f14(x3261),x3262,a1)
% 1.77/1.85 [328]P4(x3281,x3282,a1)+~P2(f14(x3281),x3282,a1)
% 1.77/1.85 [329]P4(x3291,x3292,a1)+~P4(f14(x3291),x3292,a1)
% 1.77/1.85 [340]~P2(x3401,x3402,a1)+P2(f14(x3401),f14(x3402),a1)
% 1.77/1.85 [342]~P4(x3421,x3422,a1)+P4(f14(x3421),f14(x3422),a1)
% 1.77/1.85 [354]P2(x3541,x3542,a1)+~P2(f14(x3541),f14(x3542),a1)
% 1.77/1.85 [355]P4(x3551,x3552,a1)+~P4(f14(x3551),f14(x3552),a1)
% 1.77/1.85 [374]~P38(x3741)+P2(f7(x3741),f9(x3742,x3742,x3741),x3741)
% 1.77/1.85 [376]~P4(x3761,x3762,a1)+~P4(x3762,f14(x3761),a1)
% 1.77/1.85 [377]~P2(x3771,x3772,a1)+~P2(f14(x3772),x3771,a1)
% 1.77/1.85 [431]~P4(x4312,x4311,a1)+P4(f7(a1),f4(x4311,x4312,a1),a1)
% 1.77/1.85 [432]P2(f5(x4321,x4322,a1),x4322,a1)+~P4(f7(a1),x4322,a1)
% 1.77/1.85 [433]P4(f5(x4331,x4332,a1),x4332,a1)+~P4(f7(a1),x4332,a1)
% 1.77/1.85 [464]~P38(x4641)+~P4(f9(x4642,x4642,x4641),f7(x4641),x4641)
% 1.77/1.85 [473]P4(x4731,x4732,a1)+~P4(f7(a1),f4(x4732,x4731,a1),a1)
% 1.77/1.85 [474]P4(f7(a1),x4741,a1)+~P4(f7(a1),f9(x4742,x4741,a1),a1)
% 1.77/1.85 [475]P4(f7(a1),x4751,a1)+~P4(f7(a1),f9(x4751,x4752,a1),a1)
% 1.77/1.85 [239]~P19(x2392)+E(f4(x2391,f7(x2392),x2392),x2391)
% 1.77/1.85 [240]~P7(x2402)+E(f8(x2401,f7(x2402),x2402),x2401)
% 1.77/1.85 [241]~P8(x2412)+E(f8(x2411,f7(x2412),x2412),x2411)
% 1.77/1.85 [242]~P18(x2422)+E(f8(x2421,f7(x2422),x2422),x2421)
% 1.77/1.85 [243]~P1(x2432)+E(f5(x2431,f7(x2432),x2432),x2431)
% 1.77/1.85 [245]~P7(x2451)+E(f8(f7(x2451),x2452,x2451),x2452)
% 1.77/1.85 [246]~P8(x2461)+E(f8(f7(x2461),x2462,x2461),x2462)
% 1.77/1.85 [247]~P18(x2471)+E(f8(f7(x2471),x2472,x2471),x2472)
% 1.77/1.85 [248]~P7(x2482)+E(f9(x2481,f7(x2482),x2482),f7(x2482))
% 1.77/1.85 [249]~P43(x2492)+E(f9(x2491,f7(x2492),x2492),f7(x2492))
% 1.77/1.85 [250]~P31(x2502)+E(f9(x2501,f7(x2502),x2502),f7(x2502))
% 1.77/1.85 [252]~P7(x2521)+E(f9(f7(x2521),x2522,x2521),f7(x2521))
% 1.77/1.85 [253]~P43(x2531)+E(f9(f7(x2531),x2532,x2531),f7(x2531))
% 1.77/1.85 [254]~P31(x2541)+E(f9(f7(x2541),x2542,x2541),f7(x2541))
% 1.77/1.85 [255]~P1(x2551)+E(f5(f7(x2551),x2552,x2551),f7(x2551))
% 1.77/1.85 [273]E(x2731,f14(f7(a1)))+~E(f9(x2732,x2731,a1),f14(f7(a1)))
% 1.77/1.85 [274]E(x2741,f14(f7(a1)))+~E(f9(x2741,x2742,a1),f14(f7(a1)))
% 1.77/1.85 [399]P4(x3992,x3991,a1)+E(f8(x3991,f4(x3992,x3991,a1),a1),x3992)
% 1.77/1.85 [409]~E(f14(f5(x4091,x4092,a1)),x4092)+E(f5(f14(x4091),x4092,a1),f7(a1))
% 1.77/1.85 [428]~P2(x4282,x4281,a1)+E(f4(x4281,f4(x4281,x4282,a1),a1),x4282)
% 1.77/1.85 [429]~P2(x4291,x4292,a1)+E(f8(x4291,f4(x4292,x4291,a1),a1),x4292)
% 1.77/1.85 [430]~P2(x4302,x4301,a1)+E(f8(f4(x4301,x4302,a1),x4302,a1),x4301)
% 1.77/1.85 [436]~P2(x4362,x4361,a1)+E(f14(f4(x4361,x4362,a1)),f4(f14(x4361),x4362,a1))
% 1.77/1.85 [455]~P4(f7(a1),x4551,a1)+P4(f4(x4551,f14(x4552),a1),x4551,a1)
% 1.77/1.85 [458]P4(x4581,x4582,a1)+E(f5(f4(x4581,x4582,a1),x4582,a1),f5(x4581,x4582,a1))
% 1.77/1.85 [465]E(f14(f5(x4651,x4652,a1)),x4652)+E(f14(f5(x4651,x4652,a1)),f5(f14(x4651),x4652,a1))
% 1.77/1.85 [466]~P2(x4662,x4661,a1)+E(f5(f4(x4661,x4662,a1),x4662,a1),f5(x4661,x4662,a1))
% 1.77/1.85 [516]P2(f14(f7(a1)),x5161,a1)+~P2(f14(f7(a1)),f9(x5162,x5161,a1),a1)
% 1.77/1.85 [517]P2(f14(f7(a1)),x5171,a1)+~P2(f14(f7(a1)),f9(x5171,x5172,a1),a1)
% 1.77/1.85 [594]E(x5941,x5942)+~P5(a2,x5942,x5943,x5941)
% 1.77/1.85 [295]~P7(x2953)+E(f9(x2951,x2952,x2953),f9(x2952,x2951,x2953))
% 1.77/1.85 [297]~P7(x2973)+E(f8(x2971,x2972,x2973),f8(x2972,x2971,x2973))
% 1.77/1.85 [298]~P8(x2983)+E(f8(x2981,x2982,x2983),f8(x2982,x2981,x2983))
% 1.77/1.85 [299]~P22(x2993)+E(f10(x2991,x2992,x2993),f10(x2992,x2991,x2993))
% 1.77/1.85 [300]~P22(x3003)+E(f13(x3001,x3002,x3003),f13(x3002,x3001,x3003))
% 1.77/1.85 [357]E(x3571,x3572)+~E(f8(x3573,x3571,a1),f8(x3573,x3572,a1))
% 1.77/1.85 [358]E(x3581,x3582)+~E(f8(x3581,x3583,a1),f8(x3582,x3583,a1))
% 1.77/1.85 [359]~P22(x3593)+P2(x3591,f10(x3592,x3591,x3593),x3593)
% 1.77/1.85 [360]~P22(x3603)+P2(x3601,f10(x3601,x3602,x3603),x3603)
% 1.77/1.85 [361]~P22(x3613)+P2(f13(x3611,x3612,x3613),x3612,x3613)
% 1.77/1.85 [362]~P22(x3623)+P2(f13(x3621,x3622,x3623),x3621,x3623)
% 1.77/1.85 [419]~P2(x4191,x4193,a1)+P2(x4191,f8(x4192,x4193,a1),a1)
% 1.77/1.85 [421]~P2(x4211,x4212,a1)+P2(x4211,f8(x4212,x4213,a1),a1)
% 1.77/1.85 [423]~P4(x4231,x4233,a1)+P4(x4231,f8(x4232,x4233,a1),a1)
% 1.77/1.85 [425]~P4(x4251,x4252,a1)+P4(x4251,f8(x4252,x4253,a1),a1)
% 1.77/1.85 [426]~P4(x4261,x4263,a1)+P4(f4(x4261,x4262,a1),x4263,a1)
% 1.77/1.85 [469]P2(x4691,x4692,a1)+~P2(f8(x4693,x4691,a1),x4692,a1)
% 1.77/1.85 [470]P2(x4701,x4702,a1)+~P2(f8(x4701,x4703,a1),x4702,a1)
% 1.77/1.85 [471]P4(x4711,x4712,a1)+~P4(f8(x4711,x4713,a1),x4712,a1)
% 1.77/1.85 [488]P2(f9(x4882,x4881,a1),f9(x4883,x4881,a1),a1)+P4(f7(a1),x4881,a1)
% 1.77/1.85 [489]P2(f9(x4891,x4892,a1),f9(x4891,x4893,a1),a1)+P4(f7(a1),x4891,a1)
% 1.77/1.85 [534]~P2(x5341,x5343,a1)+P2(f4(x5341,x5342,a1),f4(x5343,x5342,a1),a1)
% 1.77/1.85 [535]~P2(x5353,x5352,a1)+P2(f4(x5351,x5352,a1),f4(x5351,x5353,a1),a1)
% 1.77/1.85 [537]~P2(x5371,x5373,a1)+P2(f9(x5371,x5372,a1),f9(x5373,x5372,a1),a1)
% 1.77/1.85 [539]~P2(x5392,x5393,a1)+P2(f9(x5391,x5392,a1),f9(x5391,x5393,a1),a1)
% 1.77/1.85 [540]~P2(x5401,x5403,a1)+P2(f8(x5401,x5402,a1),f8(x5403,x5402,a1),a1)
% 1.77/1.85 [541]~P2(x5412,x5413,a1)+P2(f8(x5411,x5412,a1),f8(x5411,x5413,a1),a1)
% 1.77/1.85 [542]~P4(x5421,x5423,a1)+P4(f8(x5421,x5422,a1),f8(x5423,x5422,a1),a1)
% 1.77/1.85 [543]~P4(x5432,x5433,a1)+P4(f8(x5431,x5432,a1),f8(x5431,x5433,a1),a1)
% 1.77/1.85 [609]~P2(f4(x6091,x6093,a1),x6092,a1)+P2(x6091,f8(x6092,x6093,a1),a1)
% 1.77/1.85 [610]~P4(f8(x6101,x6103,a1),x6102,a1)+P4(x6101,f4(x6102,x6103,a1),a1)
% 1.77/1.85 [611]~P2(x6111,f8(x6113,x6112,a1),a1)+P2(f4(x6111,x6112,a1),x6113,a1)
% 1.77/1.85 [612]~P4(x6121,f4(x6123,x6122,a1),a1)+P4(f8(x6121,x6122,a1),x6123,a1)
% 1.77/1.85 [671]P2(x6711,x6712,a1)+~P2(f8(x6713,x6711,a1),f8(x6713,x6712,a1),a1)
% 1.77/1.85 [672]P4(x6721,x6722,a1)+~P4(f9(x6723,x6721,a1),f9(x6723,x6722,a1),a1)
% 1.77/1.85 [673]P4(x6731,x6732,a1)+~P4(f9(x6731,x6733,a1),f9(x6732,x6733,a1),a1)
% 1.77/1.85 [674]P4(x6741,x6742,a1)+~P4(f8(x6743,x6741,a1),f8(x6743,x6742,a1),a1)
% 1.77/1.85 [675]~P4(f9(x6752,x6751,a1),f9(x6753,x6751,a1),a1)+P4(f7(a1),x6751,a1)
% 1.77/1.85 [676]~P4(f9(x6761,x6762,a1),f9(x6761,x6763,a1),a1)+P4(f7(a1),x6761,a1)
% 1.77/1.85 [363]~P22(x3633)+E(f10(x3631,f13(x3631,x3632,x3633),x3633),x3631)
% 1.77/1.85 [364]~P22(x3643)+E(f13(x3641,f10(x3641,x3642,x3643),x3643),x3641)
% 1.77/1.85 [365]~P19(x3653)+E(f4(f8(x3651,x3652,x3653),x3652,x3653),x3651)
% 1.77/1.85 [366]~P19(x3663)+E(f8(f4(x3661,x3662,x3663),x3662,x3663),x3661)
% 1.77/1.85 [368]~P1(x3683)+E(f5(f9(x3681,x3682,x3683),x3682,x3683),f7(x3683))
% 1.77/1.85 [369]~P1(x3693)+E(f5(f9(x3691,x3692,x3693),x3691,x3693),f7(x3693))
% 1.77/1.85 [396]E(x3961,x3962)+~E(f9(f14(x3963),x3961,a1),f9(f14(x3963),x3962,a1))
% 1.77/1.85 [402]~P14(x4023)+E(f9(x4021,f9(x4021,x4022,x4023),x4023),f9(x4021,x4022,x4023))
% 1.77/1.85 [403]~P22(x4033)+E(f10(x4031,f10(x4031,x4032,x4033),x4033),f10(x4031,x4032,x4033))
% 1.77/1.85 [404]~P22(x4043)+E(f13(x4041,f13(x4041,x4042,x4043),x4043),f13(x4041,x4042,x4043))
% 1.77/1.85 [405]~P1(x4053)+E(f5(f8(x4051,x4052,x4053),x4052,x4053),f5(x4051,x4052,x4053))
% 1.77/1.85 [406]~P1(x4063)+E(f5(f8(x4061,x4062,x4063),x4061,x4063),f5(x4062,x4061,x4063))
% 1.77/1.85 [407]~P1(x4073)+E(f5(f5(x4071,x4072,x4073),x4072,x4073),f5(x4071,x4072,x4073))
% 1.77/1.85 [587]~P4(x5872,x5873,a1)+P4(f9(f14(x5871),x5872,a1),f9(f14(x5871),x5873,a1),a1)
% 1.77/1.85 [603]~P2(x6032,x6033,a1)+E(f4(f8(x6031,x6032,a1),x6033,a1),f4(x6031,f4(x6033,x6032,a1),a1))
% 1.77/1.85 [605]~P2(x6053,x6052,a1)+E(f4(f8(x6051,x6052,a1),x6053,a1),f8(x6051,f4(x6052,x6053,a1),a1))
% 1.77/1.85 [607]~P2(x6073,x6071,a1)+E(f4(f8(x6071,x6072,a1),x6073,a1),f8(f4(x6071,x6073,a1),x6072,a1))
% 1.77/1.85 [652]~P2(x6523,x6522,a1)+P2(x6521,f4(f8(x6522,x6521,a1),x6523,a1),a1)
% 1.77/1.85 [685]P2(x6851,x6852,a1)+~P2(f9(f14(x6853),x6851,a1),f9(f14(x6853),x6852,a1),a1)
% 1.77/1.85 [729]~P38(x7291)+P2(f7(x7291),f8(f9(x7292,x7292,x7291),f9(x7293,x7293,x7291),x7291),x7291)
% 1.77/1.85 [763]~P38(x7631)+~P4(f8(f9(x7632,x7632,x7631),f9(x7633,x7633,x7631),x7631),f7(x7631),x7631)
% 1.77/1.85 [690]~P2(x6902,x6903,a1)+E(f4(f8(x6901,x6902,a1),f14(x6903),a1),f4(x6901,f14(f4(x6903,x6902,a1)),a1))
% 1.77/1.85 [691]~P2(x6912,x6911,a1)+E(f4(f14(f4(x6911,x6912,a1)),x6913,a1),f4(f14(x6911),f8(x6912,x6913,a1),a1))
% 1.77/1.85 [647]P3(x6471,x6472,x6473)+~P5(x6471,x6472,x6474,x6473)
% 1.77/1.85 [227]E(x2271,x2272)+~E(f6(x2273,x2271),f6(x2274,x2272))
% 1.77/1.85 [228]E(x2281,x2282)+~E(f6(x2281,x2283),f6(x2282,x2284))
% 1.77/1.85 [740]~P5(x7401,x7402,x7403,x7404)+P5(x7401,x7402,f14(x7403),x7404)
% 1.77/1.85 [497]~P7(x4974)+E(f9(x4971,f9(x4972,x4973,x4974),x4974),f9(x4972,f9(x4971,x4973,x4974),x4974))
% 1.77/1.85 [498]~P7(x4984)+E(f8(x4981,f8(x4982,x4983,x4984),x4984),f8(x4982,f8(x4981,x4983,x4984),x4984))
% 1.77/1.85 [499]~P8(x4994)+E(f8(x4991,f8(x4992,x4993,x4994),x4994),f8(x4992,f8(x4991,x4993,x4994),x4994))
% 1.77/1.85 [500]~P10(x5004)+E(f8(x5001,f8(x5002,x5003,x5004),x5004),f8(x5002,f8(x5001,x5003,x5004),x5004))
% 1.77/1.85 [501]~P22(x5014)+E(f10(x5011,f10(x5012,x5013,x5014),x5014),f10(x5012,f10(x5011,x5013,x5014),x5014))
% 1.77/1.85 [502]~P22(x5024)+E(f13(x5021,f13(x5022,x5023,x5024),x5024),f13(x5022,f13(x5021,x5023,x5024),x5024))
% 1.77/1.85 [507]~P7(x5073)+E(f9(f9(x5071,x5072,x5073),x5074,x5073),f9(x5071,f9(x5072,x5074,x5073),x5073))
% 1.77/1.85 [508]~P13(x5083)+E(f9(f9(x5081,x5082,x5083),x5084,x5083),f9(x5081,f9(x5082,x5084,x5083),x5083))
% 1.77/1.85 [509]~P7(x5093)+E(f8(f8(x5091,x5092,x5093),x5094,x5093),f8(x5091,f8(x5092,x5094,x5093),x5093))
% 1.77/1.85 [510]~P8(x5103)+E(f8(f8(x5101,x5102,x5103),x5104,x5103),f8(x5101,f8(x5102,x5104,x5103),x5103))
% 1.77/1.85 [511]~P9(x5113)+E(f8(f8(x5111,x5112,x5113),x5114,x5113),f8(x5111,f8(x5112,x5114,x5113),x5113))
% 1.77/1.85 [512]~P22(x5123)+E(f10(f10(x5121,x5122,x5123),x5124,x5123),f10(x5121,f10(x5122,x5124,x5123),x5123))
% 1.77/1.85 [513]~P22(x5133)+E(f13(f13(x5131,x5132,x5133),x5134,x5133),f13(x5131,f13(x5132,x5134,x5133),x5133))
% 1.77/1.85 [514]~P7(x5143)+E(f9(f9(x5141,x5142,x5143),x5144,x5143),f9(f9(x5141,x5144,x5143),x5142,x5143))
% 1.77/1.85 [515]~P7(x5153)+E(f8(f8(x5151,x5152,x5153),x5154,x5153),f8(f8(x5151,x5154,x5153),x5152,x5153))
% 1.77/1.85 [630]~P7(x6303)+E(f8(f9(x6301,x6302,x6303),f9(x6301,x6304,x6303),x6303),f9(x6301,f8(x6302,x6304,x6303),x6303))
% 1.77/1.85 [631]~P22(x6313)+E(f13(f10(x6311,x6312,x6313),f10(x6311,x6314,x6313),x6313),f10(x6311,f13(x6312,x6314,x6313),x6313))
% 1.77/1.85 [632]~P22(x6323)+E(f10(f13(x6321,x6322,x6323),f13(x6321,x6324,x6323),x6323),f13(x6321,f10(x6322,x6324,x6323),x6323))
% 1.77/1.85 [633]~P21(x6333)+E(f10(f4(x6331,x6332,x6333),f4(x6334,x6332,x6333),x6333),f4(f10(x6331,x6334,x6333),x6332,x6333))
% 1.77/1.85 [634]~P21(x6343)+E(f13(f4(x6341,x6342,x6343),f4(x6344,x6342,x6343),x6343),f4(f13(x6341,x6344,x6343),x6342,x6343))
% 1.77/1.85 [636]~P27(x6363)+E(f8(f9(x6361,x6362,x6363),f9(x6364,x6362,x6363),x6363),f9(f8(x6361,x6364,x6363),x6362,x6363))
% 1.77/1.85 [637]~P16(x6373)+E(f10(f8(x6371,x6372,x6373),f8(x6374,x6372,x6373),x6373),f8(f10(x6371,x6374,x6373),x6372,x6373))
% 1.77/1.85 [638]~P16(x6383)+E(f13(f8(x6381,x6382,x6383),f8(x6384,x6382,x6383),x6383),f8(f13(x6381,x6384,x6383),x6382,x6383))
% 1.77/1.85 [639]~P22(x6393)+E(f13(f10(x6391,x6392,x6393),f10(x6394,x6392,x6393),x6393),f10(f13(x6391,x6394,x6393),x6392,x6393))
% 1.77/1.85 [640]~P22(x6403)+E(f10(f13(x6401,x6402,x6403),f13(x6404,x6402,x6403),x6403),f13(f10(x6401,x6404,x6403),x6402,x6403))
% 1.77/1.85 [641]~P1(x6413)+E(f5(f9(x6411,x6412,x6413),f9(x6411,x6414,x6413),x6413),f9(x6411,f5(x6412,x6414,x6413),x6413))
% 1.77/1.85 [642]~P7(x6423)+E(f8(f9(x6421,x6422,x6423),f9(x6424,x6422,x6423),x6423),f9(f8(x6421,x6424,x6423),x6422,x6423))
% 1.77/1.85 [643]~P1(x6433)+E(f5(f9(x6431,x6432,x6433),f9(x6434,x6432,x6433),x6433),f9(f5(x6431,x6434,x6433),x6432,x6433))
% 1.77/1.85 [758]~P5(f3(x7581),x7583,x7582,x7584)+E(f14(f11(x7581,x7582,x7583,x7584)),x7582)
% 1.77/1.85 [759]~P22(x7594)+P2(f10(x7591,f13(x7592,x7593,x7594),x7594),f13(f10(x7591,x7592,x7594),f10(x7591,x7593,x7594),x7594),x7594)
% 1.77/1.85 [760]~P22(x7603)+P2(f10(f13(x7601,x7602,x7603),f13(x7601,x7604,x7603),x7603),f13(x7601,f10(x7602,x7604,x7603),x7603),x7603)
% 1.77/1.85 [628]~P1(x6284)+E(f5(f8(x6281,f9(x6282,x6283,x6284),x6284),x6283,x6284),f5(x6281,x6283,x6284))
% 1.77/1.85 [629]~P1(x6294)+E(f5(f8(x6291,f9(x6292,x6293,x6294),x6294),x6292,x6294),f5(x6291,x6292,x6294))
% 1.77/1.85 [695]~P6(x6954)+E(f5(f4(x6951,f5(x6952,x6953,x6954),x6954),x6953,x6954),f5(f4(x6951,x6952,x6954),x6953,x6954))
% 1.77/1.85 [696]~P1(x6964)+E(f5(f9(x6961,f5(x6962,x6963,x6964),x6964),x6963,x6964),f5(f9(x6961,x6962,x6964),x6963,x6964))
% 1.77/1.85 [698]~P6(x6983)+E(f5(f4(f5(x6981,x6982,x6983),x6984,x6983),x6982,x6983),f5(f4(x6981,x6984,x6983),x6982,x6983))
% 1.77/1.85 [701]~P1(x7014)+E(f5(f8(x7011,f5(x7012,x7013,x7014),x7014),x7013,x7014),f5(f8(x7011,x7012,x7014),x7013,x7014))
% 1.77/1.85 [702]~P1(x7023)+E(f5(f9(f5(x7021,x7022,x7023),x7024,x7023),x7022,x7023),f5(f9(x7021,x7024,x7023),x7022,x7023))
% 1.77/1.85 [703]~P1(x7033)+E(f5(f8(f5(x7031,x7032,x7033),x7034,x7033),x7032,x7033),f5(f8(x7031,x7034,x7033),x7032,x7033))
% 1.77/1.85 [748]~P6(x7483)+E(f5(f4(f5(x7481,x7482,x7483),f5(x7484,x7482,x7483),x7483),x7482,x7483),f5(f4(x7481,x7484,x7483),x7482,x7483))
% 1.77/1.85 [749]~P1(x7493)+E(f5(f9(f5(x7491,x7492,x7493),f5(x7494,x7492,x7493),x7493),x7492,x7493),f5(f9(x7491,x7494,x7493),x7492,x7493))
% 1.77/1.85 [750]~P1(x7503)+E(f5(f8(f5(x7501,x7502,x7503),f5(x7504,x7502,x7503),x7503),x7502,x7503),f5(f8(x7501,x7504,x7503),x7502,x7503))
% 1.77/1.85 [772]~P2(x7721,x7723,a1)+E(f8(f9(x7721,x7722,a1),f8(f9(f4(x7723,x7721,a1),x7722,a1),x7724,a1),a1),f8(f9(x7723,x7722,a1),x7724,a1))
% 1.77/1.85 [704]~P7(x7043)+E(f9(f9(x7041,x7042,x7043),f9(x7044,x7045,x7043),x7043),f9(f9(x7041,x7044,x7043),f9(x7042,x7045,x7043),x7043))
% 1.77/1.85 [705]~P7(x7053)+E(f8(f8(x7051,x7052,x7053),f8(x7054,x7055,x7053),x7053),f8(f8(x7051,x7054,x7053),f8(x7052,x7055,x7053),x7053))
% 1.77/1.85 [728]E(f5(x7281,x7282,a1),f5(x7283,x7282,a1))+~E(f8(x7281,f9(x7282,x7284,a1),a1),f8(x7283,f9(x7282,x7285,a1),a1))
% 1.77/1.85 [755]~P39(x7553)+E(f8(f9(x7551,x7552,x7553),f8(f9(x7554,x7552,x7553),x7555,x7553),x7553),f8(f9(f8(x7551,x7554,x7553),x7552,x7553),x7555,x7553))
% 1.77/1.85 [769]~P44(x7693)+E(f8(f9(x7691,x7692,x7693),f8(f9(f4(x7694,x7691,x7693),x7692,x7693),x7695,x7693),x7693),f8(f9(x7694,x7692,x7693),x7695,x7693))
% 1.77/1.85 [773]~P2(x7731,x7734,a1)+E(f4(f8(f9(x7731,x7732,a1),x7733,a1),f8(f9(x7734,x7732,a1),x7735,a1),a1),f4(x7733,f8(f9(f4(x7734,x7731,a1),x7732,a1),x7735,a1),a1))
% 1.77/1.85 [774]~P2(x7744,x7741,a1)+E(f4(f8(f9(x7741,x7742,a1),x7743,a1),f8(f9(x7744,x7742,a1),x7745,a1),a1),f4(f8(f9(f4(x7741,x7744,a1),x7742,a1),x7743,a1),x7745,a1))
% 1.77/1.85 [395]~P23(x3951)+~P2(f7(x3951),f7(x3951),x3951)+E(f8(f7(x3951),f7(x3951),x3951),f7(x3951))
% 1.77/1.85 [285]E(x2851,x2852)+P4(x2852,x2851,a1)+P4(x2851,x2852,a1)
% 1.77/1.85 [317]E(x3171,x3172)+P4(x3171,x3172,a1)+~P2(x3171,x3172,a1)
% 1.77/1.85 [367]E(x3671,x3672)+~P2(x3672,x3671,a1)+~P2(x3671,x3672,a1)
% 1.77/1.85 [256]~P33(x2562)+~P11(x2562)+E(f4(x2561,x2561,x2562),f7(x2562))
% 1.77/1.85 [268]E(x2681,f7(a1))+E(x2682,f7(a1))+~E(f9(x2682,x2681,a1),f7(a1))
% 1.77/1.85 [275]~P20(x2752)+~E(f8(x2751,x2751,x2752),f7(x2752))+E(x2751,f7(x2752))
% 1.77/1.85 [332]~P4(x3321,x3322,a1)+E(f14(x3321),x3322)+P4(f14(x3321),x3322,a1)
% 1.77/1.85 [333]E(x3331,x3332)+P4(x3332,x3331,a1)+~P4(x3332,f14(x3331),a1)
% 1.77/1.85 [335]E(x3351,x3352)+P4(x3351,x3352,a1)+~P4(x3351,f14(x3352),a1)
% 1.77/1.85 [353]P2(x3531,x3532,a1)+E(x3531,f14(x3532))+~P2(x3531,f14(x3532),a1)
% 1.77/1.85 [375]E(x3751,x3752)+~E(f4(x3752,x3751,a1),f7(a1))+~E(f4(x3751,x3752,a1),f7(a1))
% 1.77/1.85 [378]E(x3781,x3782)+~P2(x3782,x3781,a1)+~P4(x3781,f14(x3782),a1)
% 1.77/1.85 [459]~P20(x4591)+~P2(f7(x4591),x4592,x4591)+P2(f7(x4591),f8(x4592,x4592,x4591),x4591)
% 1.77/1.85 [460]~P20(x4601)+~P4(f7(x4601),x4602,x4601)+P4(f7(x4601),f8(x4602,x4602,x4601),x4601)
% 1.77/1.85 [461]~P20(x4612)+~P2(x4611,f7(x4612),x4612)+P2(f8(x4611,x4611,x4612),f7(x4612),x4612)
% 1.77/1.85 [462]~P20(x4622)+~P4(x4621,f7(x4622),x4622)+P4(f8(x4621,x4621,x4622),f7(x4622),x4622)
% 1.77/1.85 [463]~P37(x4632)+~P4(x4631,f7(x4632),x4632)+P4(f8(x4631,x4631,x4632),f7(x4632),x4632)
% 1.77/1.85 [518]~P20(x5182)+~P2(f8(x5181,x5181,x5182),f7(x5182),x5182)+P2(x5181,f7(x5182),x5182)
% 1.77/1.85 [519]~P20(x5192)+~P4(f8(x5191,x5191,x5192),f7(x5192),x5192)+P4(x5191,f7(x5192),x5192)
% 1.77/1.85 [520]~P37(x5202)+~P4(f8(x5201,x5201,x5202),f7(x5202),x5202)+P4(x5201,f7(x5202),x5202)
% 1.77/1.85 [521]~P20(x5211)+~P2(f7(x5211),f8(x5212,x5212,x5211),x5211)+P2(f7(x5211),x5212,x5211)
% 1.77/1.85 [522]~P20(x5221)+~P4(f7(x5221),f8(x5222,x5222,x5221),x5221)+P4(f7(x5221),x5222,x5221)
% 1.77/1.85 [523]P4(f4(x5231,x5232,a1),x5231,a1)+~P4(f7(a1),x5232,a1)+~P4(f7(a1),x5231,a1)
% 1.77/1.85 [525]~P4(f7(a1),x5252,a1)+~P4(f7(a1),x5251,a1)+P4(f7(a1),f9(x5251,x5252,a1),a1)
% 1.77/1.85 [559]P4(f7(a1),x5591,a1)+P4(f7(a1),x5592,a1)+~P4(f7(a1),f8(x5591,x5592,a1),a1)
% 1.77/1.85 [257]~P33(x2572)+~P11(x2572)+E(f8(x2571,f7(x2572),x2572),x2571)
% 1.77/1.85 [272]E(x2721,f7(a1))+E(x2722,f7(a1))+~E(f8(x2722,x2721,a1),f14(f7(a1)))
% 1.77/1.85 [280]E(x2801,f7(a1))+E(x2801,f14(f7(a1)))+~E(f8(x2802,x2801,a1),f14(f7(a1)))
% 1.77/1.85 [281]E(x2811,f7(a1))+E(x2811,f14(f7(a1)))+~E(f8(x2811,x2812,a1),f14(f7(a1)))
% 1.77/1.85 [290]E(x2901,f14(f7(a1)))+E(x2902,f14(f7(a1)))+~E(f8(x2902,x2901,a1),f14(f7(a1)))
% 1.77/1.85 [557]P4(x5571,f9(x5572,x5571,a1),a1)+~P4(f14(f7(a1)),x5572,a1)+~P4(f14(f7(a1)),x5571,a1)
% 1.77/1.85 [558]P4(x5581,f9(x5581,x5582,a1),a1)+~P4(f14(f7(a1)),x5582,a1)+~P4(f14(f7(a1)),x5581,a1)
% 1.77/1.85 [592]~P2(f14(f7(a1)),x5922,a1)+~P2(f14(f7(a1)),x5921,a1)+P2(f14(f7(a1)),f9(x5921,x5922,a1),a1)
% 1.77/1.85 [593]~P4(f14(f7(a1)),x5932,a1)+~P4(f14(f7(a1)),x5931,a1)+P4(f14(f7(a1)),f9(x5931,x5932,a1),a1)
% 1.77/1.85 [301]P2(x3012,x3011,x3013)+~P22(x3013)+P2(x3011,x3012,x3013)
% 1.77/1.85 [304]P4(x3042,x3041,x3043)+~P22(x3043)+P2(x3041,x3042,x3043)
% 1.77/1.85 [330]~P25(x3303)+~P4(x3301,x3302,x3303)+P2(x3301,x3302,x3303)
% 1.77/1.85 [331]~P26(x3313)+~P4(x3311,x3312,x3313)+P2(x3311,x3312,x3313)
% 1.77/1.85 [380]~P4(x3803,x3802,x3801)+~P22(x3801)+~P2(x3802,x3803,x3801)
% 1.77/1.85 [382]~P4(x3823,x3822,x3821)+~P22(x3821)+~P4(x3822,x3823,x3821)
% 1.77/1.85 [383]~P4(x3833,x3832,x3831)+~P25(x3831)+~P2(x3832,x3833,x3831)
% 1.77/1.85 [385]~P4(x3853,x3852,x3851)+~P25(x3851)+~P4(x3852,x3853,x3851)
% 1.77/1.85 [386]~P4(x3863,x3862,x3861)+~P26(x3861)+~P4(x3862,x3863,x3861)
% 1.77/1.85 [400]~P2(x4001,x4003,a1)+P2(x4001,x4002,a1)+~P2(x4003,x4002,a1)
% 1.77/1.85 [269]~P19(x2693)+E(x2691,x2692)+~E(f4(x2691,x2692,x2693),f7(x2693))
% 1.77/1.85 [270]~P10(x2703)+E(x2701,x2702)+~E(f4(x2701,x2702,x2703),f7(x2703))
% 1.77/1.85 [336]~P22(x3363)+~P2(x3361,x3362,x3363)+E(f10(x3361,x3362,x3363),x3362)
% 1.77/1.85 [337]~P22(x3373)+~P2(x3372,x3371,x3373)+E(f10(x3371,x3372,x3373),x3371)
% 1.77/1.85 [338]~P22(x3383)+~P2(x3382,x3381,x3383)+E(f13(x3381,x3382,x3383),x3382)
% 1.77/1.85 [339]~P22(x3393)+~P2(x3391,x3392,x3393)+E(f13(x3391,x3392,x3393),x3391)
% 1.77/1.85 [343]~P22(x3433)+P2(x3431,x3432,x3433)+~E(f10(x3431,x3432,x3433),x3432)
% 1.77/1.85 [344]~P22(x3443)+P2(x3441,x3442,x3443)+~E(f13(x3441,x3442,x3443),x3441)
% 1.77/1.85 [371]E(x3711,x3712)+~E(f9(x3713,x3711,a1),f9(x3713,x3712,a1))+E(x3713,f7(a1))
% 1.77/1.85 [372]E(x3721,x3722)+~E(f9(x3721,x3723,a1),f9(x3722,x3723,a1))+E(x3723,f7(a1))
% 1.77/1.85 [408]~P4(x4081,x4083,a1)+~P4(x4083,x4082,a1)+P4(f14(x4081),x4082,a1)
% 1.77/1.85 [454]E(x4541,x4542)+~E(f9(x4543,x4541,a1),f9(x4543,x4542,a1))+~P4(f7(a1),x4543,a1)
% 1.77/1.85 [456]~P21(x4563)+~P2(x4561,x4562,x4563)+P2(f4(x4561,x4562,x4563),f7(x4563),x4563)
% 1.77/1.85 [457]~P21(x4573)+~P4(x4571,x4572,x4573)+P4(f4(x4571,x4572,x4573),f7(x4573),x4573)
% 1.77/1.85 [494]~P21(x4943)+P2(x4941,x4942,x4943)+~P2(f4(x4941,x4942,x4943),f7(x4943),x4943)
% 1.77/1.85 [495]~P21(x4953)+P4(x4951,x4952,x4953)+~P4(f4(x4951,x4952,x4953),f7(x4953),x4953)
% 1.77/1.85 [618]~P2(x6182,x6181,a1)+~P4(x6181,x6183,a1)+P4(f4(x6181,x6182,a1),f4(x6183,x6182,a1),a1)
% 1.77/1.85 [619]~P4(x6193,x6192,a1)+~P4(x6193,x6191,a1)+P4(f4(x6191,x6192,a1),f4(x6191,x6193,a1),a1)
% 1.77/1.85 [621]P46(x6211,x6212)+~P45(x6211,x6213)+~P5(a16,x6213,f14(a17),x6212)
% 1.77/1.85 [624]~P4(x6241,x6243,a1)+P4(f9(x6241,x6242,a1),f9(x6243,x6242,a1),a1)+~P4(f7(a1),x6242,a1)
% 1.77/1.85 [627]~P4(x6272,x6273,a1)+P4(f9(x6271,x6272,a1),f9(x6271,x6273,a1),a1)+~P4(f7(a1),x6271,a1)
% 1.77/1.85 [682]~P2(x6823,x6822,a1)+~P2(f8(x6821,x6823,a1),x6822,a1)+P2(x6821,f4(x6822,x6823,a1),a1)
% 1.77/1.85 [683]~P2(x6832,x6833,a1)+~P2(x6831,f4(x6833,x6832,a1),a1)+P2(f8(x6831,x6832,a1),x6833,a1)
% 1.77/1.85 [715]P2(x7151,x7152,a1)+~P2(f9(x7153,x7151,a1),f9(x7153,x7152,a1),a1)+~P4(f7(a1),x7153,a1)
% 1.77/1.85 [716]P2(x7161,x7162,a1)+~P2(f9(x7161,x7163,a1),f9(x7162,x7163,a1),a1)+~P4(f7(a1),x7163,a1)
% 1.77/1.85 [644]~P38(x6442)+E(x6441,f7(x6442))+~E(f8(f9(x6443,x6443,x6442),f9(x6441,x6441,x6442),x6442),f7(x6442))
% 1.77/1.85 [645]~P38(x6452)+E(x6451,f7(x6452))+~E(f8(f9(x6451,x6451,x6452),f9(x6453,x6453,x6452),x6452),f7(x6452))
% 1.77/1.85 [677]~P2(x6772,x6773,a1)+~P2(x6772,x6771,a1)+E(f4(f4(x6771,x6772,a1),f4(x6773,x6772,a1),a1),f4(x6771,x6773,a1))
% 1.77/1.85 [730]~P38(x7302)+E(x7301,f7(x7302))+P4(f7(x7302),f8(f9(x7303,x7303,x7302),f9(x7301,x7301,x7302),x7302),x7302)
% 1.77/1.85 [731]~P38(x7312)+E(x7311,f7(x7312))+P4(f7(x7312),f8(f9(x7311,x7311,x7312),f9(x7313,x7313,x7312),x7312),x7312)
% 1.77/1.85 [764]~P38(x7642)+E(x7641,f7(x7642))+~P2(f8(f9(x7643,x7643,x7642),f9(x7641,x7641,x7642),x7642),f7(x7642),x7642)
% 1.77/1.85 [765]~P38(x7652)+E(x7651,f7(x7652))+~P2(f8(f9(x7651,x7651,x7652),f9(x7653,x7653,x7652),x7652),f7(x7652),x7652)
% 1.77/1.85 [373]~P3(x3733,x3734,x3731)+E(x3731,x3732)+~P3(x3733,x3734,x3732)
% 1.77/1.85 [387]~P10(x3874)+E(x3871,x3872)+~E(f4(x3873,x3873,x3874),f4(x3871,x3872,x3874))
% 1.77/1.85 [388]~P12(x3884)+E(x3881,x3882)+~E(f8(x3883,x3881,x3884),f8(x3883,x3882,x3884))
% 1.77/1.85 [389]~P15(x3894)+E(x3891,x3892)+~E(f8(x3893,x3891,x3894),f8(x3893,x3892,x3894))
% 1.77/1.85 [390]~P15(x3904)+E(x3901,x3902)+~E(f8(x3901,x3903,x3904),f8(x3902,x3903,x3904))
% 1.77/1.85 [391]~P10(x3913)+E(x3911,x3912)+~E(f4(x3911,x3912,x3913),f4(x3914,x3914,x3913))
% 1.77/1.85 [439]~P22(x4394)+~P2(x4391,x4393,x4394)+P2(x4391,f10(x4392,x4393,x4394),x4394)
% 1.77/1.85 [441]~P22(x4414)+~P2(x4411,x4412,x4414)+P2(x4411,f10(x4412,x4413,x4414),x4414)
% 1.77/1.85 [443]~P22(x4434)+~P4(x4431,x4433,x4434)+P4(x4431,f10(x4432,x4433,x4434),x4434)
% 1.77/1.85 [445]~P22(x4454)+~P4(x4451,x4452,x4454)+P4(x4451,f10(x4452,x4453,x4454),x4454)
% 1.77/1.85 [447]~P22(x4473)+~P2(x4472,x4474,x4473)+P2(f13(x4471,x4472,x4473),x4474,x4473)
% 1.77/1.85 [449]~P22(x4493)+~P2(x4491,x4494,x4493)+P2(f13(x4491,x4492,x4493),x4494,x4493)
% 1.77/1.85 [451]~P22(x4513)+~P4(x4512,x4514,x4513)+P4(f13(x4511,x4512,x4513),x4514,x4513)
% 1.77/1.85 [453]~P22(x4533)+~P4(x4531,x4534,x4533)+P4(f13(x4531,x4532,x4533),x4534,x4533)
% 1.77/1.85 [472]~P4(x4724,x4723,a1)+P4(x4721,x4722,a1)+~E(f8(x4721,x4723,a1),f8(x4724,x4722,a1))
% 1.77/1.85 [477]~P22(x4773)+P2(x4771,x4772,x4773)+~P2(x4771,f13(x4774,x4772,x4773),x4773)
% 1.77/1.85 [479]~P22(x4793)+P2(x4791,x4792,x4793)+~P2(x4791,f13(x4792,x4794,x4793),x4793)
% 1.77/1.85 [480]~P22(x4803)+P4(x4801,x4802,x4803)+~P4(x4801,f13(x4804,x4802,x4803),x4803)
% 1.77/1.85 [481]~P22(x4813)+P4(x4811,x4812,x4813)+~P4(x4811,f13(x4812,x4814,x4813),x4813)
% 1.77/1.85 [483]~P22(x4833)+P2(x4831,x4832,x4833)+~P2(f10(x4834,x4831,x4833),x4832,x4833)
% 1.77/1.85 [485]~P22(x4853)+P2(x4851,x4852,x4853)+~P2(f10(x4851,x4854,x4853),x4852,x4853)
% 1.77/1.85 [486]~P22(x4863)+P4(x4861,x4862,x4863)+~P4(f10(x4864,x4861,x4863),x4862,x4863)
% 1.77/1.85 [487]~P22(x4873)+P4(x4871,x4872,x4873)+~P4(f10(x4871,x4874,x4873),x4872,x4873)
% 1.77/1.85 [549]~P16(x5493)+~P2(x5491,x5494,x5493)+P2(f8(x5491,x5492,x5493),f8(x5494,x5492,x5493),x5493)
% 1.77/1.85 [550]~P17(x5503)+~P2(x5501,x5504,x5503)+P2(f8(x5501,x5502,x5503),f8(x5504,x5502,x5503),x5503)
% 1.77/1.85 [551]~P16(x5513)+~P2(x5512,x5514,x5513)+P2(f8(x5511,x5512,x5513),f8(x5511,x5514,x5513),x5513)
% 1.77/1.85 [552]~P17(x5523)+~P2(x5522,x5524,x5523)+P2(f8(x5521,x5522,x5523),f8(x5521,x5524,x5523),x5523)
% 1.77/1.85 [553]~P16(x5533)+~P4(x5531,x5534,x5533)+P4(f8(x5531,x5532,x5533),f8(x5534,x5532,x5533),x5533)
% 1.77/1.85 [554]~P24(x5543)+~P4(x5541,x5544,x5543)+P4(f8(x5541,x5542,x5543),f8(x5544,x5542,x5543),x5543)
% 1.77/1.85 [555]~P16(x5553)+~P4(x5552,x5554,x5553)+P4(f8(x5551,x5552,x5553),f8(x5551,x5554,x5553),x5553)
% 1.77/1.85 [556]~P24(x5563)+~P4(x5562,x5564,x5563)+P4(f8(x5561,x5562,x5563),f8(x5561,x5564,x5563),x5563)
% 1.77/1.85 [616]~P2(x6162,x6164,a1)+~P2(x6161,x6163,a1)+P2(f9(x6161,x6162,a1),f9(x6163,x6164,a1),a1)
% 1.77/1.85 [617]~P2(x6172,x6174,a1)+~P2(x6171,x6173,a1)+P2(f8(x6171,x6172,a1),f8(x6173,x6174,a1),a1)
% 1.77/1.85 [620]~P4(x6202,x6204,a1)+~P4(x6201,x6203,a1)+P4(f8(x6201,x6202,a1),f8(x6203,x6204,a1),a1)
% 1.77/1.85 [678]~P16(x6783)+P2(x6781,x6782,x6783)+~P2(f8(x6784,x6781,x6783),f8(x6784,x6782,x6783),x6783)
% 1.77/1.85 [679]~P16(x6793)+P2(x6791,x6792,x6793)+~P2(f8(x6791,x6794,x6793),f8(x6792,x6794,x6793),x6793)
% 1.77/1.85 [680]~P16(x6803)+P4(x6801,x6802,x6803)+~P4(f8(x6804,x6801,x6803),f8(x6804,x6802,x6803),x6803)
% 1.77/1.85 [681]~P16(x6813)+P4(x6811,x6812,x6813)+~P4(f8(x6811,x6814,x6813),f8(x6812,x6814,x6813),x6813)
% 1.77/1.85 [684]E(x6841,x6842)+E(x6843,f7(a1))+~E(f8(x6844,f9(x6843,x6841,a1),a1),f8(x6844,f9(x6843,x6842,a1),a1))
% 1.77/1.85 [711]~P33(x7113)+~P11(x7113)+E(f8(f9(x7111,x7112,x7113),f9(x7111,x7114,x7113),x7113),f8(f9(x7111,x7114,x7113),f9(x7111,x7112,x7113),x7113))
% 1.77/1.85 [752]E(x7521,x7522)+E(x7523,x7524)+~E(f8(f9(x7523,x7521,a1),f9(x7524,x7522,a1),a1),f8(f9(x7523,x7522,a1),f9(x7524,x7521,a1),a1))
% 1.77/1.85 [767]~P4(x7674,x7671,a1)+~P4(f7(a1),x7673,a1)+P4(f8(f9(x7671,f5(x7672,x7673,a1),a1),x7674,a1),f9(x7671,x7673,a1),a1)
% 1.77/1.85 [747]~P5(x7471,x7472,x7475,x7474)+P5(x7471,x7472,x7473,x7474)+~P2(x7475,x7473,a1)
% 1.77/1.85 [437]~P3(x4371,x4373,x4375)+~P3(x4372,x4375,x4374)+P3(f6(x4371,x4372),x4373,x4374)
% 1.77/1.85 [608]~P10(x6083)+E(f8(x6081,x6082,x6083),x6084)+~E(f8(x6081,f8(x6085,x6082,x6083),x6083),f8(x6085,x6084,x6083))
% 1.77/1.85 [761]~P2(x7613,x7612,a1)+~E(f8(f9(x7613,x7614,a1),x7611,a1),f8(f9(x7612,x7614,a1),x7615,a1))+E(x7611,f8(f9(f4(x7612,x7613,a1),x7614,a1),x7615,a1))
% 1.77/1.85 [762]~P2(x7622,x7621,a1)+~E(f8(f9(x7621,x7623,a1),x7624,a1),f8(f9(x7622,x7623,a1),x7625,a1))+E(f8(f9(f4(x7621,x7622,a1),x7623,a1),x7624,a1),x7625)
% 1.77/1.85 [779]~P2(x7793,x7792,a1)+~P2(f8(f9(x7793,x7794,a1),x7791,a1),f8(f9(x7792,x7794,a1),x7795,a1),a1)+P2(x7791,f8(f9(f4(x7792,x7793,a1),x7794,a1),x7795,a1),a1)
% 1.77/1.85 [780]~P2(x7803,x7802,a1)+~P4(f8(f9(x7803,x7804,a1),x7801,a1),f8(f9(x7802,x7804,a1),x7805,a1),a1)+P4(x7801,f8(f9(f4(x7802,x7803,a1),x7804,a1),x7805,a1),a1)
% 1.77/1.85 [781]~P2(x7812,x7811,a1)+~P2(f8(f9(x7811,x7813,a1),x7814,a1),f8(f9(x7812,x7813,a1),x7815,a1),a1)+P2(f8(f9(f4(x7811,x7812,a1),x7813,a1),x7814,a1),x7815,a1)
% 1.77/1.85 [782]~P2(x7822,x7821,a1)+~P4(f8(f9(x7821,x7823,a1),x7824,a1),f8(f9(x7822,x7823,a1),x7825,a1),a1)+P4(f8(f9(f4(x7821,x7822,a1),x7823,a1),x7824,a1),x7825,a1)
% 1.77/1.85 [787]~P2(x7871,x7874,a1)+P2(f8(f9(x7871,x7872,a1),x7873,a1),f8(f9(x7874,x7872,a1),x7875,a1),a1)+~P2(x7873,f8(f9(f4(x7874,x7871,a1),x7872,a1),x7875,a1),a1)
% 1.77/1.85 [788]~P2(x7881,x7884,a1)+P4(f8(f9(x7881,x7882,a1),x7883,a1),f8(f9(x7884,x7882,a1),x7885,a1),a1)+~P4(x7883,f8(f9(f4(x7884,x7881,a1),x7882,a1),x7885,a1),a1)
% 1.77/1.85 [789]~P2(x7894,x7891,a1)+P2(f8(f9(x7891,x7892,a1),x7893,a1),f8(f9(x7894,x7892,a1),x7895,a1),a1)+~P2(f8(f9(f4(x7891,x7894,a1),x7892,a1),x7893,a1),x7895,a1)
% 1.77/1.85 [790]~P2(x7904,x7901,a1)+P4(f8(f9(x7901,x7902,a1),x7903,a1),f8(f9(x7904,x7902,a1),x7905,a1),a1)+~P4(f8(f9(f4(x7901,x7904,a1),x7902,a1),x7903,a1),x7905,a1)
% 1.77/1.85 [766]~P5(x7661,x7663,x7664,x7666)+~P5(x7662,x7666,x7664,x7665)+P5(f6(x7661,x7662),x7663,x7664,x7665)
% 1.77/1.85 [756]~P44(x7564)+~E(f8(f9(x7563,x7565,x7564),x7561,x7564),f8(f9(x7562,x7565,x7564),x7566,x7564))+E(x7561,f8(f9(f4(x7562,x7563,x7564),x7565,x7564),x7566,x7564))
% 1.77/1.85 [757]~P44(x7573)+~E(f8(f9(x7571,x7574,x7573),x7575,x7573),f8(f9(x7572,x7574,x7573),x7576,x7573))+E(f8(f9(f4(x7571,x7572,x7573),x7574,x7573),x7575,x7573),x7576)
% 1.77/1.85 [775]~P42(x7754)+~P2(f8(f9(x7753,x7755,x7754),x7751,x7754),f8(f9(x7752,x7755,x7754),x7756,x7754),x7754)+P2(x7751,f8(f9(f4(x7752,x7753,x7754),x7755,x7754),x7756,x7754),x7754)
% 1.77/1.85 [776]~P42(x7764)+~P4(f8(f9(x7763,x7765,x7764),x7761,x7764),f8(f9(x7762,x7765,x7764),x7766,x7764),x7764)+P4(x7761,f8(f9(f4(x7762,x7763,x7764),x7765,x7764),x7766,x7764),x7764)
% 1.77/1.85 [777]~P42(x7773)+~P2(f8(f9(x7771,x7774,x7773),x7775,x7773),f8(f9(x7772,x7774,x7773),x7776,x7773),x7773)+P2(f8(f9(f4(x7771,x7772,x7773),x7774,x7773),x7775,x7773),x7776,x7773)
% 1.77/1.85 [778]~P42(x7783)+~P4(f8(f9(x7781,x7784,x7783),x7785,x7783),f8(f9(x7782,x7784,x7783),x7786,x7783),x7783)+P4(f8(f9(f4(x7781,x7782,x7783),x7784,x7783),x7785,x7783),x7786,x7783)
% 1.77/1.85 [783]~P42(x7833)+P2(f8(f9(x7831,x7832,x7833),x7834,x7833),f8(f9(x7835,x7832,x7833),x7836,x7833),x7833)+~P2(x7834,f8(f9(f4(x7835,x7831,x7833),x7832,x7833),x7836,x7833),x7833)
% 1.77/1.85 [784]~P42(x7843)+P4(f8(f9(x7841,x7842,x7843),x7844,x7843),f8(f9(x7845,x7842,x7843),x7846,x7843),x7843)+~P4(x7844,f8(f9(f4(x7845,x7841,x7843),x7842,x7843),x7846,x7843),x7843)
% 1.77/1.85 [785]~P42(x7853)+P2(f8(f9(x7851,x7852,x7853),x7854,x7853),f8(f9(x7855,x7852,x7853),x7856,x7853),x7853)+~P2(f8(f9(f4(x7851,x7855,x7853),x7852,x7853),x7854,x7853),x7856,x7853)
% 1.77/1.85 [786]~P42(x7863)+P4(f8(f9(x7861,x7862,x7863),x7864,x7863),f8(f9(x7865,x7862,x7863),x7866,x7863),x7863)+~P4(f8(f9(f4(x7861,x7865,x7863),x7862,x7863),x7864,x7863),x7866,x7863)
% 1.77/1.85 [791]~P5(x7913,x7914,x7917,x7915)+~P5(x7911,x7912,x7918,x7916)+P5(x7911,x7912,f12(x7913,x7911,x7914,x7912,x7915,x7916),x7916)
% 1.77/1.85 [792]~P5(x7923,x7924,x7927,x7926)+~P5(x7921,x7922,x7928,x7925)+P5(x7921,x7922,f12(x7921,x7923,x7922,x7924,x7925,x7926),x7925)
% 1.77/1.85 [309]P4(x3091,x3092,x3093)+~P22(x3093)+E(x3091,x3092)+P4(x3092,x3091,x3093)
% 1.77/1.85 [310]P4(x3101,x3102,x3103)+~P37(x3103)+E(x3101,x3102)+P4(x3102,x3101,x3103)
% 1.77/1.85 [346]~P22(x3463)+~P2(x3461,x3462,x3463)+E(x3461,x3462)+P4(x3461,x3462,x3463)
% 1.77/1.85 [352]~P26(x3523)+~P2(x3521,x3522,x3523)+E(x3521,x3522)+P4(x3521,x3522,x3523)
% 1.77/1.85 [394]~P2(x3942,x3941,x3943)+~P2(x3941,x3942,x3943)+E(x3941,x3942)+~P26(x3943)
% 1.77/1.85 [398]P4(x3982,x3981,x3983)+~P25(x3983)+~P2(x3982,x3981,x3983)+P2(x3981,x3982,x3983)
% 1.77/1.85 [282]~P33(x2822)+~P11(x2822)+~E(f8(x2823,x2821,x2822),x2823)+E(x2821,f7(x2822))
% 1.77/1.85 [283]~P33(x2833)+~P11(x2833)+E(x2831,x2832)+~E(f4(x2831,x2832,x2833),f7(x2833))
% 1.77/1.85 [286]~P43(x2862)+~E(f9(x2863,x2861,x2862),f7(x2862))+E(x2861,f7(x2862))+E(x2863,f7(x2862))
% 1.77/1.85 [288]~P30(x2882)+~E(f9(x2883,x2881,x2882),f7(x2882))+E(x2881,f7(x2882))+E(x2883,f7(x2882))
% 1.77/1.86 [524]E(x5241,x5242)+~P2(x5243,x5242,a1)+~P2(x5243,x5241,a1)+~E(f4(x5241,x5243,a1),f4(x5242,x5243,a1))
% 1.77/1.86 [560]~P38(x5601)+~P2(x5603,f7(x5601),x5601)+~P2(x5602,f7(x5601),x5601)+P2(f7(x5601),f9(x5602,x5603,x5601),x5601)
% 1.77/1.86 [562]~P42(x5621)+~P2(x5623,f7(x5621),x5621)+~P2(x5622,f7(x5621),x5621)+P2(f7(x5621),f9(x5622,x5623,x5621),x5621)
% 1.77/1.86 [563]~P38(x5631)+~P4(x5633,f7(x5631),x5631)+~P4(x5632,f7(x5631),x5631)+P4(f7(x5631),f9(x5632,x5633,x5631),x5631)
% 1.77/1.86 [564]~P38(x5641)+~P2(f7(x5641),x5643,x5641)+~P2(f7(x5641),x5642,x5641)+P2(f7(x5641),f9(x5642,x5643,x5641),x5641)
% 1.77/1.86 [565]~P42(x5651)+~P2(f7(x5651),x5653,x5651)+~P2(f7(x5651),x5652,x5651)+P2(f7(x5651),f9(x5652,x5653,x5651),x5651)
% 1.77/1.86 [566]~P40(x5661)+~P2(f7(x5661),x5663,x5661)+~P2(f7(x5661),x5662,x5661)+P2(f7(x5661),f9(x5662,x5663,x5661),x5661)
% 1.77/1.86 [567]~P23(x5671)+~P2(f7(x5671),x5673,x5671)+~P2(f7(x5671),x5672,x5671)+P2(f7(x5671),f8(x5672,x5673,x5671),x5671)
% 1.77/1.86 [568]~P28(x5681)+~P4(f7(x5681),x5683,x5681)+~P4(f7(x5681),x5682,x5681)+P4(f7(x5681),f9(x5682,x5683,x5681),x5681)
% 1.77/1.86 [569]~P23(x5691)+~P2(f7(x5691),x5693,x5691)+~P4(f7(x5691),x5692,x5691)+P4(f7(x5691),f8(x5692,x5693,x5691),x5691)
% 1.77/1.86 [570]~P23(x5701)+~P2(f7(x5701),x5702,x5701)+~P4(f7(x5701),x5703,x5701)+P4(f7(x5701),f8(x5702,x5703,x5701),x5701)
% 1.77/1.86 [571]~P23(x5711)+~P4(f7(x5711),x5713,x5711)+~P4(f7(x5711),x5712,x5711)+P4(f7(x5711),f8(x5712,x5713,x5711),x5711)
% 1.77/1.86 [572]~P23(x5723)+~P2(x5722,f7(x5723),x5723)+~P2(x5721,f7(x5723),x5723)+P2(f8(x5721,x5722,x5723),f7(x5723),x5723)
% 1.77/1.86 [573]~P23(x5733)+~P2(x5732,f7(x5733),x5733)+~P4(x5731,f7(x5733),x5733)+P4(f8(x5731,x5732,x5733),f7(x5733),x5733)
% 1.77/1.86 [574]~P23(x5743)+~P2(x5741,f7(x5743),x5743)+~P4(x5742,f7(x5743),x5743)+P4(f8(x5741,x5742,x5743),f7(x5743),x5743)
% 1.77/1.86 [575]~P23(x5753)+~P4(x5752,f7(x5753),x5753)+~P4(x5751,f7(x5753),x5753)+P4(f8(x5751,x5752,x5753),f7(x5753),x5753)
% 1.77/1.86 [576]~P38(x5763)+~P2(x5762,f7(x5763),x5763)+~P2(f7(x5763),x5761,x5763)+P2(f9(x5761,x5762,x5763),f7(x5763),x5763)
% 1.77/1.86 [577]~P38(x5773)+~P2(x5771,f7(x5773),x5773)+~P2(f7(x5773),x5772,x5773)+P2(f9(x5771,x5772,x5773),f7(x5773),x5773)
% 1.77/1.86 [579]~P40(x5793)+~P2(x5792,f7(x5793),x5793)+~P2(f7(x5793),x5791,x5793)+P2(f9(x5791,x5792,x5793),f7(x5793),x5793)
% 1.77/1.86 [582]~P40(x5823)+~P2(x5821,f7(x5823),x5823)+~P2(f7(x5823),x5822,x5823)+P2(f9(x5821,x5822,x5823),f7(x5823),x5823)
% 1.77/1.86 [583]~P28(x5833)+~P4(x5832,f7(x5833),x5833)+~P4(f7(x5833),x5831,x5833)+P4(f9(x5831,x5832,x5833),f7(x5833),x5833)
% 1.77/1.86 [585]~P28(x5853)+~P4(x5851,f7(x5853),x5853)+~P4(f7(x5853),x5852,x5853)+P4(f9(x5851,x5852,x5853),f7(x5853),x5853)
% 1.77/1.86 [595]~P38(x5952)+~P2(f9(x5953,x5951,x5952),f7(x5952),x5952)+P2(x5951,f7(x5952),x5952)+P2(x5953,f7(x5952),x5952)
% 1.77/1.86 [596]~P38(x5962)+~P2(f7(x5962),f9(x5963,x5961,x5962),x5962)+P2(x5961,f7(x5962),x5962)+P2(f7(x5962),x5963,x5962)
% 1.77/1.86 [597]~P38(x5972)+~P2(f7(x5972),f9(x5971,x5973,x5972),x5972)+P2(x5971,f7(x5972),x5972)+P2(f7(x5972),x5973,x5972)
% 1.77/1.86 [598]~P38(x5982)+~P2(f7(x5982),f9(x5983,x5981,x5982),x5982)+P2(x5981,f7(x5982),x5982)+P2(f7(x5982),x5981,x5982)
% 1.77/1.86 [599]~P38(x5992)+~P2(f7(x5992),f9(x5991,x5993,x5992),x5992)+P2(x5991,f7(x5992),x5992)+P2(f7(x5992),x5991,x5992)
% 1.77/1.86 [600]~P38(x6002)+~P2(f9(x6003,x6001,x6002),f7(x6002),x6002)+P2(x6001,f7(x6002),x6002)+P2(f7(x6002),x6001,x6002)
% 1.77/1.86 [601]~P38(x6012)+~P2(f9(x6011,x6013,x6012),f7(x6012),x6012)+P2(x6011,f7(x6012),x6012)+P2(f7(x6012),x6011,x6012)
% 1.77/1.86 [602]~P38(x6021)+~P2(f9(x6022,x6023,x6021),f7(x6021),x6021)+P2(f7(x6021),x6022,x6021)+P2(f7(x6021),x6023,x6021)
% 1.77/1.86 [614]~P28(x6141)+~P4(f7(x6141),f9(x6143,x6142,x6141),x6141)+P4(f7(x6141),x6142,x6141)+~P4(f7(x6141),x6143,x6141)
% 1.77/1.86 [615]~P28(x6151)+~P4(f7(x6151),f9(x6152,x6153,x6151),x6151)+P4(f7(x6151),x6152,x6151)+~P4(f7(x6151),x6153,x6151)
% 1.77/1.86 [732]~P2(x7323,x7321,a1)+P2(x7321,x7322,a1)+~P2(x7323,x7322,a1)+~P2(f4(x7321,x7323,a1),f4(x7322,x7323,a1),a1)
% 1.77/1.86 [733]~P2(x7333,x7331,a1)+P4(x7331,x7332,a1)+~P2(x7333,x7332,a1)+~P4(f4(x7331,x7333,a1),f4(x7332,x7333,a1),a1)
% 1.77/1.86 [410]~P25(x4103)+~P2(x4101,x4104,x4103)+P2(x4101,x4102,x4103)+~P2(x4104,x4102,x4103)
% 1.77/1.86 [411]~P26(x4113)+~P2(x4111,x4114,x4113)+P2(x4111,x4112,x4113)+~P2(x4114,x4112,x4113)
% 1.77/1.86 [412]~P25(x4123)+~P4(x4121,x4124,x4123)+P4(x4121,x4122,x4123)+~P2(x4124,x4122,x4123)
% 1.77/1.86 [413]~P25(x4133)+~P4(x4134,x4132,x4133)+P4(x4131,x4132,x4133)+~P2(x4131,x4134,x4133)
% 1.77/1.86 [414]~P25(x4143)+~P4(x4141,x4144,x4143)+P4(x4141,x4142,x4143)+~P4(x4144,x4142,x4143)
% 1.77/1.86 [415]~P26(x4153)+~P4(x4151,x4154,x4153)+P4(x4151,x4152,x4153)+~P2(x4154,x4152,x4153)
% 1.77/1.86 [416]~P26(x4163)+~P4(x4164,x4162,x4163)+P4(x4161,x4162,x4163)+~P2(x4161,x4164,x4163)
% 1.77/1.86 [417]~P26(x4173)+~P4(x4171,x4174,x4173)+P4(x4171,x4172,x4173)+~P4(x4174,x4172,x4173)
% 1.77/1.86 [397]~P33(x3974)+~P11(x3974)+E(x3971,x3972)+~E(f8(x3973,x3971,x3974),f8(x3973,x3972,x3974))
% 1.77/1.86 [528]~P22(x5284)+~P2(x5281,x5283,x5284)+~P2(x5281,x5282,x5284)+P2(x5281,f13(x5282,x5283,x5284),x5284)
% 1.77/1.86 [529]~P22(x5294)+~P4(x5291,x5293,x5294)+~P4(x5291,x5292,x5294)+P4(x5291,f13(x5292,x5293,x5294),x5294)
% 1.77/1.86 [532]~P22(x5323)+~P2(x5322,x5324,x5323)+~P2(x5321,x5324,x5323)+P2(f10(x5321,x5322,x5323),x5324,x5323)
% 1.77/1.86 [533]~P22(x5333)+~P4(x5332,x5334,x5333)+~P4(x5331,x5334,x5333)+P4(f10(x5331,x5332,x5333),x5334,x5333)
% 1.77/1.86 [544]~P35(x5444)+~P4(x5441,x5443,x5444)+~P4(f7(x5444),x5442,x5444)+P4(x5441,f8(x5442,x5443,x5444),x5444)
% 1.77/1.86 [588]~P22(x5883)+P2(x5881,x5882,x5883)+P2(x5881,x5884,x5883)+~P2(x5881,f10(x5882,x5884,x5883),x5883)
% 1.77/1.86 [589]~P22(x5893)+P4(x5891,x5892,x5893)+P4(x5891,x5894,x5893)+~P4(x5891,f10(x5892,x5894,x5893),x5893)
% 1.77/1.86 [590]~P22(x5903)+P2(x5901,x5902,x5903)+P2(x5904,x5902,x5903)+~P2(f13(x5901,x5904,x5903),x5902,x5903)
% 1.77/1.86 [591]~P22(x5913)+P4(x5911,x5912,x5913)+P4(x5914,x5912,x5913)+~P4(f13(x5911,x5914,x5913),x5912,x5913)
% 1.77/1.86 [653]~P42(x6533)+~P2(x6534,x6531,x6533)+~P2(x6532,f7(x6533),x6533)+P2(f9(x6531,x6532,x6533),f9(x6534,x6532,x6533),x6533)
% 1.77/1.86 [654]~P38(x6543)+~P2(x6544,x6542,x6543)+~P4(x6541,f7(x6543),x6543)+P2(f9(x6541,x6542,x6543),f9(x6541,x6544,x6543),x6543)
% 1.77/1.86 [655]~P42(x6553)+~P2(x6554,x6552,x6553)+~P2(x6551,f7(x6553),x6553)+P2(f9(x6551,x6552,x6553),f9(x6551,x6554,x6553),x6553)
% 1.77/1.86 [657]~P38(x6573)+~P4(x6574,x6571,x6573)+~P4(x6572,f7(x6573),x6573)+P4(f9(x6571,x6572,x6573),f9(x6574,x6572,x6573),x6573)
% 1.77/1.86 [660]~P38(x6603)+~P4(x6604,x6602,x6603)+~P4(x6601,f7(x6603),x6603)+P4(f9(x6601,x6602,x6603),f9(x6601,x6604,x6603),x6603)
% 1.77/1.86 [661]~P32(x6613)+~P2(x6611,x6614,x6613)+~P2(f7(x6613),x6612,x6613)+P2(f9(x6611,x6612,x6613),f9(x6614,x6612,x6613),x6613)
% 1.77/1.86 [662]~P38(x6623)+~P2(x6622,x6624,x6623)+~P4(f7(x6623),x6621,x6623)+P2(f9(x6621,x6622,x6623),f9(x6621,x6624,x6623),x6623)
% 1.77/1.86 [663]~P32(x6633)+~P2(x6632,x6634,x6633)+~P2(f7(x6633),x6631,x6633)+P2(f9(x6631,x6632,x6633),f9(x6631,x6634,x6633),x6633)
% 1.77/1.86 [664]~P34(x6643)+~P2(x6642,x6644,x6643)+~P2(f7(x6643),x6641,x6643)+P2(f9(x6641,x6642,x6643),f9(x6641,x6644,x6643),x6643)
% 1.77/1.86 [665]~P38(x6653)+~P4(x6651,x6654,x6653)+~P4(f7(x6653),x6652,x6653)+P4(f9(x6651,x6652,x6653),f9(x6654,x6652,x6653),x6653)
% 1.77/1.86 [666]~P28(x6663)+~P4(x6661,x6664,x6663)+~P4(f7(x6663),x6662,x6663)+P4(f9(x6661,x6662,x6663),f9(x6664,x6662,x6663),x6663)
% 1.77/1.86 [668]~P38(x6683)+~P4(x6682,x6684,x6683)+~P4(f7(x6683),x6681,x6683)+P4(f9(x6681,x6682,x6683),f9(x6681,x6684,x6683),x6683)
% 1.77/1.86 [669]~P28(x6693)+~P4(x6692,x6694,x6693)+~P4(f7(x6693),x6691,x6693)+P4(f9(x6691,x6692,x6693),f9(x6691,x6694,x6693),x6693)
% 1.77/1.86 [670]~P36(x6703)+~P4(x6702,x6704,x6703)+~P4(f7(x6703),x6701,x6703)+P4(f9(x6701,x6702,x6703),f9(x6701,x6704,x6703),x6703)
% 1.77/1.86 [693]P4(x6932,x6931,x6933)+~P38(x6933)+P4(x6931,x6932,x6933)+~P4(f9(x6934,x6931,x6933),f9(x6934,x6932,x6933),x6933)
% 1.77/1.86 [694]P4(x6942,x6941,x6943)+~P38(x6943)+P4(x6941,x6942,x6943)+~P4(f9(x6941,x6944,x6943),f9(x6942,x6944,x6943),x6943)
% 1.77/1.86 [706]~P38(x7063)+P4(x7061,x7062,x7063)+~P4(f9(x7061,x7064,x7063),f9(x7062,x7064,x7063),x7063)+P4(x7064,f7(x7063),x7063)
% 1.77/1.86 [707]~P38(x7073)+P4(x7071,x7072,x7073)+~P4(f9(x7074,x7071,x7073),f9(x7074,x7072,x7073),x7073)+P4(x7074,f7(x7073),x7073)
% 1.77/1.86 [708]~P38(x7083)+P4(x7081,x7082,x7083)+~P4(f9(x7084,x7082,x7083),f9(x7084,x7081,x7083),x7083)+P4(f7(x7083),x7084,x7083)
% 1.77/1.86 [709]~P38(x7093)+P4(x7091,x7092,x7093)+~P4(f9(x7092,x7094,x7093),f9(x7091,x7094,x7093),x7093)+P4(f7(x7093),x7094,x7093)
% 1.77/1.86 [712]~P38(x7122)+~P4(f9(x7123,x7121,x7122),f9(x7124,x7121,x7122),x7122)+P4(x7121,f7(x7122),x7122)+P4(f7(x7122),x7121,x7122)
% 1.77/1.86 [713]~P38(x7132)+~P4(f9(x7131,x7133,x7132),f9(x7131,x7134,x7132),x7132)+P4(x7131,f7(x7132),x7132)+P4(f7(x7132),x7131,x7132)
% 1.77/1.86 [718]~P38(x7183)+P2(x7181,x7182,x7183)+~P2(f9(x7184,x7182,x7183),f9(x7184,x7181,x7183),x7183)+~P4(x7184,f7(x7183),x7183)
% 1.77/1.86 [719]~P38(x7193)+P4(x7191,x7192,x7193)+~P4(f9(x7194,x7192,x7193),f9(x7194,x7191,x7193),x7193)+~P4(x7194,f7(x7193),x7193)
% 1.77/1.86 [720]~P38(x7203)+P2(x7201,x7202,x7203)+~P2(f9(x7204,x7201,x7203),f9(x7204,x7202,x7203),x7203)+~P4(f7(x7203),x7204,x7203)
% 1.77/1.86 [721]~P28(x7213)+P2(x7211,x7212,x7213)+~P2(f9(x7214,x7211,x7213),f9(x7214,x7212,x7213),x7213)+~P4(f7(x7213),x7214,x7213)
% 1.90/1.86 [722]~P28(x7223)+P2(x7221,x7222,x7223)+~P2(f9(x7221,x7224,x7223),f9(x7222,x7224,x7223),x7223)+~P4(f7(x7223),x7224,x7223)
% 1.90/1.86 [723]~P38(x7233)+P4(x7231,x7232,x7233)+~P4(f9(x7234,x7231,x7233),f9(x7234,x7232,x7233),x7233)+~P4(f7(x7233),x7234,x7233)
% 1.90/1.86 [724]~P28(x7243)+P4(x7241,x7242,x7243)+~P4(f9(x7244,x7241,x7243),f9(x7244,x7242,x7243),x7243)+~P2(f7(x7243),x7244,x7243)
% 1.90/1.86 [725]~P28(x7253)+P4(x7251,x7252,x7253)+~P4(f9(x7251,x7254,x7253),f9(x7252,x7254,x7253),x7253)+~P2(f7(x7253),x7254,x7253)
% 1.90/1.86 [726]~P29(x7263)+P4(x7261,x7262,x7263)+~P4(f9(x7264,x7261,x7263),f9(x7264,x7262,x7263),x7263)+~P2(f7(x7263),x7264,x7263)
% 1.90/1.86 [727]~P29(x7273)+P4(x7271,x7272,x7273)+~P4(f9(x7271,x7274,x7273),f9(x7272,x7274,x7273),x7273)+~P2(f7(x7273),x7274,x7273)
% 1.90/1.86 [490]~P21(x4903)+~P2(x4905,x4904,x4903)+P2(x4901,x4902,x4903)+~E(f4(x4904,x4905,x4903),f4(x4902,x4901,x4903))
% 1.90/1.86 [491]~P21(x4913)+~P2(x4915,x4914,x4913)+P2(x4911,x4912,x4913)+~E(f4(x4912,x4911,x4913),f4(x4914,x4915,x4913))
% 1.90/1.86 [492]~P21(x4923)+~P4(x4924,x4925,x4923)+P4(x4921,x4922,x4923)+~E(f4(x4924,x4925,x4923),f4(x4921,x4922,x4923))
% 1.90/1.86 [493]~P21(x4933)+~P4(x4934,x4935,x4933)+P4(x4931,x4932,x4933)+~E(f4(x4931,x4932,x4933),f4(x4934,x4935,x4933))
% 1.90/1.86 [648]~P17(x6483)+~P2(x6482,x6485,x6483)+~P2(x6481,x6484,x6483)+P2(f8(x6481,x6482,x6483),f8(x6484,x6485,x6483),x6483)
% 1.90/1.86 [649]~P24(x6493)+~P2(x6492,x6495,x6493)+~P4(x6491,x6494,x6493)+P4(f8(x6491,x6492,x6493),f8(x6494,x6495,x6493),x6493)
% 1.90/1.86 [650]~P24(x6503)+~P2(x6501,x6504,x6503)+~P4(x6502,x6505,x6503)+P4(f8(x6501,x6502,x6503),f8(x6504,x6505,x6503),x6503)
% 1.90/1.86 [651]~P24(x6513)+~P4(x6512,x6515,x6513)+~P4(x6511,x6514,x6513)+P4(f8(x6511,x6512,x6513),f8(x6514,x6515,x6513),x6513)
% 1.90/1.86 [687]~P21(x6874)+~P2(x6875,x6873,x6874)+~P2(x6871,f8(x6872,x6875,x6874),x6874)+P2(x6871,f8(x6872,x6873,x6874),x6874)
% 1.90/1.86 [743]~P6(x7433)+~E(f5(x7431,x7434,x7433),f5(x7435,x7434,x7433))+~E(f5(x7432,x7434,x7433),f5(x7436,x7434,x7433))+E(f5(f4(x7431,x7432,x7433),x7434,x7433),f5(f4(x7435,x7436,x7433),x7434,x7433))
% 1.90/1.86 [744]~P1(x7443)+~E(f5(x7441,x7444,x7443),f5(x7445,x7444,x7443))+~E(f5(x7442,x7444,x7443),f5(x7446,x7444,x7443))+E(f5(f9(x7441,x7442,x7443),x7444,x7443),f5(f9(x7445,x7446,x7443),x7444,x7443))
% 1.90/1.86 [745]~P1(x7453)+~E(f5(x7451,x7454,x7453),f5(x7455,x7454,x7453))+~E(f5(x7452,x7454,x7453),f5(x7456,x7454,x7453))+E(f5(f8(x7451,x7452,x7453),x7454,x7453),f5(f8(x7455,x7456,x7453),x7454,x7453))
% 1.90/1.86 [467]~P23(x4672)+~P2(f7(x4672),x4671,x4672)+~P2(f7(x4672),x4673,x4672)+~E(f8(x4673,x4671,x4672),f7(x4672))+E(x4671,f7(x4672))
% 1.90/1.86 [468]~P23(x4682)+~P2(f7(x4682),x4683,x4682)+~P2(f7(x4682),x4681,x4682)+~E(f8(x4681,x4683,x4682),f7(x4682))+E(x4681,f7(x4682))
% 1.90/1.86 [545]~P8(x5454)+~P16(x5454)+~P2(x5451,x5453,x5454)+~P2(f7(x5454),x5452,x5454)+P2(x5451,f8(x5452,x5453,x5454),x5454)
% 1.90/1.86 [546]~P8(x5464)+~P16(x5464)+~P2(x5461,x5462,x5464)+~P2(f7(x5464),x5463,x5464)+P2(x5461,f8(x5462,x5463,x5464),x5464)
% 1.90/1.86 [547]~P8(x5474)+~P16(x5474)+~P2(x5471,x5473,x5474)+~P4(f7(x5474),x5472,x5474)+P4(x5471,f8(x5472,x5473,x5474),x5474)
% 1.90/1.86 [548]~P8(x5484)+~P16(x5484)+~P4(x5481,x5483,x5484)+~P2(f7(x5484),x5482,x5484)+P4(x5481,f8(x5482,x5483,x5484),x5484)
% 1.90/1.86 [692]~P33(x6924)+~P11(x6924)+E(x6921,x6922)+E(x6923,f7(x6924))+~E(f8(x6925,f9(x6923,x6921,x6924),x6924),f8(x6925,f9(x6923,x6922,x6924),x6924))
% 1.90/1.86 [754]~P33(x7545)+~P11(x7545)+E(x7541,x7542)+E(x7543,x7544)+~E(f8(f9(x7543,x7541,x7545),f9(x7544,x7542,x7545),x7545),f8(f9(x7543,x7542,x7545),f9(x7544,x7541,x7545),x7545))
% 1.90/1.86 [734]~P41(x7343)+~P2(x7342,x7345,x7343)+~P2(x7341,x7344,x7343)+~P2(f7(x7343),x7344,x7343)+~P2(f7(x7343),x7342,x7343)+P2(f9(x7341,x7342,x7343),f9(x7344,x7345,x7343),x7343)
% 1.90/1.86 [735]~P41(x7353)+~P2(x7352,x7355,x7353)+~P2(x7351,x7354,x7353)+~P2(f7(x7353),x7352,x7353)+~P2(f7(x7353),x7351,x7353)+P2(f9(x7351,x7352,x7353),f9(x7354,x7355,x7353),x7353)
% 1.90/1.86 [736]~P28(x7363)+~P2(x7362,x7365,x7363)+~P4(x7361,x7364,x7363)+~P2(f7(x7363),x7361,x7363)+~P4(f7(x7363),x7362,x7363)+P4(f9(x7361,x7362,x7363),f9(x7364,x7365,x7363),x7363)
% 1.90/1.86 [737]~P28(x7373)+~P2(x7371,x7374,x7373)+~P4(x7372,x7375,x7373)+~P2(f7(x7373),x7372,x7373)+~P4(f7(x7373),x7371,x7373)+P4(f9(x7371,x7372,x7373),f9(x7374,x7375,x7373),x7373)
% 1.90/1.86 [738]~P28(x7383)+~P4(x7382,x7385,x7383)+~P4(x7381,x7384,x7383)+~P2(f7(x7383),x7382,x7383)+~P2(f7(x7383),x7381,x7383)+P4(f9(x7381,x7382,x7383),f9(x7384,x7385,x7383),x7383)
% 1.90/1.86 [739]~P28(x7393)+~P4(x7392,x7395,x7393)+~P4(x7391,x7394,x7393)+~P2(f7(x7393),x7392,x7393)+~P4(f7(x7393),x7394,x7393)+P4(f9(x7391,x7392,x7393),f9(x7394,x7395,x7393),x7393)
% 1.90/1.86 %EqnAxiom
% 1.90/1.86 [1]E(x11,x11)
% 1.90/1.86 [2]E(x22,x21)+~E(x21,x22)
% 1.90/1.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.90/1.86 [4]~E(x41,x42)+E(f4(x41,x43,x44),f4(x42,x43,x44))
% 1.90/1.86 [5]~E(x51,x52)+E(f4(x53,x51,x54),f4(x53,x52,x54))
% 1.90/1.86 [6]~E(x61,x62)+E(f4(x63,x64,x61),f4(x63,x64,x62))
% 1.90/1.86 [7]~E(x71,x72)+E(f7(x71),f7(x72))
% 1.90/1.86 [8]~E(x81,x82)+E(f9(x81,x83,x84),f9(x82,x83,x84))
% 1.90/1.86 [9]~E(x91,x92)+E(f9(x93,x91,x94),f9(x93,x92,x94))
% 1.90/1.86 [10]~E(x101,x102)+E(f9(x103,x104,x101),f9(x103,x104,x102))
% 1.90/1.86 [11]~E(x111,x112)+E(f8(x111,x113,x114),f8(x112,x113,x114))
% 1.90/1.86 [12]~E(x121,x122)+E(f8(x123,x121,x124),f8(x123,x122,x124))
% 1.90/1.86 [13]~E(x131,x132)+E(f8(x133,x134,x131),f8(x133,x134,x132))
% 1.90/1.86 [14]~E(x141,x142)+E(f10(x141,x143,x144),f10(x142,x143,x144))
% 1.90/1.86 [15]~E(x151,x152)+E(f10(x153,x151,x154),f10(x153,x152,x154))
% 1.90/1.86 [16]~E(x161,x162)+E(f10(x163,x164,x161),f10(x163,x164,x162))
% 1.90/1.86 [17]~E(x171,x172)+E(f5(x171,x173,x174),f5(x172,x173,x174))
% 1.90/1.86 [18]~E(x181,x182)+E(f5(x183,x181,x184),f5(x183,x182,x184))
% 1.90/1.86 [19]~E(x191,x192)+E(f5(x193,x194,x191),f5(x193,x194,x192))
% 1.90/1.86 [20]~E(x201,x202)+E(f12(x201,x203,x204,x205,x206,x207),f12(x202,x203,x204,x205,x206,x207))
% 1.90/1.86 [21]~E(x211,x212)+E(f12(x213,x211,x214,x215,x216,x217),f12(x213,x212,x214,x215,x216,x217))
% 1.90/1.86 [22]~E(x221,x222)+E(f12(x223,x224,x221,x225,x226,x227),f12(x223,x224,x222,x225,x226,x227))
% 1.90/1.86 [23]~E(x231,x232)+E(f12(x233,x234,x235,x231,x236,x237),f12(x233,x234,x235,x232,x236,x237))
% 1.90/1.86 [24]~E(x241,x242)+E(f12(x243,x244,x245,x246,x241,x247),f12(x243,x244,x245,x246,x242,x247))
% 1.90/1.86 [25]~E(x251,x252)+E(f12(x253,x254,x255,x256,x257,x251),f12(x253,x254,x255,x256,x257,x252))
% 1.90/1.86 [26]~E(x261,x262)+E(f14(x261),f14(x262))
% 1.90/1.86 [27]~E(x271,x272)+E(f13(x271,x273,x274),f13(x272,x273,x274))
% 1.90/1.86 [28]~E(x281,x282)+E(f13(x283,x281,x284),f13(x283,x282,x284))
% 1.90/1.86 [29]~E(x291,x292)+E(f13(x293,x294,x291),f13(x293,x294,x292))
% 1.90/1.86 [30]~E(x301,x302)+E(f6(x301,x303),f6(x302,x303))
% 1.90/1.86 [31]~E(x311,x312)+E(f6(x313,x311),f6(x313,x312))
% 1.90/1.86 [32]~E(x321,x322)+E(f3(x321),f3(x322))
% 1.90/1.86 [33]~E(x331,x332)+E(f11(x331,x333,x334,x335),f11(x332,x333,x334,x335))
% 1.90/1.86 [34]~E(x341,x342)+E(f11(x343,x341,x344,x345),f11(x343,x342,x344,x345))
% 1.90/1.86 [35]~E(x351,x352)+E(f11(x353,x354,x351,x355),f11(x353,x354,x352,x355))
% 1.90/1.86 [36]~E(x361,x362)+E(f11(x363,x364,x365,x361),f11(x363,x364,x365,x362))
% 1.90/1.86 [37]~P1(x371)+P1(x372)+~E(x371,x372)
% 1.90/1.86 [38]~P7(x381)+P7(x382)+~E(x381,x382)
% 1.90/1.86 [39]~P8(x391)+P8(x392)+~E(x391,x392)
% 1.90/1.86 [40]~P28(x401)+P28(x402)+~E(x401,x402)
% 1.90/1.86 [41]~P16(x411)+P16(x412)+~E(x411,x412)
% 1.90/1.86 [42]~P22(x421)+P22(x422)+~E(x421,x422)
% 1.90/1.86 [43]~P17(x431)+P17(x432)+~E(x431,x432)
% 1.90/1.86 [44]~P23(x441)+P23(x442)+~E(x441,x442)
% 1.90/1.86 [45]~P25(x451)+P25(x452)+~E(x451,x452)
% 1.90/1.86 [46]~P26(x461)+P26(x462)+~E(x461,x462)
% 1.90/1.86 [47]~P9(x471)+P9(x472)+~E(x471,x472)
% 1.90/1.86 [48]~P29(x481)+P29(x482)+~E(x481,x482)
% 1.90/1.86 [49]~P30(x491)+P30(x492)+~E(x491,x492)
% 1.90/1.86 [50]~P31(x501)+P31(x502)+~E(x501,x502)
% 1.90/1.86 [51]~P39(x511)+P39(x512)+~E(x511,x512)
% 1.90/1.86 [52]~P40(x521)+P40(x522)+~E(x521,x522)
% 1.90/1.86 [53]~P24(x531)+P24(x532)+~E(x531,x532)
% 1.90/1.86 [54]~P35(x541)+P35(x542)+~E(x541,x542)
% 1.90/1.86 [55]~P32(x551)+P32(x552)+~E(x551,x552)
% 1.90/1.86 [56]~P34(x561)+P34(x562)+~E(x561,x562)
% 1.90/1.86 [57]~P12(x571)+P12(x572)+~E(x571,x572)
% 1.90/1.86 [58]~P15(x581)+P15(x582)+~E(x581,x582)
% 1.90/1.86 [59]~P36(x591)+P36(x592)+~E(x591,x592)
% 1.90/1.86 [60]~P41(x601)+P41(x602)+~E(x601,x602)
% 1.90/1.86 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 1.90/1.86 [62]~P13(x621)+P13(x622)+~E(x621,x622)
% 1.90/1.86 [63]~P27(x631)+P27(x632)+~E(x631,x632)
% 1.90/1.86 [64]P45(x642,x643)+~E(x641,x642)+~P45(x641,x643)
% 1.90/1.86 [65]P45(x653,x652)+~E(x651,x652)+~P45(x653,x651)
% 1.90/1.86 [66]P2(x662,x663,x664)+~E(x661,x662)+~P2(x661,x663,x664)
% 1.90/1.86 [67]P2(x673,x672,x674)+~E(x671,x672)+~P2(x673,x671,x674)
% 1.90/1.86 [68]P2(x683,x684,x682)+~E(x681,x682)+~P2(x683,x684,x681)
% 1.90/1.86 [69]~P38(x691)+P38(x692)+~E(x691,x692)
% 1.90/1.86 [70]P3(x702,x703,x704)+~E(x701,x702)+~P3(x701,x703,x704)
% 1.90/1.86 [71]P3(x713,x712,x714)+~E(x711,x712)+~P3(x713,x711,x714)
% 1.90/1.86 [72]P3(x723,x724,x722)+~E(x721,x722)+~P3(x723,x724,x721)
% 1.90/1.86 [73]P4(x732,x733,x734)+~E(x731,x732)+~P4(x731,x733,x734)
% 1.90/1.86 [74]P4(x743,x742,x744)+~E(x741,x742)+~P4(x743,x741,x744)
% 1.90/1.86 [75]P4(x753,x754,x752)+~E(x751,x752)+~P4(x753,x754,x751)
% 1.90/1.86 [76]~P20(x761)+P20(x762)+~E(x761,x762)
% 1.90/1.86 [77]~P11(x771)+P11(x772)+~E(x771,x772)
% 1.90/1.86 [78]~P42(x781)+P42(x782)+~E(x781,x782)
% 1.90/1.86 [79]~P43(x791)+P43(x792)+~E(x791,x792)
% 1.90/1.86 [80]~P10(x801)+P10(x802)+~E(x801,x802)
% 1.90/1.86 [81]P5(x812,x813,x814,x815)+~E(x811,x812)+~P5(x811,x813,x814,x815)
% 1.90/1.86 [82]P5(x823,x822,x824,x825)+~E(x821,x822)+~P5(x823,x821,x824,x825)
% 1.90/1.86 [83]P5(x833,x834,x832,x835)+~E(x831,x832)+~P5(x833,x834,x831,x835)
% 1.90/1.86 [84]P5(x843,x844,x845,x842)+~E(x841,x842)+~P5(x843,x844,x845,x841)
% 1.90/1.86 [85]~P14(x851)+P14(x852)+~E(x851,x852)
% 1.90/1.86 [86]~P33(x861)+P33(x862)+~E(x861,x862)
% 1.90/1.86 [87]~P21(x871)+P21(x872)+~E(x871,x872)
% 1.90/1.86 [88]~P19(x881)+P19(x882)+~E(x881,x882)
% 1.90/1.86 [89]~P6(x891)+P6(x892)+~E(x891,x892)
% 1.90/1.86 [90]~P44(x901)+P44(x902)+~E(x901,x902)
% 1.90/1.86 [91]P46(x912,x913)+~E(x911,x912)+~P46(x911,x913)
% 1.90/1.86 [92]P46(x923,x922)+~E(x921,x922)+~P46(x923,x921)
% 1.90/1.86 [93]~P37(x931)+P37(x932)+~E(x931,x932)
% 1.90/1.86
% 1.90/1.86 %-------------------------------------------
% 1.90/1.87 cnf(799,plain,
% 1.90/1.87 (P2(f5(x7991,x7992,a1),x7991,a1)),
% 1.90/1.87 inference(rename_variables,[],[163])).
% 1.90/1.87 cnf(802,plain,
% 1.90/1.87 (P4(x8021,f14(f8(x8022,x8021,a1)),a1)),
% 1.90/1.87 inference(rename_variables,[],[178])).
% 1.90/1.87 cnf(805,plain,
% 1.90/1.87 (P2(x8051,f9(x8051,x8051,a1),a1)),
% 1.90/1.87 inference(rename_variables,[],[158])).
% 1.90/1.87 cnf(808,plain,
% 1.90/1.87 (P2(x8081,f9(x8081,x8081,a1),a1)),
% 1.90/1.87 inference(rename_variables,[],[158])).
% 1.90/1.87 cnf(811,plain,
% 1.90/1.87 (~P4(x8111,x8111,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(814,plain,
% 1.90/1.87 (~P4(f8(x8141,x8142,a1),x8142,a1)),
% 1.90/1.87 inference(rename_variables,[],[222])).
% 1.90/1.87 cnf(817,plain,
% 1.90/1.87 (~P4(f8(x8171,x8172,a1),x8172,a1)),
% 1.90/1.87 inference(rename_variables,[],[222])).
% 1.90/1.87 cnf(820,plain,
% 1.90/1.87 (~P2(f14(x8201),x8201,a1)),
% 1.90/1.87 inference(rename_variables,[],[220])).
% 1.90/1.87 cnf(823,plain,
% 1.90/1.87 (~P2(f14(x8231),x8231,a1)),
% 1.90/1.87 inference(rename_variables,[],[220])).
% 1.90/1.87 cnf(826,plain,
% 1.90/1.87 (P2(x8261,f9(x8261,x8261,a1),a1)),
% 1.90/1.87 inference(rename_variables,[],[158])).
% 1.90/1.87 cnf(829,plain,
% 1.90/1.87 (P4(x8291,f14(x8291),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(832,plain,
% 1.90/1.87 (P2(x8321,f9(x8321,x8321,a1),a1)),
% 1.90/1.87 inference(rename_variables,[],[158])).
% 1.90/1.87 cnf(835,plain,
% 1.90/1.87 (P2(x8351,f9(x8351,x8351,a1),a1)),
% 1.90/1.87 inference(rename_variables,[],[158])).
% 1.90/1.87 cnf(840,plain,
% 1.90/1.87 (~P4(f8(x8401,x8402,a1),x8402,a1)),
% 1.90/1.87 inference(rename_variables,[],[222])).
% 1.90/1.87 cnf(843,plain,
% 1.90/1.87 (~P4(f8(x8431,x8432,a1),x8432,a1)),
% 1.90/1.87 inference(rename_variables,[],[222])).
% 1.90/1.87 cnf(846,plain,
% 1.90/1.87 (~P2(f14(x8461),x8461,a1)),
% 1.90/1.87 inference(rename_variables,[],[220])).
% 1.90/1.87 cnf(849,plain,
% 1.90/1.87 (~P4(f8(x8491,x8492,a1),x8492,a1)),
% 1.90/1.87 inference(rename_variables,[],[222])).
% 1.90/1.87 cnf(852,plain,
% 1.90/1.87 (P4(x8521,f14(x8521),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(855,plain,
% 1.90/1.87 (P4(x8551,f14(x8551),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(858,plain,
% 1.90/1.87 (~E(f14(x8581),x8581)),
% 1.90/1.87 inference(rename_variables,[],[206])).
% 1.90/1.87 cnf(865,plain,
% 1.90/1.87 (P4(x8651,f14(f8(x8651,x8652,a1)),a1)),
% 1.90/1.87 inference(rename_variables,[],[180])).
% 1.90/1.87 cnf(870,plain,
% 1.90/1.87 (E(f4(f8(x8701,x8702,a1),x8702,a1),x8701)),
% 1.90/1.87 inference(rename_variables,[],[164])).
% 1.90/1.87 cnf(873,plain,
% 1.90/1.87 (~P4(x8731,x8731,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(876,plain,
% 1.90/1.87 (~P4(x8761,x8761,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(879,plain,
% 1.90/1.87 (~P4(x8791,x8791,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(882,plain,
% 1.90/1.87 (~P4(x8821,x8821,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(885,plain,
% 1.90/1.87 (~P4(x8851,x8851,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(888,plain,
% 1.90/1.87 (~P4(x8881,x8881,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(891,plain,
% 1.90/1.87 (~P2(f14(x8911),x8911,a1)),
% 1.90/1.87 inference(rename_variables,[],[220])).
% 1.90/1.87 cnf(894,plain,
% 1.90/1.87 (~E(f14(x8941),f7(a1))),
% 1.90/1.87 inference(rename_variables,[],[210])).
% 1.90/1.87 cnf(903,plain,
% 1.90/1.87 (~P4(x9031,x9031,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(905,plain,
% 1.90/1.87 (~P4(x9051,x9051,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(909,plain,
% 1.90/1.87 (P2(x9091,f9(x9091,x9091,a1),a1)),
% 1.90/1.87 inference(rename_variables,[],[158])).
% 1.90/1.87 cnf(911,plain,
% 1.90/1.87 (P2(f7(a1),x9111,a1)),
% 1.90/1.87 inference(rename_variables,[],[126])).
% 1.90/1.87 cnf(913,plain,
% 1.90/1.87 (~E(f14(x9131),x9131)),
% 1.90/1.87 inference(rename_variables,[],[206])).
% 1.90/1.87 cnf(915,plain,
% 1.90/1.87 (P2(f4(x9151,x9152,a1),x9151,a1)),
% 1.90/1.87 inference(rename_variables,[],[162])).
% 1.90/1.87 cnf(919,plain,
% 1.90/1.87 (P2(f7(a1),x9191,a1)),
% 1.90/1.87 inference(rename_variables,[],[126])).
% 1.90/1.87 cnf(926,plain,
% 1.90/1.87 (P2(f7(a1),x9261,a1)),
% 1.90/1.87 inference(rename_variables,[],[126])).
% 1.90/1.87 cnf(929,plain,
% 1.90/1.87 (P4(x9291,f14(f8(x9292,x9291,a1)),a1)),
% 1.90/1.87 inference(rename_variables,[],[178])).
% 1.90/1.87 cnf(935,plain,
% 1.90/1.87 (P4(x9351,f14(x9351),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(938,plain,
% 1.90/1.87 (P4(x9381,f14(x9381),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(941,plain,
% 1.90/1.87 (P4(x9411,f14(x9411),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(944,plain,
% 1.90/1.87 (P2(x9441,x9441,a1)),
% 1.90/1.87 inference(rename_variables,[],[123])).
% 1.90/1.87 cnf(947,plain,
% 1.90/1.87 (P2(x9471,x9471,a1)),
% 1.90/1.87 inference(rename_variables,[],[123])).
% 1.90/1.87 cnf(950,plain,
% 1.90/1.87 (P2(x9501,x9501,a1)),
% 1.90/1.87 inference(rename_variables,[],[123])).
% 1.90/1.87 cnf(953,plain,
% 1.90/1.87 (P2(x9531,x9531,a1)),
% 1.90/1.87 inference(rename_variables,[],[123])).
% 1.90/1.87 cnf(956,plain,
% 1.90/1.87 (~P4(x9561,x9561,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(959,plain,
% 1.90/1.87 (~P4(x9591,x9591,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(962,plain,
% 1.90/1.87 (~P4(x9621,x9621,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(965,plain,
% 1.90/1.87 (~P4(x9651,x9651,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(968,plain,
% 1.90/1.87 (~P2(f14(x9681),x9681,a1)),
% 1.90/1.87 inference(rename_variables,[],[220])).
% 1.90/1.87 cnf(971,plain,
% 1.90/1.87 (~P2(f14(x9711),x9711,a1)),
% 1.90/1.87 inference(rename_variables,[],[220])).
% 1.90/1.87 cnf(979,plain,
% 1.90/1.87 (E(f4(f7(a1),x9791,a1),f7(a1))),
% 1.90/1.87 inference(rename_variables,[],[135])).
% 1.90/1.87 cnf(985,plain,
% 1.90/1.87 (P2(f7(a1),x9851,a1)),
% 1.90/1.87 inference(rename_variables,[],[126])).
% 1.90/1.87 cnf(988,plain,
% 1.90/1.87 (~P4(f8(x9881,x9882,a1),x9882,a1)),
% 1.90/1.87 inference(rename_variables,[],[222])).
% 1.90/1.87 cnf(989,plain,
% 1.90/1.87 (P4(x9891,f14(x9891),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(992,plain,
% 1.90/1.87 (~P4(x9921,f7(a1),a1)),
% 1.90/1.87 inference(rename_variables,[],[219])).
% 1.90/1.87 cnf(997,plain,
% 1.90/1.87 (~P2(f14(x9971),x9971,a1)),
% 1.90/1.87 inference(rename_variables,[],[220])).
% 1.90/1.87 cnf(1000,plain,
% 1.90/1.87 (E(f4(f8(x10001,x10002,a1),x10001,a1),x10002)),
% 1.90/1.87 inference(rename_variables,[],[165])).
% 1.90/1.87 cnf(1004,plain,
% 1.90/1.87 (P4(x10041,f14(x10041),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(1012,plain,
% 1.90/1.87 (P2(f7(a1),x10121,a1)),
% 1.90/1.87 inference(rename_variables,[],[126])).
% 1.90/1.87 cnf(1015,plain,
% 1.90/1.87 (~P4(x10151,x10151,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(1020,plain,
% 1.90/1.87 (~P4(x10201,x10201,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(1023,plain,
% 1.90/1.87 (~P2(f14(x10231),x10231,a1)),
% 1.90/1.87 inference(rename_variables,[],[220])).
% 1.90/1.87 cnf(1026,plain,
% 1.90/1.87 (~E(f14(x10261),x10261)),
% 1.90/1.87 inference(rename_variables,[],[206])).
% 1.90/1.87 cnf(1029,plain,
% 1.90/1.87 (P4(x10291,f14(x10291),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(1032,plain,
% 1.90/1.87 (P4(x10321,f14(x10321),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(1035,plain,
% 1.90/1.87 (P2(f5(x10351,x10352,a1),x10351,a1)),
% 1.90/1.87 inference(rename_variables,[],[163])).
% 1.90/1.87 cnf(1038,plain,
% 1.90/1.87 (~P4(x10381,x10381,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(1044,plain,
% 1.90/1.87 (P2(x10441,f9(x10441,f9(x10441,x10441,a1),a1),a1)),
% 1.90/1.87 inference(rename_variables,[],[190])).
% 1.90/1.87 cnf(1047,plain,
% 1.90/1.87 (~P4(x10471,f7(a1),a1)),
% 1.90/1.87 inference(rename_variables,[],[219])).
% 1.90/1.87 cnf(1053,plain,
% 1.90/1.87 (E(f4(f8(x10531,x10532,a1),x10532,a1),x10531)),
% 1.90/1.87 inference(rename_variables,[],[164])).
% 1.90/1.87 cnf(1054,plain,
% 1.90/1.87 (P2(f7(a1),x10541,a1)),
% 1.90/1.87 inference(rename_variables,[],[126])).
% 1.90/1.87 cnf(1055,plain,
% 1.90/1.87 (P2(x10551,x10551,a1)),
% 1.90/1.87 inference(rename_variables,[],[123])).
% 1.90/1.87 cnf(1058,plain,
% 1.90/1.87 (P4(x10581,f14(x10581),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(1061,plain,
% 1.90/1.87 (P4(x10611,f14(x10611),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(1068,plain,
% 1.90/1.87 (P2(x10681,x10681,a1)),
% 1.90/1.87 inference(rename_variables,[],[123])).
% 1.90/1.87 cnf(1071,plain,
% 1.90/1.87 (~P4(x10711,x10711,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(1072,plain,
% 1.90/1.87 (P4(x10721,f14(x10721),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(1075,plain,
% 1.90/1.87 (~P4(x10751,x10751,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(1076,plain,
% 1.90/1.87 (P4(x10761,f14(x10761),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(1081,plain,
% 1.90/1.87 (P2(f7(a1),x10811,a1)),
% 1.90/1.87 inference(rename_variables,[],[126])).
% 1.90/1.87 cnf(1084,plain,
% 1.90/1.87 (~P4(x10841,x10841,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(1085,plain,
% 1.90/1.87 (P4(x10851,f14(x10851),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(1088,plain,
% 1.90/1.87 (P2(x10881,x10881,a1)),
% 1.90/1.87 inference(rename_variables,[],[123])).
% 1.90/1.87 cnf(1091,plain,
% 1.90/1.87 (P2(x10911,x10911,a1)),
% 1.90/1.87 inference(rename_variables,[],[123])).
% 1.90/1.87 cnf(1094,plain,
% 1.90/1.87 (P2(x10941,f9(x10941,x10941,a1),a1)),
% 1.90/1.87 inference(rename_variables,[],[158])).
% 1.90/1.87 cnf(1095,plain,
% 1.90/1.87 (P2(x10951,x10951,a1)),
% 1.90/1.87 inference(rename_variables,[],[123])).
% 1.90/1.87 cnf(1120,plain,
% 1.90/1.87 (P4(x11201,f14(x11201),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(1123,plain,
% 1.90/1.87 (P4(x11231,f14(x11231),a1)),
% 1.90/1.87 inference(rename_variables,[],[139])).
% 1.90/1.87 cnf(1126,plain,
% 1.90/1.87 (~E(f14(x11261),x11261)),
% 1.90/1.87 inference(rename_variables,[],[206])).
% 1.90/1.87 cnf(1129,plain,
% 1.90/1.87 (~E(f14(x11291),x11291)),
% 1.90/1.87 inference(rename_variables,[],[206])).
% 1.90/1.87 cnf(1132,plain,
% 1.90/1.87 (~P4(x11321,x11321,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(1135,plain,
% 1.90/1.87 (~P4(x11351,x11351,a1)),
% 1.90/1.87 inference(rename_variables,[],[217])).
% 1.90/1.87 cnf(1138,plain,
% 1.90/1.87 (~E(f14(x11381),x11381)),
% 1.90/1.87 inference(rename_variables,[],[206])).
% 1.90/1.87 cnf(1141,plain,
% 1.90/1.87 (~E(f14(x11411),x11411)),
% 1.90/1.87 inference(rename_variables,[],[206])).
% 1.90/1.87 cnf(1203,plain,
% 1.90/1.87 (~P2(f14(x12031),x12031,a1)),
% 1.90/1.87 inference(rename_variables,[],[220])).
% 1.90/1.87 cnf(1206,plain,
% 1.90/1.87 (~P2(f14(x12061),x12061,a1)),
% 1.90/1.87 inference(rename_variables,[],[220])).
% 1.90/1.87 cnf(1281,plain,
% 1.90/1.87 (P2(x12811,x12811,a1)),
% 1.90/1.87 inference(rename_variables,[],[123])).
% 1.90/1.87 cnf(1378,plain,
% 1.90/1.87 (P2(x13781,f9(x13781,f9(x13781,x13781,a1),a1),a1)),
% 1.90/1.87 inference(rename_variables,[],[190])).
% 1.90/1.87 cnf(1398,plain,
% 1.90/1.87 ($false),
% 1.90/1.87 inference(scs_inference,[],[121,177,123,944,947,950,953,1055,1068,1088,1091,1095,1281,124,217,811,873,876,879,882,885,888,903,905,956,959,962,965,1015,1020,1038,1071,1075,1084,1132,1135,176,211,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,126,911,919,926,985,1012,1054,1081,219,992,1047,151,206,858,913,1026,1126,1129,1138,1141,139,829,852,855,935,938,941,989,1004,1029,1032,1058,1061,1072,1076,1085,1120,1123,220,820,823,846,891,968,971,997,1023,1203,1206,158,805,808,826,832,835,909,1094,159,162,915,163,799,1035,222,814,817,840,843,849,988,204,153,168,210,894,125,178,802,929,180,865,190,1044,1378,164,870,1053,165,1000,128,129,166,135,979,181,2,312,276,264,471,470,469,426,425,423,421,419,377,329,328,326,325,321,320,319,291,433,432,261,671,543,355,340,318,676,675,489,488,612,610,609,758,728,84,82,81,74,73,72,71,67,66,3,747,367,331,330,317,378,333,523,487,486,485,483,479,477,453,451,445,443,441,439,620,472,270,269,618,767,457,683,682,375,790,789,788,787,782,781,780,779,761,417,416,415,414,413,412,352,346,524,544,651,650,649,648,615,614,288,548,547,546,545,734,647,594,259,229,277,740,376,324,293,234,233,455,401,263,262,475,474,274,273,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,685,674,673,672,652,587,542,541,540,539,537,535,534,517,516,396,364,363,358,357,354,342,314,313,300,299,243,238,228,227,226,225,473,431,430,429,428,407,406,405,404,403,399,368,774,773,772,691,690,629,628,611,607,605,603,515,514,513,512,502,501,497,436,760,759,703,702,701,696,640,639,638,637,632,631,466,458,750,749,705,704,465,92,91,83,75,70,68,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,400,386,385,383,382,380,373,304,301,285,621]),
% 1.90/1.87 ['proof']).
% 1.90/1.87 % SZS output end Proof
% 1.90/1.87 % Total time :0.960000s
%------------------------------------------------------------------------------