TSTP Solution File: SWV884-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV884-1 : 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 : n025.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 21:35:39 EDT 2023
% Result : Unsatisfiable 2.91s 2.97s
% Output : CNFRefutation 2.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV884-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 03:42:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 2.86/2.91 %-------------------------------------------
% 2.86/2.91 % File :CSE---1.6
% 2.86/2.91 % Problem :theBenchmark
% 2.86/2.91 % Transform :cnf
% 2.86/2.91 % Format :tptp:raw
% 2.86/2.91 % Command :java -jar mcs_scs.jar %d %s
% 2.86/2.91
% 2.86/2.91 % Result :Theorem 1.970000s
% 2.86/2.91 % Output :CNFRefutation 1.970000s
% 2.86/2.91 %-------------------------------------------
% 2.86/2.91 %------------------------------------------------------------------------------
% 2.86/2.91 % File : SWV884-1 : TPTP v8.1.2. Released v4.1.0.
% 2.86/2.91 % Domain : Software Verification
% 2.86/2.91 % Problem : Hoare logic with procedures 383_1
% 2.86/2.91 % Version : Especial.
% 2.86/2.91 % English : Completeness is taken relative to completeness of the underlying
% 2.86/2.91 % logic. Two versions of completeness proof: nested single recursion
% 2.86/2.91 % and simultaneous recursion in call rule.
% 2.86/2.91
% 2.86/2.91 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 2.86/2.91 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 2.86/2.91 % Source : [Nip10]
% 2.86/2.91 % Names : Hoare-383_1 [Nip10]
% 2.86/2.91
% 2.86/2.91 % Status : Unsatisfiable
% 2.86/2.91 % Rating : 0.14 v8.1.0, 0.16 v7.5.0, 0.21 v7.4.0, 0.12 v7.3.0, 0.00 v7.0.0, 0.13 v6.3.0, 0.00 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.20 v5.5.0, 0.50 v5.4.0, 0.55 v5.3.0, 0.56 v5.2.0, 0.50 v5.1.0, 0.59 v5.0.0, 0.50 v4.1.0
% 2.86/2.91 % Syntax : Number of clauses : 1121 ( 227 unt; 143 nHn; 682 RR)
% 2.86/2.91 % Number of literals : 2738 ( 623 equ;1513 neg)
% 2.86/2.91 % Maximal clause size : 7 ( 2 avg)
% 2.86/2.91 % Maximal term depth : 7 ( 1 avg)
% 2.86/2.91 % Number of predicates : 67 ( 66 usr; 0 prp; 1-4 aty)
% 2.86/2.91 % Number of functors : 47 ( 47 usr; 9 con; 0-5 aty)
% 2.86/2.91 % Number of variables : 3332 ( 274 sgn)
% 2.86/2.91 % SPC : CNF_UNS_RFO_SEQ_NHN
% 2.86/2.91
% 2.86/2.91 % Comments :
% 2.86/2.91 %------------------------------------------------------------------------------
% 2.86/2.91 cnf(cls_dvd__mult__cancel2_1,axiom,
% 2.86/2.91 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 2.86/2.91 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),V_m,tc_nat),V_m,tc_nat) ) ).
% 2.86/2.91
% 2.86/2.91 cnf(cls_dvd__mult__cancel1_1,axiom,
% 2.86/2.91 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 2.86/2.91 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_m,tc_nat) ) ).
% 2.86/2.91
% 2.86/2.91 cnf(cls_less__Suc0_0,axiom,
% 2.86/2.91 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.86/2.91 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 2.86/2.91
% 2.86/2.91 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 2.86/2.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.86/2.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.86/2.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 2.86/2.91
% 2.86/2.91 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 2.86/2.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.86/2.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 2.86/2.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.86/2.91
% 2.86/2.91 cnf(cls_mult__le__cancel2_1,axiom,
% 2.86/2.91 ( 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)
% 2.86/2.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 2.86/2.91
% 2.86/2.91 cnf(cls_mult__le__cancel1_1,axiom,
% 2.86/2.91 ( 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)
% 2.86/2.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 2.86/2.91
% 2.86/2.91 cnf(cls_Diff__triv_0,axiom,
% 2.86/2.91 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.86/2.91 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 2.86/2.91
% 2.86/2.91 cnf(cls_class__semiring_Omul__c_0,axiom,
% 2.86/2.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.86/2.91 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 2.86/2.91
% 2.86/2.91 cnf(cls_nat__mult__commute_0,axiom,
% 2.86/2.91 c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ).
% 2.86/2.91
% 2.86/2.91 cnf(cls_double__eq__0__iff_1,axiom,
% 2.86/2.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.86/2.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.86/2.91
% 2.86/2.91 cnf(cls_add__is__0_2,axiom,
% 2.86/2.91 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) ).
% 2.86/2.91
% 2.86/2.91 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 2.86/2.91 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.86/2.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.86/2.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.86/2.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.86/2.91
% 2.86/2.91 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 2.86/2.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.86/2.92 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_mod__add__eq_0,axiom,
% 2.86/2.92 ( ~ class_Divides_Osemiring__div(T_a)
% 2.86/2.92 | 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) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_add__nonneg__nonneg_0,axiom,
% 2.86/2.92 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.86/2.92 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 2.86/2.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.86/2.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_finite__vimageI_0,axiom,
% 2.86/2.92 ( c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_b,T_a),T_b)
% 2.86/2.92 | ~ c_Fun_Oinj__on(V_h,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)
% 2.86/2.92 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_mult__eq__if_1,axiom,
% 2.86/2.92 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat),tc_nat)
% 2.86/2.92 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_order__less__trans_0,axiom,
% 2.86/2.92 ( ~ class_Orderings_Opreorder(T_a)
% 2.86/2.92 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.86/2.92 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 2.86/2.92 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_psubset__trans_0,axiom,
% 2.86/2.92 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.86/2.92 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.86/2.92 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_xt1_I10_J_0,axiom,
% 2.86/2.92 ( ~ class_Orderings_Oorder(T_a)
% 2.86/2.92 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.86/2.92 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 2.86/2.92 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 2.86/2.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_add__cancel__21_1,axiom,
% 2.86/2.92 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_nat__add__left__commute_0,axiom,
% 2.86/2.92 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) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_nat__add__assoc_0,axiom,
% 2.86/2.92 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) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 2.86/2.92 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 2.86/2.92 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 2.86/2.92 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 2.86/2.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 2.86/2.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 2.86/2.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 2.86/2.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_add__gr__0_0,axiom,
% 2.86/2.92 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 2.86/2.92 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 2.86/2.92 | ~ 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) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_gr__implies__not0_0,axiom,
% 2.86/2.92 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_not__less0_0,axiom,
% 2.86/2.92 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_dvd__1__left_0,axiom,
% 2.86/2.92 c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_k,tc_nat) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_add__cancel__21_0,axiom,
% 2.86/2.92 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_Diff__idemp_0,axiom,
% 2.86/2.92 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_mod__less__divisor_0,axiom,
% 2.86/2.92 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 2.86/2.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_add__inf__distrib__left_0,axiom,
% 2.86/2.92 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_add__inf__distrib__right_0,axiom,
% 2.86/2.92 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,axiom,
% 2.86/2.92 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,axiom,
% 2.86/2.92 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_dvd_Oless__trans_1,axiom,
% 2.86/2.92 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)
% 2.86/2.92 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 2.86/2.92 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 2.86/2.92 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 2.86/2.92 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_mod__add__left__eq_0,axiom,
% 2.86/2.92 ( ~ class_Divides_Osemiring__div(T_a)
% 2.86/2.92 | 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) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_mod__add__right__eq_0,axiom,
% 2.86/2.92 ( ~ class_Divides_Osemiring__div(T_a)
% 2.86/2.92 | 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) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_nat__mult__eq__1__iff_1,axiom,
% 2.86/2.92 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 2.86/2.92 | V_n = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_nat__mult__eq__1__iff_0,axiom,
% 2.86/2.92 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 2.86/2.92 | V_m = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_one__is__add_5,axiom,
% 2.86/2.92 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) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_add__strict__increasing2_0,axiom,
% 2.86/2.92 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.86/2.92 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.86/2.92 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.86/2.92 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 2.86/2.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_diff__add__0_0,axiom,
% 2.86/2.92 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) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_of__nat__1_0,axiom,
% 2.86/2.92 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 2.86/2.92 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_zero__neq__one_0,axiom,
% 2.86/2.92 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.86/2.92 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_nat__mult__eq__cancel1_0,axiom,
% 2.86/2.92 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 2.86/2.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 2.86/2.92 | V_m = V_n ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_one__is__add_3,axiom,
% 2.86/2.92 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 2.86/2.92 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.86/2.92 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 2.86/2.92 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.86/2.92 | ~ class_Int_Onumber__ring(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 2.86/2.92 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.86/2.92 | ~ class_Int_Onumber__ring(T_a)
% 2.86/2.92 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_natgb_Onoteq__reduce_1,axiom,
% 2.86/2.92 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) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_natgb_Oadd__mul__solve_1,axiom,
% 2.86/2.92 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) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_mod__0_0,axiom,
% 2.86/2.92 ( ~ class_Divides_Osemiring__div(T_a)
% 2.86/2.92 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_Suc__eq__plus1_0,axiom,
% 2.86/2.92 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_Suc__eq__plus1__left_0,axiom,
% 2.86/2.92 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_mod__mod__trivial_0,axiom,
% 2.86/2.92 ( ~ class_Divides_Osemiring__div(T_a)
% 2.86/2.92 | 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) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_add__is__1_4,axiom,
% 2.86/2.92 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)) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_dvd__triv__right_0,axiom,
% 2.86/2.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.86/2.92 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_dvd__triv__left_0,axiom,
% 2.86/2.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.86/2.92 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_dvdI_0,axiom,
% 2.86/2.92 ( ~ class_Ring__and__Field_Odvd(T_a)
% 2.86/2.92 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_add__strict__increasing_0,axiom,
% 2.86/2.92 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.86/2.92 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.86/2.92 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.86/2.92 | ~ c_lessequals(V_b,V_c,T_a)
% 2.86/2.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 2.86/2.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.86/2.92 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 2.86/2.92
% 2.86/2.92 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 2.86/2.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.86/2.93 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_mult__1__right_0,axiom,
% 2.86/2.93 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 2.86/2.93 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_mult__1__left_0,axiom,
% 2.86/2.93 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 2.86/2.93 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_mult__1_0,axiom,
% 2.86/2.93 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 2.86/2.93 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_nat__mult__1_0,axiom,
% 2.86/2.93 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) = V_n ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_nat__mult__1__right_0,axiom,
% 2.86/2.93 c_HOL_Otimes__class_Otimes(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_class__semiring_Omul__1_0,axiom,
% 2.86/2.93 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.86/2.93 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_psubset__insert__iff_1,axiom,
% 2.86/2.93 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 2.86/2.93 | ~ c_in(V_x,V_A,T_a)
% 2.86/2.93 | c_in(V_x,V_B,T_a)
% 2.86/2.93 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_psubset__insert__iff_4,axiom,
% 2.86/2.93 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.86/2.93 | ~ c_in(V_x,V_A,T_a)
% 2.86/2.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 2.86/2.93 | c_in(V_x,V_B,T_a) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_eq__add__iff1_1,axiom,
% 2.86/2.93 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.86/2.93 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_inj__on__diff_0,axiom,
% 2.86/2.93 ( c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
% 2.86/2.93 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_dvd__mult__cancel__right_2,axiom,
% 2.86/2.93 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.86/2.93 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.86/2.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_dvd__mult__cancel__left_2,axiom,
% 2.86/2.93 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.86/2.93 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.86/2.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_nat__mult__dvd__cancel__disj_2,axiom,
% 2.86/2.93 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 2.86/2.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_zmod__simps_I4_J_0,axiom,
% 2.86/2.93 ( ~ class_Divides_Osemiring__div(T_a)
% 2.86/2.93 | 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) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_mult__strict__mono_0,axiom,
% 2.86/2.93 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.86/2.93 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 2.86/2.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.86/2.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.86/2.93 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.86/2.93 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_vimage__Diff_0,axiom,
% 2.86/2.93 c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_psubset__insert__iff_8,axiom,
% 2.86/2.93 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.86/2.93 | ~ c_in(V_x,V_A,T_a)
% 2.86/2.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 2.86/2.93 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_eq__add__iff2_1,axiom,
% 2.86/2.93 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.86/2.93 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_nat__less__add__iff1_0,axiom,
% 2.86/2.93 ( 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)
% 2.86/2.93 | ~ 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)
% 2.86/2.93 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_nat__less__add__iff1_1,axiom,
% 2.86/2.93 ( 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)
% 2.86/2.93 | ~ 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)
% 2.86/2.93 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_nat__less__add__iff2_0,axiom,
% 2.86/2.93 ( 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)
% 2.86/2.93 | ~ 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)
% 2.86/2.93 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_nat__less__add__iff2_1,axiom,
% 2.86/2.93 ( 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)
% 2.86/2.93 | ~ 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)
% 2.86/2.93 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_eq__add__iff2_0,axiom,
% 2.86/2.93 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.86/2.93 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 2.86/2.93 | V_c = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_eq__add__iff1_0,axiom,
% 2.86/2.93 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.86/2.93 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 2.86/2.93 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) = V_d ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_less__add__Suc1_0,axiom,
% 2.86/2.93 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_less__add__Suc2_0,axiom,
% 2.86/2.93 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_less__iff__Suc__add_1,axiom,
% 2.86/2.93 c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_inj__vimage__image__eq_0,axiom,
% 2.86/2.93 ( c_Set_Ovimage(V_f,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b) = V_A
% 2.86/2.93 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_vimage__UNIV_0,axiom,
% 2.86/2.93 c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_Diff__insert_0,axiom,
% 2.86/2.93 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_Diff__insert2_0,axiom,
% 2.86/2.93 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_add__increasing_0,axiom,
% 2.86/2.93 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.86/2.93 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.86/2.93 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.86/2.93 | ~ c_lessequals(V_b,V_c,T_a)
% 2.86/2.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_add__increasing2_0,axiom,
% 2.86/2.93 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.86/2.93 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.86/2.93 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.86/2.93 | ~ c_lessequals(V_b,V_a,T_a)
% 2.86/2.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 2.86/2.93 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 2.86/2.93 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 2.86/2.93 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 2.86/2.93 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_add__lessD1_0,axiom,
% 2.86/2.93 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 2.86/2.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_trans__less__add1_0,axiom,
% 2.86/2.93 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 2.86/2.93 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 2.86/2.93
% 2.86/2.93 cnf(cls_trans__less__add2_0,axiom,
% 2.86/2.93 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 2.90/2.93 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 2.90/2.93
% 2.90/2.93 cnf(cls_dvd__mod__imp__dvd_0,axiom,
% 2.90/2.93 ( ~ class_Divides_Osemiring__div(T_a)
% 2.90/2.93 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 2.90/2.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 2.90/2.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ).
% 2.90/2.93
% 2.90/2.93 cnf(cls_dvd__mod__iff_1,axiom,
% 2.90/2.93 ( ~ class_Divides_Osemiring__div(T_a)
% 2.90/2.93 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 2.90/2.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 2.90/2.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 2.90/2.93
% 2.90/2.93 cnf(cls_dvd__mod__iff_0,axiom,
% 2.90/2.93 ( ~ class_Divides_Osemiring__div(T_a)
% 2.90/2.93 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 2.90/2.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 2.90/2.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 2.90/2.93
% 2.90/2.93 cnf(cls_dvd__mod_0,axiom,
% 2.90/2.93 ( ~ class_Divides_Osemiring__div(T_a)
% 2.90/2.93 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 2.90/2.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 2.90/2.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ).
% 2.90/2.93
% 2.90/2.93 cnf(cls_Suc__times__mod__eq_0,axiom,
% 2.90/2.93 ( c_Divides_Odiv__class_Omod(c_Suc(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat)),V_k,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 2.90/2.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),V_k,tc_nat) ) ).
% 2.90/2.93
% 2.90/2.93 cnf(cls_nat__1__eq__mult__iff_2,axiom,
% 2.90/2.93 c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 2.90/2.93
% 2.90/2.93 cnf(cls_inv__into__f__f_0,axiom,
% 2.90/2.93 ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x
% 2.90/2.93 | ~ c_in(V_x,V_A,T_a)
% 2.90/2.93 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.90/2.93
% 2.90/2.93 cnf(cls_inv__into__f__eq_0,axiom,
% 2.90/2.93 ( ~ c_in(V_x,V_A,T_aa)
% 2.90/2.93 | ~ c_Fun_Oinj__on(V_f,V_A,T_aa,T_a)
% 2.90/2.93 | hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x ) ).
% 2.90/2.93
% 2.90/2.93 cnf(cls_sum__squares__ge__zero_0,axiom,
% 2.90/2.93 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.90/2.93 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) ) ).
% 2.90/2.93
% 2.90/2.93 cnf(cls_mod__by__0_0,axiom,
% 2.90/2.93 ( ~ class_Divides_Osemiring__div(T_a)
% 2.90/2.93 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.90/2.93
% 2.90/2.93 cnf(cls_mod__self_0,axiom,
% 2.90/2.93 ( ~ class_Divides_Osemiring__div(T_a)
% 2.90/2.93 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.90/2.93
% 2.90/2.93 cnf(cls_inf__bot__right_0,axiom,
% 2.90/2.93 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.90/2.93 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.90/2.93
% 2.90/2.93 cnf(cls_inf__bot__left_0,axiom,
% 2.90/2.93 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.90/2.93 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.90/2.93
% 2.90/2.93 cnf(cls_Int__empty__left_0,axiom,
% 2.90/2.93 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.90/2.93
% 2.91/2.93 cnf(cls_Int__empty__right_0,axiom,
% 2.91/2.93 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 2.91/2.93 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.93 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 2.91/2.93 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.91/2.93 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_nat__add__commute_0,axiom,
% 2.91/2.93 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_less__add__eq__less_0,axiom,
% 2.91/2.93 ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 2.91/2.93 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 2.91/2.93 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 2.91/2.93 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.93 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_mult__eq__1__iff_0,axiom,
% 2.91/2.93 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.91/2.93 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_mult__eq__1__iff_1,axiom,
% 2.91/2.93 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.91/2.93 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_mod__le__divisor_0,axiom,
% 2.91/2.93 ( c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 2.91/2.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_card__Suc__eq_3,axiom,
% 2.91/2.93 ( c_Finite__Set_Ocard(V_A,T_a) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.91/2.93 | c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(V_A,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_of__nat__eq__iff_0,axiom,
% 2.91/2.93 ( ~ class_Nat_Osemiring__char__0(T_a)
% 2.91/2.93 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 2.91/2.93 | V_m = V_n ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 2.91/2.93 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.91/2.93 | ~ class_Int_Onumber__ring(T_a)
% 2.91/2.93 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 2.91/2.93 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_add__eq__self__zero_0,axiom,
% 2.91/2.93 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m
% 2.91/2.93 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 2.91/2.93 ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat)
% 2.91/2.93 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_image__Int_0,axiom,
% 2.91/2.93 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.91/2.93 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_mult__less__imp__less__right_0,axiom,
% 2.91/2.93 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.91/2.93 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_mult__less__imp__less__left_0,axiom,
% 2.91/2.93 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.91/2.93 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_mult__right__less__imp__less_0,axiom,
% 2.91/2.93 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 2.91/2.93 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_mult__left__less__imp__less_0,axiom,
% 2.91/2.93 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 2.91/2.93 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_mod__mult__eq_0,axiom,
% 2.91/2.93 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.93 | 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) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_nat__mult__eq__cancel__disj_0,axiom,
% 2.91/2.93 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 2.91/2.93 | V_m = V_n
% 2.91/2.93 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_mult__cancel1_0,axiom,
% 2.91/2.93 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 2.91/2.93 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.93 | V_m = V_n ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_mult__cancel2_0,axiom,
% 2.91/2.93 ( c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat) != c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat)
% 2.91/2.93 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.93 | V_m = V_n ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 2.91/2.93 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.93 | c_HOL_Oplus__class_Oplus(V_m,V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_Diff__empty_0,axiom,
% 2.91/2.93 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_Diff__cancel_0,axiom,
% 2.91/2.93 c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 2.91/2.93 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.91/2.93 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.91/2.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.91/2.93 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 2.91/2.93 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.91/2.93 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.91/2.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.91/2.93 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_add__is__0_0,axiom,
% 2.91/2.93 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.93 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_add__is__0_1,axiom,
% 2.91/2.93 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.93 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_double__eq__0__iff_0,axiom,
% 2.91/2.93 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.91/2.93 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.93 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_One__nat__def_0,axiom,
% 2.91/2.93 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_less__add__iff2_1,axiom,
% 2.91/2.93 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.91/2.93 | 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)
% 2.91/2.93 | ~ 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) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_one__is__add_0,axiom,
% 2.91/2.93 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 2.91/2.93 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.93 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_Max__singleton_0,axiom,
% 2.91/2.93 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.93 | c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_mult__less__cancel2_0,axiom,
% 2.91/2.93 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 2.91/2.93 | ~ 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) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_mult__less__cancel1_0,axiom,
% 2.91/2.93 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 2.91/2.93 | ~ 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) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_of__nat__Suc_0,axiom,
% 2.91/2.93 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 2.91/2.93 | c_Nat_Osemiring__1__class_Oof__nat(c_Suc(V_m),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_mult__le__cancel2_0,axiom,
% 2.91/2.93 ( c_lessequals(V_m,V_n,tc_nat)
% 2.91/2.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 2.91/2.93 | ~ 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) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_mult__le__cancel1_0,axiom,
% 2.91/2.93 ( c_lessequals(V_m,V_n,tc_nat)
% 2.91/2.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 2.91/2.93 | ~ 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) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_nat__mult__le__cancel1_0,axiom,
% 2.91/2.93 ( c_lessequals(V_m,V_n,tc_nat)
% 2.91/2.93 | ~ 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)
% 2.91/2.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 2.91/2.93
% 2.91/2.93 cnf(cls_nat__mult__le__cancel1_1,axiom,
% 2.91/2.93 ( 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)
% 2.91/2.93 | ~ c_lessequals(V_m,V_n,tc_nat)
% 2.91/2.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 2.91/2.93
% 2.91/2.94 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_lessequals(V_b,V_a,T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(V_b,V_a,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_lessequals(V_a,V_b,T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(V_a,V_b,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__left__le__imp__le_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.91/2.94 | c_lessequals(V_a,V_b,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__right__le__imp__le_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.91/2.94 | c_lessequals(V_a,V_b,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_one__less__mult_0,axiom,
% 2.91/2.94 ( 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)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_inj__on__empty_0,axiom,
% 2.91/2.94 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_zero__less__Suc_0,axiom,
% 2.91/2.94 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_gr0__conv__Suc_1,axiom,
% 2.91/2.94 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_Int__commute_0,axiom,
% 2.91/2.94 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_inf__commute_0,axiom,
% 2.91/2.94 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.94 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 2.91/2.94 ( ~ class_Lattices_Olattice(T_a)
% 2.91/2.94 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_left__add__mult__distrib_0,axiom,
% 2.91/2.94 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) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_combine__common__factor_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 2.91/2.94 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_of__nat__0_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 2.91/2.94 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_insert__Diff__single_0,axiom,
% 2.91/2.94 c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_nat__0__less__mult__iff_1,axiom,
% 2.91/2.94 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 2.91/2.94 | ~ 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) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_nat__0__less__mult__iff_0,axiom,
% 2.91/2.94 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 2.91/2.94 | ~ 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) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_add__neg__neg_0,axiom,
% 2.91/2.94 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_dvd__0__left_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.94 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_dvd__imp__mod__0_0,axiom,
% 2.91/2.94 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.94 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_dvd__eq__mod__eq__0_1,axiom,
% 2.91/2.94 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.94 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.94 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_add__nonneg__pos_0,axiom,
% 2.91/2.94 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_add__pos__nonneg_0,axiom,
% 2.91/2.94 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__le__0__iff_4,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__le__0__iff_5,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.94 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_split__mult__neg__le_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.91/2.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_split__mult__neg__le_1,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.91/2.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.94 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.91/2.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.91/2.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.94 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.91/2.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_not__square__less__zero_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_image__set__diff_0,axiom,
% 2.91/2.94 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.91/2.94 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_Suc__mult__less__cancel1_1,axiom,
% 2.91/2.94 ( 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)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_Suc__mult__less__cancel1_0,axiom,
% 2.91/2.94 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.94 | ~ 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) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_nat__dvd__1__iff__1_1,axiom,
% 2.91/2.94 c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 2.91/2.94 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat)
% 2.91/2.94 | V_y = V_z ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_nat__add__right__cancel_0,axiom,
% 2.91/2.94 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat)
% 2.91/2.94 | V_m = V_n ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_nat__add__left__cancel_0,axiom,
% 2.91/2.94 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 2.91/2.94 | V_m = V_n ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.91/2.94 | ~ class_Int_Onumber__ring(T_a)
% 2.91/2.94 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 2.91/2.94 | V_y = V_z ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_add__imp__eq_0,axiom,
% 2.91/2.94 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 2.91/2.94 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 2.91/2.94 | V_b = V_c ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_add__left__cancel_0,axiom,
% 2.91/2.94 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 2.91/2.94 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 2.91/2.94 | V_b = V_c ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_add__right__cancel_0,axiom,
% 2.91/2.94 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 2.91/2.94 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 2.91/2.94 | V_b = V_c ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__right__le__one__le_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.91/2.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)
% 2.91/2.94 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__left__le__one__le_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.91/2.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)
% 2.91/2.94 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.91/2.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mod__Suc_0,axiom,
% 2.91/2.94 ( c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) != V_n
% 2.91/2.94 | c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mod__mult__left__eq_0,axiom,
% 2.91/2.94 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.94 | 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) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mod__mult__right__eq_0,axiom,
% 2.91/2.94 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.94 | 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) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_add__is__1_3,axiom,
% 2.91/2.94 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.91/2.94 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.91/2.94 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_add__is__1_0,axiom,
% 2.91/2.94 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.91/2.94 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.94 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 2.91/2.94 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 2.91/2.94 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.94 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_psubset__insert__iff_9,axiom,
% 2.91/2.94 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.94 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_of__nat__less__0__iff_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_dvd__add_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.94 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 2.91/2.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 2.91/2.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_inv__image__comp_0,axiom,
% 2.91/2.94 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_X,T_a,T_b),T_b,T_a) = V_X
% 2.91/2.94 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_image__inv__f__f_0,axiom,
% 2.91/2.94 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a) = V_A
% 2.91/2.94 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_Diff__disjoint_0,axiom,
% 2.91/2.94 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_dvd__1__iff__1_0,axiom,
% 2.91/2.94 ( V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.91/2.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_nat__mult__eq__1__iff_2,axiom,
% 2.91/2.94 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_card__gt__0__iff_0,axiom,
% 2.91/2.94 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_nat) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_full__nat__induct_1,axiom,
% 2.91/2.94 ( hBOOL(hAPP(V_P,V_n))
% 2.91/2.94 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xfull__nat__induct__1__1(V_P))) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mod__mult__distrib2_0,axiom,
% 2.91/2.94 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) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mod__mult__distrib_0,axiom,
% 2.91/2.94 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) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__cancel2_2,axiom,
% 2.91/2.94 ( 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)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__cancel1_2,axiom,
% 2.91/2.94 ( 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)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__mono2_0,axiom,
% 2.91/2.94 ( 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)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__mono1_0,axiom,
% 2.91/2.94 ( 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)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_nat__mult__less__cancel1_0,axiom,
% 2.91/2.94 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.94 | ~ 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)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_nat__mult__less__cancel1_1,axiom,
% 2.91/2.94 ( 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)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__strict__left__mono_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__strict__right__mono_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_less__add__iff2_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.91/2.94 | 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)
% 2.91/2.94 | ~ 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) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_less__add__iff1_1,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.91/2.94 | 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)
% 2.91/2.94 | ~ 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) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_less__add__iff1_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.91/2.94 | 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)
% 2.91/2.94 | ~ 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) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_card__eq__SucD_3,axiom,
% 2.91/2.94 ( c_Finite__Set_Ocard(V_A,T_a) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.91/2.94 | c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(V_A,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__eq__0__iff_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.91/2.94 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.94 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.94 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_no__zero__divisors_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.91/2.94 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.94 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.94 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.91/2.94 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.94 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.94 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__is__0_0,axiom,
% 2.91/2.94 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.94 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.94 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_fun__upd__twist_0,axiom,
% 2.91/2.94 ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b)
% 2.91/2.94 | V_a = V_c ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_not__psubset__empty_0,axiom,
% 2.91/2.94 ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mod__add__cong_0,axiom,
% 2.91/2.94 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.94 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 2.91/2.94 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 2.91/2.94 | 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) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_less__Suc0_1,axiom,
% 2.91/2.94 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 2.91/2.94 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 2.91/2.94 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_even__less__0__iff_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_even__less__0__iff_1,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_one__is__add_1,axiom,
% 2.91/2.94 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 2.91/2.94 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.91/2.94 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_one__is__add_2,axiom,
% 2.91/2.94 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 2.91/2.94 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.94 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_zero__less__mult__pos2_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_zero__less__mult__pos_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__pos__pos_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__neg__neg_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_nat__0__less__mult__iff_2,axiom,
% 2.91/2.94 ( 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)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_injD_0,axiom,
% 2.91/2.94 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.91/2.94 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 2.91/2.94 | V_x = V_y ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__Suc__right_0,axiom,
% 2.91/2.94 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) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__Suc_0,axiom,
% 2.91/2.94 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) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_not__one__less__zero_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 2.91/2.94 ( ~ class_Lattices_Olattice(T_a)
% 2.91/2.94 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 2.91/2.94 ( ~ class_Lattices_Olattice(T_a)
% 2.91/2.94 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_inf__left__commute_0,axiom,
% 2.91/2.94 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.94 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_inf__assoc_0,axiom,
% 2.91/2.94 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.94 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_Int__assoc_0,axiom,
% 2.91/2.94 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_Int__left__commute_0,axiom,
% 2.91/2.94 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_one__neq__zero_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.91/2.94 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_finite__UNIV__card__ge__0_0,axiom,
% 2.91/2.94 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a),tc_nat)
% 2.91/2.94 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_dvd__1__iff__1_1,axiom,
% 2.91/2.94 c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_of__nat__mult_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 2.91/2.94 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mod__mult__self4_0,axiom,
% 2.91/2.94 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) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.91/2.94 | ~ class_Int_Onumber__ring(T_a)
% 2.91/2.94 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)
% 2.91/2.94 | V_y = V_z
% 2.91/2.94 | V_w = V_x ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.91/2.94 | ~ class_Int_Onumber__ring(T_a)
% 2.91/2.94 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.91/2.94 | V_c = V_d
% 2.91/2.94 | V_a = V_b ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_natgb_Onoteq__reduce_0,axiom,
% 2.91/2.94 ( 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)
% 2.91/2.94 | V_c = V_d
% 2.91/2.94 | V_a = V_b ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_natgb_Oadd__mul__solve_0,axiom,
% 2.91/2.94 ( 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)
% 2.91/2.94 | V_y = V_z
% 2.91/2.94 | V_w = V_x ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_Min__singleton_0,axiom,
% 2.91/2.94 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.94 | c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_empty__Diff_0,axiom,
% 2.91/2.94 c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_inj__image__eq__iff_0,axiom,
% 2.91/2.94 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 2.91/2.94 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 2.91/2.94 | V_A = V_B ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_add__nonpos__neg_0,axiom,
% 2.91/2.94 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_add__neg__nonpos_0,axiom,
% 2.91/2.94 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.91/2.94 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.94 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__eq__self__implies__10_0,axiom,
% 2.91/2.94 ( V_m != c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)
% 2.91/2.94 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.94 | V_n = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.94 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_inf__eq__top__eq2_0,axiom,
% 2.91/2.94 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.91/2.94 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 2.91/2.94 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_inf__eq__top__eq1_0,axiom,
% 2.91/2.94 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.91/2.94 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 2.91/2.94 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mod__mult__cong_0,axiom,
% 2.91/2.94 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.94 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 2.91/2.94 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 2.91/2.94 | 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) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_dvd__0__right_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.94 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_mult__eq__1__iff_2,axiom,
% 2.91/2.94 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)) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.94 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ).
% 2.91/2.94
% 2.91/2.94 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 2.91/2.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_zero__le__one_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__eq__0__iff_2,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.91/2.95 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__eq__0__iff_1,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.91/2.95 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__zero__right_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.91/2.95 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__zero__left_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.91/2.95 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__is__0_1,axiom,
% 2.91/2.95 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__is__0_2,axiom,
% 2.91/2.95 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_class__semiring_Omul__0_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_bot1E_0,axiom,
% 2.91/2.95 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Diff__Int__distrib_0,axiom,
% 2.91/2.95 c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Diff__Int__distrib2_0,axiom,
% 2.91/2.95 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mod__1_0,axiom,
% 2.91/2.95 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) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_UNIV__not__empty_0,axiom,
% 2.91/2.95 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__eq__if_1,axiom,
% 2.91/2.95 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat))
% 2.91/2.95 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inc__induct_0,axiom,
% 2.91/2.95 ( hBOOL(hAPP(V_P,V_i))
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_ATP__Linkup_Osko__Nat__Xinc__induct__1__1(V_P,V_j),V_j,tc_nat)
% 2.91/2.95 | ~ hBOOL(hAPP(V_P,V_j))
% 2.91/2.95 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_fun__upd__upd_0,axiom,
% 2.91/2.95 c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b) = c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 2.91/2.95 ( ~ c_in(V_x,V_B,T_a)
% 2.91/2.95 | ~ c_in(V_x,V_A,T_a)
% 2.91/2.95 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mod__by__1_0,axiom,
% 2.91/2.95 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.95 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inf__top__right_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.91/2.95 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = V_x ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inf__top__left_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.91/2.95 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = V_x ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Int__UNIV__left_0,axiom,
% 2.91/2.95 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Int__UNIV__right_0,axiom,
% 2.91/2.95 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_image__vimage__eq_0,axiom,
% 2.91/2.95 c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd__reduce_0,axiom,
% 2.91/2.95 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd__reduce_1,axiom,
% 2.91/2.95 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Diff__Int2_0,axiom,
% 2.91/2.95 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mod__if_0,axiom,
% 2.91/2.95 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = V_m
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_one__is__add_4,axiom,
% 2.91/2.95 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) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_psubset__eq_1,axiom,
% 2.91/2.95 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_nat__less__le_1,axiom,
% 2.91/2.95 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_less__not__refl_0,axiom,
% 2.91/2.95 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_order__less__le_1,axiom,
% 2.91/2.95 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_linorder__neq__iff_1,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_order__less__irrefl_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Opreorder(T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_top1I_0,axiom,
% 2.91/2.95 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__pos__pos_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_not__one__le__zero_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.91/2.95 | V_x = V_y ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_card__empty_0,axiom,
% 2.91/2.95 c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_card__gt__0__iff_2,axiom,
% 2.91/2.95 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(V_A,T_a),tc_nat)
% 2.91/2.95 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.91/2.95 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__mono_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.95 | ~ c_lessequals(V_c,V_d,T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__mono_H_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.91/2.95 | ~ c_lessequals(V_c,V_d,T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_zero__less__two_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inf1E_1,axiom,
% 2.91/2.95 ( hBOOL(hAPP(V_B,V_x))
% 2.91/2.95 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inf1E_0,axiom,
% 2.91/2.95 ( hBOOL(hAPP(V_A,V_x))
% 2.91/2.95 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mod__mult__self3_0,axiom,
% 2.91/2.95 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) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mod__mult__self1_0,axiom,
% 2.91/2.95 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.95 | 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) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mod__mult__self2_0,axiom,
% 2.91/2.95 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.95 | 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) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_fun__upd__idem__iff_0,axiom,
% 2.91/2.95 ( c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b) != V_f
% 2.91/2.95 | hAPP(V_f,V_x) = V_y ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_m,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_nat__mult__dvd__cancel__disj_0,axiom,
% 2.91/2.95 ( c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 2.91/2.95 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd__mult__cancel__left_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 2.91/2.95 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd__mult__cancel__right_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 2.91/2.95 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_of__nat__0__le__iff_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_zero__le__imp__of__nat_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_vimage__subsetI_0,axiom,
% 2.91/2.95 ( c_lessequals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool))
% 2.91/2.95 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.91/2.95 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.91/2.95 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 2.91/2.95 V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 2.91/2.95 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 2.91/2.95 c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.91/2.95 | ~ class_Int_Onumber__ring(T_a)
% 2.91/2.95 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.91/2.95 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__0__left_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 2.91/2.95 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 2.91/2.95 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_zero__le__mult__iff_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.95 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_zero__le__mult__iff_1,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.95 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_zero__le__mult__iff_2,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.95 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_zero__le__mult__iff_3,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.95 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_less__1__mult_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_m,V_n,T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_split__mod_1,axiom,
% 2.91/2.95 ( ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 2.91/2.95 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.95 | ~ hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),V_j,tc_nat),V_k,tc_nat)))
% 2.91/2.95 | hBOOL(hAPP(V_P,V_j)) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__le__less__mono_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__less__le__mono_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_c,V_d,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_vimage__Int_0,axiom,
% 2.91/2.95 c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__gr__0_2,axiom,
% 2.91/2.95 ( 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)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__gr__0_1,axiom,
% 2.91/2.95 ( 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)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd_Oless__le__trans_1,axiom,
% 2.91/2.95 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd_Ole__less__trans_1,axiom,
% 2.91/2.95 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Int__iff_2,axiom,
% 2.91/2.95 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.95 | ~ c_in(V_c,V_B,T_a)
% 2.91/2.95 | ~ c_in(V_c,V_A,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_IntI_0,axiom,
% 2.91/2.95 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.95 | ~ c_in(V_c,V_B,T_a)
% 2.91/2.95 | ~ c_in(V_c,V_A,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_ex__in__conv_0,axiom,
% 2.91/2.95 ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_ball__empty_0,axiom,
% 2.91/2.95 ( hBOOL(hAPP(V_P,V_x))
% 2.91/2.95 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_empty__iff_0,axiom,
% 2.91/2.95 ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_emptyE_0,axiom,
% 2.91/2.95 ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_UNIV__I_0,axiom,
% 2.91/2.95 c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_DiffE_1,axiom,
% 2.91/2.95 ( ~ c_in(V_c,V_B,T_a)
% 2.91/2.95 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_DiffE_0,axiom,
% 2.91/2.95 ( c_in(V_c,V_A,T_a)
% 2.91/2.95 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_psubsetD_0,axiom,
% 2.91/2.95 ( c_in(V_c,V_B,T_a)
% 2.91/2.95 | ~ c_in(V_c,V_A,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_IntE_1,axiom,
% 2.91/2.95 ( c_in(V_c,V_B,T_a)
% 2.91/2.95 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_IntE_0,axiom,
% 2.91/2.95 ( c_in(V_c,V_A,T_a)
% 2.91/2.95 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inj__on__contraD_0,axiom,
% 2.91/2.95 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.91/2.95 | ~ c_in(V_y,V_A,T_a)
% 2.91/2.95 | ~ c_in(V_x,V_A,T_a)
% 2.91/2.95 | V_x = V_y
% 2.91/2.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inj__on__iff_0,axiom,
% 2.91/2.95 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.91/2.95 | ~ c_in(V_y,V_A,T_a)
% 2.91/2.95 | ~ c_in(V_x,V_A,T_a)
% 2.91/2.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.91/2.95 | V_x = V_y ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inj__on__def_0,axiom,
% 2.91/2.95 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 2.91/2.95 | ~ c_in(V_xa,V_A,T_a)
% 2.91/2.95 | ~ c_in(V_x,V_A,T_a)
% 2.91/2.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.91/2.95 | V_x = V_xa ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inj__onD_0,axiom,
% 2.91/2.95 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.91/2.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.91/2.95 | V_x = V_y
% 2.91/2.95 | ~ c_in(V_y,V_A,T_a)
% 2.91/2.95 | ~ c_in(V_x,V_A,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_bex__empty_0,axiom,
% 2.91/2.95 ( ~ hBOOL(hAPP(V_P,V_x))
% 2.91/2.95 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Diff__iff_2,axiom,
% 2.91/2.95 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.95 | c_in(V_c,V_B,T_a)
% 2.91/2.95 | ~ c_in(V_c,V_A,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_DiffI_0,axiom,
% 2.91/2.95 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.95 | c_in(V_c,V_B,T_a)
% 2.91/2.95 | ~ c_in(V_c,V_A,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_vimage__eq_1,axiom,
% 2.91/2.95 ( c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)
% 2.91/2.95 | ~ c_in(hAPP(V_f,V_a),V_B,T_b) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_vimageI2_0,axiom,
% 2.91/2.95 ( c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b)
% 2.91/2.95 | ~ c_in(hAPP(V_f,V_a),V_A,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_vimageI_0,axiom,
% 2.91/2.95 ( c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b)
% 2.91/2.95 | ~ c_in(hAPP(V_f,V_a),V_B,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_vimageE_0,axiom,
% 2.91/2.95 ( c_in(hAPP(V_f,V_a),V_B,T_b)
% 2.91/2.95 | ~ c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_vimageD_0,axiom,
% 2.91/2.95 ( c_in(hAPP(V_f,V_a),V_A,T_b)
% 2.91/2.95 | ~ c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_linorder__antisym__conv2_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | V_x = V_y
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_linorder__antisym__conv1_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | V_x = V_y
% 2.91/2.95 | ~ c_lessequals(V_x,V_y,T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_order__neq__le__trans_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,V_b,T_a)
% 2.91/2.95 | V_a = V_b ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_order__le__neq__trans_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.95 | V_a = V_b
% 2.91/2.95 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_order__less__le_2,axiom,
% 2.91/2.95 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.91/2.95 | V_x = V_y
% 2.91/2.95 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_order__le__less_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.95 | V_x = V_y
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_xt1_I12_J_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.91/2.95 | ~ c_lessequals(V_b,V_a,T_a)
% 2.91/2.95 | V_a = V_b ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_xt1_I11_J_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.91/2.95 | V_a = V_b
% 2.91/2.95 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_le__add__right__mono_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.91/2.95 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_c,V_d,T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_order__less__le__trans_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Opreorder(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.91/2.95 | ~ c_lessequals(V_y,V_z,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_order__le__less__trans_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Opreorder(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_xt1_I8_J_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 2.91/2.95 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_xt1_I7_J_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.91/2.95 | ~ c_lessequals(V_z,V_y,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_gfp__upperbound_0,axiom,
% 2.91/2.95 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.91/2.95 | c_lessequals(V_X,c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_X,hAPP(V_f,V_X),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_top__greatest_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Otop(T_a)
% 2.91/2.95 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inf__le1_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inf__le2_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_le__infI_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,V_b,T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_le__inf__iff_2,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,V_z,T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inf__greatest_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,V_z,T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olattice(T_a)
% 2.91/2.95 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olattice(T_a)
% 2.91/2.95 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__left__mono_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__right__mono_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__le__cancel__left_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.91/2.95 | c_lessequals(V_a,V_b,T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__le__cancel__left_1,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__le__cancel__right_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.91/2.95 | c_lessequals(V_a,V_b,T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__le__cancel__right_1,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_order__less__imp__le_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Opreorder(T_a)
% 2.91/2.95 | c_lessequals(V_x,V_y,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_order__le__less_1,axiom,
% 2.91/2.95 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.95 | c_lessequals(V_x,V_y,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_less__le__not__le_2,axiom,
% 2.91/2.95 ( ~ class_Orderings_Opreorder(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.91/2.95 | c_lessequals(V_y,V_x,T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | V_x = V_y
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd_Oeq__iff_2,axiom,
% 2.91/2.95 ( V_x = V_y
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd_Oantisym_0,axiom,
% 2.91/2.95 ( V_x = V_y
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd_Oless__le_0,axiom,
% 2.91/2.95 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 2.91/2.95 | V_x = V_y
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd__antisym_0,axiom,
% 2.91/2.95 ( V_m = V_n
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_n,V_m,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_nat__neq__iff_0,axiom,
% 2.91/2.95 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.95 | V_m = V_n ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_nat__less__cases_0,axiom,
% 2.91/2.95 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 2.91/2.95 | V_m = V_n
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd_Oantisym__conv_0,axiom,
% 2.91/2.95 ( V_x = V_y
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd_Ole__neq__trans_0,axiom,
% 2.91/2.95 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_a,tc_nat)
% 2.91/2.95 | V_a = V_b
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd_Oneq__le__trans_0,axiom,
% 2.91/2.95 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_a,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat)
% 2.91/2.95 | V_a = V_b ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_linorder__neqE__nat_0,axiom,
% 2.91/2.95 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 2.91/2.95 | V_x = V_y ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_linorder__neqE_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.91/2.95 | V_x = V_y ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_linorder__less__linear_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.91/2.95 | V_x = V_y
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_linorder__antisym__conv3_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | V_x = V_y
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_nat__dvd__not__less_0,axiom,
% 2.91/2.95 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_n,V_m,tc_nat)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Suc__diff__1_0,axiom,
% 2.91/2.95 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = V_n
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Suc__pred_H_0,axiom,
% 2.91/2.95 ( V_n = c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__strict__mono_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__less__mono_0,axiom,
% 2.91/2.95 ( 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)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_less__infI2_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_less__infI1_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd__trans_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd__refl_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd_Oeq__iff_0,axiom,
% 2.91/2.95 c_Ring__and__Field_Odvd__class_Odvd(V_x,V_x,tc_nat) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd_Oless__trans_0,axiom,
% 2.91/2.95 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd_Oorder__trans_0,axiom,
% 2.91/2.95 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_less__iff__diff__less__0_1,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.95 | ~ 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) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_less__iff__diff__less__0_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.91/2.95 | 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)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_of__nat__less__iff_1,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_of__nat__less__iff_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd__mult__cancel__right_1,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd__mult__cancel__left_1,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_nat__mult__dvd__cancel__disj_1,axiom,
% 2.91/2.95 c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat),tc_nat) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_zero__less__one_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_atLeast__eq__iff_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | c_SetInterval_Oord__class_OatLeast(V_x,T_a) != c_SetInterval_Oord__class_OatLeast(V_y,T_a)
% 2.91/2.95 | V_x = V_y ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__less__cancel1_1,axiom,
% 2.91/2.95 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.95 | ~ 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) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__less__cancel2_1,axiom,
% 2.91/2.95 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.95 | ~ 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) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_fun__upd__idem_0,axiom,
% 2.91/2.95 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_fun__upd__same_0,axiom,
% 2.91/2.95 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_fun__upd__triv_0,axiom,
% 2.91/2.95 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_fun__upd__apply_0,axiom,
% 2.91/2.95 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_fun__upd__idem__iff_1,axiom,
% 2.91/2.95 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_nat__mult__dvd__cancel1_1,axiom,
% 2.91/2.95 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_nat__mult__dvd__cancel1_0,axiom,
% 2.91/2.95 ( c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd__mult__cancel_0,axiom,
% 2.91/2.95 ( c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_less__add__one_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__left__idem_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 2.91/2.95 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_nat__mod__eq__iff_1,axiom,
% 2.91/2.95 ( 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)
% 2.91/2.95 | c_Divides_Odiv__class_Omod(V_x,V_n,tc_nat) = c_Divides_Odiv__class_Omod(V_y,V_n,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_of__nat__0__less__iff_1,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_of__nat__0__less__iff_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__less__le__imp__less_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.91/2.95 | ~ c_lessequals(V_c,V_d,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__le__less__imp__less_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_one__dvd_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Diff__UNIV_0,axiom,
% 2.91/2.95 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_gr0I_0,axiom,
% 2.91/2.95 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 2.91/2.95 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_neq0__conv_1,axiom,
% 2.91/2.95 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mod__add__self2_0,axiom,
% 2.91/2.95 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.95 | 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) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mod__add__self1_0,axiom,
% 2.91/2.95 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.95 | 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) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__le__0__iff_3,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.95 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__le__0__iff_2,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.95 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__le__0__iff_1,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__le__0__iff_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.95 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__pos__neg2_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__pos__neg_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__neg__pos_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_n__less__m__mult__n_0,axiom,
% 2.91/2.95 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_n__less__n__mult__m_0,axiom,
% 2.91/2.95 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),tc_nat)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd__mult__right_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd__mult__left_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd__mult2_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd__mult_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_pos__add__strict_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olattice(T_a)
% 2.91/2.95 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inf__left__idem_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Int__left__absorb_0,axiom,
% 2.91/2.95 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mod__mod__cancel_0,axiom,
% 2.91/2.95 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.95 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(V_a,V_c,T_a)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.91/2.95 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__cancel1_1,axiom,
% 2.91/2.95 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) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__cancel2_1,axiom,
% 2.91/2.95 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) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_not__add__less1_0,axiom,
% 2.91/2.95 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_not__add__less2_0,axiom,
% 2.91/2.95 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__dvd__mono_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mod__lemma_0,axiom,
% 2.91/2.95 ( 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)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_r,V_b,tc_nat)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_c,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__right__mono__neg_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__left__mono__neg_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__right__mono_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__left__mono_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mult__mono1_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mod__if_1,axiom,
% 2.91/2.95 ( 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)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.91/2.95 | ~ class_Int_Onumber__ring(T_a)
% 2.91/2.95 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a)
% 2.91/2.95 | V_c = V_d
% 2.91/2.95 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom,
% 2.91/2.95 ( 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)
% 2.91/2.95 | V_c = V_d
% 2.91/2.95 | V_r = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.95 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.95 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.95 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.95 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_less__diff__conv_0,axiom,
% 2.91/2.95 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_less__diff__conv_1,axiom,
% 2.91/2.95 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inf__idem_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Int__absorb_0,axiom,
% 2.91/2.95 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__strict__right__mono_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__less__cancel__right_1,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_bot__least_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Obot(T_a)
% 2.91/2.95 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__mono_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_c,V_d,T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_not__leE_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.91/2.95 | c_lessequals(V_y,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_linorder__antisym__conv2_1,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,V_x,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_linorder__antisym__conv1_1,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 2.91/2.95 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_linorder__not__less_1,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.91/2.95 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_linorder__not__less_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | c_lessequals(V_y,V_x,T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_linorder__not__le_1,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,V_y,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_linorder__not__le_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.91/2.95 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_less__le__not__le_1,axiom,
% 2.91/2.95 ( ~ class_Orderings_Opreorder(T_a)
% 2.91/2.95 | ~ c_lessequals(V_y,V_x,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_le__iff__inf_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 2.91/2.95 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_le__iff__inf_1,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 2.91/2.95 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_inf__absorb2_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 2.91/2.95 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_le__infE_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_lessequals(V_x,V_a,T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_le__infE_1,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_lessequals(V_x,V_b,T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_le__infI1_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 2.91/2.95 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_le__infI2_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 2.91/2.95 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_le__inf__iff_0,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_lessequals(V_x,V_y,T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_le__inf__iff_1,axiom,
% 2.91/2.95 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.91/2.95 | c_lessequals(V_x,V_z,T_a)
% 2.91/2.95 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_le__add__iff1_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_le__add__iff1_1,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_le__add__iff2_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.91/2.95 | c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_le__add__iff2_1,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.91/2.95 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 2.91/2.95 | ~ c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Min__in_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a)
% 2.91/2.95 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.91/2.95 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Max__in_0,axiom,
% 2.91/2.95 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.95 | c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a)
% 2.91/2.95 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.91/2.95 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_less__eqI_1,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.91/2.95 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_less__eqI_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.91/2.95 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.91/2.95 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 2.91/2.95 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mod__diff__cong_0,axiom,
% 2.91/2.95 ( ~ class_Divides_Oring__div(T_a)
% 2.91/2.95 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 2.91/2.95 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 2.91/2.95 | 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) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_dvd__diff_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 2.91/2.95 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a)
% 2.91/2.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.91/2.95 | ~ class_Int_Onumber__ring(T_a)
% 2.91/2.95 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_diff__self_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.91/2.95 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_diff__0__right_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.91/2.95 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_right__minus__eq_1,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.91/2.95 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.91/2.95 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_diff__add__cancel_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.91/2.95 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mod__diff__left__eq_0,axiom,
% 2.91/2.95 ( ~ class_Divides_Oring__div(T_a)
% 2.91/2.95 | 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) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mod__diff__right__eq_0,axiom,
% 2.91/2.95 ( ~ class_Divides_Oring__div(T_a)
% 2.91/2.95 | 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) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 2.91/2.95 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.91/2.95 | ~ class_Int_Onumber__ring(T_a)
% 2.91/2.95 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.95 | V_x = V_y ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_right__minus__eq_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.91/2.95 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.95 | V_a = V_b ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.91/2.95 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.91/2.95 | V_a = V_b ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_mod__diff__eq_0,axiom,
% 2.91/2.95 ( ~ class_Divides_Oring__div(T_a)
% 2.91/2.95 | 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) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_add__diff__cancel_0,axiom,
% 2.91/2.95 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.91/2.95 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_insert__Diff_0,axiom,
% 2.91/2.95 ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A
% 2.91/2.95 | ~ c_in(V_a,V_A,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_vimage__singleton__eq_0,axiom,
% 2.91/2.95 ( hAPP(V_f,V_a) = V_b
% 2.91/2.95 | ~ c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_vimage__singleton__eq_1,axiom,
% 2.91/2.95 c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a),T_aa) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_Diff__insert__absorb_0,axiom,
% 2.91/2.95 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = V_A
% 2.91/2.95 | c_in(V_x,V_A,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_finite__UNIV_0,axiom,
% 2.91/2.95 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 2.91/2.95 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_finite_OemptyI_0,axiom,
% 2.91/2.95 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_finite__Diff2_1,axiom,
% 2.91/2.95 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.95 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.91/2.95 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.91/2.95
% 2.91/2.95 cnf(cls_finite__Diff2_0,axiom,
% 2.91/2.95 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.91/2.95 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_finite__Diff_0,axiom,
% 2.91/2.96 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_finite__Int_1,axiom,
% 2.91/2.96 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_finite__Int_0,axiom,
% 2.91/2.96 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inj__on__fun__updI_0,axiom,
% 2.91/2.96 ( c_Fun_Oinj__on(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_A,T_a,T_b)
% 2.91/2.96 | c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 2.91/2.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inj__image__mem__iff_1,axiom,
% 2.91/2.96 ( c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 2.91/2.96 | ~ c_in(V_a,V_A,T_a)
% 2.91/2.96 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inj__image__mem__iff_0,axiom,
% 2.91/2.96 ( c_in(V_a,V_A,T_a)
% 2.91/2.96 | ~ c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 2.91/2.96 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_psubset__insert__iff_5,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | c_in(V_x,V_B,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_fun__upd__image_0,axiom,
% 2.91/2.96 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oinsert(V_y,c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),tc_fun(T_b,tc_bool)),T_b,T_a),T_a)
% 2.91/2.96 | ~ c_in(V_x,V_A,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inj__on__insert_2,axiom,
% 2.91/2.96 ( c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)
% 2.91/2.96 | c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),T_b)
% 2.91/2.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inj__on__insert_1,axiom,
% 2.91/2.96 ( ~ c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),T_b)
% 2.91/2.96 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Suc__mult__cancel1_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | V_m = V_n ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__SucI_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Suc__lessD_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mod__Suc__eq__Suc__mod_0,axiom,
% 2.91/2.96 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) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__trans__Suc_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__Suc__eq_2,axiom,
% 2.91/2.96 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_lessI_0,axiom,
% 2.91/2.96 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Suc__neq__Zero_0,axiom,
% 2.91/2.96 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 2.91/2.96 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 2.91/2.96 ( V_n = V_m
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__antisym_0,axiom,
% 2.91/2.96 ( V_m = V_n
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__SucE_0,axiom,
% 2.91/2.96 ( V_m = V_n
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Zero__neq__Suc_0,axiom,
% 2.91/2.96 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 2.91/2.96 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__Suc_0,axiom,
% 2.91/2.96 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)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__Suc__right_0,axiom,
% 2.91/2.96 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)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mod__Suc_1,axiom,
% 2.91/2.96 ( 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))
% 2.91/2.96 | c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) = V_n ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__Suc__shift_0,axiom,
% 2.91/2.96 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) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Suc__lessI_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 2.91/2.96 | c_Suc(V_m) = V_n
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_not__less__eq_1,axiom,
% 2.91/2.96 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_not__less__eq_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Suc__less__eq_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Suc__mono_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_empty__not__insert_0,axiom,
% 2.91/2.96 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_doubleton__eq__iff_3,axiom,
% 2.91/2.96 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 2.91/2.96 | V_b = V_c
% 2.91/2.96 | V_b = V_d ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_doubleton__eq__iff_2,axiom,
% 2.91/2.96 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 2.91/2.96 | V_a = V_d
% 2.91/2.96 | V_b = V_d ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_doubleton__eq__iff_1,axiom,
% 2.91/2.96 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 2.91/2.96 | V_b = V_c
% 2.91/2.96 | V_a = V_c ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_doubleton__eq__iff_0,axiom,
% 2.91/2.96 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 2.91/2.96 | V_a = V_d
% 2.91/2.96 | V_a = V_c ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_insert__inter__insert_0,axiom,
% 2.91/2.96 c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_insert__not__empty_0,axiom,
% 2.91/2.96 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inj__on__insert_0,axiom,
% 2.91/2.96 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.91/2.96 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_doubleton__eq__iff_4,axiom,
% 2.91/2.96 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_singleton__inject_0,axiom,
% 2.91/2.96 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.96 | V_a = V_b ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_subset__insert__iff_4,axiom,
% 2.91/2.96 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__fun__def_0,axiom,
% 2.91/2.96 ( ~ class_HOL_Oord(T_b)
% 2.91/2.96 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b))
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__fun__def_2,axiom,
% 2.91/2.96 ( ~ class_HOL_Oord(T_b)
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))
% 2.91/2.96 | c_lessequals(V_g,V_f,tc_fun(T_a,T_b))
% 2.91/2.96 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__fun__def_1,axiom,
% 2.91/2.96 ( ~ class_HOL_Oord(T_b)
% 2.91/2.96 | ~ c_lessequals(V_g,V_f,tc_fun(T_a,T_b))
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_subset__iff__psubset__eq_0,axiom,
% 2.91/2.96 ( V_A = V_B
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__less__cancel__right_0,axiom,
% 2.91/2.96 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__strict__left__mono_0,axiom,
% 2.91/2.96 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.91/2.96 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__less__cancel__left_1,axiom,
% 2.91/2.96 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.91/2.96 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__less__cancel__left_0,axiom,
% 2.91/2.96 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__less__mono1_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.96 | ~ 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) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_split__mod_0,axiom,
% 2.91/2.96 ( ~ hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 2.91/2.96 | hBOOL(hAPP(V_P,V_n)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_split__mod_5,axiom,
% 2.91/2.96 ( ~ hBOOL(hAPP(V_P,V_n))
% 2.91/2.96 | hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__nonpos__nonpos_0,axiom,
% 2.91/2.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.91/2.96 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.96 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.96 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inv__f__f_0,axiom,
% 2.91/2.96 ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x
% 2.91/2.96 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inv__f__eq_0,axiom,
% 2.91/2.96 ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)
% 2.91/2.96 | hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__diff__split_0,axiom,
% 2.91/2.96 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat)
% 2.91/2.96 | ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__is__1_5,axiom,
% 2.91/2.96 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)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Int__Diff_0,axiom,
% 2.91/2.96 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_dvd__mult__cancel1_0,axiom,
% 2.91/2.96 ( V_n = c_HOL_Oone__class_Oone(tc_nat)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_m,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_dvd__mult__cancel2_0,axiom,
% 2.91/2.96 ( V_n = c_HOL_Oone__class_Oone(tc_nat)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),V_m,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mult__idem_0,axiom,
% 2.91/2.96 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 2.91/2.96 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mod__mult__self2__is__0_0,axiom,
% 2.91/2.96 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.96 | 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) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mod__mult__self1__is__0_0,axiom,
% 2.91/2.96 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.96 | 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) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mod__eq__0__iff_1,axiom,
% 2.91/2.96 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) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mult__strict__mono_H_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.91/2.96 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 2.91/2.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__dvd__1__iff__1_0,axiom,
% 2.91/2.96 ( V_m = c_HOL_Oone__class_Oone(tc_nat)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_zero__less__diff_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.96 | ~ 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) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_zero__less__diff_1,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.96 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.91/2.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.91/2.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_vimage__code_0,axiom,
% 2.91/2.96 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 2.91/2.96 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_vimage__code_1,axiom,
% 2.91/2.96 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 2.91/2.96 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_of__nat__add_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 2.91/2.96 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),T_a) = c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__less_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inf1I_0,axiom,
% 2.91/2.96 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 2.91/2.96 | ~ hBOOL(hAPP(V_B,V_x))
% 2.91/2.96 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_fun__upd__apply_1,axiom,
% 2.91/2.96 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z) = hAPP(V_f,V_z)
% 2.91/2.96 | V_z = V_x ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_fun__upd__other_0,axiom,
% 2.91/2.96 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z) = hAPP(V_f,V_z)
% 2.91/2.96 | V_z = V_x ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_zmod__simps_I1_J_0,axiom,
% 2.91/2.96 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.96 | 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) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_zmod__simps_I2_J_0,axiom,
% 2.91/2.96 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.96 | 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) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__diff__inverse_0,axiom,
% 2.91/2.96 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inf__period_I4_J_1,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Odvd(T_a)
% 2.91/2.96 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 2.91/2.96 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inf__period_I4_J_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Odvd(T_a)
% 2.91/2.96 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 2.91/2.96 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__is__1_1,axiom,
% 2.91/2.96 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.91/2.96 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.91/2.96 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__is__1_2,axiom,
% 2.91/2.96 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.91/2.96 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.96 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.91/2.96 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.91/2.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_zero__le__mult__iff_5,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.96 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.91/2.96 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.96 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_zero__le__mult__iff_4,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.96 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.91/2.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_zero__le__square_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.91/2.96 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.91/2.96 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.91/2.96 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.96 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_split__mult__pos__le_1,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.91/2.96 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.91/2.96 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.96 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_split__mult__pos__le_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.91/2.96 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.91/2.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.91/2.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mod__mult__mult2_0,axiom,
% 2.91/2.96 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.96 | 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) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mod__mult__mult1_0,axiom,
% 2.91/2.96 ( ~ class_Divides_Osemiring__div(T_a)
% 2.91/2.96 | 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) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_dvd__imp__le_0,axiom,
% 2.91/2.96 ( c_lessequals(V_k,V_n,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_vimage__empty_0,axiom,
% 2.91/2.96 c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__1__eq__mult__iff_0,axiom,
% 2.91/2.96 ( c_HOL_Oone__class_Oone(tc_nat) != c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)
% 2.91/2.96 | V_m = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__1__eq__mult__iff_1,axiom,
% 2.91/2.96 ( c_HOL_Oone__class_Oone(tc_nat) != c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)
% 2.91/2.96 | V_n = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 2.91/2.96 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 2.91/2.96 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.96 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.96 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.96 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.96 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__mult__assoc_0,axiom,
% 2.91/2.96 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) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_class__semiring_Omul__a_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.96 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.96 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 2.91/2.96 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__mult__distrib_0,axiom,
% 2.91/2.96 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) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__mult__distrib2_0,axiom,
% 2.91/2.96 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) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_class__semiring_Omul__d_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.91/2.96 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_xt1_I9_J_0,axiom,
% 2.91/2.96 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 2.91/2.96 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_dvd_Ole__less__trans_0,axiom,
% 2.91/2.96 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 2.91/2.96 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_dvd_Oless__le__trans_0,axiom,
% 2.91/2.96 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 2.91/2.96 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_order__less__asym_0,axiom,
% 2.91/2.96 ( ~ class_Orderings_Opreorder(T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_order__less__asym_H_0,axiom,
% 2.91/2.96 ( ~ class_Orderings_Opreorder(T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Max__mono_0,axiom,
% 2.91/2.96 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.96 | c_lessequals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 2.91/2.96 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Min__antimono_0,axiom,
% 2.91/2.96 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.96 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 2.91/2.96 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_subset__insert__iff_0,axiom,
% 2.91/2.96 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_in(V_x,V_A,T_a)
% 2.91/2.96 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_subset__insert__iff_3,axiom,
% 2.91/2.96 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_in(V_x,V_A,T_a)
% 2.91/2.96 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__single__insert_0,axiom,
% 2.91/2.96 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_in(V_x,V_A,T_a)
% 2.91/2.96 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_card__psubset_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_a),tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_card__Diff__subset__Int_0,axiom,
% 2.91/2.96 ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a),tc_nat)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_card__Diff__singleton_0,axiom,
% 2.91/2.96 ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(V_A,T_a),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 2.91/2.96 | ~ c_in(V_x,V_A,T_a)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_atLeast__iff_0,axiom,
% 2.91/2.96 ( ~ class_HOL_Oord(T_a)
% 2.91/2.96 | c_lessequals(V_k,V_i,T_a)
% 2.91/2.96 | ~ c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_atLeast__iff_1,axiom,
% 2.91/2.96 ( ~ class_HOL_Oord(T_a)
% 2.91/2.96 | c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a)
% 2.91/2.96 | ~ c_lessequals(V_k,V_i,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__iff__diff__le__0_1,axiom,
% 2.91/2.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.91/2.96 | c_lessequals(V_a,V_b,T_a)
% 2.91/2.96 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__iff__diff__le__0_0,axiom,
% 2.91/2.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.91/2.96 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.91/2.96 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_insert__Diff__if_1,axiom,
% 2.91/2.96 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.96 | c_in(V_x,V_B,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Int__insert__left_1,axiom,
% 2.91/2.96 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.91/2.96 | c_in(V_a,V_C,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Int__insert__right_1,axiom,
% 2.91/2.96 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | c_in(V_a,V_A,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 2.91/2.96 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.91/2.96 | c_in(V_x,V_xa,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_singletonE_0,axiom,
% 2.91/2.96 ( V_b = V_a
% 2.91/2.96 | ~ c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_insert__Diff1_0,axiom,
% 2.91/2.96 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_in(V_x,V_B,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_psubset__insert__iff_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_in(V_x,V_B,T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_psubset__insert__iff_6,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_in(V_x,V_B,T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Int__insert__left_0,axiom,
% 2.91/2.96 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.96 | ~ c_in(V_a,V_C,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Int__insert__right_0,axiom,
% 2.91/2.96 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.96 | ~ c_in(V_a,V_A,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_singleton__iff_1,axiom,
% 2.91/2.96 c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_weak__coinduct_0,axiom,
% 2.91/2.96 ( c_in(V_a,c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.96 | ~ c_lessequals(V_X,hAPP(V_f,V_X),tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_in(V_a,V_X,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_atLeast__subset__iff_0,axiom,
% 2.91/2.96 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.96 | c_lessequals(V_y,V_x,T_a)
% 2.91/2.96 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeast(V_x,T_a),c_SetInterval_Oord__class_OatLeast(V_y,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_psubset__eq_2,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | V_A = V_B
% 2.91/2.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_double__diff_0,axiom,
% 2.91/2.96 ( c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
% 2.91/2.96 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Int__mono_0,axiom,
% 2.91/2.96 ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_subset__psubset__trans_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_psubset__subset__trans_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_subset__inj__on_0,axiom,
% 2.91/2.96 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.91/2.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_subset__UNIV_0,axiom,
% 2.91/2.96 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Int__subset__iff_2,axiom,
% 2.91/2.96 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Int__greatest_0,axiom,
% 2.91/2.96 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Int__lower2_0,axiom,
% 2.91/2.96 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Int__lower1_0,axiom,
% 2.91/2.96 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_subset__empty_1,axiom,
% 2.91/2.96 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_subset__empty_0,axiom,
% 2.91/2.96 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_psubset__eq_0,axiom,
% 2.91/2.96 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Diff__mono_0,axiom,
% 2.91/2.96 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_empty__subsetI_0,axiom,
% 2.91/2.96 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Int__absorb2_0,axiom,
% 2.91/2.96 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 2.91/2.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Int__absorb1_0,axiom,
% 2.91/2.96 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 2.91/2.96 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Diff__subset_0,axiom,
% 2.91/2.96 c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_vimage__mono_0,axiom,
% 2.91/2.96 ( c_lessequals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Int__subset__iff_1,axiom,
% 2.91/2.96 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Int__subset__iff_0,axiom,
% 2.91/2.96 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_one__le__mult__iff_2,axiom,
% 2.91/2.96 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 2.91/2.96 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 2.91/2.96 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_one__le__mult__iff_1,axiom,
% 2.91/2.96 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 2.91/2.96 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_one__le__mult__iff_0,axiom,
% 2.91/2.96 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 2.91/2.96 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inj__on__image__set__diff_0,axiom,
% 2.91/2.96 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inj__on__inv__into_0,axiom,
% 2.91/2.96 ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_B,T_a,T_b)
% 2.91/2.96 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inj__image__subset__iff_1,axiom,
% 2.91/2.96 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inj__image__subset__iff_0,axiom,
% 2.91/2.96 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.91/2.96 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inj__on__image__Int_0,axiom,
% 2.91/2.96 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inv__into__image__cancel_0,axiom,
% 2.91/2.96 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_S,T_a,T_b),T_b,T_a) = V_S
% 2.91/2.96 | ~ c_lessequals(V_S,V_A,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_card__eq__0__iff_0,axiom,
% 2.91/2.96 ( c_Finite__Set_Ocard(V_A,T_a) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.91/2.96 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_psubset__card__mono_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_a),tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_card__gt__0__iff_1,axiom,
% 2.91/2.96 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(V_A,T_a),tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__neq__implies__less_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.96 | V_m = V_n
% 2.91/2.96 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__eq__less__or__eq_0,axiom,
% 2.91/2.96 ( V_m = V_n
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__less__le_2,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.96 | V_m = V_n
% 2.91/2.96 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mult__le__cancel2_2,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mult__le__cancel1_2,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mult__le__mono2_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mult__le__mono1_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__0__eq_1,axiom,
% 2.91/2.96 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inc__induct_2,axiom,
% 2.91/2.96 ( hBOOL(hAPP(V_P,V_i))
% 2.91/2.96 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xinc__induct__1__1(V_P,V_j)))
% 2.91/2.96 | ~ hBOOL(hAPP(V_P,V_j))
% 2.91/2.96 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__add__left__cancel__le_1,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__add__left__cancel__le_0,axiom,
% 2.91/2.96 ( c_lessequals(V_m,V_n,tc_nat)
% 2.91/2.96 | ~ 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) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__le__mono1_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__less__le_0,axiom,
% 2.91/2.96 ( c_lessequals(V_m,V_n,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 2.91/2.96 ( c_lessequals(V_x,V_y,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__iff__add_1,axiom,
% 2.91/2.96 c_lessequals(V_m,c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat),tc_nat) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__add2_0,axiom,
% 2.91/2.96 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__add1_0,axiom,
% 2.91/2.96 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__0__eq_0,axiom,
% 2.91/2.96 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__le__mono_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_k,V_l,tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_trans__le__add2_0,axiom,
% 2.91/2.96 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_trans__le__add1_0,axiom,
% 2.91/2.96 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__leE_1,axiom,
% 2.91/2.96 ( c_lessequals(V_k,V_n,tc_nat)
% 2.91/2.96 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__leE_0,axiom,
% 2.91/2.96 ( c_lessequals(V_m,V_n,tc_nat)
% 2.91/2.96 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_termination__basic__simps_I4_J_0,axiom,
% 2.91/2.96 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_x,V_z,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_termination__basic__simps_I3_J_0,axiom,
% 2.91/2.96 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_x,V_y,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le0_0,axiom,
% 2.91/2.96 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mod__less__eq__dividend_0,axiom,
% 2.91/2.96 c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__square_0,axiom,
% 2.91/2.96 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_mult__le__mono_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_k,V_l,tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__cube_0,axiom,
% 2.91/2.96 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) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__Suc__less_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Suc__pred_0,axiom,
% 2.91/2.96 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_image__cong_1,axiom,
% 2.91/2.96 ( hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(V_x,V_f,V_g,T_a,T_b)) != hAPP(V_g,c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(V_x,V_f,V_g,T_a,T_b))
% 2.91/2.96 | c_Set_Oimage(V_f,V_x,T_a,T_b) = c_Set_Oimage(V_g,V_x,T_a,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_image__is__empty_0,axiom,
% 2.91/2.96 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.91/2.96 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_empty__is__image_0,axiom,
% 2.91/2.96 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 2.91/2.96 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_image__empty_0,axiom,
% 2.91/2.96 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_empty__is__image_1,axiom,
% 2.91/2.96 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__le__add__iff2_1,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ 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)
% 2.91/2.96 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__le__add__iff2_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ 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)
% 2.91/2.96 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__le__add__iff1_1,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ 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)
% 2.91/2.96 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__le__add__iff1_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ 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)
% 2.91/2.96 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__eq__add__iff2_1,axiom,
% 2.91/2.96 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 2.91/2.96 | 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) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__eq__add__iff2_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_i,V_j,tc_nat)
% 2.91/2.96 | 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) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__eq__add__iff1_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_j,V_i,tc_nat)
% 2.91/2.96 | 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 ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__eq__add__iff1_1,axiom,
% 2.91/2.96 ( ~ c_lessequals(V_j,V_i,tc_nat)
% 2.91/2.96 | 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) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__diff__add__eq2_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__diff__add__eq1_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diffs0__imp__equal_0,axiom,
% 2.91/2.96 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.96 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.96 | V_m = V_n ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__imp__diff__less_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_dvd__diff__nat_0,axiom,
% 2.91/2.96 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 2.91/2.96 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__self__eq__0_0,axiom,
% 2.91/2.96 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__less__mono2_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__diff__split__asm_1,axiom,
% 2.91/2.96 ( ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_b,V_x,tc_nat),V_b,tc_nat)))
% 2.91/2.96 | hBOOL(hAPP(V_P,V_x)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_nat__diff__split_1,axiom,
% 2.91/2.96 ( ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_b,V_d,tc_nat),V_b,tc_nat)))
% 2.91/2.96 | hBOOL(hAPP(V_P,V_d)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_zero__induct__lemma_1,axiom,
% 2.91/2.96 ( hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat)))
% 2.91/2.96 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1(V_P)))
% 2.91/2.96 | ~ hBOOL(hAPP(V_P,V_k)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__diff__left_0,axiom,
% 2.91/2.96 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) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__0__eq__0_0,axiom,
% 2.91/2.96 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__cancel2_0,axiom,
% 2.91/2.96 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) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__cancel_0,axiom,
% 2.91/2.96 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) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__mult__distrib2_0,axiom,
% 2.91/2.96 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) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__mult__distrib_0,axiom,
% 2.91/2.96 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) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__add__inverse2_0,axiom,
% 2.91/2.96 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__add__inverse_0,axiom,
% 2.91/2.96 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_card__Diff1__less_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat)
% 2.91/2.96 | ~ c_in(V_x,V_A,T_a)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_card__Diff2__less_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat)
% 2.91/2.96 | ~ c_in(V_y,V_A,T_a)
% 2.91/2.96 | ~ c_in(V_x,V_A,T_a)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_atLeast__subset__iff_1,axiom,
% 2.91/2.96 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.96 | c_lessequals(c_SetInterval_Oord__class_OatLeast(V_x,T_a),c_SetInterval_Oord__class_OatLeast(V_y,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_rangeI_0,axiom,
% 2.91/2.96 c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inv__into__into_0,axiom,
% 2.91/2.96 ( c_in(hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_x),V_A,T_b)
% 2.91/2.96 | ~ c_in(V_x,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inv__into__injective_0,axiom,
% 2.91/2.96 ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_x) != hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_y)
% 2.91/2.96 | V_x = V_y
% 2.91/2.96 | ~ c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 2.91/2.96 | ~ c_in(V_x,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_imageE_1,axiom,
% 2.91/2.96 ( c_in(c_ATP__Linkup_Osko__Set__XimageE__1__1(V_A,V_b,V_f,T_b,T_a),V_A,T_b)
% 2.91/2.96 | ~ c_in(V_b,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_image__iff_1,axiom,
% 2.91/2.96 ( V_z = hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(V_A,V_f,V_z,T_b,T_a))
% 2.91/2.96 | ~ c_in(V_z,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_image__cong_0,axiom,
% 2.91/2.96 ( c_Set_Oimage(V_f,V_x,T_a,T_b) = c_Set_Oimage(V_g,V_x,T_a,T_b)
% 2.91/2.96 | c_in(c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(V_x,V_f,V_g,T_a,T_b),V_x,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_f__inv__into__f_0,axiom,
% 2.91/2.96 ( hAPP(V_f,hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_y)) = V_y
% 2.91/2.96 | ~ c_in(V_y,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_image__iff_0,axiom,
% 2.91/2.96 ( c_in(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(V_A,V_f,V_z,T_b,T_a),V_A,T_b)
% 2.91/2.96 | ~ c_in(V_z,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_fun__upd__image_1,axiom,
% 2.91/2.96 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oimage(V_f,V_A,T_b,T_a)
% 2.91/2.96 | c_in(V_x,V_A,T_b) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_imageE_0,axiom,
% 2.91/2.96 ( V_b = hAPP(V_f,c_ATP__Linkup_Osko__Set__XimageE__1__1(V_A,V_b,V_f,T_b,T_a))
% 2.91/2.96 | ~ c_in(V_b,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_of__nat__le__iff_1,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.96 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 2.91/2.96 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_of__nat__le__iff_0,axiom,
% 2.91/2.96 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.91/2.96 | c_lessequals(V_m,V_n,tc_nat)
% 2.91/2.96 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_finite__Diff__insert_0,axiom,
% 2.91/2.96 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_finite__Diff__insert_1,axiom,
% 2.91/2.96 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_card__Diff__singleton__if_1,axiom,
% 2.91/2.96 ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Finite__Set_Ocard(V_A,T_a)
% 2.91/2.96 | c_in(V_x,V_A,T_a)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_finite__imageD_0,axiom,
% 2.91/2.96 ( c_Finite__Set_Ofinite(V_A,T_b)
% 2.91/2.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_b,T_a)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_subset__singletonD_0,axiom,
% 2.91/2.96 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.96 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_full__nat__induct_0,axiom,
% 2.91/2.96 ( hBOOL(hAPP(V_P,V_n))
% 2.91/2.96 | hBOOL(hAPP(V_P,V_m))
% 2.91/2.96 | ~ c_lessequals(c_Suc(V_m),c_ATP__Linkup_Osko__Nat__Xfull__nat__induct__1__1(V_P),tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Suc__mult__le__cancel1_0,axiom,
% 2.91/2.96 ( c_lessequals(V_m,V_n,tc_nat)
% 2.91/2.96 | ~ 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) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Suc__mult__le__cancel1_1,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__less__Suc__eq_1,axiom,
% 2.91/2.96 ( ~ c_lessequals(V_x,V_x,tc_nat)
% 2.91/2.96 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__Suc__eq__le_0,axiom,
% 2.91/2.96 ( c_lessequals(V_m,V_n,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__Suc__eq__le_1,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Suc__leI_0,axiom,
% 2.91/2.96 ( c_lessequals(c_Suc(V_m),V_n,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Suc__le__eq_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.96 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__eq__Suc__le_0,axiom,
% 2.91/2.96 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__eq__Suc__le_1,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 2.91/2.96 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_inc__induct_1,axiom,
% 2.91/2.96 ( hBOOL(hAPP(V_P,V_i))
% 2.91/2.96 | hBOOL(hAPP(V_P,c_Suc(c_ATP__Linkup_Osko__Nat__Xinc__induct__1__1(V_P,V_j))))
% 2.91/2.96 | ~ hBOOL(hAPP(V_P,V_j))
% 2.91/2.96 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Suc__le__D_0,axiom,
% 2.91/2.96 ( V_m_H = c_Suc(c_ATP__Linkup_Osko__Nat__XSuc__le__D__1__1(V_m_H))
% 2.91/2.96 | ~ c_lessequals(c_Suc(V_n),V_m_H,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Suc__le__D__lemma_0,axiom,
% 2.91/2.96 ( hBOOL(hAPP(V_P,V_m_H))
% 2.91/2.96 | c_lessequals(V_n,c_Natural_Osko__Natural__XSuc__le__D__lemma__1__1(V_P,V_n),tc_nat)
% 2.91/2.96 | ~ c_lessequals(c_Suc(V_n),V_m_H,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_Suc__le__D__lemma_1,axiom,
% 2.91/2.96 ( hBOOL(hAPP(V_P,V_m_H))
% 2.91/2.96 | ~ hBOOL(hAPP(V_P,c_Suc(c_Natural_Osko__Natural__XSuc__le__D__lemma__1__1(V_P,V_n))))
% 2.91/2.96 | ~ c_lessequals(c_Suc(V_n),V_m_H,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__less__Suc__eq_0,axiom,
% 2.91/2.96 ( V_n = V_m
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_card__insert_0,axiom,
% 2.91/2.96 ( c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a))
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_card__Diff1__le_0,axiom,
% 2.91/2.96 ( c_lessequals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_subset__image__iff_1,axiom,
% 2.91/2.96 ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a)
% 2.91/2.96 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_image__diff__subset_0,axiom,
% 2.91/2.96 c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_subset__image__iff_0,axiom,
% 2.91/2.96 ( c_lessequals(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(V_A,V_B,V_f,T_b,T_a),V_A,tc_fun(T_b,tc_bool))
% 2.91/2.96 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_image__vimage__subset_0,axiom,
% 2.91/2.96 c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_image__Int__subset_0,axiom,
% 2.91/2.96 c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_card__eq__UNIV__imp__eq__UNIV_0,axiom,
% 2.91/2.96 ( c_Finite__Set_Ocard(V_A,T_a) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.96 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.96 | V_A = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_card__eq__0__iff_2,axiom,
% 2.91/2.96 ( c_Finite__Set_Ocard(V_A,T_a) = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.96 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__Suc__eq__diff__pred_0,axiom,
% 2.91/2.96 c_HOL_Ominus__class_Ominus(V_m,c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_zero__induct__lemma_0,axiom,
% 2.91/2.96 ( hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat)))
% 2.91/2.96 | hBOOL(hAPP(V_P,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1(V_P))))
% 2.91/2.96 | ~ hBOOL(hAPP(V_P,V_k)) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__less__Suc_0,axiom,
% 2.91/2.96 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__Suc__1_0,axiom,
% 2.91/2.96 c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_card__eq__SucD_2,axiom,
% 2.91/2.96 ( c_Finite__Set_Ocard(V_A,T_a) != c_Suc(V_k)
% 2.91/2.96 | c_Finite__Set_Ocard(c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(V_A,V_k,T_a),T_a) = V_k ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_card__Suc__eq_2,axiom,
% 2.91/2.96 ( c_Finite__Set_Ocard(V_A,T_a) != c_Suc(V_k)
% 2.91/2.96 | c_Finite__Set_Ocard(c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(V_A,V_k,T_a),T_a) = V_k ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__add__diff_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_k,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__less__mono_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_c,V_a,tc_nat)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__is__0__eq_0,axiom,
% 2.91/2.96 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.96 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__is__0__eq_1,axiom,
% 2.91/2.96 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_dvd__diffD_0,axiom,
% 2.91/2.96 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_n,V_m,tc_nat)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_dvd__diffD1_0,axiom,
% 2.91/2.96 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_n,V_m,tc_nat)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat)
% 2.91/2.96 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__diff__conv2_0,axiom,
% 2.91/2.96 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__diff__conv2_1,axiom,
% 2.91/2.96 ( c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 2.91/2.96 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__mod__geq_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__diff__conv_0,axiom,
% 2.91/2.96 ( c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat)
% 2.91/2.96 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__diff__conv_1,axiom,
% 2.91/2.96 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__add__assoc_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__add__assoc2_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_diff__diff__right_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__imp__diff__is__add_1,axiom,
% 2.91/2.96 ( ~ c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),tc_nat)
% 2.91/2.96 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),V_i,tc_nat) = V_k ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__imp__diff__is__add_0,axiom,
% 2.91/2.96 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 2.91/2.96 | V_j = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_i,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__add__diff__inverse_0,axiom,
% 2.91/2.96 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m
% 2.91/2.96 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_le__add__diff__inverse2_0,axiom,
% 2.91/2.96 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m
% 2.91/2.96 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__diff__assoc_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_add__diff__assoc2_0,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__diff__iff_0,axiom,
% 2.91/2.96 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.96 | ~ 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)
% 2.91/2.96 | ~ c_lessequals(V_k,V_n,tc_nat)
% 2.91/2.96 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 2.91/2.96
% 2.91/2.96 cnf(cls_less__diff__iff_1,axiom,
% 2.91/2.96 ( 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)
% 2.91/2.96 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_k,V_n,tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_card__image_0,axiom,
% 2.91/2.97 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Finite__Set_Ocard(V_A,T_a)
% 2.91/2.97 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_card__Suc__Diff1_0,axiom,
% 2.91/2.97 ( c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)) = c_Finite__Set_Ocard(V_A,T_a)
% 2.91/2.97 | ~ c_in(V_x,V_A,T_a)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_card__Diff__insert_0,axiom,
% 2.91/2.97 ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 2.91/2.97 | c_in(V_a,V_B,T_a)
% 2.91/2.97 | ~ c_in(V_a,V_A,T_a)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_Min__le_0,axiom,
% 2.91/2.97 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.97 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a)
% 2.91/2.97 | ~ c_in(V_x,V_A,T_a)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_Max__ge_0,axiom,
% 2.91/2.97 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.97 | c_lessequals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a)
% 2.91/2.97 | ~ c_in(V_x,V_A,T_a)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_psubset__insert__iff_2,axiom,
% 2.91/2.97 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | c_in(V_x,V_A,T_a)
% 2.91/2.97 | c_in(V_x,V_B,T_a)
% 2.91/2.97 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_psubset__insert__iff_3,axiom,
% 2.91/2.97 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | c_in(V_x,V_A,T_a)
% 2.91/2.97 | c_in(V_x,V_B,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_psubset__insert__iff_7,axiom,
% 2.91/2.97 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | c_in(V_x,V_A,T_a)
% 2.91/2.97 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_lift__Suc__mono__le_0,axiom,
% 2.91/2.97 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.97 | c_lessequals(hAPP(V_f,V_n),hAPP(V_f,V_n_H),T_a)
% 2.91/2.97 | ~ c_lessequals(V_n,V_n_H,tc_nat)
% 2.91/2.97 | ~ c_lessequals(hAPP(V_f,c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1(V_f,T_a)),hAPP(V_f,c_Suc(c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1(V_f,T_a))),T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_image__subsetI_0,axiom,
% 2.91/2.97 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))
% 2.91/2.97 | c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_image__subset__iff_2,axiom,
% 2.91/2.97 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_in(hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(V_A,V_B,V_f,T_b,T_a)),V_B,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_image__subset__iff_1,axiom,
% 2.91/2.97 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(V_A,V_B,V_f,T_b,T_a),V_A,T_b) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_weak__coinduct__image_0,axiom,
% 2.91/2.97 ( c_in(hAPP(V_g,V_a),c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_b,tc_bool)),T_b)
% 2.91/2.97 | ~ c_lessequals(c_Set_Oimage(V_g,V_X,T_a,T_b),hAPP(V_f,c_Set_Oimage(V_g,V_X,T_a,T_b)),tc_fun(T_b,tc_bool))
% 2.91/2.97 | ~ c_in(V_a,V_X,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_image__subsetI_1,axiom,
% 2.91/2.97 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))
% 2.91/2.97 | ~ c_in(hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(V_A,V_B,V_f,T_a,T_b)),V_B,T_b) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_finite__surj__inj_0,axiom,
% 2.91/2.97 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 2.91/2.97 | ~ c_lessequals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_finite__subset__image_2,axiom,
% 2.91/2.97 ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a)
% 2.91/2.97 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_finite__subset__image_1,axiom,
% 2.91/2.97 ( c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b)
% 2.91/2.97 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_endo__inj__surj_0,axiom,
% 2.91/2.97 ( c_Set_Oimage(V_f,V_A,T_a,T_a) = V_A
% 2.91/2.97 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 2.91/2.97 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_finite__subset__image_0,axiom,
% 2.91/2.97 ( c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),V_A,tc_fun(T_b,tc_bool))
% 2.91/2.97 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_of__nat__diff_0,axiom,
% 2.91/2.97 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 2.91/2.97 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 2.91/2.97 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_eq__card__imp__inj__on_0,axiom,
% 2.91/2.97 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) != c_Finite__Set_Ocard(V_A,T_a)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.91/2.97 | c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_inj__on__iff__eq__card_0,axiom,
% 2.91/2.97 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Finite__Set_Ocard(V_A,T_a)
% 2.91/2.97 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_diff__Suc__diff__eq2_0,axiom,
% 2.91/2.97 ( 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)
% 2.91/2.97 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_diff__Suc__diff__eq1_0,axiom,
% 2.91/2.97 ( 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)
% 2.91/2.97 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_card__Suc__eq_5,axiom,
% 2.91/2.97 ( c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 2.91/2.97 | c_Finite__Set_Ocard(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_card__Suc__eq_4,axiom,
% 2.91/2.97 ( c_in(V_x,V_xa,T_a)
% 2.91/2.97 | c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_xa,T_a),T_a) = c_Suc(c_Finite__Set_Ocard(V_xa,T_a))
% 2.91/2.97 | c_Finite__Set_Ocard(V_xa,T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_card__bij__eq_0,axiom,
% 2.91/2.97 ( c_Finite__Set_Ocard(V_A,T_a) = c_Finite__Set_Ocard(V_B,T_b)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_B,T_b)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.91/2.97 | ~ c_lessequals(c_Set_Oimage(V_g,V_B,T_b,T_a),V_A,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_Fun_Oinj__on(V_g,V_B,T_b,T_a)
% 2.91/2.97 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))
% 2.91/2.97 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_card__Diff__subset_0,axiom,
% 2.91/2.97 ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_a),tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_card__inj__on__le_0,axiom,
% 2.91/2.97 ( c_lessequals(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_b),tc_nat)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_B,T_b)
% 2.91/2.97 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))
% 2.91/2.97 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_linorder__linear_0,axiom,
% 2.91/2.97 ( ~ class_Orderings_Olinorder(T_a)
% 2.91/2.97 | c_lessequals(V_y,V_x,T_a)
% 2.91/2.97 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_nat__le__linear_0,axiom,
% 2.91/2.97 ( c_lessequals(V_n,V_m,tc_nat)
% 2.91/2.97 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_Suc__le__mono_1,axiom,
% 2.91/2.97 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_Suc__le__mono_0,axiom,
% 2.91/2.97 ( c_lessequals(V_n,V_m,tc_nat)
% 2.91/2.97 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insert__mono_0,axiom,
% 2.91/2.97 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_subset__image__iff_2,axiom,
% 2.91/2.97 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 2.91/2.97 | c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_image__mono_0,axiom,
% 2.91/2.97 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_le__eqI_1,axiom,
% 2.91/2.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.91/2.97 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.91/2.97 | c_lessequals(V_y,V_x,T_a)
% 2.91/2.97 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_le__eqI_0,axiom,
% 2.91/2.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.91/2.97 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.91/2.97 | c_lessequals(V_y_H,V_x_H,T_a)
% 2.91/2.97 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insert__iff_2,axiom,
% 2.91/2.97 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)
% 2.91/2.97 | ~ c_in(V_a,V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insertCI_0,axiom,
% 2.91/2.97 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)
% 2.91/2.97 | ~ c_in(V_a,V_B,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_rev__finite__subset_0,axiom,
% 2.91/2.97 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_rev__predicate1D_0,axiom,
% 2.91/2.97 ( hBOOL(hAPP(V_Q,V_x))
% 2.91/2.97 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_finite__subset_0,axiom,
% 2.91/2.97 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_order__eq__refl_0,axiom,
% 2.91/2.97 ( ~ class_Orderings_Opreorder(T_a)
% 2.91/2.97 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_order__eq__iff_0,axiom,
% 2.91/2.97 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.97 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_predicate1D_0,axiom,
% 2.91/2.97 ( hBOOL(hAPP(V_Q,V_x))
% 2.91/2.97 | ~ hBOOL(hAPP(V_P,V_x))
% 2.91/2.97 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_subset__trans_0,axiom,
% 2.91/2.97 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_subset__refl_0,axiom,
% 2.91/2.97 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_subset__iff_0,axiom,
% 2.91/2.97 ( c_in(V_t,V_B,T_a)
% 2.91/2.97 | ~ c_in(V_t,V_A,T_a)
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_set__rev__mp_0,axiom,
% 2.91/2.97 ( c_in(V_x,V_B,T_a)
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_in(V_x,V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_equalityE_0,axiom,
% 2.91/2.97 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_eq__imp__le_0,axiom,
% 2.91/2.97 c_lessequals(V_x,V_x,tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_le__trans_0,axiom,
% 2.91/2.97 ( c_lessequals(V_i,V_k,tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_j,V_k,tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_subsetD_0,axiom,
% 2.91/2.97 ( c_in(V_c,V_B,T_a)
% 2.91/2.97 | ~ c_in(V_c,V_A,T_a)
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_le__refl_0,axiom,
% 2.91/2.97 c_lessequals(V_n,V_n,tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_set__mp_0,axiom,
% 2.91/2.97 ( c_in(V_x,V_B,T_a)
% 2.91/2.97 | ~ c_in(V_x,V_A,T_a)
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_order__trans_0,axiom,
% 2.91/2.97 ( ~ class_Orderings_Opreorder(T_a)
% 2.91/2.97 | c_lessequals(V_x,V_z,T_a)
% 2.91/2.97 | ~ c_lessequals(V_y,V_z,T_a)
% 2.91/2.97 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_xt1_I6_J_0,axiom,
% 2.91/2.97 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.97 | c_lessequals(V_z,V_x,T_a)
% 2.91/2.97 | ~ c_lessequals(V_z,V_y,T_a)
% 2.91/2.97 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_n__not__Suc__n_0,axiom,
% 2.91/2.97 V_n != c_Suc(V_n) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_Suc__n__not__n_0,axiom,
% 2.91/2.97 c_Suc(V_n) != V_n ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insert__subset_2,axiom,
% 2.91/2.97 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_in(V_x,V_B,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_Suc__n__not__le__n_0,axiom,
% 2.91/2.97 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insert__code_1,axiom,
% 2.91/2.97 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_le__SucI_0,axiom,
% 2.91/2.97 ( c_lessequals(V_m,c_Suc(V_n),tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_Suc__leD_0,axiom,
% 2.91/2.97 ( c_lessequals(V_m,V_n,tc_nat)
% 2.91/2.97 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_image__insert_0,axiom,
% 2.91/2.97 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_card__insert__if_0,axiom,
% 2.91/2.97 ( c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Finite__Set_Ocard(V_A,T_a)
% 2.91/2.97 | ~ c_in(V_x,V_A,T_a)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_finite__imageI_0,axiom,
% 2.91/2.97 ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_order__antisym__conv_0,axiom,
% 2.91/2.97 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.97 | V_x = V_y
% 2.91/2.97 | ~ c_lessequals(V_x,V_y,T_a)
% 2.91/2.97 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_order__antisym_0,axiom,
% 2.91/2.97 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.97 | V_x = V_y
% 2.91/2.97 | ~ c_lessequals(V_y,V_x,T_a)
% 2.91/2.97 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_order__eq__iff_2,axiom,
% 2.91/2.97 ( ~ class_Orderings_Oorder(T_a)
% 2.91/2.97 | V_x = V_y
% 2.91/2.97 | ~ c_lessequals(V_y,V_x,T_a)
% 2.91/2.97 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_set__eq__subset_2,axiom,
% 2.91/2.97 ( V_A = V_B
% 2.91/2.97 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_le__antisym_0,axiom,
% 2.91/2.97 ( V_m = V_n
% 2.91/2.97 | ~ c_lessequals(V_n,V_m,tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_equalityI_0,axiom,
% 2.91/2.97 ( V_A = V_B
% 2.91/2.97 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insertE_0,axiom,
% 2.91/2.97 ( c_in(V_a,V_A,T_a)
% 2.91/2.97 | V_a = V_b
% 2.91/2.97 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_card__seteq_0,axiom,
% 2.91/2.97 ( V_A = V_B
% 2.91/2.97 | ~ c_lessequals(c_Finite__Set_Ocard(V_B,T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_diff__Suc__Suc_0,axiom,
% 2.91/2.97 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) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_nat_Oinject_0,axiom,
% 2.91/2.97 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 2.91/2.97 | V_nat = V_nat_H ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_Suc__inject_0,axiom,
% 2.91/2.97 ( c_Suc(V_x) != c_Suc(V_y)
% 2.91/2.97 | V_x = V_y ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_card__insert__le_0,axiom,
% 2.91/2.97 ( c_lessequals(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a),tc_nat)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_finite__insert_1,axiom,
% 2.91/2.97 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_finite__insert_0,axiom,
% 2.91/2.97 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_subset__insertI_0,axiom,
% 2.91/2.97 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_Suc__diff__le_0,axiom,
% 2.91/2.97 ( 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))
% 2.91/2.97 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insert__code_0,axiom,
% 2.91/2.97 ( hBOOL(hAPP(V_A,V_x))
% 2.91/2.97 | V_y = V_x
% 2.91/2.97 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insert__absorb2_0,axiom,
% 2.91/2.97 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_subset__insertI2_0,axiom,
% 2.91/2.97 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insert__subset_1,axiom,
% 2.91/2.97 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_finite__surj_0,axiom,
% 2.91/2.97 ( c_Finite__Set_Ofinite(V_B,T_b)
% 2.91/2.97 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_image__subset__iff_0,axiom,
% 2.91/2.97 ( c_in(hAPP(V_f,V_x),V_B,T_a)
% 2.91/2.97 | ~ c_in(V_x,V_A,T_b)
% 2.91/2.97 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insert__iff_1,axiom,
% 2.91/2.97 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insertI1_0,axiom,
% 2.91/2.97 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insertCI_1,axiom,
% 2.91/2.97 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insert__commute_0,axiom,
% 2.91/2.97 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_mem__def_1,axiom,
% 2.91/2.97 ( c_in(V_x,V_S,T_a)
% 2.91/2.97 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_mem__def_0,axiom,
% 2.91/2.97 ( hBOOL(hAPP(V_S,V_x))
% 2.91/2.97 | ~ c_in(V_x,V_S,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_card__insert__if_1,axiom,
% 2.91/2.97 ( c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Suc(c_Finite__Set_Ocard(V_A,T_a))
% 2.91/2.97 | c_in(V_x,V_A,T_a)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_diff__le__mono2_0,axiom,
% 2.91/2.97 ( 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)
% 2.91/2.97 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_diff__le__mono_0,axiom,
% 2.91/2.97 ( 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)
% 2.91/2.97 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_le__diff__iff_1,axiom,
% 2.91/2.97 ( 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)
% 2.91/2.97 | ~ c_lessequals(V_m,V_n,tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_k,V_n,tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_le__diff__iff_0,axiom,
% 2.91/2.97 ( c_lessequals(V_m,V_n,tc_nat)
% 2.91/2.97 | ~ 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)
% 2.91/2.97 | ~ c_lessequals(V_k,V_n,tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_eq__eqI_1,axiom,
% 2.91/2.97 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.91/2.97 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 2.91/2.97 | V_xa = V_y ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_eq__eqI_0,axiom,
% 2.91/2.97 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.91/2.97 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.91/2.97 | V_x_H = V_y_H ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_eq__diff__iff_0,axiom,
% 2.91/2.97 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_k,V_n,tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_k,V_m,tc_nat)
% 2.91/2.97 | V_m = V_n ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_diff__le__self_0,axiom,
% 2.91/2.97 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_Nat_Odiff__diff__eq_0,axiom,
% 2.91/2.97 ( 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)
% 2.91/2.97 | ~ c_lessequals(V_k,V_n,tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_diff__commute_0,axiom,
% 2.91/2.97 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) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insert__subset_0,axiom,
% 2.91/2.97 ( c_in(V_x,V_B,T_a)
% 2.91/2.97 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_not__less__eq__eq_1,axiom,
% 2.91/2.97 ( ~ c_lessequals(V_m,V_n,tc_nat)
% 2.91/2.97 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_not__less__eq__eq_0,axiom,
% 2.91/2.97 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 2.91/2.97 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insert__code_2,axiom,
% 2.91/2.97 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 2.91/2.97 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insert__image_0,axiom,
% 2.91/2.97 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b)
% 2.91/2.97 | ~ c_in(V_x,V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_subset__insert__iff_2,axiom,
% 2.91/2.97 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | c_in(V_x,V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_subset__insert__iff_1,axiom,
% 2.91/2.97 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | c_in(V_x,V_A,T_a)
% 2.91/2.97 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_subset__insert_1,axiom,
% 2.91/2.97 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | c_in(V_x,V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_subset__insert_0,axiom,
% 2.91/2.97 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.91/2.97 | c_in(V_x,V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insert__ident_0,axiom,
% 2.91/2.97 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 2.91/2.97 | c_in(V_x,V_B,T_a)
% 2.91/2.97 | c_in(V_x,V_A,T_a)
% 2.91/2.97 | V_A = V_B ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_Suc__diff__diff_0,axiom,
% 2.91/2.97 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) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_insert__absorb_0,axiom,
% 2.91/2.97 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 2.91/2.97 | ~ c_in(V_a,V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_le__Suc__eq_2,axiom,
% 2.91/2.97 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_card__mono_0,axiom,
% 2.91/2.97 ( c_lessequals(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_a),tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_card__image__le_0,axiom,
% 2.91/2.97 ( c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b),c_Finite__Set_Ocard(V_A,T_a),tc_nat)
% 2.91/2.97 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_finite_0,axiom,
% 2.91/2.97 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 2.91/2.97 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_diff__diff__cancel_0,axiom,
% 2.91/2.97 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i
% 2.91/2.97 | ~ c_lessequals(V_i,V_n,tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_le__SucE_0,axiom,
% 2.91/2.97 ( V_m = c_Suc(V_n)
% 2.91/2.97 | c_lessequals(V_m,V_n,tc_nat)
% 2.91/2.97 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_rev__image__eqI_0,axiom,
% 2.91/2.97 ( ~ c_in(V_x,V_A,T_aa)
% 2.91/2.97 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_image__iff_2,axiom,
% 2.91/2.97 ( ~ c_in(V_x,V_A,T_b)
% 2.91/2.97 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_image__eqI_0,axiom,
% 2.91/2.97 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)
% 2.91/2.97 | ~ c_in(V_x,V_A,T_b) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_imageI_0,axiom,
% 2.91/2.97 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 2.91/2.97 | ~ c_in(V_x,V_A,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_le__funD_0,axiom,
% 2.91/2.97 ( ~ class_HOL_Oord(T_b)
% 2.91/2.97 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 2.91/2.97 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_conjecture_0,negated_conjecture,
% 2.91/2.97 c_Finite__Set_Ofinite(v_U,tc_Com_Opname) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_conjecture_1,negated_conjecture,
% 2.91/2.97 c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_conjecture_2,negated_conjecture,
% 2.91/2.97 c_lessequals(c_Suc(v_na),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_conjecture_3,negated_conjecture,
% 2.91/2.97 c_Finite__Set_Ocard(v_G,t_a) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_conjecture_4,negated_conjecture,
% 2.91/2.97 c_in(v_pn,v_U,tc_Com_Opname) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_conjecture_5,negated_conjecture,
% 2.91/2.97 ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_conjecture_6,negated_conjecture,
% 2.91/2.97 ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 2.91/2.97 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 2.91/2.97 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 2.91/2.97 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 2.91/2.97 | ~ class_Lattices_Olattice(T_1) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 2.91/2.97 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 2.91/2.97 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
% 2.91/2.97 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))
% 2.91/2.97 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 2.91/2.97 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 2.91/2.97 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 2.91/2.97 | ~ class_Orderings_Opreorder(T_1) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 2.91/2.97 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 2.91/2.97 | ~ class_Lattices_Olattice(T_1) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 2.91/2.97 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 2.91/2.97 | ~ class_Orderings_Oorder(T_1) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_fun__Orderings_Otop,axiom,
% 2.91/2.97 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 2.91/2.97 | ~ class_Orderings_Otop(T_1) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_fun__Orderings_Obot,axiom,
% 2.91/2.97 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 2.91/2.97 | ~ class_Orderings_Obot(T_1) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_fun__HOL_Oord,axiom,
% 2.91/2.97 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 2.91/2.97 | ~ class_HOL_Oord(T_1) ) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 2.91/2.97 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 2.91/2.97 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 2.91/2.97 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 2.91/2.97 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 2.91/2.97 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 2.91/2.97 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 2.91/2.97 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 2.91/2.97 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 2.91/2.97 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 2.91/2.97 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 2.91/2.97 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 2.91/2.97 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 2.91/2.97 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 2.91/2.97 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 2.91/2.97 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 2.91/2.97 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 2.91/2.97 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 2.91/2.97 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 2.91/2.97 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 2.91/2.97 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 2.91/2.97 class_Lattices_Olower__semilattice(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 2.91/2.97 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 2.91/2.97 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 2.91/2.97 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 2.91/2.97 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 2.91/2.97 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 2.91/2.97 class_Ring__and__Field_Osemiring(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 2.91/2.97 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 2.91/2.97 class_Divides_Osemiring__div(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 2.91/2.97 class_Nat_Osemiring__char__0(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom,
% 2.91/2.97 class_Ring__and__Field_Odvd(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 2.91/2.97 class_Orderings_Opreorder(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 2.91/2.97 class_Orderings_Olinorder(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 2.91/2.97 class_Lattices_Olattice(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 2.91/2.97 class_Orderings_Oorder(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__Orderings_Obot,axiom,
% 2.91/2.97 class_Orderings_Obot(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_nat__HOL_Oord,axiom,
% 2.91/2.97 class_HOL_Oord(tc_nat) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 2.91/2.97 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 2.91/2.97 class_Lattices_Olower__semilattice(tc_bool) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 2.91/2.97 class_Lattices_Obounded__lattice(tc_bool) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
% 2.91/2.97 class_Finite__Set_Ofinite_Ofinite(tc_bool) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 2.91/2.97 class_Orderings_Opreorder(tc_bool) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 2.91/2.97 class_Lattices_Olattice(tc_bool) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 2.91/2.97 class_Orderings_Oorder(tc_bool) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_bool__Orderings_Otop,axiom,
% 2.91/2.97 class_Orderings_Otop(tc_bool) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_bool__Orderings_Obot,axiom,
% 2.91/2.97 class_Orderings_Obot(tc_bool) ).
% 2.91/2.97
% 2.91/2.97 cnf(clsarity_bool__HOL_Oord,axiom,
% 2.91/2.97 class_HOL_Oord(tc_bool) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 2.91/2.97 c_fequal(V_x,V_x,T_a) ).
% 2.91/2.97
% 2.91/2.97 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 2.91/2.97 ( V_X = V_Y
% 2.91/2.97 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 2.91/2.97
% 2.91/2.97 %------------------------------------------------------------------------------
% 2.91/2.97 %-------------------------------------------
% 2.91/2.97 % Proof found
% 2.91/2.97 % SZS status Theorem for theBenchmark
% 2.91/2.97 % SZS output start Proof
% 2.91/2.97 %ClaNum:1308(EqnAxiom:188)
% 2.91/2.97 %VarNum:7672(SingletonVarNum:2765)
% 2.91/2.97 %MaxLitNum:7
% 2.91/2.97 %MaxfuncDepth:4
% 2.91/2.97 %SharedTerms:90
% 2.91/2.97 %goalClause: 236 237 362 375 376 401 414
% 2.91/2.97 %singleGoalClaCount:7
% 2.91/2.97 [189]P1(a1)
% 2.91/2.97 [190]P2(a1)
% 2.91/2.97 [191]P3(a1)
% 2.91/2.97 [192]P37(a1)
% 2.91/2.97 [193]P37(a2)
% 2.91/2.97 [194]P38(a1)
% 2.91/2.97 [195]P38(a2)
% 2.91/2.97 [196]P13(a1)
% 2.91/2.97 [197]P14(a1)
% 2.91/2.97 [198]P27(a1)
% 2.91/2.97 [199]P45(a1)
% 2.91/2.97 [200]P65(a1)
% 2.91/2.97 [201]P46(a1)
% 2.91/2.97 [202]P28(a1)
% 2.91/2.97 [203]P29(a1)
% 2.91/2.97 [204]P47(a1)
% 2.91/2.97 [205]P15(a2)
% 2.91/2.97 [206]P19(a1)
% 2.91/2.97 [207]P48(a1)
% 2.91/2.97 [208]P39(a1)
% 2.91/2.97 [209]P20(a1)
% 2.91/2.97 [210]P20(a2)
% 2.91/2.97 [211]P21(a1)
% 2.91/2.97 [212]P21(a2)
% 2.91/2.97 [213]P58(a1)
% 2.91/2.97 [214]P59(a1)
% 2.91/2.97 [215]P23(a1)
% 2.91/2.97 [216]P26(a1)
% 2.91/2.97 [217]P49(a1)
% 2.91/2.97 [218]P50(a1)
% 2.91/2.97 [219]P51(a1)
% 2.91/2.97 [220]P52(a1)
% 2.91/2.97 [221]P60(a1)
% 2.91/2.97 [222]P30(a1)
% 2.91/2.97 [223]P36(a1)
% 2.91/2.97 [224]P4(a2)
% 2.91/2.97 [225]P41(a2)
% 2.91/2.97 [226]P34(a1)
% 2.91/2.97 [227]P53(a1)
% 2.91/2.97 [228]P55(a1)
% 2.91/2.97 [229]P40(a1)
% 2.91/2.97 [230]P40(a2)
% 2.91/2.97 [231]P16(a2)
% 2.91/2.97 [232]P17(a1)
% 2.91/2.97 [233]P17(a2)
% 2.91/2.97 [234]P24(a1)
% 2.91/2.97 [235]P42(a1)
% 2.91/2.97 [236]P5(a42,a3)
% 2.91/2.97 [237]P6(a44,a42,a3)
% 2.91/2.97 [362]P11(a43,f37(a45,a42,a3,a40),f41(a40,a2))
% 2.91/2.97 [401]~P6(f35(a45,a44),a43,a40)
% 2.91/2.97 [375]P11(f25(a46,f26(a1),a1),f5(f37(a45,a42,a3,a40),a40),a1)
% 2.91/2.97 [414]~P11(f36(f35(a45,a44),a43,a40),f37(a45,a42,a3,a40),f41(a40,a2))
% 2.91/2.97 [342]E(f27(f25(f24(a1),f26(a1),a1),f25(f24(a1),f26(a1),a1),a1),f25(f24(a1),f26(a1),a1))
% 2.91/2.97 [376]E(f4(f5(f37(a45,a42,a3,a40),a40),f25(a46,f26(a1),a1),a1),f5(a43,a40))
% 2.91/2.97 [238]P7(x2381,x2381,a1)
% 2.91/2.97 [240]P11(x2401,x2401,a1)
% 2.91/2.97 [390]~P8(x3901,x3901,a1)
% 2.91/2.97 [242]E(f4(x2421,x2421,a1),f24(a1))
% 2.91/2.97 [243]P11(f24(a1),x2431,a1)
% 2.91/2.97 [282]P11(x2821,f27(x2821,x2821,a1),a1)
% 2.91/2.97 [393]~P8(x3931,f24(a1),a1)
% 2.91/2.97 [245]E(f27(x2451,f26(a1),a1),x2451)
% 2.91/2.97 [246]E(f25(x2461,f24(a1),a1),x2461)
% 2.91/2.97 [247]E(f4(x2471,f24(a1),a1),x2471)
% 2.91/2.97 [248]E(f27(f26(a1),x2481,a1),x2481)
% 2.91/2.97 [249]E(f25(f24(a1),x2491,a1),x2491)
% 2.91/2.97 [250]E(f27(x2501,f24(a1),a1),f24(a1))
% 2.91/2.97 [251]E(f27(f24(a1),x2511,a1),f24(a1))
% 2.91/2.97 [252]E(f4(f24(a1),x2521,a1),f24(a1))
% 2.91/2.97 [259]P5(f28(f41(x2591,a2)),x2591)
% 2.91/2.97 [296]P8(x2961,f25(x2961,f26(a1),a1),a1)
% 2.91/2.97 [298]P8(f24(a1),f25(x2981,f26(a1),a1),a1)
% 2.91/2.97 [300]P7(f25(f24(a1),f26(a1),a1),x3001,a1)
% 2.91/2.97 [343]P11(x3431,f27(x3431,f27(x3431,x3431,a1),a1),a1)
% 2.91/2.97 [391]~E(f34(f41(x3911,a2)),f28(f41(x3911,a2)))
% 2.91/2.97 [395]~E(f25(x3951,f26(a1),a1),x3951)
% 2.91/2.97 [399]~E(f25(x3991,f26(a1),a1),f24(a1))
% 2.91/2.97 [412]~P11(f25(x4121,f26(a1),a1),x4121,a1)
% 2.91/2.97 [260]E(f5(f28(f41(x2601,a2)),x2601),f24(a1))
% 2.91/2.97 [301]E(f6(x3011,f25(f24(a1),f26(a1),a1),a1),f24(a1))
% 2.91/2.97 [413]~P8(f24(a1),f5(f28(f41(x4131,a2)),x4131),a1)
% 2.91/2.97 [241]P10(x2411,x2411,x2412)
% 2.91/2.97 [262]P11(x2621,x2621,f41(x2622,a2))
% 2.91/2.97 [265]E(f27(x2651,x2652,a1),f27(x2652,x2651,a1))
% 2.91/2.97 [266]E(f25(x2661,x2662,a1),f25(x2662,x2661,a1))
% 2.91/2.97 [283]P11(x2831,f25(x2832,x2831,a1),a1)
% 2.91/2.97 [285]P11(x2851,f25(x2851,x2852,a1),a1)
% 2.91/2.97 [286]P11(f4(x2861,x2862,a1),x2861,a1)
% 2.91/2.97 [287]P11(f6(x2871,x2872,a1),x2871,a1)
% 2.91/2.97 [402]~P8(x4021,x4021,f41(x4022,a2))
% 2.91/2.97 [410]~P8(f25(x4101,x4102,a1),x4102,a1)
% 2.91/2.97 [411]~P8(f25(x4111,x4112,a1),x4111,a1)
% 2.91/2.97 [263]E(f29(x2631,x2631,f41(x2632,a2)),x2631)
% 2.91/2.97 [264]E(f4(x2641,x2641,f41(x2642,a2)),f28(f41(x2642,a2)))
% 2.91/2.97 [267]P6(x2671,f34(f41(x2672,a2)),x2672)
% 2.91/2.97 [268]E(f27(x2681,f24(a1),a1),f27(x2682,f24(a1),a1))
% 2.91/2.97 [270]E(f27(f24(a1),x2701,a1),f27(f24(a1),x2702,a1))
% 2.91/2.97 [271]P11(x2711,f34(f41(x2712,a2)),f41(x2712,a2))
% 2.91/2.97 [272]P11(f28(f41(x2721,a2)),x2722,f41(x2721,a2))
% 2.91/2.97 [273]E(f29(x2731,f34(f41(x2732,a2)),f41(x2732,a2)),x2731)
% 2.91/2.97 [274]E(f4(x2741,f28(f41(x2742,a2)),f41(x2742,a2)),x2741)
% 2.91/2.97 [275]E(f29(f34(f41(x2751,a2)),x2752,f41(x2751,a2)),x2752)
% 2.91/2.97 [278]E(f29(x2781,f28(f41(x2782,a2)),f41(x2782,a2)),f28(f41(x2782,a2)))
% 2.91/2.97 [279]E(f4(x2791,f34(f41(x2792,a2)),f41(x2792,a2)),f28(f41(x2792,a2)))
% 2.91/2.97 [280]E(f29(f28(f41(x2801,a2)),x2802,f41(x2801,a2)),f28(f41(x2801,a2)))
% 2.91/2.97 [281]E(f4(f28(f41(x2811,a2)),x2812,f41(x2811,a2)),f28(f41(x2811,a2)))
% 2.91/2.97 [288]E(f4(f25(x2881,x2882,a1),x2882,a1),x2881)
% 2.91/2.97 [289]E(f4(f25(x2891,x2892,a1),x2891,a1),x2892)
% 2.91/2.97 [290]E(f4(x2901,f25(x2901,x2902,a1),a1),f24(a1))
% 2.91/2.97 [291]E(f6(f27(x2911,x2912,a1),x2911,a1),f24(a1))
% 2.91/2.97 [316]P8(f4(x3161,x3162,a1),f25(x3161,f26(a1),a1),a1)
% 2.91/2.97 [318]P7(f27(f24(a1),x3181,a1),f27(f24(a1),x3182,a1),a1)
% 2.91/2.97 [344]P8(x3441,f25(f25(x3442,x3441,a1),f26(a1),a1),a1)
% 2.91/2.97 [346]P8(x3461,f25(f25(x3461,x3462,a1),f26(a1),a1),a1)
% 2.91/2.97 [407]~P6(x4071,f28(f41(x4072,a2)),x4072)
% 2.91/2.97 [408]~P8(x4081,f28(f41(x4082,a2)),f41(x4082,a2))
% 2.91/2.97 [276]P66(f35(f34(f41(x2761,a2)),x2762))
% 2.91/2.97 [330]E(f27(x3301,f25(x3302,f26(a1),a1),a1),f25(x3301,f27(x3301,x3302,a1),a1))
% 2.91/2.97 [331]E(f27(f25(x3311,f26(a1),a1),x3312,a1),f25(x3312,f27(x3311,x3312,a1),a1))
% 2.91/2.97 [334]E(f25(f25(x3341,f26(a1),a1),x3342,a1),f25(f25(x3341,x3342,a1),f26(a1),a1))
% 2.91/2.97 [335]E(f4(f4(x3351,f26(a1),a1),x3352,a1),f4(x3351,f25(x3352,f26(a1),a1),a1))
% 2.91/2.97 [336]E(f25(f25(x3361,f26(a1),a1),x3362,a1),f25(x3361,f25(x3362,f26(a1),a1),a1))
% 2.91/2.97 [361]E(f6(f25(f6(x3611,x3612,a1),f26(a1),a1),x3612,a1),f6(f25(x3611,f26(a1),a1),x3612,a1))
% 2.91/2.97 [409]~P66(f35(f28(f41(x4091,a2)),x4092))
% 2.91/2.97 [294]P6(x2941,f36(x2941,x2942,x2943),x2943)
% 2.91/2.97 [304]P11(x3041,f36(x3042,x3041,x3043),f41(x3043,a2))
% 2.91/2.97 [277]E(f29(x2771,x2772,f41(x2773,a2)),f29(x2772,x2771,f41(x2773,a2)))
% 2.91/2.97 [305]E(f36(x3051,f36(x3051,x3052,x3053),x3053),f36(x3051,x3052,x3053))
% 2.91/2.97 [306]P11(f29(x3061,x3062,f41(x3063,a2)),x3062,f41(x3063,a2))
% 2.91/2.97 [307]P11(f29(x3071,x3072,f41(x3073,a2)),x3071,f41(x3073,a2))
% 2.91/2.97 [308]P11(f4(x3081,x3082,f41(x3083,a2)),x3081,f41(x3083,a2))
% 2.91/2.97 [313]P66(f35(f36(x3131,x3132,x3133),x3131))
% 2.91/2.97 [314]E(f29(x3141,f4(x3142,x3141,f41(x3143,a2)),f41(x3143,a2)),f28(f41(x3143,a2)))
% 2.91/2.97 [320]P9(x3201,f28(f41(x3202,a2)),x3202,x3203)
% 2.91/2.97 [321]E(f29(x3211,f29(x3211,x3212,f41(x3213,a2)),f41(x3213,a2)),f29(x3211,x3212,f41(x3213,a2)))
% 2.91/2.97 [322]E(f4(f4(x3221,x3222,f41(x3223,a2)),x3222,f41(x3223,a2)),f4(x3221,x3222,f41(x3223,a2)))
% 2.91/2.97 [323]E(f25(x3231,f25(x3232,x3233,a1),a1),f25(x3232,f25(x3231,x3233,a1),a1))
% 2.91/2.97 [324]E(f27(f27(x3241,x3242,a1),x3243,a1),f27(x3241,f27(x3242,x3243,a1),a1))
% 2.91/2.97 [325]E(f25(f25(x3251,x3252,a1),x3253,a1),f25(x3251,f25(x3252,x3253,a1),a1))
% 2.91/2.97 [326]E(f4(f4(x3261,x3262,a1),x3263,a1),f4(x3261,f25(x3262,x3263,a1),a1))
% 2.91/2.97 [327]E(f4(f4(x3271,x3272,a1),x3273,a1),f4(f4(x3271,x3273,a1),x3272,a1))
% 2.91/2.97 [328]E(f4(f25(x3281,x3282,a1),f25(x3283,x3282,a1),a1),f4(x3281,x3283,a1))
% 2.91/2.97 [329]E(f4(f25(x3291,x3292,a1),f25(x3291,x3293,a1),a1),f4(x3292,x3293,a1))
% 2.91/2.97 [348]E(f25(f27(x3481,x3482,a1),f27(x3481,x3483,a1),a1),f27(x3481,f25(x3482,x3483,a1),a1))
% 2.91/2.97 [349]E(f4(f27(x3491,x3492,a1),f27(x3491,x3493,a1),a1),f27(x3491,f4(x3492,x3493,a1),a1))
% 2.91/2.97 [350]E(f6(f27(x3501,x3502,a1),f27(x3501,x3503,a1),a1),f27(x3501,f6(x3502,x3503,a1),a1))
% 2.91/2.97 [351]E(f25(f27(x3511,x3512,a1),f27(x3513,x3512,a1),a1),f27(f25(x3511,x3513,a1),x3512,a1))
% 2.91/2.97 [352]E(f4(f27(x3521,x3522,a1),f27(x3523,x3522,a1),a1),f27(f4(x3521,x3523,a1),x3522,a1))
% 2.91/2.97 [353]E(f6(f27(x3531,x3532,a1),f27(x3533,x3532,a1),a1),f27(f6(x3531,x3533,a1),x3532,a1))
% 2.91/2.97 [403]~E(f36(x4031,x4032,x4033),f28(f41(x4033,a2)))
% 2.91/2.97 [404]~E(f28(f41(x4041,a2)),f36(x4042,x4043,x4041))
% 2.91/2.97 [339]E(f39(x3391,f28(f41(x3392,a2)),x3393,x3392),f28(f41(x3393,a2)))
% 2.91/2.97 [340]E(f39(x3401,f34(f41(x3402,a2)),x3403,x3402),f34(f41(x3403,a2)))
% 2.91/2.97 [341]E(f37(x3411,f28(f41(x3412,a2)),x3412,x3413),f28(f41(x3413,a2)))
% 2.91/2.97 [347]E(f6(f25(f27(x3471,x3472,a1),x3473,a1),x3472,a1),f6(x3473,x3472,a1))
% 2.91/2.97 [367]E(f4(f4(f25(x3671,f26(a1),a1),x3672,a1),f25(x3673,f26(a1),a1),a1),f4(f4(x3671,x3672,a1),x3673,a1))
% 2.91/2.97 [369]E(f36(x3691,f4(x3692,f36(x3691,f28(f41(x3693,a2)),x3693),f41(x3693,a2)),x3693),f36(x3691,x3692,x3693))
% 2.91/2.97 [373]E(f6(f25(f25(f27(x3731,x3732,a1),x3733,a1),f26(a1),a1),x3732,a1),f6(f25(x3733,f26(a1),a1),x3732,a1))
% 2.91/2.97 [332]E(f36(x3321,f36(x3322,x3323,x3324),x3324),f36(x3322,f36(x3321,x3323,x3324),x3324))
% 2.91/2.97 [354]E(f29(x3541,f29(x3542,x3543,f41(x3544,a2)),f41(x3544,a2)),f29(x3542,f29(x3541,x3543,f41(x3544,a2)),f41(x3544,a2)))
% 2.91/2.97 [355]E(f29(f29(x3551,x3552,f41(x3553,a2)),x3554,f41(x3553,a2)),f29(x3551,f29(x3552,x3554,f41(x3553,a2)),f41(x3553,a2)))
% 2.91/2.97 [356]E(f29(x3561,f4(x3562,x3563,f41(x3564,a2)),f41(x3564,a2)),f4(f29(x3561,x3562,f41(x3564,a2)),x3563,f41(x3564,a2)))
% 2.91/2.97 [363]E(f4(f29(x3631,x3632,f41(x3633,a2)),f29(x3631,x3634,f41(x3633,a2)),f41(x3633,a2)),f29(x3631,f4(x3632,x3634,f41(x3633,a2)),f41(x3633,a2)))
% 2.91/2.97 [364]E(f4(f29(x3641,x3642,f41(x3643,a2)),f29(x3644,x3642,f41(x3643,a2)),f41(x3643,a2)),f29(f4(x3641,x3644,f41(x3643,a2)),x3642,f41(x3643,a2)))
% 2.91/2.97 [365]E(f4(f29(x3651,x3652,f41(x3653,a2)),f29(x3654,x3652,f41(x3653,a2)),f41(x3653,a2)),f4(f29(x3651,x3652,f41(x3653,a2)),x3654,f41(x3653,a2)))
% 2.91/2.97 [366]E(f4(f4(x3661,x3662,f41(x3663,a2)),f36(x3664,f28(f41(x3663,a2)),x3663),f41(x3663,a2)),f4(x3661,f36(x3664,x3662,x3663),f41(x3663,a2)))
% 2.91/2.97 [371]E(f4(f4(x3711,f36(x3712,f28(f41(x3713,a2)),x3713),f41(x3713,a2)),x3714,f41(x3713,a2)),f4(x3711,f36(x3712,x3714,x3713),f41(x3713,a2)))
% 2.91/2.97 [379]E(f21(x3791,x3792,f35(x3791,x3792),x3793,x3794),x3791)
% 2.91/2.97 [380]E(f37(x3801,f39(x3801,x3802,x3803,x3804),x3803,x3804),f29(x3802,f37(x3801,f34(f41(x3803,a2)),x3803,x3804),f41(x3804,a2)))
% 2.91/2.97 [383]P11(f37(x3831,f39(x3831,x3832,x3833,x3834),x3833,x3834),x3832,f41(x3834,a2))
% 2.91/2.97 [357]E(f29(f36(x3571,x3572,x3573),f36(x3571,x3574,x3573),f41(x3573,a2)),f36(x3571,f29(x3572,x3574,f41(x3573,a2)),x3573))
% 2.91/2.97 [368]P6(f35(x3681,x3682),f37(x3681,f34(f41(x3683,a2)),x3683,x3684),x3684)
% 2.91/2.97 [370]E(f25(f27(x3701,x3702,a1),f25(f27(x3703,x3702,a1),x3704,a1),a1),f25(f27(f25(x3701,x3703,a1),x3702,a1),x3704,a1))
% 2.91/2.97 [374]P6(x3741,f39(x3742,f36(f35(x3742,x3741),f28(f41(x3743,a2)),x3743),x3744,x3743),x3744)
% 2.91/2.97 [372]E(f37(x3721,f36(x3722,x3723,x3724),x3724,x3725),f36(f35(x3721,x3722),f37(x3721,x3723,x3724,x3725),x3725))
% 2.91/2.97 [385]E(f35(f21(x3851,x3852,x3853,x3854,x3855),x3852),x3853)
% 2.91/2.97 [381]E(f29(f39(x3811,x3812,x3813,x3814),f39(x3811,x3815,x3813,x3814),f41(x3813,a2)),f39(x3811,f29(x3812,x3815,f41(x3814,a2)),x3813,x3814))
% 2.91/2.97 [382]E(f4(f39(x3821,x3822,x3823,x3824),f39(x3821,x3825,x3823,x3824),f41(x3823,a2)),f39(x3821,f4(x3822,x3825,f41(x3824,a2)),x3823,x3824))
% 2.91/2.97 [386]P11(f37(x3861,f29(x3862,x3863,f41(x3864,a2)),x3864,x3865),f29(f37(x3861,x3862,x3864,x3865),f37(x3861,x3863,x3864,x3865),f41(x3865,a2)),f41(x3865,a2))
% 2.91/2.97 [387]P11(f4(f37(x3871,x3872,x3873,x3874),f37(x3871,x3875,x3873,x3874),f41(x3874,a2)),f37(x3871,f4(x3872,x3875,f41(x3873,a2)),x3873,x3874),f41(x3874,a2))
% 2.91/2.97 [388]E(f21(f21(x3881,x3882,x3883,x3884,x3885),x3882,x3886,x3884,x3885),f21(x3881,x3882,x3886,x3884,x3885))
% 2.91/2.97 [416]~P65(x4161)+~E(f26(x4161),f24(x4161))
% 2.91/2.97 [433]E(x4331,f24(a1))+P8(f24(a1),x4331,a1)
% 2.91/2.97 [477]~P49(x4771)+P8(f24(x4771),f26(x4771),x4771)
% 2.91/2.97 [478]~P49(x4781)+P11(f24(x4781),f26(x4781),x4781)
% 2.91/2.97 [491]E(x4911,f24(a1))+~P11(x4911,f24(a1),a1)
% 2.91/2.97 [492]E(x4921,f26(a1))+~P7(x4921,f26(a1),a1)
% 2.91/2.97 [516]~P49(x5161)+~P8(f26(x5161),f24(x5161),x5161)
% 2.91/2.97 [517]~P49(x5171)+~P11(f26(x5171),f24(x5171),x5171)
% 2.91/2.97 [418]~P45(x4181)+E(f32(f24(a1),x4181),f24(x4181))
% 2.91/2.97 [419]~P45(x4191)+E(f32(f26(a1),x4191),f26(x4191))
% 2.91/2.97 [481]~P32(x4811)+E(f25(f24(x4811),f24(x4811),x4811),f24(x4811))
% 2.91/2.97 [631]~P49(x6311)+P8(f24(x6311),f25(f26(x6311),f26(x6311),x6311),x6311)
% 2.91/2.97 [723]~P8(f24(a1),x7231,a1)+P7(f27(x7231,f26(a1),a1),x7231,a1)
% 2.91/2.97 [724]~P8(f24(a1),x7241,a1)+P7(f27(f26(a1),x7241,a1),x7241,a1)
% 2.91/2.97 [732]~P8(f24(a1),x7321,a1)+E(f25(f4(x7321,f26(a1),a1),f26(a1),a1),x7321)
% 2.91/2.97 [746]E(x7461,f24(a1))+~P8(x7461,f25(f24(a1),f26(a1),a1),a1)
% 2.91/2.97 [819]~P7(x8191,f25(f24(a1),f26(a1),a1),a1)+E(x8191,f25(f24(a1),f26(a1),a1))
% 2.91/2.97 [1059]~P8(f24(a1),x10591,a1)+E(f25(f4(x10591,f25(f24(a1),f26(a1),a1),a1),f26(a1),a1),x10591)
% 2.91/2.97 [760]~P5(f34(f41(x7601,a2)),x7601)+P8(f24(a1),f5(f34(f41(x7601,a2)),x7601),a1)
% 2.91/2.97 [822]~P57(x8221)+E(f25(f27(f24(x8221),f24(x8221),x8221),f27(f24(x8221),f24(x8221),x8221),x8221),f24(x8221))
% 2.91/2.97 [1160]~P57(x11601)+P11(f25(f27(f24(x11601),f24(x11601),x11601),f27(f24(x11601),f24(x11601),x11601),x11601),f24(x11601),x11601)
% 2.91/2.97 [1214]~P57(x12141)+~P8(f24(x12141),f25(f27(f24(x12141),f24(x12141),x12141),f27(f24(x12141),f24(x12141),x12141),x12141),x12141)
% 2.91/2.97 [417]~P16(x4172)+P5(x4171,x4172)
% 2.91/2.97 [434]~P1(x4342)+P7(x4341,x4341,x4342)
% 2.91/2.97 [435]~P37(x4352)+P11(x4351,x4351,x4352)
% 2.91/2.97 [436]~P38(x4362)+P11(x4361,x4361,x4362)
% 2.91/2.97 [494]~P8(x4942,x4942,x4941)+~P37(x4941)
% 2.91/2.97 [495]~P8(x4952,x4952,x4951)+~P38(x4951)
% 2.91/2.97 [496]~P8(x4962,x4962,x4961)+~P39(x4961)
% 2.91/2.97 [507]P11(x5072,x5071,a1)+P11(x5071,x5072,a1)
% 2.91/2.97 [538]~P8(x5381,x5382,a1)+P11(x5381,x5382,a1)
% 2.91/2.97 [420]P5(x4201,x4202)+E(f5(x4201,x4202),f24(a1))
% 2.91/2.97 [421]~P37(x4212)+P37(f41(x4211,x4212))
% 2.91/2.97 [422]~P38(x4222)+P38(f41(x4221,x4222))
% 2.91/2.97 [423]~P15(x4232)+P15(f41(x4231,x4232))
% 2.91/2.97 [424]~P21(x4242)+P20(f41(x4241,x4242))
% 2.91/2.97 [425]~P21(x4252)+P21(f41(x4251,x4252))
% 2.91/2.97 [426]~P4(x4262)+P4(f41(x4261,x4262))
% 2.91/2.97 [427]~P41(x4272)+P41(f41(x4271,x4272))
% 2.91/2.97 [428]~P40(x4282)+P40(f41(x4281,x4282))
% 2.91/2.97 [429]~P17(x4292)+P17(f41(x4291,x4292))
% 2.91/2.97 [437]~P25(x4372)+E(f27(x4371,x4371,x4372),x4371)
% 2.91/2.97 [438]~P20(x4382)+E(f29(x4381,x4381,x4382),x4381)
% 2.91/2.97 [439]~P22(x4392)+E(f4(x4391,x4391,x4392),f24(x4392))
% 2.91/2.97 [441]~P31(x4412)+E(f4(x4411,x4411,x4412),f24(x4412))
% 2.91/2.97 [442]~P3(x4422)+E(f6(x4421,x4421,x4422),f24(x4422))
% 2.91/2.97 [443]~P1(x4432)+P7(x4431,f24(x4432),x4432)
% 2.91/2.97 [444]~P41(x4442)+P11(x4441,f34(x4442),x4442)
% 2.91/2.97 [445]~P1(x4451)+P7(f26(x4451),x4452,x4451)
% 2.91/2.97 [446]~P40(x4461)+P11(f28(x4461),x4462,x4461)
% 2.91/2.97 [484]~E(f25(x4842,x4841,a1),x4842)+E(x4841,f24(a1))
% 2.91/2.97 [487]E(x4871,f24(a1))+~E(f25(x4872,x4871,a1),f24(a1))
% 2.91/2.97 [488]E(x4881,f26(a1))+~E(f27(x4882,x4881,a1),f26(a1))
% 2.91/2.97 [489]E(x4891,f24(a1))+~E(f25(x4891,x4892,a1),f24(a1))
% 2.91/2.97 [490]E(x4901,f26(a1))+~E(f27(x4901,x4902,a1),f26(a1))
% 2.91/2.97 [498]~P49(x4981)+P11(f24(x4981),f32(x4982,x4981),x4981)
% 2.91/2.97 [539]~P8(x5391,x5392,a1)+E(f6(x5391,x5392,a1),x5391)
% 2.91/2.97 [542]~P11(x5421,x5422,a1)+E(f4(x5421,x5422,a1),f24(a1))
% 2.91/2.97 [546]P11(x5461,x5462,a1)+~E(f4(x5461,x5462,a1),f24(a1))
% 2.91/2.97 [548]~P49(x5481)+~P8(f32(x5482,x5481),f24(x5481),x5481)
% 2.91/2.97 [549]P5(x5491,x5492)+~P8(f24(a1),f5(x5491,x5492),a1)
% 2.91/2.97 [594]~P57(x5941)+P11(f24(x5941),f27(x5942,x5942,x5941),x5941)
% 2.91/2.97 [691]~P7(x6911,x6912,a1)+P7(x6911,f25(x6912,x6911,a1),a1)
% 2.91/2.97 [704]~P8(x7042,x7041,a1)+P8(f24(a1),f4(x7041,x7042,a1),a1)
% 2.91/2.97 [706]P8(f6(x7061,x7062,a1),x7062,a1)+~P8(f24(a1),x7062,a1)
% 2.91/2.97 [707]P11(f6(x7071,x7072,a1),x7072,a1)+~P8(f24(a1),x7072,a1)
% 2.91/2.97 [752]~P57(x7521)+~P8(f27(x7522,x7522,x7521),f24(x7521),x7521)
% 2.91/2.97 [773]P7(x7731,x7732,a1)+~P7(x7731,f25(x7732,x7731,a1),a1)
% 2.91/2.97 [779]P8(x7791,x7792,a1)+~P8(f24(a1),f4(x7792,x7791,a1),a1)
% 2.91/2.97 [783]P8(f24(a1),x7831,a1)+~P8(f24(a1),f27(x7832,x7831,a1),a1)
% 2.91/2.97 [784]P8(f24(a1),x7841,a1)+~P8(f24(a1),f27(x7841,x7842,a1),a1)
% 2.91/2.97 [447]~P1(x4472)+E(f27(x4471,f26(x4472),x4472),x4471)
% 2.91/2.97 [448]~P28(x4482)+E(f27(x4481,f26(x4482),x4482),x4481)
% 2.91/2.97 [449]~P1(x4492)+E(f25(x4491,f24(x4492),x4492),x4491)
% 2.91/2.97 [450]~P13(x4502)+E(f25(x4501,f24(x4502),x4502),x4501)
% 2.91/2.97 [451]~P30(x4512)+E(f25(x4511,f24(x4512),x4512),x4511)
% 2.91/2.97 [452]~P15(x4522)+E(f29(x4521,f34(x4522),x4522),x4521)
% 2.91/2.97 [453]~P31(x4532)+E(f4(x4531,f24(x4532),x4532),x4531)
% 2.91/2.97 [454]~P3(x4542)+E(f6(x4541,f24(x4542),x4542),x4541)
% 2.91/2.97 [456]~P1(x4561)+E(f27(f26(x4561),x4562,x4561),x4562)
% 2.91/2.97 [457]~P28(x4571)+E(f27(f26(x4571),x4572,x4571),x4572)
% 2.91/2.97 [458]~P29(x4581)+E(f27(f26(x4581),x4582,x4581),x4582)
% 2.91/2.97 [460]~P1(x4601)+E(f25(f24(x4601),x4602,x4601),x4602)
% 2.91/2.97 [461]~P13(x4611)+E(f25(f24(x4611),x4612,x4611),x4612)
% 2.91/2.97 [462]~P30(x4621)+E(f25(f24(x4621),x4622,x4621),x4622)
% 2.91/2.97 [463]~P15(x4631)+E(f29(f34(x4631),x4632,x4631),x4632)
% 2.91/2.97 [464]~P1(x4642)+E(f27(x4641,f24(x4642),x4642),f24(x4642))
% 2.91/2.97 [465]~P62(x4652)+E(f27(x4651,f24(x4652),x4652),f24(x4652))
% 2.91/2.97 [466]~P52(x4662)+E(f27(x4661,f24(x4662),x4662),f24(x4662))
% 2.91/2.97 [467]~P15(x4672)+E(f29(x4671,f28(x4672),x4672),f28(x4672))
% 2.91/2.97 [468]~P3(x4682)+E(f6(x4681,f26(x4682),x4682),f24(x4682))
% 2.91/2.97 [470]~P1(x4701)+E(f27(f24(x4701),x4702,x4701),f24(x4701))
% 2.91/2.97 [471]~P62(x4711)+E(f27(f24(x4711),x4712,x4711),f24(x4711))
% 2.91/2.97 [472]~P52(x4721)+E(f27(f24(x4721),x4722,x4721),f24(x4721))
% 2.91/2.97 [473]~P15(x4731)+E(f29(f28(x4731),x4732,x4731),f28(x4731))
% 2.91/2.97 [474]~P3(x4741)+E(f6(f24(x4741),x4742,x4741),f24(x4741))
% 2.91/2.97 [500]P66(f35(x5001,x5002))+~P66(f35(x5001,f7(x5001)))
% 2.91/2.97 [611]~P49(x6112)+P8(x6111,f25(x6111,f26(x6112),x6112),x6112)
% 2.91/2.97 [632]~E(f5(x6321,x6322),f25(f24(a1),f26(a1),a1))+E(f8(x6321,f24(a1),x6322),f28(f41(x6322,a2)))
% 2.91/2.97 [633]~E(f5(x6331,x6332),f25(f24(a1),f26(a1),a1))+E(f9(x6331,f24(a1),x6332),f28(f41(x6332,a2)))
% 2.91/2.97 [644]P8(x6442,x6441,a1)+E(f25(x6441,f4(x6442,x6441,a1),a1),x6442)
% 2.91/2.97 [649]P8(x6491,x6492,a1)+P8(x6492,f25(x6491,f26(a1),a1),a1)
% 2.91/2.97 [651]P11(x6511,x6512,a1)+P11(f25(x6512,f26(a1),a1),x6511,a1)
% 2.91/2.97 [667]~P11(x6671,f28(f41(x6672,a2)),f41(x6672,a2))+E(x6671,f28(f41(x6672,a2)))
% 2.91/2.97 [681]E(x6811,f25(f24(a1),f26(a1),a1))+~E(f27(x6812,x6811,a1),f25(f24(a1),f26(a1),a1))
% 2.91/2.97 [682]E(x6821,f25(f24(a1),f26(a1),a1))+~E(f27(x6821,x6822,a1),f25(f24(a1),f26(a1),a1))
% 2.91/2.97 [700]~P11(x7001,x7002,a1)+E(f25(x7001,f4(x7002,x7001,a1),a1),x7002)
% 2.91/2.97 [701]~P11(x7012,x7011,a1)+E(f4(x7011,f4(x7011,x7012,a1),a1),x7012)
% 2.91/2.97 [702]~P11(x7022,x7021,a1)+E(f25(f4(x7021,x7022,a1),x7022,a1),x7021)
% 2.91/2.97 [711]~P11(x7111,x7112,a1)+P8(x7111,f25(x7112,f26(a1),a1),a1)
% 2.91/2.97 [715]~P8(x7151,x7152,a1)+P11(f25(x7151,f26(a1),a1),x7152,a1)
% 2.91/2.97 [739]P8(x7391,x7392,a1)+E(f6(f4(x7391,x7392,a1),x7392,a1),f6(x7391,x7392,a1))
% 2.91/2.97 [763]~P11(x7632,x7631,a1)+E(f6(f4(x7631,x7632,a1),x7632,a1),f6(x7631,x7632,a1))
% 2.91/2.97 [786]P11(x7861,x7862,a1)+~P8(x7861,f25(x7862,f26(a1),a1),a1)
% 2.91/2.97 [789]P8(x7891,x7892,a1)+~P11(f25(x7891,f26(a1),a1),x7892,a1)
% 2.91/2.97 [807]~P11(f25(x8072,f26(a1),a1),x8071,a1)+E(f25(f10(x8071),f26(a1),a1),x8071)
% 2.91/2.97 [855]~P8(x8551,x8552,a1)+~P8(x8552,f25(x8551,f26(a1),a1),a1)
% 2.91/2.97 [856]~P11(x8561,x8562,a1)+~P11(f25(x8562,f26(a1),a1),x8561,a1)
% 2.91/2.97 [993]E(x9931,f24(a1))+E(f25(f25(f4(x9931,f26(a1),a1),x9932,a1),f26(a1),a1),f25(x9931,x9932,a1))
% 2.91/2.97 [1060]P8(x10601,x10602,a1)+~P8(f25(x10601,f26(a1),a1),f25(x10602,f26(a1),a1),a1)
% 2.91/2.97 [1061]P11(x10611,x10612,a1)+~P11(f25(x10611,f26(a1),a1),f25(x10612,f26(a1),a1),a1)
% 2.91/2.97 [1124]P11(f25(f24(a1),f26(a1),a1),x11241,a1)+~P11(f25(f24(a1),f26(a1),a1),f27(x11242,x11241,a1),a1)
% 2.91/2.97 [1125]P11(f25(f24(a1),f26(a1),a1),x11251,a1)+~P11(f25(f24(a1),f26(a1),a1),f27(x11251,x11252,a1),a1)
% 2.91/2.97 [652]~P45(x6521)+E(f25(f26(x6521),f32(x6522,x6521),x6521),f32(f25(x6522,f26(a1),a1),x6521))
% 2.91/2.97 [716]~P1(x7162)+E(f25(x7161,x7161,x7162),f27(f25(f26(x7162),f26(x7162),x7162),x7161,x7162))
% 2.91/2.97 [769]~P66(f35(x7691,x7692))+P66(f35(x7691,f6(x7692,f24(a1),a1)))
% 2.91/2.97 [972]~E(f25(f6(x9721,x9722,a1),f26(a1),a1),x9722)+E(f6(f25(x9721,f26(a1),a1),x9722,a1),f24(a1))
% 2.91/2.97 [976]P66(f35(x9761,x9762))+~P66(f35(x9761,f6(x9762,f24(a1),a1)))
% 2.91/2.97 [1041]~P8(f26(a1),x10411,a1)+E(f6(f25(f27(x10411,x10412,a1),f26(a1),a1),x10411,a1),f26(a1))
% 2.91/2.97 [1046]~P8(f24(a1),x10461,a1)+P8(f4(x10461,f25(x10462,f26(a1),a1),a1),x10461,a1)
% 2.91/2.97 [1062]E(f25(f6(x10621,x10622,a1),f26(a1),a1),x10622)+E(f6(f25(x10621,f26(a1),a1),x10622,a1),f25(f6(x10621,x10622,a1),f26(a1),a1))
% 2.91/2.97 [670]~P39(x6702)+E(f22(f36(x6701,f28(f41(x6702,a2)),x6702),x6702),x6701)
% 2.91/2.97 [671]~P39(x6712)+E(f23(f36(x6711,f28(f41(x6712,a2)),x6712),x6712),x6711)
% 2.91/2.97 [985]E(x9851,f24(a1))+E(f25(x9852,f27(f4(x9851,f26(a1),a1),x9852,a1),a1),f27(x9851,x9852,a1))
% 2.91/2.97 [1079]P6(x10791,f28(f41(x10792,a2)),x10792)+E(f5(f36(x10791,f28(f41(x10792,a2)),x10792),x10792),f25(f5(f28(f41(x10792,a2)),x10792),f26(a1),a1))
% 2.91/2.97 [482]E(x4821,x4822)+~P10(x4821,x4822,x4823)
% 2.91/2.97 [503]P6(x5031,x5032,x5033)+~P66(f35(x5032,x5031))
% 2.91/2.97 [519]~P1(x5193)+E(f27(x5191,x5192,x5193),f27(x5192,x5191,x5193))
% 2.91/2.97 [521]~P1(x5213)+E(f25(x5211,x5212,x5213),f25(x5212,x5211,x5213))
% 2.91/2.97 [522]~P13(x5223)+E(f25(x5221,x5222,x5223),f25(x5222,x5221,x5223))
% 2.91/2.97 [523]~P20(x5233)+E(f29(x5231,x5232,x5233),f29(x5232,x5231,x5233))
% 2.91/2.97 [524]~P21(x5243)+E(f29(x5241,x5242,x5243),f29(x5242,x5241,x5243))
% 2.91/2.97 [525]~P6(x5252,x5251,x5253)+P66(f35(x5251,x5252))
% 2.91/2.97 [547]~P6(x5471,x5472,x5473)+E(f36(x5471,x5472,x5473),x5472)
% 2.91/2.97 [550]~P5(x5502,x5503)+P5(f36(x5501,x5502,x5503),x5503)
% 2.91/2.97 [569]E(x5691,x5692)+~E(f25(x5693,x5691,a1),f25(x5693,x5692,a1))
% 2.91/2.97 [570]E(x5701,x5702)+~E(f25(x5701,x5703,a1),f25(x5702,x5703,a1))
% 2.91/2.97 [571]~P1(x5713)+P7(x5711,f27(x5712,x5711,x5713),x5713)
% 2.91/2.97 [572]~P1(x5723)+P7(x5721,f27(x5721,x5722,x5723),x5723)
% 2.91/2.97 [573]~P46(x5733)+P7(x5731,f27(x5731,x5732,x5733),x5733)
% 2.91/2.97 [574]~P20(x5743)+P11(f29(x5741,x5742,x5743),x5742,x5743)
% 2.91/2.97 [575]~P21(x5753)+P11(f29(x5751,x5752,x5753),x5752,x5753)
% 2.91/2.97 [576]~P20(x5763)+P11(f29(x5761,x5762,x5763),x5761,x5763)
% 2.91/2.97 [577]~P21(x5773)+P11(f29(x5771,x5772,x5773),x5771,x5773)
% 2.91/2.97 [634]~P8(x6341,x6342,f41(x6343,a2))+P11(x6341,x6342,f41(x6343,a2))
% 2.91/2.97 [643]P5(x6431,x6432)+~P5(f36(x6433,x6431,x6432),x6432)
% 2.91/2.97 [688]~P8(x6881,x6883,a1)+P8(x6881,f25(x6882,x6883,a1),a1)
% 2.91/2.97 [690]~P8(x6901,x6902,a1)+P8(x6901,f25(x6902,x6903,a1),a1)
% 2.91/2.97 [693]~P11(x6931,x6933,a1)+P11(x6931,f25(x6932,x6933,a1),a1)
% 2.91/2.97 [695]~P11(x6951,x6952,a1)+P11(x6951,f25(x6952,x6953,a1),a1)
% 2.91/2.97 [696]~P8(x6961,x6963,a1)+P8(f4(x6961,x6962,a1),x6963,a1)
% 2.91/2.97 [774]P8(x7741,x7742,a1)+~P8(f25(x7741,x7743,a1),x7742,a1)
% 2.91/2.97 [775]P11(x7751,x7752,a1)+~P11(f25(x7753,x7751,a1),x7752,a1)
% 2.91/2.97 [776]P11(x7761,x7762,a1)+~P11(f25(x7761,x7763,a1),x7762,a1)
% 2.91/2.97 [805]P11(f27(x8052,x8051,a1),f27(x8053,x8051,a1),a1)+P8(f24(a1),x8051,a1)
% 2.91/2.97 [806]P11(f27(x8061,x8062,a1),f27(x8061,x8063,a1),a1)+P8(f24(a1),x8061,a1)
% 2.91/2.97 [868]~P8(x8681,x8683,a1)+P8(f25(x8681,x8682,a1),f25(x8683,x8682,a1),a1)
% 2.91/2.97 [869]~P8(x8692,x8693,a1)+P8(f25(x8691,x8692,a1),f25(x8691,x8693,a1),a1)
% 2.91/2.97 [870]~P7(x8702,x8703,a1)+P7(f27(x8701,x8702,a1),f27(x8701,x8703,a1),a1)
% 2.91/2.97 [872]~P11(x8721,x8723,a1)+P11(f27(x8721,x8722,a1),f27(x8723,x8722,a1),a1)
% 2.91/2.97 [874]~P11(x8742,x8743,a1)+P11(f27(x8741,x8742,a1),f27(x8741,x8743,a1),a1)
% 2.91/2.97 [875]~P11(x8751,x8753,a1)+P11(f25(x8751,x8752,a1),f25(x8753,x8752,a1),a1)
% 2.91/2.98 [876]~P11(x8762,x8763,a1)+P11(f25(x8761,x8762,a1),f25(x8761,x8763,a1),a1)
% 2.91/2.98 [877]~P11(x8771,x8773,a1)+P11(f4(x8771,x8772,a1),f4(x8773,x8772,a1),a1)
% 2.91/2.98 [878]~P11(x8783,x8782,a1)+P11(f4(x8781,x8782,a1),f4(x8781,x8783,a1),a1)
% 2.91/2.98 [961]~P8(f25(x9611,x9613,a1),x9612,a1)+P8(x9611,f4(x9612,x9613,a1),a1)
% 2.91/2.98 [962]~P11(f4(x9621,x9623,a1),x9622,a1)+P11(x9621,f25(x9622,x9623,a1),a1)
% 2.91/2.98 [963]~P8(x9631,f4(x9633,x9632,a1),a1)+P8(f25(x9631,x9632,a1),x9633,a1)
% 2.91/2.98 [964]~P11(x9641,f25(x9643,x9642,a1),a1)+P11(f4(x9641,x9642,a1),x9643,a1)
% 2.91/2.98 [1042]P8(x10421,x10422,a1)+~P8(f27(x10423,x10421,a1),f27(x10423,x10422,a1),a1)
% 2.91/2.98 [1043]P8(x10431,x10432,a1)+~P8(f27(x10431,x10433,a1),f27(x10432,x10433,a1),a1)
% 2.91/2.98 [1044]P8(x10441,x10442,a1)+~P8(f25(x10443,x10441,a1),f25(x10443,x10442,a1),a1)
% 2.91/2.98 [1045]P11(x10451,x10452,a1)+~P11(f25(x10453,x10451,a1),f25(x10453,x10452,a1),a1)
% 2.91/2.98 [1047]~P8(f27(x10472,x10471,a1),f27(x10473,x10471,a1),a1)+P8(f24(a1),x10471,a1)
% 2.91/2.98 [1048]~P8(f27(x10481,x10482,a1),f27(x10481,x10483,a1),a1)+P8(f24(a1),x10481,a1)
% 2.91/2.98 [578]~P31(x5783)+E(f25(f4(x5781,x5782,x5783),x5782,x5783),x5781)
% 2.91/2.98 [579]~P31(x5793)+E(f4(f25(x5791,x5792,x5793),x5792,x5793),x5791)
% 2.91/2.98 [588]~P3(x5883)+E(f6(f27(x5881,x5882,x5883),x5882,x5883),f24(x5883))
% 2.91/2.98 [589]~P3(x5893)+E(f6(f27(x5891,x5892,x5893),x5891,x5893),f24(x5893))
% 2.91/2.98 [622]~P5(x6222,x6223)+P5(f29(x6221,x6222,f41(x6223,a2)),x6223)
% 2.91/2.98 [623]~P5(x6231,x6233)+P5(f29(x6231,x6232,f41(x6233,a2)),x6233)
% 2.91/2.98 [624]~P5(x6241,x6243)+P5(f4(x6241,x6242,f41(x6243,a2)),x6243)
% 2.91/2.98 [638]~P11(x6382,x6381,f41(x6383,a2))+E(f29(x6381,x6382,f41(x6383,a2)),x6382)
% 2.91/2.98 [639]~P11(x6391,x6392,f41(x6393,a2))+E(f29(x6391,x6392,f41(x6393,a2)),x6391)
% 2.91/2.98 [655]~P25(x6553)+E(f27(x6551,f27(x6551,x6552,x6553),x6553),f27(x6551,x6552,x6553))
% 2.91/2.98 [656]~P20(x6563)+E(f29(x6561,f29(x6561,x6562,x6563),x6563),f29(x6561,x6562,x6563))
% 2.91/2.98 [657]~P21(x6573)+E(f29(x6571,f29(x6571,x6572,x6573),x6573),f29(x6571,x6572,x6573))
% 2.91/2.98 [658]~P3(x6583)+E(f6(f25(x6581,x6582,x6583),x6582,x6583),f6(x6581,x6582,x6583))
% 2.91/2.98 [659]~P3(x6593)+E(f6(f25(x6591,x6592,x6593),x6591,x6593),f6(x6592,x6591,x6593))
% 2.91/2.98 [660]~P3(x6603)+E(f6(f6(x6601,x6602,x6603),x6602,x6603),f6(x6601,x6602,x6603))
% 2.91/2.98 [665]~P45(x6652)+E(f27(f32(x6651,x6652),f32(x6653,x6652),x6652),f32(f27(x6651,x6653,a1),x6652))
% 2.91/2.98 [666]~P45(x6662)+E(f25(f32(x6661,x6662),f32(x6663,x6662),x6662),f32(f25(x6661,x6663,a1),x6662))
% 2.91/2.98 [668]E(f5(f8(x6681,x6682,x6683),x6683),x6682)+~E(f5(x6681,x6683),f25(x6682,f26(a1),a1))
% 2.91/2.98 [669]E(f5(f9(x6691,x6692,x6693),x6693),x6692)+~E(f5(x6691,x6693),f25(x6692,f26(a1),a1))
% 2.91/2.98 [703]E(f4(x7031,x7032,f41(x7033,a2)),x7031)+~E(f29(x7031,x7032,f41(x7033,a2)),f28(f41(x7033,a2)))
% 2.91/2.98 [771]~P54(x7712)+P7(f27(x7711,f24(x7712),x7712),f27(x7713,f24(x7712),x7712),x7712)
% 2.91/2.98 [772]~P54(x7721)+P7(f27(f24(x7721),x7722,x7721),f27(f24(x7721),x7723,x7721),x7721)
% 2.91/2.98 [864]~P5(x8641,x8642)+P11(f5(x8641,x8642),f5(f36(x8643,x8641,x8642),x8642),a1)
% 2.91/2.98 [954]~P11(x9542,x9543,a1)+E(f4(f25(x9541,x9542,a1),x9543,a1),f4(x9541,f4(x9543,x9542,a1),a1))
% 2.91/2.98 [955]~P11(x9553,x9552,a1)+E(f4(f25(x9551,x9552,a1),x9553,a1),f25(x9551,f4(x9552,x9553,a1),a1))
% 2.91/2.98 [957]~P11(x9573,x9571,a1)+E(f4(f25(x9571,x9572,a1),x9573,a1),f25(f4(x9571,x9573,a1),x9572,a1))
% 2.91/2.98 [1016]~P11(x10163,x10162,a1)+P11(x10161,f4(f25(x10162,x10161,a1),x10163,a1),a1)
% 2.91/2.98 [1017]P6(x10171,x10172,x10173)+E(f4(f36(x10171,x10172,x10173),f36(x10171,f28(f41(x10173,a2)),x10173),f41(x10173,a2)),x10172)
% 2.91/2.98 [1127]~P57(x11271)+P11(f24(x11271),f25(f27(x11272,x11272,x11271),f27(x11273,x11273,x11271),x11271),x11271)
% 2.91/2.98 [1198]~P57(x11981)+~P8(f25(f27(x11982,x11982,x11981),f27(x11983,x11983,x11981),x11981),f24(x11981),x11981)
% 2.91/2.98 [1239]~P5(x12391,x12393)+E(f25(f5(f4(x12391,f36(x12392,f28(f41(x12393,a2)),x12393),f41(x12393,a2)),x12393),f26(a1),a1),f5(f36(x12392,x12391,x12393),x12393))
% 2.91/2.98 [849]E(x8491,x8492)+~E(f36(x8491,f28(f41(x8493,a2)),x8493),f36(x8492,f28(f41(x8493,a2)),x8493))
% 2.91/2.98 [865]~P1(x8653)+E(f25(x8651,f27(x8652,x8651,x8653),x8653),f27(f25(x8652,f26(x8653),x8653),x8651,x8653))
% 2.91/2.98 [866]~P1(x8663)+E(f25(f27(x8661,x8662,x8663),x8662,x8663),f27(f25(x8661,f26(x8663),x8663),x8662,x8663))
% 2.91/2.98 [973]E(x9731,x9732)+~P6(x9731,f36(x9732,f28(f41(x9733,a2)),x9733),x9733)
% 2.91/2.98 [1077]E(x10771,x10772)+~E(f27(f25(x10773,f26(a1),a1),x10771,a1),f27(f25(x10773,f26(a1),a1),x10772,a1))
% 2.91/2.98 [1161]~P6(x11611,x11612,x11613)+E(f36(x11611,f4(x11612,f36(x11611,f28(f41(x11613,a2)),x11613),f41(x11613,a2)),x11613),x11612)
% 2.91/2.98 [1162]~P11(x11622,x11623,a1)+E(f4(f25(x11621,x11622,a1),f25(x11623,f26(a1),a1),a1),f4(x11621,f25(f4(x11623,x11622,a1),f26(a1),a1),a1))
% 2.91/2.98 [1163]~P11(x11632,x11631,a1)+E(f4(f25(f4(x11631,x11632,a1),f26(a1),a1),x11633,a1),f4(f25(x11631,f26(a1),a1),f25(x11632,x11633,a1),a1))
% 2.91/2.98 [1170]~P8(x11702,x11703,a1)+P8(f27(f25(x11701,f26(a1),a1),x11702,a1),f27(f25(x11701,f26(a1),a1),x11703,a1),a1)
% 2.91/2.98 [1208]P66(f35(x12081,x12082))+~P66(f35(x12081,f4(f25(x12083,x12082,a1),x12083,a1)))
% 2.91/2.98 [1223]P11(x12231,x12232,a1)+~P11(f27(f25(x12233,f26(a1),a1),x12231,a1),f27(f25(x12233,f26(a1),a1),x12232,a1),a1)
% 2.91/2.98 [1232]~P5(x12321,x12323)+P11(f5(f4(x12321,f36(x12322,f28(f41(x12323,a2)),x12323),f41(x12323,a2)),x12323),f5(x12321,x12323),a1)
% 2.91/2.98 [1182]~P5(f29(x11821,x11823,f41(x11822,a2)),x11822)+E(f4(f5(x11821,x11822),f5(f29(x11821,x11823,f41(x11822,a2)),x11822),a1),f5(f4(x11821,x11823,f41(x11822,a2)),x11822))
% 2.91/2.98 [718]~P6(x7181,x7183,x7184)+P6(x7181,f36(x7182,x7183,x7184),x7184)
% 2.91/2.98 [782]~P11(x7821,x7823,f41(x7824,a2))+P11(x7821,f36(x7822,x7823,x7824),f41(x7824,a2))
% 2.91/2.98 [879]P6(x8791,x8792,x8793)+~P11(f36(x8791,x8794,x8793),x8792,f41(x8793,a2))
% 2.91/2.98 [935]~P11(f36(x9354,x9351,x9353),x9352,f41(x9353,a2))+P11(x9351,x9352,f41(x9353,a2))
% 2.91/2.98 [968]~P11(x9682,x9684,f41(x9683,a2))+P11(f36(x9681,x9682,x9683),f36(x9681,x9684,x9683),f41(x9683,a2))
% 2.91/2.98 [1082]~P5(x10822,x10823)+P5(f37(x10821,x10822,x10823,x10824),x10824)
% 2.91/2.98 [762]~P66(f35(x7622,x7624))+P66(f35(f36(x7621,x7622,x7623),x7624))
% 2.91/2.98 [803]P6(x8032,x8031,x8034)+E(f29(x8031,f36(x8032,x8033,x8034),f41(x8034,a2)),f29(x8031,x8033,f41(x8034,a2)))
% 2.91/2.98 [804]P6(x8041,x8044,x8043)+E(f29(f36(x8041,x8042,x8043),x8044,f41(x8043,a2)),f29(x8042,x8044,f41(x8043,a2)))
% 2.91/2.98 [823]~P1(x8234)+E(f27(x8231,f27(x8232,x8233,x8234),x8234),f27(x8232,f27(x8231,x8233,x8234),x8234))
% 2.91/2.98 [824]~P1(x8244)+E(f25(x8241,f25(x8242,x8243,x8244),x8244),f25(x8242,f25(x8241,x8243,x8244),x8244))
% 2.91/2.98 [825]~P22(x8254)+E(f25(x8251,f25(x8252,x8253,x8254),x8254),f25(x8252,f25(x8251,x8253,x8254),x8254))
% 2.91/2.98 [826]~P13(x8264)+E(f25(x8261,f25(x8262,x8263,x8264),x8264),f25(x8262,f25(x8261,x8263,x8264),x8264))
% 2.91/2.98 [827]~P20(x8274)+E(f29(x8271,f29(x8272,x8273,x8274),x8274),f29(x8272,f29(x8271,x8273,x8274),x8274))
% 2.91/2.98 [828]~P21(x8284)+E(f29(x8281,f29(x8282,x8283,x8284),x8284),f29(x8282,f29(x8281,x8283,x8284),x8284))
% 2.91/2.98 [833]~P1(x8333)+E(f27(f27(x8331,x8332,x8333),x8334,x8333),f27(x8331,f27(x8332,x8334,x8333),x8333))
% 2.91/2.98 [834]~P24(x8343)+E(f27(f27(x8341,x8342,x8343),x8344,x8343),f27(x8341,f27(x8342,x8344,x8343),x8343))
% 2.91/2.98 [835]~P1(x8353)+E(f25(f25(x8351,x8352,x8353),x8354,x8353),f25(x8351,f25(x8352,x8354,x8353),x8353))
% 2.91/2.98 [836]~P13(x8363)+E(f25(f25(x8361,x8362,x8363),x8364,x8363),f25(x8361,f25(x8362,x8364,x8363),x8363))
% 2.91/2.98 [837]~P14(x8373)+E(f25(f25(x8371,x8372,x8373),x8374,x8373),f25(x8371,f25(x8372,x8374,x8373),x8373))
% 2.91/2.98 [838]~P20(x8383)+E(f29(f29(x8381,x8382,x8383),x8384,x8383),f29(x8381,f29(x8382,x8384,x8383),x8383))
% 2.91/2.98 [839]~P21(x8393)+E(f29(f29(x8391,x8392,x8393),x8394,x8393),f29(x8391,f29(x8392,x8394,x8393),x8393))
% 2.91/2.98 [840]~P1(x8403)+E(f27(f27(x8401,x8402,x8403),x8404,x8403),f27(f27(x8401,x8404,x8403),x8402,x8403))
% 2.91/2.98 [841]~P1(x8413)+E(f25(f25(x8411,x8412,x8413),x8414,x8413),f25(f25(x8411,x8414,x8413),x8412,x8413))
% 2.91/2.98 [880]~P6(x8801,x8804,x8803)+E(f4(f36(x8801,x8802,x8803),x8804,f41(x8803,a2)),f4(x8802,x8804,f41(x8803,a2)))
% 2.91/2.98 [939]P6(x9391,x9392,x9393)+~P6(x9391,f29(x9394,x9392,f41(x9393,a2)),x9393)
% 2.91/2.98 [940]P6(x9401,x9402,x9403)+~P6(x9401,f29(x9402,x9404,f41(x9403,a2)),x9403)
% 2.91/2.98 [941]P6(x9411,x9412,x9413)+~P6(x9411,f4(x9412,x9414,f41(x9413,a2)),x9413)
% 2.91/2.98 [967]~P6(x9671,x9672,x9673)+~P6(x9671,f4(x9674,x9672,f41(x9673,a2)),x9673)
% 2.91/2.98 [996]~P1(x9963)+E(f25(f27(x9961,x9962,x9963),f27(x9961,x9964,x9963),x9963),f27(x9961,f25(x9962,x9964,x9963),x9963))
% 2.91/2.98 [997]~P32(x9973)+E(f29(f25(x9971,x9972,x9973),f25(x9971,x9974,x9973),x9973),f25(x9971,f29(x9972,x9974,x9973),x9973))
% 2.91/2.98 [998]~P33(x9983)+E(f29(f25(x9981,x9982,x9983),f25(x9981,x9984,x9983),x9983),f25(x9981,f29(x9982,x9984,x9983),x9983))
% 2.91/2.98 [1000]~P42(x10003)+E(f25(f27(x10001,x10002,x10003),f27(x10004,x10002,x10003),x10003),f27(f25(x10001,x10004,x10003),x10002,x10003))
% 2.91/2.98 [1001]~P32(x10013)+E(f29(f25(x10011,x10012,x10013),f25(x10014,x10012,x10013),x10013),f25(f29(x10011,x10014,x10013),x10012,x10013))
% 2.91/2.98 [1002]~P33(x10023)+E(f29(f25(x10021,x10022,x10023),f25(x10024,x10022,x10023),x10023),f25(f29(x10021,x10024,x10023),x10022,x10023))
% 2.91/2.98 [1003]~P3(x10033)+E(f6(f27(x10031,x10032,x10033),f27(x10031,x10034,x10033),x10033),f27(x10031,f6(x10032,x10034,x10033),x10033))
% 2.91/2.98 [1004]~P1(x10043)+E(f25(f27(x10041,x10042,x10043),f27(x10044,x10042,x10043),x10043),f27(f25(x10041,x10044,x10043),x10042,x10043))
% 2.91/2.98 [1005]~P3(x10053)+E(f6(f27(x10051,x10052,x10053),f27(x10054,x10052,x10053),x10053),f27(f6(x10051,x10054,x10053),x10052,x10053))
% 2.91/2.98 [1006]P11(x10061,x10062,f41(x10063,a2))+~P11(x10061,f29(x10064,x10062,f41(x10063,a2)),f41(x10063,a2))
% 2.91/2.98 [1007]P11(x10071,x10072,f41(x10073,a2))+~P11(x10071,f29(x10072,x10074,f41(x10073,a2)),f41(x10073,a2))
% 2.91/2.98 [1040]~E(f37(x10403,x10401,x10402,x10404),f28(f41(x10404,a2)))+E(x10401,f28(f41(x10402,a2)))
% 2.91/2.98 [1144]~P5(f4(x11441,x11443,f41(x11444,a2)),x11444)+P5(f4(x11441,f36(x11442,x11443,x11444),f41(x11444,a2)),x11444)
% 2.91/2.98 [1168]~P5(f4(x11681,f36(x11684,x11682,x11683),f41(x11683,a2)),x11683)+P5(f4(x11681,x11682,f41(x11683,a2)),x11683)
% 2.91/2.98 [1190]~P9(x11901,x11902,x11903,x11904)+E(f5(f37(x11901,x11902,x11903,x11904),x11904),f5(x11902,x11903))
% 2.91/2.98 [1216]~P9(x12162,f34(f41(x12161,a2)),x12161,x12163)+E(f35(f31(f34(f41(x12161,a2)),x12162,x12161,x12163),f35(x12162,x12164)),x12164)
% 2.91/2.98 [1217]~P5(x12172,x12173)+P11(f5(f37(x12171,x12172,x12173,x12174),x12174),f5(x12172,x12173),a1)
% 2.91/2.98 [1230]~P9(x12301,f34(f41(x12303,a2)),x12303,x12304)+E(f39(x12301,f37(x12301,x12302,x12303,x12304),x12303,x12304),x12302)
% 2.91/2.98 [1255]~P9(x12552,f34(f41(x12551,a2)),x12551,x12553)+E(f37(f31(f34(f41(x12551,a2)),x12552,x12551,x12553),f37(x12552,x12554,x12551,x12553),x12553,x12551),x12554)
% 2.91/2.98 [994]~P3(x9944)+E(f6(f25(x9941,f27(x9942,x9943,x9944),x9944),x9943,x9944),f6(x9941,x9943,x9944))
% 2.91/2.98 [995]~P3(x9954)+E(f6(f25(x9951,f27(x9952,x9953,x9954),x9954),x9952,x9954),f6(x9951,x9952,x9954))
% 2.91/2.98 [1010]P6(x10101,x10103,x10104)+E(f36(x10101,f4(x10102,x10103,f41(x10104,a2)),x10104),f4(f36(x10101,x10102,x10104),x10103,f41(x10104,a2)))
% 2.91/2.98 [1055]~P6(x10551,x10552,x10554)+E(f36(x10551,f29(x10552,x10553,f41(x10554,a2)),x10554),f29(x10552,f36(x10551,x10553,x10554),f41(x10554,a2)))
% 2.91/2.98 [1056]~P6(x10561,x10563,x10564)+E(f36(x10561,f29(x10562,x10563,f41(x10564,a2)),x10564),f29(f36(x10561,x10562,x10564),x10563,f41(x10564,a2)))
% 2.91/2.98 [1085]~P3(x10854)+E(f6(f27(x10851,f6(x10852,x10853,x10854),x10854),x10853,x10854),f6(f27(x10851,x10852,x10854),x10853,x10854))
% 2.91/2.98 [1087]~P12(x10874)+E(f6(f4(x10871,f6(x10872,x10873,x10874),x10874),x10873,x10874),f6(f4(x10871,x10872,x10874),x10873,x10874))
% 2.91/2.98 [1090]~P12(x10903)+E(f6(f4(f6(x10901,x10902,x10903),x10904,x10903),x10902,x10903),f6(f4(x10901,x10904,x10903),x10902,x10903))
% 2.91/2.98 [1091]~P3(x10914)+E(f6(f25(x10911,f6(x10912,x10913,x10914),x10914),x10913,x10914),f6(f25(x10911,x10912,x10914),x10913,x10914))
% 2.91/2.98 [1092]~P3(x10923)+E(f6(f27(f6(x10921,x10922,x10923),x10924,x10923),x10922,x10923),f6(f27(x10921,x10924,x10923),x10922,x10923))
% 2.91/2.98 [1093]~P3(x10933)+E(f6(f25(f6(x10931,x10932,x10933),x10934,x10933),x10932,x10933),f6(f25(x10931,x10934,x10933),x10932,x10933))
% 2.91/2.98 [1110]P66(f35(x11101,x11102))+~P66(f35(f29(x11103,x11101,f41(x11104,a2)),x11102))
% 2.91/2.98 [1111]P66(f35(x11111,x11112))+~P66(f35(f29(x11111,x11113,f41(x11114,a2)),x11112))
% 2.91/2.98 [1164]~P3(x11643)+E(f6(f27(f6(x11641,x11642,x11643),f6(x11644,x11642,x11643),x11643),x11642,x11643),f6(f27(x11641,x11644,x11643),x11642,x11643))
% 2.91/2.98 [1165]~P3(x11653)+E(f6(f25(f6(x11651,x11652,x11653),f6(x11654,x11652,x11653),x11653),x11652,x11653),f6(f25(x11651,x11654,x11653),x11652,x11653))
% 2.91/2.98 [1166]~P12(x11663)+E(f6(f4(f6(x11661,x11662,x11663),f6(x11664,x11662,x11663),x11663),x11662,x11663),f6(f4(x11661,x11664,x11663),x11662,x11663))
% 2.91/2.98 [1219]~P11(x12191,x12193,a1)+E(f25(f27(x12191,x12192,a1),f25(f27(f4(x12193,x12191,a1),x12192,a1),x12194,a1),a1),f25(f27(x12193,x12192,a1),x12194,a1))
% 2.91/2.98 [1150]~P6(x11502,x11503,x11504)+P6(f35(x11501,x11502),f37(x11501,x11503,x11504,x11505),x11505)
% 2.91/2.98 [1156]~P6(f35(x11562,x11561),x11563,x11565)+P6(x11561,f39(x11562,x11563,x11564,x11565),x11564)
% 2.91/2.98 [1173]P9(x11731,x11732,x11733,x11734)+~P9(x11731,f36(x11735,x11732,x11733),x11733,x11734)
% 2.91/2.98 [1195]~P6(x11952,f39(x11951,x11953,x11955,x11954),x11955)+P6(f35(x11951,x11952),x11953,x11954)
% 2.91/2.98 [1226]~P11(x12262,x12265,f41(x12264,a2))+P11(f39(x12261,x12262,x12263,x12264),f39(x12261,x12265,x12263,x12264),f41(x12263,a2))
% 2.91/2.98 [1228]~P11(x12282,x12285,f41(x12283,a2))+P11(f37(x12281,x12282,x12283,x12284),f37(x12281,x12285,x12283,x12284),f41(x12284,a2))
% 2.91/2.98 [1250]P9(f31(x12501,x12502,x12503,x12504),x12505,x12504,x12503)+~P11(x12505,f37(x12502,x12501,x12503,x12504),f41(x12504,a2))
% 2.91/2.98 [1261]~E(f21(x12611,x12612,x12613,x12614,x12615),x12611)+E(f35(x12611,x12612),x12613)
% 2.91/2.98 [1287]P6(f15(x12872,x12871,x12875,x12873,x12874),x12872,x12873)+E(f37(x12871,x12872,x12873,x12874),f37(x12875,x12872,x12873,x12874))
% 2.91/2.98 [1289]P6(f17(x12891,x12892,x12893,x12894,x12895),x12891,x12894)+P11(f37(x12893,x12891,x12894,x12895),x12892,f41(x12895,a2))
% 2.91/2.98 [1290]P6(f19(x12901,x12902,x12903,x12904,x12905),x12901,x12904)+P11(f37(x12903,x12901,x12904,x12905),x12902,f41(x12905,a2))
% 2.91/2.98 [1295]~P6(x12952,f37(x12953,x12951,x12954,x12955),x12955)+P6(f16(x12951,x12952,x12953,x12954,x12955),x12951,x12954)
% 2.91/2.98 [1296]~P6(x12963,f37(x12962,x12961,x12964,x12965),x12965)+P6(f18(x12961,x12962,x12963,x12964,x12965),x12961,x12964)
% 2.91/2.98 [1298]~P11(x12982,f37(x12983,x12981,x12984,x12985),f41(x12985,a2))+P11(f20(x12981,x12982,x12983,x12984,x12985),x12981,f41(x12984,a2))
% 2.91/2.98 [1094]~P1(x10943)+E(f27(f27(x10941,x10942,x10943),f27(x10944,x10945,x10943),x10943),f27(f27(x10941,x10944,x10943),f27(x10942,x10945,x10943),x10943))
% 2.91/2.98 [1095]~P1(x10953)+E(f25(f25(x10951,x10952,x10953),f25(x10954,x10955,x10953),x10953),f25(f25(x10951,x10954,x10953),f25(x10952,x10955,x10953),x10953))
% 2.91/2.98 [1126]E(f6(x11261,x11262,a1),f6(x11263,x11262,a1))+~E(f25(x11261,f27(x11262,x11264,a1),a1),f25(x11263,f27(x11262,x11265,a1),a1))
% 2.91/2.98 [1172]~P9(x11721,x11722,x11724,x11725)+P9(x11721,f4(x11722,x11723,f41(x11724,a2)),x11724,x11725)
% 2.91/2.98 [1189]~P6(x11892,x11893,x11894)+E(f36(f35(x11891,x11892),f37(x11891,x11893,x11894,x11895),x11895),f37(x11891,x11893,x11894,x11895))
% 2.91/2.98 [1221]~P66(f35(x12212,f35(x12211,x12215)))+P66(f35(f39(x12211,x12212,x12213,x12214),x12215))
% 2.91/2.98 [1252]P66(f35(x12521,f35(x12522,x12523)))+~P66(f35(f39(x12522,x12521,x12524,x12525),x12523))
% 2.91/2.98 [1266]~P6(x12665,f37(x12662,x12661,x12663,x12664),x12664)+P6(f35(f31(x12661,x12662,x12663,x12664),x12665),x12661,x12663)
% 2.91/2.98 [1292]~P6(x12923,f37(x12921,x12922,x12924,x12925),x12925)+E(f35(x12921,f16(x12922,x12923,x12921,x12924,x12925)),x12923)
% 2.91/2.98 [1293]~P6(x12933,f37(x12931,x12932,x12934,x12935),x12935)+E(f35(x12931,f18(x12932,x12931,x12933,x12934,x12935)),x12933)
% 2.91/2.98 [1300]~P11(x13003,f37(x13001,x13002,x13004,x13005),f41(x13005,a2))+E(f37(x13001,f20(x13002,x13003,x13001,x13004,x13005),x13004,x13005),x13003)
% 2.91/2.98 [1306]E(f37(x13061,x13062,x13063,x13064),f37(x13065,x13062,x13063,x13064))+~E(f35(x13061,f15(x13062,x13061,x13065,x13063,x13064)),f35(x13065,f15(x13062,x13061,x13065,x13063,x13064)))
% 2.91/2.98 [1307]P11(f37(x13071,x13072,x13073,x13074),x13075,f41(x13074,a2))+~P6(f35(x13071,f17(x13072,x13075,x13071,x13073,x13074)),x13075,x13074)
% 2.91/2.98 [1308]P11(f37(x13081,x13082,x13083,x13084),x13085,f41(x13084,a2))+~P6(f35(x13081,f19(x13082,x13085,x13081,x13083,x13084)),x13085,x13084)
% 2.91/2.98 [1186]~P58(x11863)+E(f25(f27(x11861,x11862,x11863),f25(f27(x11864,x11862,x11863),x11865,x11863),x11863),f25(f27(f25(x11861,x11864,x11863),x11862,x11863),x11865,x11863))
% 2.91/2.98 [1256]~P6(x12565,f37(x12561,x12562,x12563,x12564),x12564)+E(f35(x12561,f35(f31(x12562,x12561,x12563,x12564),x12565)),x12565)
% 2.91/2.98 [1267]~P9(x12671,f34(f41(x12673,a2)),x12673,x12674)+E(f29(f37(x12671,x12672,x12673,x12674),f37(x12671,x12675,x12673,x12674),f41(x12674,a2)),f37(x12671,f29(x12672,x12675,f41(x12673,a2)),x12673,x12674))
% 2.91/2.98 [1268]~P9(x12681,f34(f41(x12683,a2)),x12683,x12684)+E(f4(f37(x12681,x12682,x12683,x12684),f37(x12681,x12685,x12683,x12684),f41(x12684,a2)),f37(x12681,f4(x12682,x12685,f41(x12683,a2)),x12683,x12684))
% 2.91/2.98 [1291]~P9(x12911,f36(x12912,x12913,x12914),x12914,x12915)+~P6(f35(x12911,x12912),f37(x12911,f4(x12913,f36(x12912,f28(f41(x12914,a2)),x12914),f41(x12914,a2)),x12914,x12915),x12915)
% 2.91/2.98 [1211]~P64(x12113)+E(f25(f27(x12111,x12112,x12113),f25(f27(f4(x12114,x12111,x12113),x12112,x12113),x12115,x12113),x12113),f25(f27(x12114,x12112,x12113),x12115,x12113))
% 2.91/2.98 [1246]E(f35(x12461,x12462),x12463)+~P6(x12462,f39(x12461,f36(x12463,f28(f41(x12464,a2)),x12464),x12465,x12464),x12465)
% 2.91/2.98 [1247]~P11(x12471,x12474,a1)+E(f4(f25(f27(x12471,x12472,a1),x12473,a1),f25(f27(x12474,x12472,a1),x12475,a1),a1),f4(x12473,f25(f27(f4(x12474,x12471,a1),x12472,a1),x12475,a1),a1))
% 2.91/2.98 [1248]~P11(x12484,x12481,a1)+E(f4(f25(f27(x12481,x12482,a1),x12483,a1),f25(f27(x12484,x12482,a1),x12485,a1),a1),f4(f25(f27(f4(x12481,x12484,a1),x12482,a1),x12483,a1),x12485,a1))
% 2.91/2.98 [1282]E(x12821,x12822)+E(f35(f21(x12823,x12821,x12824,x12825,x12826),x12822),f35(x12823,x12822))
% 2.91/2.98 [1288]P6(x12882,x12886,x12884)+E(f37(f21(x12881,x12882,x12883,x12884,x12885),x12886,x12884,x12885),f37(x12881,x12886,x12884,x12885))
% 2.91/2.98 [1304]~P6(x13044,x13043,x13045)+E(f36(x13041,f37(x13042,f4(x13043,f36(x13044,f28(f41(x13045,a2)),x13045),f41(x13045,a2)),x13045,x13046),x13046),f37(f21(x13042,x13044,x13041,x13045,x13046),x13043,x13045,x13046))
% 2.91/2.98 [1305]E(x13051,x13052)+E(f21(f21(x13053,x13051,x13054,x13055,x13056),x13052,x13057,x13055,x13056),f21(f21(x13053,x13052,x13057,x13055,x13056),x13051,x13054,x13055,x13056))
% 2.91/2.98 [617]~P2(x6171)+~P11(f24(x6171),f24(x6171),x6171)+E(f25(f24(x6171),f24(x6171),x6171),f24(x6171))
% 2.91/2.98 [512]E(x5121,x5122)+P8(x5122,x5121,a1)+P8(x5121,x5122,a1)
% 2.91/2.98 [545]E(x5451,x5452)+P8(x5451,x5452,a1)+~P11(x5451,x5452,a1)
% 2.91/2.98 [586]E(x5861,x5862)+~P7(x5862,x5861,a1)+~P7(x5861,x5862,a1)
% 2.91/2.98 [587]E(x5871,x5872)+~P11(x5872,x5871,a1)+~P11(x5871,x5872,a1)
% 2.91/2.98 [430]~P16(x4302)+~P16(x4301)+P16(f41(x4301,x4302))
% 2.91/2.98 [475]~P54(x4752)+~P18(x4752)+E(f4(x4751,x4751,x4752),f24(x4752))
% 2.91/2.98 [493]~E(f27(x4932,x4931,a1),x4932)+E(x4931,f26(a1))+E(x4932,f24(a1))
% 2.91/2.98 [499]E(x4991,f24(a1))+E(x4992,f24(a1))+~E(f27(x4992,x4991,a1),f24(a1))
% 2.91/2.98 [505]~P32(x5052)+~E(f25(x5051,x5051,x5052),f24(x5052))+E(x5051,f24(x5052))
% 2.91/2.98 [509]~P1(x5092)+~P7(f24(x5092),x5091,x5092)+E(x5091,f24(x5092))
% 2.91/2.98 [595]E(x5951,x5952)+~E(f4(x5952,x5951,a1),f24(a1))+~E(f4(x5951,x5952,a1),f24(a1))
% 2.91/2.98 [615]~P49(x6151)+P8(f24(x6151),f32(x6152,x6151),x6151)+~P8(f24(a1),x6152,a1)
% 2.91/2.98 [635]~P49(x6352)+~P8(f24(x6352),f32(x6351,x6352),x6352)+P8(f24(a1),x6351,a1)
% 2.91/2.98 [662]~P7(x6621,x6622,a1)+P11(x6621,x6622,a1)+~P8(f24(a1),x6622,a1)
% 2.91/2.98 [733]~P7(x7332,x7331,a1)+~P8(x7331,x7332,a1)+~P8(f24(a1),x7331,a1)
% 2.91/2.98 [747]~P32(x7471)+~P8(f24(x7471),x7472,x7471)+P8(f24(x7471),f25(x7472,x7472,x7471),x7471)
% 2.91/2.98 [748]~P32(x7481)+~P11(f24(x7481),x7482,x7481)+P11(f24(x7481),f25(x7482,x7482,x7481),x7481)
% 2.91/2.98 [749]~P32(x7492)+~P8(x7491,f24(x7492),x7492)+P8(f25(x7491,x7491,x7492),f24(x7492),x7492)
% 2.91/2.98 [750]~P56(x7502)+~P8(x7501,f24(x7502),x7502)+P8(f25(x7501,x7501,x7502),f24(x7502),x7502)
% 2.91/2.98 [751]~P32(x7512)+~P11(x7511,f24(x7512),x7512)+P11(f25(x7511,x7511,x7512),f24(x7512),x7512)
% 2.91/2.98 [843]~P32(x8432)+~P8(f25(x8431,x8431,x8432),f24(x8432),x8432)+P8(x8431,f24(x8432),x8432)
% 2.91/2.98 [844]~P56(x8442)+~P8(f25(x8441,x8441,x8442),f24(x8442),x8442)+P8(x8441,f24(x8442),x8442)
% 2.91/2.98 [845]~P32(x8452)+~P11(f25(x8451,x8451,x8452),f24(x8452),x8452)+P11(x8451,f24(x8452),x8452)
% 2.91/2.98 [846]~P32(x8461)+~P8(f24(x8461),f25(x8462,x8462,x8461),x8461)+P8(f24(x8461),x8462,x8461)
% 2.91/2.98 [847]~P32(x8471)+~P11(f24(x8471),f25(x8472,x8472,x8471),x8471)+P11(f24(x8471),x8472,x8471)
% 2.91/2.98 [848]P8(f4(x8481,x8482,a1),x8481,a1)+~P8(f24(a1),x8482,a1)+~P8(f24(a1),x8481,a1)
% 2.91/2.98 [852]~P8(f24(a1),x8522,a1)+~P8(f24(a1),x8521,a1)+P8(f24(a1),f27(x8521,x8522,a1),a1)
% 2.91/2.98 [853]~P7(f27(x8532,x8531,a1),x8532,a1)+E(x8531,f26(a1))+~P8(f24(a1),x8532,a1)
% 2.91/2.98 [854]~P7(f27(x8541,x8542,a1),x8542,a1)+E(x8541,f26(a1))+~P8(f24(a1),x8542,a1)
% 2.91/2.98 [905]P8(f24(a1),x9051,a1)+P8(f24(a1),x9052,a1)+~P8(f24(a1),f25(x9051,x9052,a1),a1)
% 2.91/2.98 [479]~P54(x4792)+~P18(x4792)+E(f25(x4791,f24(x4792),x4792),x4791)
% 2.91/2.98 [480]~P5(x4801,x4802)+~E(f5(x4801,x4802),f24(a1))+E(x4801,f28(f41(x4802,a2)))
% 2.91/2.98 [536]~P5(x5361,x5362)+P8(f24(a1),f5(x5361,x5362),a1)+E(x5361,f28(f41(x5362,a2)))
% 2.91/2.98 [618]E(x6181,f24(a1))+E(x6182,f24(a1))+~E(f25(x6182,x6181,a1),f25(f24(a1),f26(a1),a1))
% 2.91/2.98 [619]E(x6191,f24(a1))+E(x6192,f24(a1))+~E(f25(f24(a1),f26(a1),a1),f25(x6192,x6191,a1))
% 2.91/2.98 [683]E(x6831,f24(a1))+E(x6831,f25(f24(a1),f26(a1),a1))+~E(f25(x6832,x6831,a1),f25(f24(a1),f26(a1),a1))
% 2.91/2.98 [684]E(x6841,f24(a1))+E(x6841,f25(f24(a1),f26(a1),a1))+~E(f25(x6841,x6842,a1),f25(f24(a1),f26(a1),a1))
% 2.91/2.98 [685]E(x6851,f24(a1))+E(x6851,f25(f24(a1),f26(a1),a1))+~E(f25(f24(a1),f26(a1),a1),f25(x6852,x6851,a1))
% 2.91/2.98 [686]E(x6861,f24(a1))+E(x6861,f25(f24(a1),f26(a1),a1))+~E(f25(f24(a1),f26(a1),a1),f25(x6861,x6862,a1))
% 2.91/2.98 [767]E(x7671,f25(f24(a1),f26(a1),a1))+E(x7672,f25(f24(a1),f26(a1),a1))+~E(f25(x7672,x7671,a1),f25(f24(a1),f26(a1),a1))
% 2.91/2.98 [768]E(x7681,f25(f24(a1),f26(a1),a1))+E(x7682,f25(f24(a1),f26(a1),a1))+~E(f25(f24(a1),f26(a1),a1),f25(x7682,x7681,a1))
% 2.91/2.98 [778]~P8(x7781,x7782,a1)+P8(f25(x7781,f26(a1),a1),x7782,a1)+E(f25(x7781,f26(a1),a1),x7782)
% 2.91/2.98 [792]E(x7921,x7922)+P8(x7922,x7921,a1)+~P8(x7922,f25(x7921,f26(a1),a1),a1)
% 2.91/2.98 [794]E(x7941,x7942)+P8(x7941,x7942,a1)+~P8(x7941,f25(x7942,f26(a1),a1),a1)
% 2.91/2.98 [867]E(x8671,x8672)+~P11(x8672,x8671,a1)+~P8(x8671,f25(x8672,f26(a1),a1),a1)
% 2.91/2.98 [934]P11(x9341,x9342,a1)+~P11(x9341,f25(x9342,f26(a1),a1),a1)+E(x9341,f25(x9342,f26(a1),a1))
% 2.91/2.98 [1158]P8(x11581,f27(x11582,x11581,a1),a1)+~P8(f25(f24(a1),f26(a1),a1),x11582,a1)+~P8(f25(f24(a1),f26(a1),a1),x11581,a1)
% 2.91/2.98 [1159]P8(x11591,f27(x11591,x11592,a1),a1)+~P8(f25(f24(a1),f26(a1),a1),x11592,a1)+~P8(f25(f24(a1),f26(a1),a1),x11591,a1)
% 2.91/2.98 [1174]~P8(f25(f24(a1),f26(a1),a1),x11742,a1)+~P8(f25(f24(a1),f26(a1),a1),x11741,a1)+P8(f25(f24(a1),f26(a1),a1),f27(x11741,x11742,a1),a1)
% 2.91/2.98 [1175]~P11(f25(f24(a1),f26(a1),a1),x11752,a1)+~P11(f25(f24(a1),f26(a1),a1),x11751,a1)+P11(f25(f24(a1),f26(a1),a1),f27(x11751,x11752,a1),a1)
% 2.91/2.98 [735]E(x7351,f34(f41(x7352,a2)))+~P5(f34(f41(x7352,a2)),x7352)+~E(f5(x7351,x7352),f5(f34(f41(x7352,a2)),x7352))
% 2.91/2.98 [528]P11(x5282,x5281,x5283)+~P39(x5283)+P8(x5281,x5282,x5283)
% 2.91/2.98 [530]P11(x5302,x5301,x5303)+~P39(x5303)+P11(x5301,x5302,x5303)
% 2.91/2.98 [551]~P37(x5513)+~P8(x5511,x5512,x5513)+P11(x5511,x5512,x5513)
% 2.91/2.98 [552]~P38(x5523)+~P8(x5521,x5522,x5523)+P11(x5521,x5522,x5523)
% 2.91/2.98 [599]~P8(x5993,x5992,x5991)+~P37(x5991)+~P8(x5992,x5993,x5991)
% 2.91/2.98 [600]~P11(x6003,x6002,x6001)+~P37(x6001)+~P8(x6002,x6003,x6001)
% 2.91/2.98 [601]~P8(x6013,x6012,x6011)+~P38(x6011)+~P8(x6012,x6013,x6011)
% 2.91/2.98 [602]~P8(x6023,x6022,x6021)+~P39(x6021)+~P8(x6022,x6023,x6021)
% 2.91/2.98 [604]~P11(x6043,x6042,x6041)+~P39(x6041)+~P8(x6042,x6043,x6041)
% 2.91/2.98 [653]~P7(x6531,x6533,a1)+P7(x6531,x6532,a1)+~P7(x6533,x6532,a1)
% 2.91/2.98 [654]~P11(x6541,x6543,a1)+P11(x6541,x6542,a1)+~P11(x6543,x6542,a1)
% 2.91/2.98 [431]~P19(x4313)+E(x4311,x4312)+~E(f32(x4311,x4313),f32(x4312,x4313))
% 2.91/2.98 [432]~P39(x4323)+E(x4321,x4322)+~E(f38(x4321,x4323),f38(x4322,x4323))
% 2.91/2.98 [501]~P22(x5013)+E(x5011,x5012)+~E(f4(x5011,x5012,x5013),f24(x5013))
% 2.91/2.98 [502]~P31(x5023)+E(x5021,x5022)+~E(f4(x5021,x5022,x5023),f24(x5023))
% 2.91/2.98 [504]~P15(x5042)+~E(f29(x5043,x5041,x5042),f34(x5042))+E(x5041,f34(x5042))
% 2.91/2.98 [506]~P15(x5062)+~E(f29(x5061,x5063,x5062),f34(x5062))+E(x5061,f34(x5062))
% 2.91/2.98 [553]~P20(x5533)+~P11(x5532,x5531,x5533)+E(f29(x5531,x5532,x5533),x5532)
% 2.91/2.98 [554]~P20(x5543)+~P11(x5541,x5542,x5543)+E(f29(x5541,x5542,x5543),x5541)
% 2.91/2.98 [555]~P20(x5553)+P11(x5551,x5552,x5553)+~E(f29(x5551,x5552,x5553),x5551)
% 2.91/2.98 [564]~P3(x5643)+~P7(x5642,x5641,x5643)+E(f6(x5641,x5642,x5643),f24(x5643))
% 2.91/2.98 [565]~P3(x5653)+P7(x5651,x5652,x5653)+~E(f6(x5652,x5651,x5653),f24(x5653))
% 2.91/2.98 [567]P5(x5671,x5672)+~P5(x5673,x5672)+~P11(x5671,x5673,f41(x5672,a2))
% 2.91/2.98 [591]E(x5911,x5912)+~E(f27(x5913,x5911,a1),f27(x5913,x5912,a1))+E(x5913,f24(a1))
% 2.91/2.98 [592]E(x5921,x5922)+~E(f27(x5921,x5923,a1),f27(x5922,x5923,a1))+E(x5923,f24(a1))
% 2.91/2.98 [593]~P17(x5933)+~P11(x5932,x5931,x5933)+P6(x5931,f38(x5932,x5933),x5933)
% 2.91/2.98 [621]~P17(x6213)+P11(x6211,x6212,x6213)+~P6(x6212,f38(x6211,x6213),x6213)
% 2.91/2.98 [628]~P49(x6282)+~P8(x6281,x6283,a1)+P8(f32(x6281,x6282),f32(x6283,x6282),x6282)
% 2.91/2.98 [629]~P49(x6292)+~P11(x6291,x6293,a1)+P11(f32(x6291,x6292),f32(x6293,x6292),x6292)
% 2.91/2.98 [641]E(x6411,x6412)+~P11(x6411,x6412,f41(x6413,a2))+P8(x6411,x6412,f41(x6413,a2))
% 2.91/2.98 [647]~P4(x6473)+~P11(x6471,f35(x6472,x6471),x6473)+P11(x6471,f30(x6472,x6473),x6473)
% 2.91/2.98 [661]~P38(x6612)+~P11(x6613,x6611,x6612)+P11(f38(x6611,x6612),f38(x6613,x6612),f41(x6612,a2))
% 2.91/2.98 [663]~P49(x6633)+~P8(f32(x6631,x6633),f32(x6632,x6633),x6633)+P8(x6631,x6632,a1)
% 2.91/2.98 [664]~P49(x6643)+~P11(f32(x6641,x6643),f32(x6642,x6643),x6643)+P11(x6641,x6642,a1)
% 2.91/2.98 [709]E(x7091,x7092)+~P11(x7091,x7092,f41(x7093,a2))+~P11(x7092,x7091,f41(x7093,a2))
% 2.91/2.98 [721]~P5(x7213,x7212)+~P8(x7211,x7213,f41(x7212,a2))+P8(f5(x7211,x7212),f5(x7213,x7212),a1)
% 2.91/2.98 [722]~P5(x7223,x7222)+~P11(x7221,x7223,f41(x7222,a2))+P11(f5(x7221,x7222),f5(x7223,x7222),a1)
% 2.91/2.98 [734]E(x7341,x7342)+~E(f27(x7343,x7341,a1),f27(x7343,x7342,a1))+~P8(f24(a1),x7343,a1)
% 2.91/2.98 [736]~P35(x7363)+~P8(x7361,x7362,x7363)+P8(f4(x7361,x7362,x7363),f24(x7363),x7363)
% 2.91/2.98 [737]~P35(x7373)+~P11(x7371,x7372,x7373)+P11(f4(x7371,x7372,x7373),f24(x7373),x7373)
% 2.91/2.98 [745]~P38(x7453)+P11(x7451,x7452,x7453)+~P11(f38(x7452,x7453),f38(x7451,x7453),f41(x7453,a2))
% 2.91/2.98 [816]~P7(x8161,x8163,a1)+~P7(x8161,x8162,a1)+P7(x8161,f4(x8162,x8163,a1),a1)
% 2.91/2.98 [817]~P35(x8173)+P8(x8171,x8172,x8173)+~P8(f4(x8171,x8172,x8173),f24(x8173),x8173)
% 2.91/2.98 [818]~P35(x8183)+P11(x8181,x8182,x8183)+~P11(f4(x8181,x8182,x8183),f24(x8183),x8183)
% 2.91/2.98 [980]~P8(x9801,x9803,a1)+~P11(x9802,x9801,a1)+P8(f4(x9801,x9802,a1),f4(x9803,x9802,a1),a1)
% 2.91/2.98 [981]~P8(x9813,x9812,a1)+~P8(x9813,x9811,a1)+P8(f4(x9811,x9812,a1),f4(x9811,x9813,a1),a1)
% 2.91/2.98 [987]~P8(x9871,x9873,a1)+P8(f27(x9871,x9872,a1),f27(x9873,x9872,a1),a1)+~P8(f24(a1),x9872,a1)
% 2.91/2.98 [990]~P8(x9902,x9903,a1)+P8(f27(x9901,x9902,a1),f27(x9901,x9903,a1),a1)+~P8(f24(a1),x9901,a1)
% 2.91/2.98 [1049]P7(x10492,x10493,a1)+E(x10491,f24(a1))+~P7(f27(x10491,x10492,a1),f27(x10491,x10493,a1),a1)
% 2.91/2.98 [1068]~P11(x10683,x10682,a1)+~P11(f25(x10681,x10683,a1),x10682,a1)+P11(x10681,f4(x10682,x10683,a1),a1)
% 2.91/2.98 [1069]~P11(x10692,x10693,a1)+~P11(x10691,f4(x10693,x10692,a1),a1)+P11(f25(x10691,x10692,a1),x10693,a1)
% 2.91/2.98 [1106]P7(x11061,x11062,a1)+~P7(f27(x11063,x11061,a1),f27(x11063,x11062,a1),a1)+~P8(f24(a1),x11063,a1)
% 2.91/2.98 [1108]P11(x11081,x11082,a1)+~P11(f27(x11083,x11081,a1),f27(x11083,x11082,a1),a1)+~P8(f24(a1),x11083,a1)
% 2.91/2.98 [1109]P11(x11091,x11092,a1)+~P11(f27(x11091,x11093,a1),f27(x11092,x11093,a1),a1)+~P8(f24(a1),x11093,a1)
% 2.91/2.98 [1225]~P5(x12252,x12253)+P9(x12251,x12252,x12253,x12253)+~P11(x12252,f37(x12251,x12252,x12253,x12253),f41(x12253,a2))
% 2.91/2.98 [705]~P5(x7052,x7053)+~P6(x7051,x7052,x7053)+E(f5(f36(x7051,x7052,x7053),x7053),f5(x7052,x7053))
% 2.91/2.98 [753]P6(x7533,x7531,x7532)+E(f5(x7531,x7532),f24(a1))+E(f5(f36(x7533,x7531,x7532),x7532),f25(f5(x7531,x7532),f26(a1),a1))
% 2.91/2.98 [756]P6(x7561,x7562,x7563)+~P5(x7562,x7563)+E(f5(f36(x7561,x7562,x7563),x7563),f25(f5(x7562,x7563),f26(a1),a1))
% 2.91/2.98 [770]P5(x7701,x7702)+~P5(x7703,x7702)+~P5(f4(x7701,x7703,f41(x7702,a2)),x7702)
% 2.91/2.98 [796]~P63(x7962)+~P11(x7963,x7961,a1)+E(f4(f32(x7961,x7962),f32(x7963,x7962),x7962),f32(f4(x7961,x7963,a1),x7962))
% 2.91/2.98 [820]P66(f35(x8201,x8202))+P66(f35(x8201,x8203))+~P11(f25(x8202,f26(a1),a1),f7(x8201),a1)
% 2.91/2.98 [842]~P8(x8421,x8423,a1)+~P8(x8423,x8422,a1)+P8(f25(x8421,f26(a1),a1),x8422,a1)
% 2.91/2.98 [884]~P66(f35(x8841,x8842))+~P66(f35(x8841,f13(x8841)))+P66(f35(x8841,f4(x8842,x8843,a1)))
% 2.91/2.98 [906]P11(x9063,f33(x9061,x9063),a1)+P66(f35(x9061,x9062))+~P11(f25(x9063,f26(a1),a1),x9062,a1)
% 2.91/2.98 [1008]~P57(x10082)+E(x10081,f24(x10082))+~E(f25(f27(x10083,x10083,x10082),f27(x10081,x10081,x10082),x10082),f24(x10082))
% 2.91/2.98 [1009]~P57(x10092)+E(x10091,f24(x10092))+~E(f25(f27(x10091,x10091,x10092),f27(x10093,x10093,x10092),x10092),f24(x10092))
% 2.91/2.98 [1058]~P11(x10582,x10583,a1)+~P11(x10582,x10581,a1)+E(f4(f4(x10581,x10582,a1),f4(x10583,x10582,a1),a1),f4(x10581,x10583,a1))
% 2.91/2.98 [1072]~P8(x10722,x10723,a1)+~P66(f35(x10721,f4(x10722,x10723,a1)))+P66(f35(x10721,f24(a1)))
% 2.91/2.98 [1128]~P57(x11282)+E(x11281,f24(x11282))+P8(f24(x11282),f25(f27(x11283,x11283,x11282),f27(x11281,x11281,x11282),x11282),x11282)
% 2.91/2.98 [1129]~P57(x11292)+E(x11291,f24(x11292))+P8(f24(x11292),f25(f27(x11291,x11291,x11292),f27(x11293,x11293,x11292),x11292),x11292)
% 2.91/2.98 [1199]~P57(x11992)+E(x11991,f24(x11992))+~P11(f25(f27(x11993,x11993,x11992),f27(x11991,x11991,x11992),x11992),f24(x11992),x11992)
% 2.91/2.98 [1200]~P57(x12002)+E(x12001,f24(x12002))+~P11(f25(f27(x12001,x12001,x12002),f27(x12003,x12003,x12002),x12002),f24(x12002),x12002)
% 2.91/2.98 [1237]~P5(x12371,x12373)+~P6(x12372,x12371,x12373)+E(f25(f5(f4(x12371,f36(x12372,f28(f41(x12373,a2)),x12373),f41(x12373,a2)),x12373),f26(a1),a1),f5(x12371,x12373))
% 2.91/2.98 [970]~P5(x9703,x9702)+~P11(x9703,x9701,f41(x9702,a2))+E(f4(f5(x9701,x9702),f5(x9703,x9702),a1),f5(f4(x9701,x9703,f41(x9702,a2)),x9702))
% 2.91/2.98 [1112]~P66(f35(x11121,x11122))+P66(f35(x11121,f4(x11122,x11123,a1)))+P66(f35(x11121,f25(f13(x11121),f26(a1),a1)))
% 2.91/2.98 [1123]~P11(x11231,f36(x11233,f28(f41(x11232,a2)),x11232),f41(x11232,a2))+E(x11231,f28(f41(x11232,a2)))+E(x11231,f36(x11233,f28(f41(x11232,a2)),x11232))
% 2.91/2.98 [1157]P6(x11572,x11571,x11573)+~P5(x11571,x11573)+E(f5(f4(x11571,f36(x11572,f28(f41(x11573,a2)),x11573),f41(x11573,a2)),x11573),f5(x11571,x11573))
% 2.91/2.98 [1169]~P5(x11691,x11693)+~P6(x11692,x11691,x11693)+E(f5(f4(x11691,f36(x11692,f28(f41(x11693,a2)),x11693),f41(x11693,a2)),x11693),f4(f5(x11691,x11693),f26(a1),a1))
% 2.91/2.98 [1183]P66(f35(x11831,x11832))+~P11(f25(x11833,f26(a1),a1),x11832,a1)+~P66(f35(x11831,f25(f33(x11831,x11833),f26(a1),a1)))
% 2.91/2.98 [1238]~P5(x12381,x12383)+~P6(x12382,x12381,x12383)+P8(f5(f4(x12381,f36(x12382,f28(f41(x12383,a2)),x12383),f41(x12383,a2)),x12383),f5(x12381,x12383),a1)
% 2.91/2.98 [606]~P23(x6064)+E(x6061,x6062)+~E(f25(x6063,x6061,x6064),f25(x6063,x6062,x6064))
% 2.91/2.98 [607]~P26(x6074)+E(x6071,x6072)+~E(f25(x6073,x6071,x6074),f25(x6073,x6072,x6074))
% 2.91/2.98 [608]~P22(x6084)+E(x6081,x6082)+~E(f4(x6083,x6083,x6084),f4(x6081,x6082,x6084))
% 2.91/2.98 [609]~P26(x6094)+E(x6091,x6092)+~E(f25(x6091,x6093,x6094),f25(x6092,x6093,x6094))
% 2.91/2.98 [610]~P22(x6103)+E(x6101,x6102)+~E(f4(x6101,x6102,x6103),f4(x6104,x6104,x6103))
% 2.91/2.98 [637]~P11(x6373,x6371,f41(x6374,a2))+P66(f35(x6371,x6372))+~P66(f35(x6373,x6372))
% 2.91/2.98 [646]~P17(x6464)+P11(x6461,x6462,f41(x6463,x6464))+~P8(x6461,x6462,f41(x6463,x6464))
% 2.91/2.98 [725]~P1(x7254)+~P7(x7251,x7253,x7254)+P7(x7251,f27(x7252,x7253,x7254),x7254)
% 2.91/2.98 [726]~P1(x7264)+~P7(x7261,x7262,x7264)+P7(x7261,f27(x7262,x7263,x7264),x7264)
% 2.91/2.98 [727]~P20(x7273)+~P8(x7272,x7274,x7273)+P8(f29(x7271,x7272,x7273),x7274,x7273)
% 2.91/2.98 [728]~P20(x7283)+~P8(x7281,x7284,x7283)+P8(f29(x7281,x7282,x7283),x7284,x7283)
% 2.91/2.98 [729]~P20(x7293)+~P11(x7292,x7294,x7293)+P11(f29(x7291,x7292,x7293),x7294,x7293)
% 2.91/2.98 [730]~P20(x7303)+~P11(x7301,x7304,x7303)+P11(f29(x7301,x7302,x7303),x7304,x7303)
% 2.91/2.98 [738]~P17(x7381)+~P8(x7382,x7383,f41(x7384,x7381))+~P11(x7383,x7382,f41(x7384,x7381))
% 2.91/2.98 [740]P6(x7401,x7402,x7403)+~P6(x7401,x7404,x7403)+~P8(x7404,x7402,f41(x7403,a2))
% 2.91/2.98 [744]P6(x7441,x7442,x7443)+~P6(x7441,x7444,x7443)+~P11(x7444,x7442,f41(x7443,a2))
% 2.91/2.98 [777]~P8(x7774,x7773,a1)+P8(x7771,x7772,a1)+~E(f25(x7771,x7773,a1),f25(x7774,x7772,a1))
% 2.91/2.98 [791]E(x7911,x7912)+P6(x7911,x7913,x7914)+~P6(x7911,f36(x7912,x7913,x7914),x7914)
% 2.91/2.98 [798]~P20(x7983)+P11(x7981,x7982,x7983)+~P11(x7981,f29(x7984,x7982,x7983),x7983)
% 2.91/2.98 [800]~P20(x8003)+P11(x8001,x8002,x8003)+~P11(x8001,f29(x8002,x8004,x8003),x8003)
% 2.91/2.98 [801]~P1(x8013)+P7(x8011,x8012,x8013)+~P7(f27(x8014,x8011,x8013),x8012,x8013)
% 2.91/2.98 [802]~P1(x8023)+P7(x8021,x8022,x8023)+~P7(f27(x8021,x8024,x8023),x8022,x8023)
% 2.91/2.98 [812]~P8(x8121,x8124,f41(x8123,a2))+~P8(x8124,x8122,f41(x8123,a2))+P8(x8121,x8122,f41(x8123,a2))
% 2.91/2.98 [813]~P11(x8131,x8134,f41(x8133,a2))+~P8(x8134,x8132,f41(x8133,a2))+P8(x8131,x8132,f41(x8133,a2))
% 2.91/2.98 [814]~P11(x8144,x8142,f41(x8143,a2))+~P8(x8141,x8144,f41(x8143,a2))+P8(x8141,x8142,f41(x8143,a2))
% 2.91/2.98 [815]~P11(x8151,x8154,f41(x8153,a2))+~P11(x8154,x8152,f41(x8153,a2))+P11(x8151,x8152,f41(x8153,a2))
% 2.91/2.98 [895]~P27(x8953)+~P8(x8951,x8954,x8953)+P8(f25(x8951,x8952,x8953),f25(x8954,x8952,x8953),x8953)
% 2.91/2.98 [896]~P36(x8963)+~P8(x8961,x8964,x8963)+P8(f25(x8961,x8962,x8963),f25(x8964,x8962,x8963),x8963)
% 2.91/2.98 [897]~P27(x8973)+~P8(x8972,x8974,x8973)+P8(f25(x8971,x8972,x8973),f25(x8971,x8974,x8973),x8973)
% 2.91/2.98 [898]~P36(x8983)+~P8(x8982,x8984,x8983)+P8(f25(x8981,x8982,x8983),f25(x8981,x8984,x8983),x8983)
% 2.91/2.98 [899]~P54(x8993)+~P7(x8991,x8994,x8993)+P7(f27(x8991,x8992,x8993),f27(x8994,x8992,x8993),x8993)
% 2.91/2.98 [900]~P54(x9003)+~P7(x9002,x9004,x9003)+P7(f27(x9001,x9002,x9003),f27(x9001,x9004,x9003),x9003)
% 2.91/2.98 [901]~P27(x9013)+~P11(x9011,x9014,x9013)+P11(f25(x9011,x9012,x9013),f25(x9014,x9012,x9013),x9013)
% 2.91/2.98 [902]~P34(x9023)+~P11(x9021,x9024,x9023)+P11(f25(x9021,x9022,x9023),f25(x9024,x9022,x9023),x9023)
% 2.91/2.98 [903]~P27(x9033)+~P11(x9032,x9034,x9033)+P11(f25(x9031,x9032,x9033),f25(x9031,x9034,x9033),x9033)
% 2.91/2.98 [904]~P34(x9043)+~P11(x9042,x9044,x9043)+P11(f25(x9041,x9042,x9043),f25(x9041,x9044,x9043),x9043)
% 2.91/2.98 [951]~P6(x9512,x9513,x9514)+~P8(x9511,x9513,f41(x9514,a2))+P8(x9511,f36(x9512,x9513,x9514),f41(x9514,a2))
% 2.91/2.98 [952]~P6(x9521,x9524,x9523)+~P11(x9522,x9524,f41(x9523,a2))+P11(f36(x9521,x9522,x9523),x9524,f41(x9523,a2))
% 2.91/2.98 [975]P6(x9751,x9752,x9753)+~P11(x9752,f36(x9751,x9754,x9753),f41(x9753,a2))+P11(x9752,x9754,f41(x9753,a2))
% 2.91/2.98 [979]~P8(x9792,x9794,a1)+~P8(x9791,x9793,a1)+P8(f25(x9791,x9792,a1),f25(x9793,x9794,a1),a1)
% 2.91/2.98 [982]~P11(x9822,x9824,a1)+~P11(x9821,x9823,a1)+P11(f27(x9821,x9822,a1),f27(x9823,x9824,a1),a1)
% 2.91/2.98 [983]~P11(x9832,x9834,a1)+~P11(x9831,x9833,a1)+P11(f25(x9831,x9832,a1),f25(x9833,x9834,a1),a1)
% 2.91/2.98 [1018]~P6(x10184,x10182,x10183)+~P8(x10181,f36(x10184,x10182,x10183),f41(x10183,a2))+P8(x10181,x10182,f41(x10183,a2))
% 2.91/2.98 [1063]~P27(x10633)+P8(x10631,x10632,x10633)+~P8(f25(x10634,x10631,x10633),f25(x10634,x10632,x10633),x10633)
% 2.91/2.98 [1064]~P27(x10643)+P8(x10641,x10642,x10643)+~P8(f25(x10641,x10644,x10643),f25(x10642,x10644,x10643),x10643)
% 2.91/2.98 [1065]~P27(x10653)+P11(x10651,x10652,x10653)+~P11(f25(x10654,x10651,x10653),f25(x10654,x10652,x10653),x10653)
% 2.91/2.98 [1066]~P27(x10663)+P11(x10661,x10662,x10663)+~P11(f25(x10661,x10664,x10663),f25(x10662,x10664,x10663),x10663)
% 2.91/2.98 [1229]P5(x12291,x12292)+~P9(x12293,x12291,x12292,x12294)+~P5(f37(x12293,x12291,x12292,x12294),x12294)
% 2.91/2.98 [785]~P3(x7853)+~P7(x7854,x7852,x7853)+E(f6(f6(x7851,x7852,x7853),x7854,x7853),f6(x7851,x7854,x7853))
% 2.91/2.98 [851]~P6(x8514,x8512,x8513)+~P6(x8514,x8511,x8513)+~E(f29(x8511,x8512,f41(x8513,a2)),f28(f41(x8513,a2)))
% 2.91/2.98 [882]~P6(x8821,x8824,x8823)+P6(x8821,x8822,x8823)+P6(x8821,f4(x8824,x8822,f41(x8823,a2)),x8823)
% 2.91/2.98 [936]~P6(x9361,x9364,x9363)+~P11(x9364,f35(x9362,x9364),f41(x9363,a2))+P6(x9361,f30(x9362,f41(x9363,a2)),x9363)
% 2.91/2.98 [938]~P6(x9381,x9383,x9384)+~P6(x9381,x9382,x9384)+P6(x9381,f29(x9382,x9383,f41(x9384,a2)),x9384)
% 2.91/2.98 [969]E(x9691,x9692)+P66(f35(x9693,x9691))+~P66(f35(f36(x9692,x9693,x9694),x9691))
% 2.91/2.98 [1053]~P11(x10531,x10532,f41(x10534,a2))+~P11(x10531,x10533,f41(x10534,a2))+P11(x10531,f29(x10532,x10533,f41(x10534,a2)),f41(x10534,a2))
% 2.91/2.98 [1054]~P11(x10541,x10542,f41(x10544,a2))+~P11(x10543,x10541,f41(x10544,a2))+E(f4(x10541,f4(x10542,x10543,f41(x10544,a2)),f41(x10544,a2)),x10543)
% 2.91/2.98 [1073]E(x10731,x10732)+E(x10733,f24(a1))+~E(f25(x10734,f27(x10733,x10731,a1),a1),f25(x10734,f27(x10733,x10732,a1),a1))
% 2.91/2.98 [1101]~P54(x11013)+~P18(x11013)+E(f25(f27(x11011,x11012,x11013),f27(x11011,x11014,x11013),x11013),f25(f27(x11011,x11014,x11013),f27(x11011,x11012,x11013),x11013))
% 2.91/2.98 [1177]E(x11771,x11772)+E(x11773,x11774)+~E(f25(f27(x11773,x11771,a1),f27(x11774,x11772,a1),a1),f25(f27(x11773,x11772,a1),f27(x11774,x11771,a1),a1))
% 2.91/2.98 [1202]~P5(x12022,x12024)+P5(f39(x12021,x12022,x12023,x12024),x12023)+~P9(x12021,f34(f41(x12023,a2)),x12023,x12024)
% 2.91/2.98 [1205]~P6(x12052,x12051,x12053)+~P11(x12051,f36(x12052,x12054,x12053),f41(x12053,a2))+P11(f4(x12051,f36(x12052,f28(f41(x12053,a2)),x12053),f41(x12053,a2)),x12054,f41(x12053,a2))
% 2.91/2.98 [1213]~P5(x12132,x12133)+P9(x12131,x12132,x12133,x12134)+~E(f5(f37(x12131,x12132,x12133,x12134),x12134),f5(x12132,x12133))
% 2.91/2.98 [1234]~P6(x12342,x12341,x12344)+P11(x12341,f36(x12342,x12343,x12344),f41(x12344,a2))+~P11(f4(x12341,f36(x12342,f28(f41(x12344,a2)),x12344),f41(x12344,a2)),x12343,f41(x12344,a2))
% 2.91/2.98 [984]~P66(f35(x9842,x9844))+~P66(f35(x9841,x9844))+P66(f35(f29(x9841,x9842,f41(x9843,a2)),x9844))
% 2.91/2.98 [1206]~P8(x12064,x12061,a1)+~P8(f24(a1),x12063,a1)+P8(f25(f27(x12061,f6(x12062,x12063,a1),a1),x12064,a1),f27(x12061,x12063,a1),a1)
% 2.91/2.98 [697]~P17(x6974)+P11(f35(x6971,x6972),f35(x6973,x6972),x6974)+~P11(x6971,x6973,f41(x6975,x6974))
% 2.91/2.98 [1167]P9(x11671,x11672,x11673,x11674)+~P9(x11671,x11675,x11673,x11674)+~P11(x11672,x11675,f41(x11673,a2))
% 2.91/2.98 [1193]P5(x11931,x11932)+~P5(x11933,x11934)+~P11(x11931,f37(x11935,x11933,x11934,x11932),f41(x11932,a2))
% 2.91/2.98 [1297]~P5(x12972,x12975)+~P11(x12972,f37(x12973,x12971,x12974,x12975),f41(x12975,a2))+P5(f11(x12971,x12972,x12973,x12974,x12975),x12974)
% 2.91/2.98 [1299]~P5(x12992,x12995)+~P11(x12992,f37(x12993,x12991,x12994,x12995),f41(x12995,a2))+P11(f11(x12991,x12992,x12993,x12994,x12995),x12991,f41(x12994,a2))
% 2.91/2.98 [958]~P22(x9583)+E(f25(x9581,x9582,x9583),x9584)+~E(f25(x9581,f25(x9585,x9582,x9583),x9583),f25(x9585,x9584,x9583))
% 2.91/2.98 [1080]E(x10801,x10802)+~E(f35(x10803,x10801),f35(x10803,x10802))+~P9(x10803,f34(f41(x10804,a2)),x10804,x10805)
% 2.91/2.98 [1134]~P11(x11341,x11344,f41(x11343,a2))+~P11(x11342,x11345,f41(x11343,a2))+P11(f29(x11341,x11342,f41(x11343,a2)),f29(x11344,x11345,f41(x11343,a2)),f41(x11343,a2))
% 2.91/2.98 [1135]~P11(x11351,x11354,f41(x11353,a2))+~P11(x11355,x11352,f41(x11353,a2))+P11(f4(x11351,x11352,f41(x11353,a2)),f4(x11354,x11355,f41(x11353,a2)),f41(x11353,a2))
% 2.91/2.98 [1204]~P6(x12045,x12041,x12043)+~P9(x12042,x12041,x12043,x12044)+E(f35(f31(x12041,x12042,x12043,x12044),f35(x12042,x12045)),x12045)
% 2.91/2.98 [1231]E(x12311,x12312)+~E(f37(x12313,x12311,x12314,x12315),f37(x12313,x12312,x12314,x12315))+~P9(x12313,f34(f41(x12314,a2)),x12314,x12315)
% 2.91/2.98 [1243]P6(x12431,x12432,x12433)+~P6(f35(x12434,x12431),f37(x12434,x12432,x12433,x12435),x12435)+~P9(x12434,f34(f41(x12433,a2)),x12433,x12435)
% 2.91/2.98 [1253]~P9(x12532,x12531,x12533,x12534)+~P11(x12535,x12531,f41(x12533,a2))+E(f37(f31(x12531,x12532,x12533,x12534),f37(x12532,x12535,x12533,x12534),x12534,x12533),x12535)
% 2.91/2.98 [1269]~P11(x12692,f37(x12691,x12695,x12693,x12694),f41(x12694,a2))+P11(f39(x12691,x12692,x12693,x12694),x12695,f41(x12693,a2))+~P9(x12691,f34(f41(x12693,a2)),x12693,x12694)
% 2.91/2.98 [1280]~P11(f37(x12804,x12801,x12803,x12805),f37(x12804,x12802,x12803,x12805),f41(x12805,a2))+P11(x12801,x12802,f41(x12803,a2))+~P9(x12804,f34(f41(x12803,a2)),x12803,x12805)
% 2.91/2.98 [1301]~P5(x13013,x13015)+~P11(x13013,f37(x13011,x13012,x13014,x13015),f41(x13015,a2))+E(f37(x13011,f11(x13012,x13013,x13011,x13014,x13015),x13014,x13015),x13013)
% 2.91/2.98 [1196]~P11(x11963,x11962,a1)+~E(f25(f27(x11963,x11964,a1),x11961,a1),f25(f27(x11962,x11964,a1),x11965,a1))+E(x11961,f25(f27(f4(x11962,x11963,a1),x11964,a1),x11965,a1))
% 2.91/2.98 [1197]~P11(x11972,x11971,a1)+~E(f25(f27(x11971,x11973,a1),x11974,a1),f25(f27(x11972,x11973,a1),x11975,a1))+E(f25(f27(f4(x11971,x11972,a1),x11973,a1),x11974,a1),x11975)
% 2.91/2.98 [1262]~P11(x12623,x12622,a1)+~P8(f25(f27(x12623,x12624,a1),x12621,a1),f25(f27(x12622,x12624,a1),x12625,a1),a1)+P8(x12621,f25(f27(f4(x12622,x12623,a1),x12624,a1),x12625,a1),a1)
% 2.91/2.98 [1263]~P11(x12633,x12632,a1)+~P11(f25(f27(x12633,x12634,a1),x12631,a1),f25(f27(x12632,x12634,a1),x12635,a1),a1)+P11(x12631,f25(f27(f4(x12632,x12633,a1),x12634,a1),x12635,a1),a1)
% 2.91/2.98 [1264]~P11(x12642,x12641,a1)+~P8(f25(f27(x12641,x12643,a1),x12644,a1),f25(f27(x12642,x12643,a1),x12645,a1),a1)+P8(f25(f27(f4(x12641,x12642,a1),x12643,a1),x12644,a1),x12645,a1)
% 2.91/2.98 [1265]~P11(x12652,x12651,a1)+~P11(f25(f27(x12651,x12653,a1),x12654,a1),f25(f27(x12652,x12653,a1),x12655,a1),a1)+P11(f25(f27(f4(x12651,x12652,a1),x12653,a1),x12654,a1),x12655,a1)
% 2.91/2.98 [1274]~P11(x12741,x12744,a1)+P8(f25(f27(x12741,x12742,a1),x12743,a1),f25(f27(x12744,x12742,a1),x12745,a1),a1)+~P8(x12743,f25(f27(f4(x12744,x12741,a1),x12742,a1),x12745,a1),a1)
% 2.91/2.98 [1275]~P11(x12751,x12754,a1)+P11(f25(f27(x12751,x12752,a1),x12753,a1),f25(f27(x12754,x12752,a1),x12755,a1),a1)+~P11(x12753,f25(f27(f4(x12754,x12751,a1),x12752,a1),x12755,a1),a1)
% 2.91/2.98 [1276]~P11(x12764,x12761,a1)+P8(f25(f27(x12761,x12762,a1),x12763,a1),f25(f27(x12764,x12762,a1),x12765,a1),a1)+~P8(f25(f27(f4(x12761,x12764,a1),x12762,a1),x12763,a1),x12765,a1)
% 2.91/2.98 [1277]~P11(x12774,x12771,a1)+P11(f25(f27(x12771,x12772,a1),x12773,a1),f25(f27(x12774,x12772,a1),x12775,a1),a1)+~P11(f25(f27(f4(x12771,x12774,a1),x12772,a1),x12773,a1),x12775,a1)
% 2.91/2.98 [1284]~P9(x12841,x12843,x12844,x12845)+P9(x12841,f36(x12842,x12843,x12844),x12844,x12845)+P6(f35(x12841,x12842),f37(x12841,f4(x12843,f36(x12842,f28(f41(x12844,a2)),x12844),f41(x12844,a2)),x12844,x12845),x12845)
% 2.91/2.98 [1178]E(x11781,x11782)+E(x11781,x11783)+~E(f36(x11784,f36(x11781,f28(f41(x11785,a2)),x11785),x11785),f36(x11783,f36(x11782,f28(f41(x11785,a2)),x11785),x11785))
% 2.91/2.98 [1179]E(x11791,x11792)+E(x11793,x11792)+~E(f36(x11793,f36(x11791,f28(f41(x11794,a2)),x11794),x11794),f36(x11795,f36(x11792,f28(f41(x11794,a2)),x11794),x11794))
% 2.91/2.98 [1180]E(x11801,x11802)+E(x11803,x11802)+~E(f36(x11803,f36(x11801,f28(f41(x11804,a2)),x11804),x11804),f36(x11802,f36(x11805,f28(f41(x11804,a2)),x11804),x11804))
% 2.91/2.98 [1181]E(x11811,x11812)+E(x11811,x11813)+~E(f36(x11811,f36(x11814,f28(f41(x11815,a2)),x11815),x11815),f36(x11813,f36(x11812,f28(f41(x11815,a2)),x11815),x11815))
% 2.91/2.98 [1209]~P6(x12092,x12095,x12096)+P6(f35(x12091,x12092),x12093,x12094)+~P11(f37(x12091,x12095,x12096,x12094),x12093,f41(x12094,a2))
% 2.91/2.98 [1302]~P9(x13022,x13023,x13024,x13025)+P9(f21(x13022,x13026,x13021,x13024,x13025),x13023,x13024,x13025)+P6(x13021,f37(x13022,x13023,x13024,x13025),x13025)
% 2.91/2.98 [1286]~P6(x12862,x12865,x12866)+P6(f35(x12861,x12862),f30(x12863,f41(x12864,a2)),x12864)+~P11(f37(x12861,x12865,x12866,x12864),f35(x12863,f37(x12861,x12865,x12866,x12864)),f41(x12864,a2))
% 2.91/2.98 [1187]~P64(x11874)+~E(f25(f27(x11873,x11875,x11874),x11871,x11874),f25(f27(x11872,x11875,x11874),x11876,x11874))+E(x11871,f25(f27(f4(x11872,x11873,x11874),x11875,x11874),x11876,x11874))
% 2.91/2.98 [1188]~P64(x11883)+~E(f25(f27(x11881,x11884,x11883),x11885,x11883),f25(f27(x11882,x11884,x11883),x11886,x11883))+E(f25(f27(f4(x11881,x11882,x11883),x11884,x11883),x11885,x11883),x11886)
% 2.91/2.98 [1257]~P61(x12574)+~P8(f25(f27(x12573,x12575,x12574),x12571,x12574),f25(f27(x12572,x12575,x12574),x12576,x12574),x12574)+P8(x12571,f25(f27(f4(x12572,x12573,x12574),x12575,x12574),x12576,x12574),x12574)
% 2.91/2.98 [1258]~P61(x12584)+~P11(f25(f27(x12583,x12585,x12584),x12581,x12584),f25(f27(x12582,x12585,x12584),x12586,x12584),x12584)+P11(x12581,f25(f27(f4(x12582,x12583,x12584),x12585,x12584),x12586,x12584),x12584)
% 2.91/2.98 [1259]~P61(x12593)+~P8(f25(f27(x12591,x12594,x12593),x12595,x12593),f25(f27(x12592,x12594,x12593),x12596,x12593),x12593)+P8(f25(f27(f4(x12591,x12592,x12593),x12594,x12593),x12595,x12593),x12596,x12593)
% 2.91/2.98 [1260]~P61(x12603)+~P11(f25(f27(x12601,x12604,x12603),x12605,x12603),f25(f27(x12602,x12604,x12603),x12606,x12603),x12603)+P11(f25(f27(f4(x12601,x12602,x12603),x12604,x12603),x12605,x12603),x12606,x12603)
% 2.91/2.98 [1270]~P61(x12703)+P8(f25(f27(x12701,x12702,x12703),x12704,x12703),f25(f27(x12705,x12702,x12703),x12706,x12703),x12703)+~P8(x12704,f25(f27(f4(x12705,x12701,x12703),x12702,x12703),x12706,x12703),x12703)
% 2.91/2.98 [1271]~P61(x12713)+P11(f25(f27(x12711,x12712,x12713),x12714,x12713),f25(f27(x12715,x12712,x12713),x12716,x12713),x12713)+~P11(x12714,f25(f27(f4(x12715,x12711,x12713),x12712,x12713),x12716,x12713),x12713)
% 2.91/2.98 [1272]~P61(x12723)+P8(f25(f27(x12721,x12722,x12723),x12724,x12723),f25(f27(x12725,x12722,x12723),x12726,x12723),x12723)+~P8(f25(f27(f4(x12721,x12725,x12723),x12722,x12723),x12724,x12723),x12726,x12723)
% 2.91/2.98 [1273]~P61(x12733)+P11(f25(f27(x12731,x12732,x12733),x12734,x12733),f25(f27(x12735,x12732,x12733),x12736,x12733),x12733)+~P11(f25(f27(f4(x12731,x12735,x12733),x12732,x12733),x12734,x12733),x12736,x12733)
% 2.91/2.98 [540]~P39(x5402)+~P5(x5401,x5402)+P6(f22(x5401,x5402),x5401,x5402)+E(x5401,f28(f41(x5402,a2)))
% 2.91/2.98 [541]~P39(x5412)+~P5(x5411,x5412)+P6(f23(x5411,x5412),x5411,x5412)+E(x5411,f28(f41(x5412,a2)))
% 2.91/2.98 [534]P8(x5341,x5342,x5343)+~P39(x5343)+E(x5341,x5342)+P8(x5342,x5341,x5343)
% 2.91/2.98 [535]P8(x5351,x5352,x5353)+~P56(x5353)+E(x5351,x5352)+P8(x5352,x5351,x5353)
% 2.91/2.98 [561]~P38(x5613)+~P11(x5611,x5612,x5613)+E(x5611,x5612)+P8(x5611,x5612,x5613)
% 2.91/2.98 [563]~P39(x5633)+~P11(x5631,x5632,x5633)+E(x5631,x5632)+P8(x5631,x5632,x5633)
% 2.91/2.98 [614]~P11(x6142,x6141,x6143)+~P11(x6141,x6142,x6143)+E(x6141,x6142)+~P38(x6143)
% 2.91/2.98 [642]P11(x6422,x6421,x6423)+~P37(x6423)+~P11(x6421,x6422,x6423)+P8(x6421,x6422,x6423)
% 2.91/2.98 [508]~P54(x5082)+~P18(x5082)+~E(f25(x5083,x5081,x5082),x5083)+E(x5081,f24(x5082))
% 2.91/2.98 [510]~P54(x5103)+~P18(x5103)+E(x5101,x5102)+~E(f4(x5101,x5102,x5103),f24(x5103))
% 2.91/2.98 [513]~P62(x5132)+~E(f27(x5133,x5131,x5132),f24(x5132))+E(x5131,f24(x5132))+E(x5133,f24(x5132))
% 2.91/2.98 [515]~P51(x5152)+~E(f27(x5153,x5151,x5152),f24(x5152))+E(x5151,f24(x5152))+E(x5153,f24(x5152))
% 2.91/2.98 [626]~P39(x6263)+~P5(x6262,x6263)+~P6(x6261,x6262,x6263)+P11(x6261,f22(x6262,x6263),x6263)
% 2.91/2.98 [627]~P39(x6272)+~P5(x6271,x6272)+~P6(x6273,x6271,x6272)+P11(f23(x6271,x6272),x6273,x6272)
% 2.91/2.98 [698]~P11(x6982,x6983,a1)+P8(f12(x6981,x6983),x6983,a1)+~P66(f35(x6981,x6983))+P66(f35(x6981,x6982))
% 2.91/2.98 [795]E(x7951,x7952)+~P5(x7952,x7953)+~P11(x7951,x7952,f41(x7953,a2))+~P11(f5(x7952,x7953),f5(x7951,x7953),a1)
% 2.91/2.98 [850]E(x8501,x8502)+~P11(x8503,x8502,a1)+~P11(x8503,x8501,a1)+~E(f4(x8501,x8503,a1),f4(x8502,x8503,a1))
% 2.91/2.98 [907]~P57(x9071)+~P8(x9073,f24(x9071),x9071)+~P8(x9072,f24(x9071),x9071)+P8(f24(x9071),f27(x9072,x9073,x9071),x9071)
% 2.91/2.98 [908]~P57(x9081)+~P11(x9083,f24(x9081),x9081)+~P11(x9082,f24(x9081),x9081)+P11(f24(x9081),f27(x9082,x9083,x9081),x9081)
% 2.91/2.98 [910]~P61(x9101)+~P11(x9103,f24(x9101),x9101)+~P11(x9102,f24(x9101),x9101)+P11(f24(x9101),f27(x9102,x9103,x9101),x9101)
% 2.91/2.98 [911]~P47(x9111)+~P8(f24(x9111),x9113,x9111)+~P8(f24(x9111),x9112,x9111)+P8(f24(x9111),f27(x9112,x9113,x9111),x9111)
% 2.91/2.98 [912]~P2(x9121)+~P8(f24(x9121),x9123,x9121)+~P8(f24(x9121),x9122,x9121)+P8(f24(x9121),f25(x9122,x9123,x9121),x9121)
% 2.91/2.98 [913]~P2(x9131)+~P8(f24(x9131),x9133,x9131)+~P11(f24(x9131),x9132,x9131)+P8(f24(x9131),f25(x9132,x9133,x9131),x9131)
% 2.91/2.98 [914]~P2(x9141)+~P8(f24(x9141),x9142,x9141)+~P11(f24(x9141),x9143,x9141)+P8(f24(x9141),f25(x9142,x9143,x9141),x9141)
% 2.91/2.98 [915]~P49(x9151)+~P8(f26(x9151),x9153,x9151)+~P8(f26(x9151),x9152,x9151)+P8(f26(x9151),f27(x9152,x9153,x9151),x9151)
% 2.91/2.98 [916]~P57(x9161)+~P11(f24(x9161),x9163,x9161)+~P11(f24(x9161),x9162,x9161)+P11(f24(x9161),f27(x9162,x9163,x9161),x9161)
% 2.91/2.98 [917]~P61(x9171)+~P11(f24(x9171),x9173,x9171)+~P11(f24(x9171),x9172,x9171)+P11(f24(x9171),f27(x9172,x9173,x9171),x9171)
% 2.91/2.98 [918]~P59(x9181)+~P11(f24(x9181),x9183,x9181)+~P11(f24(x9181),x9182,x9181)+P11(f24(x9181),f27(x9182,x9183,x9181),x9181)
% 2.91/2.98 [919]~P2(x9191)+~P11(f24(x9191),x9193,x9191)+~P11(f24(x9191),x9192,x9191)+P11(f24(x9191),f25(x9192,x9193,x9191),x9191)
% 2.91/2.98 [920]~P2(x9203)+~P8(x9202,f24(x9203),x9203)+~P8(x9201,f24(x9203),x9203)+P8(f25(x9201,x9202,x9203),f24(x9203),x9203)
% 2.91/2.98 [921]~P2(x9213)+~P8(x9212,f24(x9213),x9213)+~P11(x9211,f24(x9213),x9213)+P8(f25(x9211,x9212,x9213),f24(x9213),x9213)
% 2.91/2.98 [922]~P2(x9223)+~P8(x9221,f24(x9223),x9223)+~P11(x9222,f24(x9223),x9223)+P8(f25(x9221,x9222,x9223),f24(x9223),x9223)
% 2.91/2.98 [923]~P2(x9233)+~P11(x9232,f24(x9233),x9233)+~P11(x9231,f24(x9233),x9233)+P11(f25(x9231,x9232,x9233),f24(x9233),x9233)
% 2.91/2.98 [924]~P47(x9243)+~P8(x9242,f24(x9243),x9243)+~P8(f24(x9243),x9241,x9243)+P8(f27(x9241,x9242,x9243),f24(x9243),x9243)
% 2.91/2.98 [926]~P47(x9263)+~P8(x9261,f24(x9263),x9263)+~P8(f24(x9263),x9262,x9263)+P8(f27(x9261,x9262,x9263),f24(x9263),x9263)
% 2.91/2.98 [927]~P57(x9273)+~P11(x9272,f24(x9273),x9273)+~P11(f24(x9273),x9271,x9273)+P11(f27(x9271,x9272,x9273),f24(x9273),x9273)
% 2.91/2.98 [928]~P57(x9283)+~P11(x9281,f24(x9283),x9283)+~P11(f24(x9283),x9282,x9283)+P11(f27(x9281,x9282,x9283),f24(x9283),x9283)
% 2.91/2.98 [930]~P59(x9303)+~P11(x9302,f24(x9303),x9303)+~P11(f24(x9303),x9301,x9303)+P11(f27(x9301,x9302,x9303),f24(x9303),x9303)
% 2.91/2.98 [933]~P59(x9333)+~P11(x9331,f24(x9333),x9333)+~P11(f24(x9333),x9332,x9333)+P11(f27(x9331,x9332,x9333),f24(x9333),x9333)
% 2.91/2.98 [942]~P5(x9422,x9423)+~P11(x9421,x9422,f41(x9423,a2))+P8(x9421,x9422,f41(x9423,a2))+~P8(f5(x9421,x9423),f5(x9422,x9423),a1)
% 2.91/2.98 [943]~P57(x9432)+~P11(f27(x9433,x9431,x9432),f24(x9432),x9432)+P11(x9431,f24(x9432),x9432)+P11(x9433,f24(x9432),x9432)
% 2.91/2.98 [944]~P57(x9442)+~P11(f24(x9442),f27(x9443,x9441,x9442),x9442)+P11(x9441,f24(x9442),x9442)+P11(f24(x9442),x9443,x9442)
% 2.91/2.98 [945]~P57(x9452)+~P11(f24(x9452),f27(x9451,x9453,x9452),x9452)+P11(x9451,f24(x9452),x9452)+P11(f24(x9452),x9453,x9452)
% 2.91/2.98 [946]~P57(x9462)+~P11(f24(x9462),f27(x9463,x9461,x9462),x9462)+P11(x9461,f24(x9462),x9462)+P11(f24(x9462),x9461,x9462)
% 2.91/2.98 [947]~P57(x9472)+~P11(f24(x9472),f27(x9471,x9473,x9472),x9472)+P11(x9471,f24(x9472),x9472)+P11(f24(x9472),x9471,x9472)
% 2.91/2.98 [948]~P57(x9482)+~P11(f27(x9483,x9481,x9482),f24(x9482),x9482)+P11(x9481,f24(x9482),x9482)+P11(f24(x9482),x9481,x9482)
% 2.91/2.98 [949]~P57(x9492)+~P11(f27(x9491,x9493,x9492),f24(x9492),x9492)+P11(x9491,f24(x9492),x9492)+P11(f24(x9492),x9491,x9492)
% 2.91/2.98 [950]~P57(x9501)+~P11(f27(x9502,x9503,x9501),f24(x9501),x9501)+P11(f24(x9501),x9502,x9501)+P11(f24(x9501),x9503,x9501)
% 2.91/2.98 [977]~P47(x9771)+~P8(f24(x9771),f27(x9773,x9772,x9771),x9771)+P8(f24(x9771),x9772,x9771)+~P8(f24(x9771),x9773,x9771)
% 2.91/2.98 [978]~P47(x9781)+~P8(f24(x9781),f27(x9782,x9783,x9781),x9781)+P8(f24(x9781),x9782,x9781)+~P8(f24(x9781),x9783,x9781)
% 2.91/2.98 [1050]~P11(x10503,x10502,a1)+P7(x10501,x10502,a1)+~P7(x10501,x10503,a1)+~P7(x10501,f4(x10502,x10503,a1),a1)
% 2.91/2.98 [1051]~P11(x10512,x10513,a1)+P7(x10511,x10512,a1)+~P7(x10511,x10513,a1)+~P7(x10511,f4(x10513,x10512,a1),a1)
% 2.91/2.98 [1136]~P11(x11363,x11361,a1)+P8(x11361,x11362,a1)+~P11(x11363,x11362,a1)+~P8(f4(x11361,x11363,a1),f4(x11362,x11363,a1),a1)
% 2.91/2.98 [1137]~P11(x11373,x11371,a1)+P11(x11371,x11372,a1)+~P11(x11373,x11372,a1)+~P11(f4(x11371,x11373,a1),f4(x11372,x11373,a1),a1)
% 2.91/2.98 [1249]~P5(x12492,x12493)+~P9(x12491,x12492,x12493,x12493)+~P11(f37(x12491,x12492,x12493,x12493),x12492,f41(x12493,a2))+E(f37(x12491,x12492,x12493,x12493),x12492)
% 2.91/2.98 [761]~P11(x7612,x7613,a1)+P66(f35(x7611,x7612))+~P66(f35(x7611,x7613))+~P66(f35(x7611,f12(x7611,x7613)))
% 2.91/2.98 [1078]~P11(x10782,x10783,a1)+~P66(f35(x10781,x10783))+P66(f35(x10781,x10782))+P66(f35(x10781,f25(f12(x10781,x10783),f26(a1),a1)))
% 2.91/2.98 [672]~P37(x6723)+~P8(x6721,x6724,x6723)+P8(x6721,x6722,x6723)+~P8(x6724,x6722,x6723)
% 2.91/2.98 [673]~P37(x6733)+~P11(x6731,x6734,x6733)+P8(x6731,x6732,x6733)+~P8(x6734,x6732,x6733)
% 2.91/2.98 [674]~P37(x6743)+~P11(x6744,x6742,x6743)+P8(x6741,x6742,x6743)+~P8(x6741,x6744,x6743)
% 2.91/2.98 [675]~P38(x6753)+~P8(x6751,x6754,x6753)+P8(x6751,x6752,x6753)+~P8(x6754,x6752,x6753)
% 2.91/2.98 [676]~P38(x6763)+~P11(x6761,x6764,x6763)+P8(x6761,x6762,x6763)+~P8(x6764,x6762,x6763)
% 2.91/2.98 [677]~P38(x6773)+~P11(x6774,x6772,x6773)+P8(x6771,x6772,x6773)+~P8(x6771,x6774,x6773)
% 2.91/2.98 [678]~P1(x6783)+~P7(x6781,x6784,x6783)+P7(x6781,x6782,x6783)+~P7(x6784,x6782,x6783)
% 2.91/2.98 [679]~P37(x6793)+~P11(x6791,x6794,x6793)+P11(x6791,x6792,x6793)+~P11(x6794,x6792,x6793)
% 2.91/2.98 [680]~P38(x6803)+~P11(x6801,x6804,x6803)+P11(x6801,x6802,x6803)+~P11(x6804,x6802,x6803)
% 2.91/2.98 [620]~P54(x6204)+~P18(x6204)+E(x6201,x6202)+~E(f25(x6203,x6201,x6204),f25(x6203,x6202,x6204))
% 2.91/2.98 [757]P6(x7573,x7571,x7574)+E(x7571,x7572)+P6(x7573,x7572,x7574)+~E(f36(x7573,x7571,x7574),f36(x7573,x7572,x7574))
% 2.91/2.98 [764]~P17(x7644)+P8(x7641,x7642,f41(x7643,x7644))+P11(x7642,x7641,f41(x7643,x7644))+~P11(x7641,x7642,f41(x7643,x7644))
% 2.91/2.98 [857]~P1(x8574)+~P7(x8571,x8573,x8574)+~P7(x8571,x8572,x8574)+P7(x8571,f25(x8572,x8573,x8574),x8574)
% 2.91/2.98 [858]~P43(x8584)+~P7(x8581,x8583,x8584)+~P7(x8581,x8582,x8584)+P7(x8581,f4(x8582,x8583,x8584),x8584)
% 2.91/2.98 [860]~P3(x8604)+~P7(x8601,x8603,x8604)+~P7(x8601,x8602,x8604)+P7(x8601,f6(x8602,x8603,x8604),x8604)
% 2.91/2.98 [863]~P20(x8634)+~P11(x8631,x8633,x8634)+~P11(x8631,x8632,x8634)+P11(x8631,f29(x8632,x8633,x8634),x8634)
% 2.91/2.98 [883]~P49(x8834)+~P8(x8831,x8833,x8834)+~P8(f24(x8834),x8832,x8834)+P8(x8831,f25(x8832,x8833,x8834),x8834)
% 2.91/2.98 [960]~P3(x9603)+P7(x9601,x9602,x9603)+~P7(x9601,x9604,x9603)+~P7(x9601,f6(x9602,x9604,x9603),x9603)
% 2.91/2.98 [971]P6(x9711,x9712,x9713)+P6(x9711,x9714,x9713)+~P11(x9714,x9712,f41(x9713,a2))+P8(x9714,f36(x9711,x9712,x9713),f41(x9713,a2))
% 2.91/2.98 [1022]~P57(x10223)+~P8(x10224,x10221,x10223)+~P8(x10222,f24(x10223),x10223)+P8(f27(x10221,x10222,x10223),f27(x10224,x10222,x10223),x10223)
% 2.91/2.98 [1025]~P57(x10253)+~P8(x10254,x10252,x10253)+~P8(x10251,f24(x10253),x10253)+P8(f27(x10251,x10252,x10253),f27(x10251,x10254,x10253),x10253)
% 2.91/2.98 [1026]~P61(x10263)+~P11(x10264,x10261,x10263)+~P11(x10262,f24(x10263),x10263)+P11(f27(x10261,x10262,x10263),f27(x10264,x10262,x10263),x10263)
% 2.91/2.98 [1027]~P57(x10273)+~P11(x10274,x10272,x10273)+~P8(x10271,f24(x10273),x10273)+P11(f27(x10271,x10272,x10273),f27(x10271,x10274,x10273),x10273)
% 2.91/2.98 [1028]~P61(x10283)+~P11(x10284,x10282,x10283)+~P11(x10281,f24(x10283),x10283)+P11(f27(x10281,x10282,x10283),f27(x10281,x10284,x10283),x10283)
% 2.91/2.98 [1029]~P47(x10293)+~P8(x10291,x10294,x10293)+~P8(f24(x10293),x10292,x10293)+P8(f27(x10291,x10292,x10293),f27(x10294,x10292,x10293),x10293)
% 2.91/2.98 [1030]~P57(x10303)+~P8(x10301,x10304,x10303)+~P8(f24(x10303),x10302,x10303)+P8(f27(x10301,x10302,x10303),f27(x10304,x10302,x10303),x10303)
% 2.91/2.98 [1031]~P47(x10313)+~P8(x10312,x10314,x10313)+~P8(f24(x10313),x10311,x10313)+P8(f27(x10311,x10312,x10313),f27(x10311,x10314,x10313),x10313)
% 2.91/2.98 [1033]~P57(x10333)+~P8(x10332,x10334,x10333)+~P8(f24(x10333),x10331,x10333)+P8(f27(x10331,x10332,x10333),f27(x10331,x10334,x10333),x10333)
% 2.91/2.98 [1034]~P50(x10343)+~P8(x10342,x10344,x10343)+~P8(f24(x10343),x10341,x10343)+P8(f27(x10341,x10342,x10343),f27(x10341,x10344,x10343),x10343)
% 2.91/2.98 [1035]~P53(x10353)+~P11(x10351,x10354,x10353)+~P11(f24(x10353),x10352,x10353)+P11(f27(x10351,x10352,x10353),f27(x10354,x10352,x10353),x10353)
% 2.91/2.98 [1036]~P57(x10363)+~P11(x10362,x10364,x10363)+~P8(f24(x10363),x10361,x10363)+P11(f27(x10361,x10362,x10363),f27(x10361,x10364,x10363),x10363)
% 2.91/2.98 [1037]~P53(x10373)+~P11(x10372,x10374,x10373)+~P11(f24(x10373),x10371,x10373)+P11(f27(x10371,x10372,x10373),f27(x10371,x10374,x10373),x10373)
% 2.91/2.98 [1038]~P55(x10383)+~P11(x10382,x10384,x10383)+~P11(f24(x10383),x10381,x10383)+P11(f27(x10381,x10382,x10383),f27(x10381,x10384,x10383),x10383)
% 2.91/2.98 [1057]P6(x10571,x10572,x10573)+P6(x10571,x10574,x10573)+~P8(x10574,f36(x10571,x10572,x10573),f41(x10573,a2))+P11(x10574,x10572,f41(x10573,a2))
% 2.91/2.98 [1067]P6(x10671,x10672,x10673)+~P11(x10672,x10674,f41(x10673,a2))+~P8(x10672,x10674,f41(x10673,a2))+P8(x10672,f36(x10671,x10674,x10673),f41(x10673,a2))
% 2.91/2.98 [1070]~P54(x10702)+P7(x10703,x10704,x10702)+~P7(f27(x10701,x10703,x10702),f27(x10701,x10704,x10702),x10702)+E(x10701,f24(x10702))
% 2.91/2.98 [1071]~P54(x10712)+P7(x10713,x10714,x10712)+~P7(f27(x10713,x10711,x10712),f27(x10714,x10711,x10712),x10712)+E(x10711,f24(x10712))
% 2.91/2.98 [1083]P8(x10832,x10831,x10833)+~P57(x10833)+P8(x10831,x10832,x10833)+~P8(f27(x10834,x10831,x10833),f27(x10834,x10832,x10833),x10833)
% 2.91/2.98 [1084]P8(x10842,x10841,x10843)+~P57(x10843)+P8(x10841,x10842,x10843)+~P8(f27(x10841,x10844,x10843),f27(x10842,x10844,x10843),x10843)
% 2.91/2.98 [1096]~P57(x10963)+P8(x10961,x10962,x10963)+~P8(f27(x10961,x10964,x10963),f27(x10962,x10964,x10963),x10963)+P8(x10964,f24(x10963),x10963)
% 2.91/2.98 [1097]~P57(x10973)+P8(x10971,x10972,x10973)+~P8(f27(x10974,x10971,x10973),f27(x10974,x10972,x10973),x10973)+P8(x10974,f24(x10973),x10973)
% 2.91/2.98 [1098]~P57(x10983)+P8(x10981,x10982,x10983)+~P8(f27(x10984,x10982,x10983),f27(x10984,x10981,x10983),x10983)+P8(f24(x10983),x10984,x10983)
% 2.91/2.98 [1099]~P57(x10993)+P8(x10991,x10992,x10993)+~P8(f27(x10992,x10994,x10993),f27(x10991,x10994,x10993),x10993)+P8(f24(x10993),x10994,x10993)
% 2.91/2.98 [1102]~P57(x11022)+~P8(f27(x11023,x11021,x11022),f27(x11024,x11021,x11022),x11022)+P8(x11021,f24(x11022),x11022)+P8(f24(x11022),x11021,x11022)
% 2.91/2.98 [1103]~P57(x11032)+~P8(f27(x11031,x11033,x11032),f27(x11031,x11034,x11032),x11032)+P8(x11031,f24(x11032),x11032)+P8(f24(x11032),x11031,x11032)
% 2.91/2.98 [1113]~P57(x11133)+P8(x11131,x11132,x11133)+~P8(f27(x11134,x11132,x11133),f27(x11134,x11131,x11133),x11133)+~P8(x11134,f24(x11133),x11133)
% 2.91/2.98 [1114]~P57(x11143)+P11(x11141,x11142,x11143)+~P11(f27(x11144,x11142,x11143),f27(x11144,x11141,x11143),x11143)+~P8(x11144,f24(x11143),x11143)
% 2.91/2.98 [1115]~P47(x11153)+P8(x11151,x11152,x11153)+~P8(f27(x11154,x11151,x11153),f27(x11154,x11152,x11153),x11153)+~P11(f24(x11153),x11154,x11153)
% 2.91/2.98 [1116]~P47(x11163)+P8(x11161,x11162,x11163)+~P8(f27(x11161,x11164,x11163),f27(x11162,x11164,x11163),x11163)+~P11(f24(x11163),x11164,x11163)
% 2.91/2.98 [1117]~P57(x11173)+P8(x11171,x11172,x11173)+~P8(f27(x11174,x11171,x11173),f27(x11174,x11172,x11173),x11173)+~P8(f24(x11173),x11174,x11173)
% 2.91/2.98 [1118]~P48(x11183)+P8(x11181,x11182,x11183)+~P8(f27(x11184,x11181,x11183),f27(x11184,x11182,x11183),x11183)+~P11(f24(x11183),x11184,x11183)
% 2.91/2.98 [1119]~P48(x11193)+P8(x11191,x11192,x11193)+~P8(f27(x11191,x11194,x11193),f27(x11192,x11194,x11193),x11193)+~P11(f24(x11193),x11194,x11193)
% 2.91/2.98 [1120]~P47(x11203)+P11(x11201,x11202,x11203)+~P11(f27(x11204,x11201,x11203),f27(x11204,x11202,x11203),x11203)+~P8(f24(x11203),x11204,x11203)
% 2.91/2.98 [1121]~P47(x11213)+P11(x11211,x11212,x11213)+~P11(f27(x11211,x11214,x11213),f27(x11212,x11214,x11213),x11213)+~P8(f24(x11213),x11214,x11213)
% 2.91/2.98 [1122]~P57(x11223)+P11(x11221,x11222,x11223)+~P11(f27(x11224,x11221,x11223),f27(x11224,x11222,x11223),x11223)+~P8(f24(x11223),x11224,x11223)
% 2.91/2.98 [1212]~P6(x12121,x12124,x12123)+P6(x12121,x12122,x12123)+~P8(x12124,f36(x12121,x12122,x12123),f41(x12123,a2))+P8(f4(x12124,f36(x12121,f28(f41(x12123,a2)),x12123),f41(x12123,a2)),x12122,f41(x12123,a2))
% 2.91/2.98 [1236]~P6(x12361,x12364,x12363)+P6(x12361,x12362,x12363)+P8(x12364,f36(x12361,x12362,x12363),f41(x12363,a2))+~P8(f4(x12364,f36(x12361,f28(f41(x12363,a2)),x12363),f41(x12363,a2)),x12362,f41(x12363,a2))
% 2.91/2.98 [1240]P6(x12401,x12402,x12403)+~P11(x12404,x12402,f41(x12403,a2))+P8(x12404,f36(x12401,x12402,x12403),f41(x12403,a2))+~P8(f4(x12404,f36(x12401,f28(f41(x12403,a2)),x12403),f41(x12403,a2)),x12402,f41(x12403,a2))
% 2.91/2.98 [1242]~P6(x12422,x12421,x12424)+~P8(x12421,x12423,f41(x12424,a2))+P8(x12421,f36(x12422,x12423,x12424),f41(x12424,a2))+~P8(f4(x12421,f36(x12422,f28(f41(x12424,a2)),x12424),f41(x12424,a2)),x12423,f41(x12424,a2))
% 2.91/2.98 [1244]~P11(x12441,x12443,f41(x12444,a2))+~P8(x12441,x12443,f41(x12444,a2))+P8(x12441,f36(x12442,x12443,x12444),f41(x12444,a2))+~P8(f4(x12441,f36(x12442,f28(f41(x12444,a2)),x12444),f41(x12444,a2)),x12443,f41(x12444,a2))
% 2.91/2.98 [1191]P6(x11912,x11913,x11914)+~P5(x11911,x11914)+~P6(x11912,x11911,x11914)+E(f5(f4(x11911,f36(x11912,x11913,x11914),f41(x11914,a2)),x11914),f4(f5(f4(x11911,x11913,f41(x11914,a2)),x11914),f26(a1),a1))
% 2.91/2.98 [1201]~P38(x12014)+~P11(x12012,x12013,a1)+P11(f35(x12011,x12012),f35(x12011,x12013),x12014)+~P11(f35(x12011,f14(x12011,x12014)),f35(x12011,f25(f14(x12011,x12014),f26(a1),a1)),x12014)
% 2.91/2.98 [1303]~P5(x13031,x13033)+~P6(x13034,x13031,x13033)+~P6(x13032,x13031,x13033)+P8(f5(f4(f4(x13031,f36(x13032,f28(f41(x13033,a2)),x13033),f41(x13033,a2)),f36(x13034,f28(f41(x13033,a2)),x13033),f41(x13033,a2)),x13033),f5(x13031,x13033),a1)
% 2.91/2.98 [1283]~P8(x12833,x12831,a1)+E(x12831,f24(a1))+P66(f35(x12832,x12833))+~P66(f35(x12832,f6(f25(f27(x12831,x12834,a1),x12833,a1),x12831,a1)))
% 2.91/2.98 [808]~P35(x8083)+~P8(x8084,x8085,x8083)+P8(x8081,x8082,x8083)+~E(f4(x8084,x8085,x8083),f4(x8081,x8082,x8083))
% 2.91/2.98 [809]~P35(x8093)+~P8(x8094,x8095,x8093)+P8(x8091,x8092,x8093)+~E(f4(x8091,x8092,x8093),f4(x8094,x8095,x8093))
% 2.91/2.98 [810]~P35(x8103)+~P11(x8105,x8104,x8103)+P11(x8101,x8102,x8103)+~E(f4(x8104,x8105,x8103),f4(x8102,x8101,x8103))
% 2.91/2.98 [811]~P35(x8113)+~P11(x8115,x8114,x8113)+P11(x8111,x8112,x8113)+~E(f4(x8112,x8111,x8113),f4(x8114,x8115,x8113))
% 2.91/2.98 [1011]~P36(x10113)+~P8(x10112,x10115,x10113)+~P8(x10111,x10114,x10113)+P8(f25(x10111,x10112,x10113),f25(x10114,x10115,x10113),x10113)
% 2.91/2.98 [1012]~P36(x10123)+~P8(x10122,x10125,x10123)+~P11(x10121,x10124,x10123)+P8(f25(x10121,x10122,x10123),f25(x10124,x10125,x10123),x10123)
% 2.91/2.98 [1013]~P36(x10133)+~P8(x10131,x10134,x10133)+~P11(x10132,x10135,x10133)+P8(f25(x10131,x10132,x10133),f25(x10134,x10135,x10133),x10133)
% 2.91/2.98 [1014]~P1(x10143)+~P7(x10142,x10145,x10143)+~P7(x10141,x10144,x10143)+P7(f27(x10141,x10142,x10143),f27(x10144,x10145,x10143),x10143)
% 2.91/2.98 [1015]~P34(x10153)+~P11(x10152,x10155,x10153)+~P11(x10151,x10154,x10153)+P11(f25(x10151,x10152,x10153),f25(x10154,x10155,x10153),x10153)
% 2.91/2.98 [1074]~P35(x10744)+~P11(x10745,x10743,x10744)+~P11(x10741,f25(x10742,x10745,x10744),x10744)+P11(x10741,f25(x10742,x10743,x10744),x10744)
% 2.91/2.98 [1241]~P5(x12413,x12414)+~P9(x12415,x12411,x12412,x12414)+~P11(f37(x12415,x12411,x12412,x12414),x12413,f41(x12414,a2))+P11(f5(x12411,x12412),f5(x12413,x12414),a1)
% 2.91/2.98 [1151]~P3(x11513)+~E(f6(x11511,x11514,x11513),f6(x11515,x11514,x11513))+~E(f6(x11512,x11514,x11513),f6(x11516,x11514,x11513))+E(f6(f27(x11511,x11512,x11513),x11514,x11513),f6(f27(x11515,x11516,x11513),x11514,x11513))
% 2.91/2.98 [1152]~P3(x11523)+~E(f6(x11521,x11524,x11523),f6(x11525,x11524,x11523))+~E(f6(x11522,x11524,x11523),f6(x11526,x11524,x11523))+E(f6(f25(x11521,x11522,x11523),x11524,x11523),f6(f25(x11525,x11526,x11523),x11524,x11523))
% 2.91/2.98 [1153]~P12(x11533)+~E(f6(x11531,x11534,x11533),f6(x11535,x11534,x11533))+~E(f6(x11532,x11534,x11533),f6(x11536,x11534,x11533))+E(f6(f4(x11531,x11532,x11533),x11534,x11533),f6(f4(x11535,x11536,x11533),x11534,x11533))
% 2.91/2.98 [1294]E(x12941,x12942)+~P6(x12942,f37(x12944,x12943,x12945,x12946),x12946)+~P6(x12941,f37(x12944,x12943,x12945,x12946),x12946)+~E(f35(f31(x12943,x12944,x12945,x12946),x12941),f35(f31(x12943,x12944,x12945,x12946),x12942))
% 2.91/2.98 [1278]~P9(x12781,x12786,x12783,x12784)+~P11(x12782,x12786,f41(x12783,a2))+~P11(x12785,x12786,f41(x12783,a2))+E(f29(f37(x12781,x12782,x12783,x12784),f37(x12781,x12785,x12783,x12784),f41(x12784,a2)),f37(x12781,f29(x12782,x12785,f41(x12783,a2)),x12783,x12784))
% 2.91/2.98 [1279]~P9(x12791,x12796,x12793,x12794)+~P11(x12792,x12796,f41(x12793,a2))+~P11(x12795,x12796,f41(x12793,a2))+E(f4(f37(x12791,x12792,x12793,x12794),f37(x12791,x12795,x12793,x12794),f41(x12794,a2)),f37(x12791,f4(x12792,x12795,f41(x12793,a2)),x12793,x12794))
% 2.91/2.98 [765]~P2(x7652)+~P11(f24(x7652),x7651,x7652)+~P11(f24(x7652),x7653,x7652)+~E(f25(x7653,x7651,x7652),f24(x7652))+E(x7651,f24(x7652))
% 2.91/2.98 [766]~P2(x7662)+~P11(f24(x7662),x7663,x7662)+~P11(f24(x7662),x7661,x7662)+~E(f25(x7661,x7663,x7662),f24(x7662))+E(x7661,f24(x7662))
% 2.91/2.98 [1019]~P56(x10193)+~P11(x10191,f26(x10193),x10193)+~P11(f24(x10193),x10192,x10193)+~P11(f24(x10193),x10191,x10193)+P11(f27(x10191,x10192,x10193),x10192,x10193)
% 2.91/2.98 [1020]~P56(x10203)+~P11(x10202,f26(x10203),x10203)+~P11(f24(x10203),x10202,x10203)+~P11(f24(x10203),x10201,x10203)+P11(f27(x10201,x10202,x10203),x10201,x10203)
% 2.91/2.98 [758]~P39(x7582)+~P5(x7583,x7582)+P11(f23(x7583,x7582),f23(x7581,x7582),x7582)+~P11(x7581,x7583,f41(x7582,a2))+E(x7581,f28(f41(x7582,a2)))
% 2.91/2.98 [759]~P39(x7592)+~P5(x7593,x7592)+P11(f22(x7591,x7592),f22(x7593,x7592),x7592)+~P11(x7591,x7593,f41(x7592,a2))+E(x7591,f28(f41(x7592,a2)))
% 2.91/2.98 [888]~P13(x8884)+~P27(x8884)+~P8(x8881,x8883,x8884)+~P11(f24(x8884),x8882,x8884)+P8(x8881,f25(x8882,x8883,x8884),x8884)
% 2.91/2.98 [889]~P13(x8894)+~P27(x8894)+~P11(x8891,x8893,x8894)+~P8(f24(x8894),x8892,x8894)+P8(x8891,f25(x8892,x8893,x8894),x8894)
% 2.91/2.98 [890]~P13(x8904)+~P27(x8904)+~P11(x8901,x8903,x8904)+~P11(f24(x8904),x8902,x8904)+P11(x8901,f25(x8902,x8903,x8904),x8904)
% 2.91/2.98 [891]~P13(x8914)+~P27(x8914)+~P11(x8911,x8912,x8914)+~P11(f24(x8914),x8913,x8914)+P11(x8911,f25(x8912,x8913,x8914),x8914)
% 2.91/2.98 [1081]~P54(x10814)+~P18(x10814)+E(x10811,x10812)+E(x10813,f24(x10814))+~E(f25(x10815,f27(x10813,x10811,x10814),x10814),f25(x10815,f27(x10813,x10812,x10814),x10814))
% 2.91/2.98 [1185]~P54(x11855)+~P18(x11855)+E(x11851,x11852)+E(x11853,x11854)+~E(f25(f27(x11853,x11851,x11855),f27(x11854,x11852,x11855),x11855),f25(f27(x11853,x11852,x11855),f27(x11854,x11851,x11855),x11855))
% 2.91/2.98 [1133]~P6(x11331,x11334,x11335)+E(x11331,x11332)+~P9(x11333,x11334,x11335,x11336)+~P6(x11332,x11334,x11335)+~E(f35(x11333,x11331),f35(x11333,x11332))
% 2.91/2.98 [1224]~P46(x12245)+~P44(x12245)+~P7(x12241,x12244,x12245)+~P7(x12241,f25(x12242,x12246,x12245),x12245)+P7(x12241,f25(f4(x12242,f27(x12243,x12244,x12245),x12245),x12246,x12245),x12245)
% 2.91/2.98 [1245]~P46(x12454)+~P44(x12454)+~P7(x12451,x12455,x12454)+P7(x12451,f25(x12452,x12453,x12454),x12454)+~P7(x12451,f25(f4(x12452,f27(x12456,x12455,x12454),x12454),x12453,x12454),x12454)
% 2.91/2.98 [1138]~P47(x11383)+~P8(x11382,x11385,x11383)+~P8(x11381,x11384,x11383)+~P8(f24(x11383),x11384,x11383)+~P11(f24(x11383),x11382,x11383)+P8(f27(x11381,x11382,x11383),f27(x11384,x11385,x11383),x11383)
% 2.91/2.98 [1139]~P47(x11393)+~P8(x11392,x11395,x11393)+~P8(x11391,x11394,x11393)+~P11(f24(x11393),x11392,x11393)+~P11(f24(x11393),x11391,x11393)+P8(f27(x11391,x11392,x11393),f27(x11394,x11395,x11393),x11393)
% 2.91/2.98 [1140]~P47(x11403)+~P8(x11402,x11405,x11403)+~P11(x11401,x11404,x11403)+~P8(f24(x11403),x11401,x11403)+~P11(f24(x11403),x11402,x11403)+P8(f27(x11401,x11402,x11403),f27(x11404,x11405,x11403),x11403)
% 2.91/2.98 [1141]~P47(x11413)+~P8(x11411,x11414,x11413)+~P11(x11412,x11415,x11413)+~P8(f24(x11413),x11412,x11413)+~P11(f24(x11413),x11411,x11413)+P8(f27(x11411,x11412,x11413),f27(x11414,x11415,x11413),x11413)
% 2.91/2.98 [1142]~P60(x11423)+~P11(x11422,x11425,x11423)+~P11(x11421,x11424,x11423)+~P11(f24(x11423),x11424,x11423)+~P11(f24(x11423),x11422,x11423)+P11(f27(x11421,x11422,x11423),f27(x11424,x11425,x11423),x11423)
% 2.91/2.98 [1143]~P60(x11433)+~P11(x11432,x11435,x11433)+~P11(x11431,x11434,x11433)+~P11(f24(x11433),x11432,x11433)+~P11(f24(x11433),x11431,x11433)+P11(f27(x11431,x11432,x11433),f27(x11434,x11435,x11433),x11433)
% 2.91/2.98 [1285]~P5(x12853,x12854)+~P5(x12851,x12852)+~P9(x12855,x12851,x12852,x12854)+~P9(x12856,x12853,x12854,x12852)+~P11(f37(x12855,x12851,x12852,x12854),x12853,f41(x12854,a2))+~P11(f37(x12856,x12853,x12854,x12852),x12851,f41(x12852,a2))+E(f5(x12851,x12852),f5(x12853,x12854))
% 2.91/2.98 %EqnAxiom
% 2.91/2.98 [1]E(x11,x11)
% 2.91/2.98 [2]E(x22,x21)+~E(x21,x22)
% 2.91/2.98 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.91/2.98 [4]~E(x41,x42)+E(f4(x41,x43,x44),f4(x42,x43,x44))
% 2.91/2.98 [5]~E(x51,x52)+E(f4(x53,x51,x54),f4(x53,x52,x54))
% 2.91/2.98 [6]~E(x61,x62)+E(f4(x63,x64,x61),f4(x63,x64,x62))
% 2.91/2.98 [7]~E(x71,x72)+E(f24(x71),f24(x72))
% 2.91/2.98 [8]~E(x81,x82)+E(f21(x81,x83,x84,x85,x86),f21(x82,x83,x84,x85,x86))
% 2.91/2.98 [9]~E(x91,x92)+E(f21(x93,x91,x94,x95,x96),f21(x93,x92,x94,x95,x96))
% 2.91/2.98 [10]~E(x101,x102)+E(f21(x103,x104,x101,x105,x106),f21(x103,x104,x102,x105,x106))
% 2.91/2.98 [11]~E(x111,x112)+E(f21(x113,x114,x115,x111,x116),f21(x113,x114,x115,x112,x116))
% 2.91/2.98 [12]~E(x121,x122)+E(f21(x123,x124,x125,x126,x121),f21(x123,x124,x125,x126,x122))
% 2.91/2.98 [13]~E(x131,x132)+E(f35(x131,x133),f35(x132,x133))
% 2.91/2.98 [14]~E(x141,x142)+E(f35(x143,x141),f35(x143,x142))
% 2.91/2.98 [15]~E(x151,x152)+E(f25(x151,x153,x154),f25(x152,x153,x154))
% 2.91/2.98 [16]~E(x161,x162)+E(f25(x163,x161,x164),f25(x163,x162,x164))
% 2.91/2.98 [17]~E(x171,x172)+E(f25(x173,x174,x171),f25(x173,x174,x172))
% 2.91/2.98 [18]~E(x181,x182)+E(f26(x181),f26(x182))
% 2.91/2.98 [19]~E(x191,x192)+E(f27(x191,x193,x194),f27(x192,x193,x194))
% 2.91/2.98 [20]~E(x201,x202)+E(f27(x203,x201,x204),f27(x203,x202,x204))
% 2.91/2.98 [21]~E(x211,x212)+E(f27(x213,x214,x211),f27(x213,x214,x212))
% 2.91/2.98 [22]~E(x221,x222)+E(f41(x221,x223),f41(x222,x223))
% 2.91/2.98 [23]~E(x231,x232)+E(f41(x233,x231),f41(x233,x232))
% 2.91/2.98 [24]~E(x241,x242)+E(f34(x241),f34(x242))
% 2.91/2.98 [25]~E(x251,x252)+E(f5(x251,x253),f5(x252,x253))
% 2.91/2.98 [26]~E(x261,x262)+E(f5(x263,x261),f5(x263,x262))
% 2.91/2.98 [27]~E(x271,x272)+E(f28(x271),f28(x272))
% 2.91/2.98 [28]~E(x281,x282)+E(f29(x281,x283,x284),f29(x282,x283,x284))
% 2.91/2.98 [29]~E(x291,x292)+E(f29(x293,x291,x294),f29(x293,x292,x294))
% 2.91/2.98 [30]~E(x301,x302)+E(f29(x303,x304,x301),f29(x303,x304,x302))
% 2.91/2.98 [31]~E(x311,x312)+E(f36(x311,x313,x314),f36(x312,x313,x314))
% 2.91/2.98 [32]~E(x321,x322)+E(f36(x323,x321,x324),f36(x323,x322,x324))
% 2.91/2.98 [33]~E(x331,x332)+E(f36(x333,x334,x331),f36(x333,x334,x332))
% 2.91/2.98 [34]~E(x341,x342)+E(f37(x341,x343,x344,x345),f37(x342,x343,x344,x345))
% 2.91/2.98 [35]~E(x351,x352)+E(f37(x353,x351,x354,x355),f37(x353,x352,x354,x355))
% 2.91/2.98 [36]~E(x361,x362)+E(f37(x363,x364,x361,x365),f37(x363,x364,x362,x365))
% 2.91/2.98 [37]~E(x371,x372)+E(f37(x373,x374,x375,x371),f37(x373,x374,x375,x372))
% 2.91/2.98 [38]~E(x381,x382)+E(f6(x381,x383,x384),f6(x382,x383,x384))
% 2.91/2.98 [39]~E(x391,x392)+E(f6(x393,x391,x394),f6(x393,x392,x394))
% 2.91/2.98 [40]~E(x401,x402)+E(f6(x403,x404,x401),f6(x403,x404,x402))
% 2.91/2.98 [41]~E(x411,x412)+E(f11(x411,x413,x414,x415,x416),f11(x412,x413,x414,x415,x416))
% 2.91/2.98 [42]~E(x421,x422)+E(f11(x423,x421,x424,x425,x426),f11(x423,x422,x424,x425,x426))
% 2.91/2.98 [43]~E(x431,x432)+E(f11(x433,x434,x431,x435,x436),f11(x433,x434,x432,x435,x436))
% 2.91/2.98 [44]~E(x441,x442)+E(f11(x443,x444,x445,x441,x446),f11(x443,x444,x445,x442,x446))
% 2.91/2.98 [45]~E(x451,x452)+E(f11(x453,x454,x455,x456,x451),f11(x453,x454,x455,x456,x452))
% 2.91/2.98 [46]~E(x461,x462)+E(f32(x461,x463),f32(x462,x463))
% 2.91/2.98 [47]~E(x471,x472)+E(f32(x473,x471),f32(x473,x472))
% 2.91/2.98 [48]~E(x481,x482)+E(f39(x481,x483,x484,x485),f39(x482,x483,x484,x485))
% 2.91/2.98 [49]~E(x491,x492)+E(f39(x493,x491,x494,x495),f39(x493,x492,x494,x495))
% 2.91/2.98 [50]~E(x501,x502)+E(f39(x503,x504,x501,x505),f39(x503,x504,x502,x505))
% 2.91/2.98 [51]~E(x511,x512)+E(f39(x513,x514,x515,x511),f39(x513,x514,x515,x512))
% 2.91/2.98 [52]~E(x521,x522)+E(f12(x521,x523),f12(x522,x523))
% 2.91/2.98 [53]~E(x531,x532)+E(f12(x533,x531),f12(x533,x532))
% 2.91/2.98 [54]~E(x541,x542)+E(f33(x541,x543),f33(x542,x543))
% 2.91/2.98 [55]~E(x551,x552)+E(f33(x553,x551),f33(x553,x552))
% 2.91/2.98 [56]~E(x561,x562)+E(f31(x561,x563,x564,x565),f31(x562,x563,x564,x565))
% 2.91/2.98 [57]~E(x571,x572)+E(f31(x573,x571,x574,x575),f31(x573,x572,x574,x575))
% 2.91/2.98 [58]~E(x581,x582)+E(f31(x583,x584,x581,x585),f31(x583,x584,x582,x585))
% 2.91/2.98 [59]~E(x591,x592)+E(f31(x593,x594,x595,x591),f31(x593,x594,x595,x592))
% 2.91/2.98 [60]~E(x601,x602)+E(f15(x601,x603,x604,x605,x606),f15(x602,x603,x604,x605,x606))
% 2.91/2.98 [61]~E(x611,x612)+E(f15(x613,x611,x614,x615,x616),f15(x613,x612,x614,x615,x616))
% 2.91/2.98 [62]~E(x621,x622)+E(f15(x623,x624,x621,x625,x626),f15(x623,x624,x622,x625,x626))
% 2.91/2.98 [63]~E(x631,x632)+E(f15(x633,x634,x635,x631,x636),f15(x633,x634,x635,x632,x636))
% 2.91/2.98 [64]~E(x641,x642)+E(f15(x643,x644,x645,x646,x641),f15(x643,x644,x645,x646,x642))
% 2.91/2.98 [65]~E(x651,x652)+E(f19(x651,x653,x654,x655,x656),f19(x652,x653,x654,x655,x656))
% 2.91/2.98 [66]~E(x661,x662)+E(f19(x663,x661,x664,x665,x666),f19(x663,x662,x664,x665,x666))
% 2.91/2.98 [67]~E(x671,x672)+E(f19(x673,x674,x671,x675,x676),f19(x673,x674,x672,x675,x676))
% 2.91/2.98 [68]~E(x681,x682)+E(f19(x683,x684,x685,x681,x686),f19(x683,x684,x685,x682,x686))
% 2.91/2.98 [69]~E(x691,x692)+E(f19(x693,x694,x695,x696,x691),f19(x693,x694,x695,x696,x692))
% 2.91/2.98 [70]~E(x701,x702)+E(f7(x701),f7(x702))
% 2.91/2.98 [71]~E(x711,x712)+E(f38(x711,x713),f38(x712,x713))
% 2.91/2.98 [72]~E(x721,x722)+E(f38(x723,x721),f38(x723,x722))
% 2.91/2.98 [73]~E(x731,x732)+E(f18(x731,x733,x734,x735,x736),f18(x732,x733,x734,x735,x736))
% 2.91/2.98 [74]~E(x741,x742)+E(f18(x743,x741,x744,x745,x746),f18(x743,x742,x744,x745,x746))
% 2.91/2.98 [75]~E(x751,x752)+E(f18(x753,x754,x751,x755,x756),f18(x753,x754,x752,x755,x756))
% 2.91/2.98 [76]~E(x761,x762)+E(f18(x763,x764,x765,x761,x766),f18(x763,x764,x765,x762,x766))
% 2.91/2.98 [77]~E(x771,x772)+E(f18(x773,x774,x775,x776,x771),f18(x773,x774,x775,x776,x772))
% 2.91/2.98 [78]~E(x781,x782)+E(f10(x781),f10(x782))
% 2.91/2.98 [79]~E(x791,x792)+E(f23(x791,x793),f23(x792,x793))
% 2.91/2.98 [80]~E(x801,x802)+E(f23(x803,x801),f23(x803,x802))
% 2.91/2.98 [81]~E(x811,x812)+E(f9(x811,x813,x814),f9(x812,x813,x814))
% 2.91/2.98 [82]~E(x821,x822)+E(f9(x823,x821,x824),f9(x823,x822,x824))
% 2.91/2.98 [83]~E(x831,x832)+E(f9(x833,x834,x831),f9(x833,x834,x832))
% 2.91/2.98 [84]~E(x841,x842)+E(f16(x841,x843,x844,x845,x846),f16(x842,x843,x844,x845,x846))
% 2.91/2.98 [85]~E(x851,x852)+E(f16(x853,x851,x854,x855,x856),f16(x853,x852,x854,x855,x856))
% 2.91/2.98 [86]~E(x861,x862)+E(f16(x863,x864,x861,x865,x866),f16(x863,x864,x862,x865,x866))
% 2.91/2.98 [87]~E(x871,x872)+E(f16(x873,x874,x875,x871,x876),f16(x873,x874,x875,x872,x876))
% 2.91/2.98 [88]~E(x881,x882)+E(f16(x883,x884,x885,x886,x881),f16(x883,x884,x885,x886,x882))
% 2.91/2.98 [89]~E(x891,x892)+E(f14(x891,x893),f14(x892,x893))
% 2.91/2.98 [90]~E(x901,x902)+E(f14(x903,x901),f14(x903,x902))
% 2.91/2.98 [91]~E(x911,x912)+E(f22(x911,x913),f22(x912,x913))
% 2.91/2.98 [92]~E(x921,x922)+E(f22(x923,x921),f22(x923,x922))
% 2.91/2.98 [93]~E(x931,x932)+E(f20(x931,x933,x934,x935,x936),f20(x932,x933,x934,x935,x936))
% 2.91/2.98 [94]~E(x941,x942)+E(f20(x943,x941,x944,x945,x946),f20(x943,x942,x944,x945,x946))
% 2.91/2.98 [95]~E(x951,x952)+E(f20(x953,x954,x951,x955,x956),f20(x953,x954,x952,x955,x956))
% 2.91/2.98 [96]~E(x961,x962)+E(f20(x963,x964,x965,x961,x966),f20(x963,x964,x965,x962,x966))
% 2.91/2.98 [97]~E(x971,x972)+E(f20(x973,x974,x975,x976,x971),f20(x973,x974,x975,x976,x972))
% 2.91/2.98 [98]~E(x981,x982)+E(f8(x981,x983,x984),f8(x982,x983,x984))
% 2.91/2.98 [99]~E(x991,x992)+E(f8(x993,x991,x994),f8(x993,x992,x994))
% 2.91/2.98 [100]~E(x1001,x1002)+E(f8(x1003,x1004,x1001),f8(x1003,x1004,x1002))
% 2.91/2.98 [101]~E(x1011,x1012)+E(f17(x1011,x1013,x1014,x1015,x1016),f17(x1012,x1013,x1014,x1015,x1016))
% 2.91/2.98 [102]~E(x1021,x1022)+E(f17(x1023,x1021,x1024,x1025,x1026),f17(x1023,x1022,x1024,x1025,x1026))
% 2.91/2.98 [103]~E(x1031,x1032)+E(f17(x1033,x1034,x1031,x1035,x1036),f17(x1033,x1034,x1032,x1035,x1036))
% 2.91/2.98 [104]~E(x1041,x1042)+E(f17(x1043,x1044,x1045,x1041,x1046),f17(x1043,x1044,x1045,x1042,x1046))
% 2.91/2.98 [105]~E(x1051,x1052)+E(f17(x1053,x1054,x1055,x1056,x1051),f17(x1053,x1054,x1055,x1056,x1052))
% 2.91/2.98 [106]~E(x1061,x1062)+E(f30(x1061,x1063),f30(x1062,x1063))
% 2.91/2.98 [107]~E(x1071,x1072)+E(f30(x1073,x1071),f30(x1073,x1072))
% 2.91/2.98 [108]~E(x1081,x1082)+E(f13(x1081),f13(x1082))
% 2.91/2.98 [109]~P1(x1091)+P1(x1092)+~E(x1091,x1092)
% 2.91/2.98 [110]~P2(x1101)+P2(x1102)+~E(x1101,x1102)
% 2.91/2.98 [111]~P3(x1111)+P3(x1112)+~E(x1111,x1112)
% 2.91/2.98 [112]~P37(x1121)+P37(x1122)+~E(x1121,x1122)
% 2.91/2.98 [113]P9(x1132,x1133,x1134,x1135)+~E(x1131,x1132)+~P9(x1131,x1133,x1134,x1135)
% 2.91/2.98 [114]P9(x1143,x1142,x1144,x1145)+~E(x1141,x1142)+~P9(x1143,x1141,x1144,x1145)
% 2.91/2.98 [115]P9(x1153,x1154,x1152,x1155)+~E(x1151,x1152)+~P9(x1153,x1154,x1151,x1155)
% 2.91/2.98 [116]P9(x1163,x1164,x1165,x1162)+~E(x1161,x1162)+~P9(x1163,x1164,x1165,x1161)
% 2.91/2.98 [117]~P38(x1171)+P38(x1172)+~E(x1171,x1172)
% 2.91/2.98 [118]P6(x1182,x1183,x1184)+~E(x1181,x1182)+~P6(x1181,x1183,x1184)
% 2.91/2.98 [119]P6(x1193,x1192,x1194)+~E(x1191,x1192)+~P6(x1193,x1191,x1194)
% 2.91/2.98 [120]P6(x1203,x1204,x1202)+~E(x1201,x1202)+~P6(x1203,x1204,x1201)
% 2.91/2.98 [121]~P13(x1211)+P13(x1212)+~E(x1211,x1212)
% 2.91/2.98 [122]~P14(x1221)+P14(x1222)+~E(x1221,x1222)
% 2.91/2.98 [123]~P27(x1231)+P27(x1232)+~E(x1231,x1232)
% 2.91/2.98 [124]~P45(x1241)+P45(x1242)+~E(x1241,x1242)
% 2.91/2.98 [125]~P65(x1251)+P65(x1252)+~E(x1251,x1252)
% 2.91/2.98 [126]~P46(x1261)+P46(x1262)+~E(x1261,x1262)
% 2.91/2.98 [127]~P28(x1271)+P28(x1272)+~E(x1271,x1272)
% 2.91/2.98 [128]~P29(x1281)+P29(x1282)+~E(x1281,x1282)
% 2.91/2.98 [129]~P47(x1291)+P47(x1292)+~E(x1291,x1292)
% 2.91/2.98 [130]~P15(x1301)+P15(x1302)+~E(x1301,x1302)
% 2.91/2.98 [131]~P19(x1311)+P19(x1312)+~E(x1311,x1312)
% 2.91/2.98 [132]~P48(x1321)+P48(x1322)+~E(x1321,x1322)
% 2.91/2.98 [133]~P39(x1331)+P39(x1332)+~E(x1331,x1332)
% 2.91/2.98 [134]~P20(x1341)+P20(x1342)+~E(x1341,x1342)
% 2.91/2.98 [135]P11(x1352,x1353,x1354)+~E(x1351,x1352)+~P11(x1351,x1353,x1354)
% 2.91/2.98 [136]P11(x1363,x1362,x1364)+~E(x1361,x1362)+~P11(x1363,x1361,x1364)
% 2.91/2.98 [137]P11(x1373,x1374,x1372)+~E(x1371,x1372)+~P11(x1373,x1374,x1371)
% 2.91/2.98 [138]~P21(x1381)+P21(x1382)+~E(x1381,x1382)
% 2.91/2.98 [139]P7(x1392,x1393,x1394)+~E(x1391,x1392)+~P7(x1391,x1393,x1394)
% 2.91/2.98 [140]P7(x1403,x1402,x1404)+~E(x1401,x1402)+~P7(x1403,x1401,x1404)
% 2.91/2.98 [141]P7(x1413,x1414,x1412)+~E(x1411,x1412)+~P7(x1413,x1414,x1411)
% 2.91/2.98 [142]~P58(x1421)+P58(x1422)+~E(x1421,x1422)
% 2.91/2.98 [143]~P59(x1431)+P59(x1432)+~E(x1431,x1432)
% 2.91/2.98 [144]~P23(x1441)+P23(x1442)+~E(x1441,x1442)
% 2.91/2.98 [145]~P26(x1451)+P26(x1452)+~E(x1451,x1452)
% 2.91/2.98 [146]~P49(x1461)+P49(x1462)+~E(x1461,x1462)
% 2.91/2.98 [147]~P50(x1471)+P50(x1472)+~E(x1471,x1472)
% 2.91/2.98 [148]~P51(x1481)+P51(x1482)+~E(x1481,x1482)
% 2.91/2.98 [149]~P52(x1491)+P52(x1492)+~E(x1491,x1492)
% 2.91/2.98 [150]~P60(x1501)+P60(x1502)+~E(x1501,x1502)
% 2.91/2.98 [151]~P30(x1511)+P30(x1512)+~E(x1511,x1512)
% 2.91/2.98 [152]~P36(x1521)+P36(x1522)+~E(x1521,x1522)
% 2.91/2.98 [153]~P4(x1531)+P4(x1532)+~E(x1531,x1532)
% 2.91/2.98 [154]~P41(x1541)+P41(x1542)+~E(x1541,x1542)
% 2.91/2.98 [155]~P34(x1551)+P34(x1552)+~E(x1551,x1552)
% 2.91/2.98 [156]~P53(x1561)+P53(x1562)+~E(x1561,x1562)
% 2.91/2.98 [157]~P55(x1571)+P55(x1572)+~E(x1571,x1572)
% 2.91/2.98 [158]~P40(x1581)+P40(x1582)+~E(x1581,x1582)
% 2.91/2.98 [159]P8(x1592,x1593,x1594)+~E(x1591,x1592)+~P8(x1591,x1593,x1594)
% 2.91/2.98 [160]P8(x1603,x1602,x1604)+~E(x1601,x1602)+~P8(x1603,x1601,x1604)
% 2.91/2.98 [161]P8(x1613,x1614,x1612)+~E(x1611,x1612)+~P8(x1613,x1614,x1611)
% 2.91/2.98 [162]~P16(x1621)+P16(x1622)+~E(x1621,x1622)
% 2.91/2.98 [163]~P17(x1631)+P17(x1632)+~E(x1631,x1632)
% 2.91/2.98 [164]~P54(x1641)+P54(x1642)+~E(x1641,x1642)
% 2.91/2.98 [165]~P24(x1651)+P24(x1652)+~E(x1651,x1652)
% 2.91/2.98 [166]~P42(x1661)+P42(x1662)+~E(x1661,x1662)
% 2.91/2.98 [167]P5(x1672,x1673)+~E(x1671,x1672)+~P5(x1671,x1673)
% 2.91/2.98 [168]P5(x1683,x1682)+~E(x1681,x1682)+~P5(x1683,x1681)
% 2.91/2.98 [169]~P57(x1691)+P57(x1692)+~E(x1691,x1692)
% 2.91/2.98 [170]~P66(x1701)+P66(x1702)+~E(x1701,x1702)
% 2.91/2.98 [171]~P61(x1711)+P61(x1712)+~E(x1711,x1712)
% 2.91/2.98 [172]~P33(x1721)+P33(x1722)+~E(x1721,x1722)
% 2.91/2.98 [173]P10(x1732,x1733,x1734)+~E(x1731,x1732)+~P10(x1731,x1733,x1734)
% 2.91/2.98 [174]P10(x1743,x1742,x1744)+~E(x1741,x1742)+~P10(x1743,x1741,x1744)
% 2.91/2.98 [175]P10(x1753,x1754,x1752)+~E(x1751,x1752)+~P10(x1753,x1754,x1751)
% 2.91/2.98 [176]~P62(x1761)+P62(x1762)+~E(x1761,x1762)
% 2.91/2.98 [177]~P35(x1771)+P35(x1772)+~E(x1771,x1772)
% 2.91/2.98 [178]~P18(x1781)+P18(x1782)+~E(x1781,x1782)
% 2.91/2.98 [179]~P64(x1791)+P64(x1792)+~E(x1791,x1792)
% 2.91/2.98 [180]~P32(x1801)+P32(x1802)+~E(x1801,x1802)
% 2.91/2.98 [181]~P31(x1811)+P31(x1812)+~E(x1811,x1812)
% 2.91/2.98 [182]~P56(x1821)+P56(x1822)+~E(x1821,x1822)
% 2.91/2.98 [183]~P12(x1831)+P12(x1832)+~E(x1831,x1832)
% 2.91/2.98 [184]~P22(x1841)+P22(x1842)+~E(x1841,x1842)
% 2.91/2.98 [185]~P44(x1851)+P44(x1852)+~E(x1851,x1852)
% 2.91/2.98 [186]~P43(x1861)+P43(x1862)+~E(x1861,x1862)
% 2.91/2.98 [187]~P63(x1871)+P63(x1872)+~E(x1871,x1872)
% 2.91/2.98 [188]~P25(x1881)+P25(x1882)+~E(x1881,x1882)
% 2.91/2.98
% 2.91/2.98 %-------------------------------------------
% 2.91/2.99 cnf(1330,plain,
% 2.91/2.99 (P8(x13301,f25(f25(x13302,x13301,a1),f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[344])).
% 2.91/2.99 cnf(1333,plain,
% 2.91/2.99 (~P8(f25(x13331,x13332,a1),x13332,a1)),
% 2.91/2.99 inference(rename_variables,[],[410])).
% 2.91/2.99 cnf(1338,plain,
% 2.91/2.99 (~P11(f25(x13381,f26(a1),a1),x13381,a1)),
% 2.91/2.99 inference(rename_variables,[],[412])).
% 2.91/2.99 cnf(1341,plain,
% 2.91/2.99 (~P11(f25(x13411,f26(a1),a1),x13411,a1)),
% 2.91/2.99 inference(rename_variables,[],[412])).
% 2.91/2.99 cnf(1344,plain,
% 2.91/2.99 (~P8(f25(x13441,x13442,a1),x13442,a1)),
% 2.91/2.99 inference(rename_variables,[],[410])).
% 2.91/2.99 cnf(1347,plain,
% 2.91/2.99 (~P8(f25(x13471,x13472,a1),x13472,a1)),
% 2.91/2.99 inference(rename_variables,[],[410])).
% 2.91/2.99 cnf(1350,plain,
% 2.91/2.99 (~P8(f25(x13501,x13502,a1),x13502,a1)),
% 2.91/2.99 inference(rename_variables,[],[410])).
% 2.91/2.99 cnf(1353,plain,
% 2.91/2.99 (~P11(f25(x13531,f26(a1),a1),x13531,a1)),
% 2.91/2.99 inference(rename_variables,[],[412])).
% 2.91/2.99 cnf(1356,plain,
% 2.91/2.99 (P8(x13561,f25(x13561,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1359,plain,
% 2.91/2.99 (P8(x13591,f25(x13591,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1362,plain,
% 2.91/2.99 (~E(f25(x13621,f26(a1),a1),x13621)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1365,plain,
% 2.91/2.99 (~E(f25(x13651,f26(a1),a1),f24(a1))),
% 2.91/2.99 inference(rename_variables,[],[399])).
% 2.91/2.99 cnf(1371,plain,
% 2.91/2.99 (P8(x13711,f25(f25(x13711,x13712,a1),f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[346])).
% 2.91/2.99 cnf(1378,plain,
% 2.91/2.99 (~E(f25(x13781,f26(a1),a1),f24(a1))),
% 2.91/2.99 inference(rename_variables,[],[399])).
% 2.91/2.99 cnf(1381,plain,
% 2.91/2.99 (E(f4(f25(x13811,x13812,a1),x13812,a1),x13811)),
% 2.91/2.99 inference(rename_variables,[],[288])).
% 2.91/2.99 cnf(1388,plain,
% 2.91/2.99 (~P8(x13881,x13881,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1391,plain,
% 2.91/2.99 (~P8(x13911,x13911,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1394,plain,
% 2.91/2.99 (~P8(x13941,x13941,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1397,plain,
% 2.91/2.99 (~P8(x13971,x13971,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1402,plain,
% 2.91/2.99 (~E(f25(x14021,f26(a1),a1),x14021)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1405,plain,
% 2.91/2.99 (P11(x14051,f36(x14052,x14051,x14053),f41(x14053,a2))),
% 2.91/2.99 inference(rename_variables,[],[304])).
% 2.91/2.99 cnf(1408,plain,
% 2.91/2.99 (~E(f25(x14081,f26(a1),a1),f24(a1))),
% 2.91/2.99 inference(rename_variables,[],[399])).
% 2.91/2.99 cnf(1411,plain,
% 2.91/2.99 (~E(f25(x14111,f26(a1),a1),x14111)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1416,plain,
% 2.91/2.99 (P11(f29(x14161,x14162,f41(x14163,a2)),x14162,f41(x14163,a2))),
% 2.91/2.99 inference(rename_variables,[],[306])).
% 2.91/2.99 cnf(1419,plain,
% 2.91/2.99 (P11(f29(x14191,x14192,f41(x14193,a2)),x14192,f41(x14193,a2))),
% 2.91/2.99 inference(rename_variables,[],[306])).
% 2.91/2.99 cnf(1422,plain,
% 2.91/2.99 (~P8(x14221,x14221,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1425,plain,
% 2.91/2.99 (~P11(f25(x14251,f26(a1),a1),x14251,a1)),
% 2.91/2.99 inference(rename_variables,[],[412])).
% 2.91/2.99 cnf(1428,plain,
% 2.91/2.99 (~P8(x14281,x14281,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1431,plain,
% 2.91/2.99 (P11(x14311,f36(x14312,x14311,x14313),f41(x14313,a2))),
% 2.91/2.99 inference(rename_variables,[],[304])).
% 2.91/2.99 cnf(1459,plain,
% 2.91/2.99 (E(f21(x14591,x14592,f35(x14591,x14592),x14593,x14594),x14591)),
% 2.91/2.99 inference(rename_variables,[],[379])).
% 2.91/2.99 cnf(1463,plain,
% 2.91/2.99 (~P66(f35(f28(f41(x14631,a2)),x14632))),
% 2.91/2.99 inference(rename_variables,[],[409])).
% 2.91/2.99 cnf(1466,plain,
% 2.91/2.99 (P8(x14661,f25(f25(x14662,x14661,a1),f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[344])).
% 2.91/2.99 cnf(1468,plain,
% 2.91/2.99 (~P8(x14681,x14681,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1474,plain,
% 2.91/2.99 (P11(x14741,f34(f41(x14742,a2)),f41(x14742,a2))),
% 2.91/2.99 inference(rename_variables,[],[271])).
% 2.91/2.99 cnf(1475,plain,
% 2.91/2.99 (~P11(f25(x14751,f26(a1),a1),x14751,a1)),
% 2.91/2.99 inference(rename_variables,[],[412])).
% 2.91/2.99 cnf(1477,plain,
% 2.91/2.99 (~P11(f25(x14771,f26(a1),a1),x14771,a1)),
% 2.91/2.99 inference(rename_variables,[],[412])).
% 2.91/2.99 cnf(1479,plain,
% 2.91/2.99 (P11(f24(a1),x14791,a1)),
% 2.91/2.99 inference(rename_variables,[],[243])).
% 2.91/2.99 cnf(1485,plain,
% 2.91/2.99 (~E(f25(x14851,f26(a1),a1),x14851)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1488,plain,
% 2.91/2.99 (P11(f24(a1),x14881,a1)),
% 2.91/2.99 inference(rename_variables,[],[243])).
% 2.91/2.99 cnf(1495,plain,
% 2.91/2.99 (P11(f24(a1),x14951,a1)),
% 2.91/2.99 inference(rename_variables,[],[243])).
% 2.91/2.99 cnf(1498,plain,
% 2.91/2.99 (~P8(x14981,f24(a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[393])).
% 2.91/2.99 cnf(1501,plain,
% 2.91/2.99 (P8(x15011,f25(x15011,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1502,plain,
% 2.91/2.99 (P8(x15021,f25(f25(x15022,x15021,a1),f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[344])).
% 2.91/2.99 cnf(1505,plain,
% 2.91/2.99 (P8(x15051,f25(x15051,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1506,plain,
% 2.91/2.99 (~P11(f25(x15061,f26(a1),a1),x15061,a1)),
% 2.91/2.99 inference(rename_variables,[],[412])).
% 2.91/2.99 cnf(1509,plain,
% 2.91/2.99 (P8(x15091,f25(f25(x15092,x15091,a1),f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[344])).
% 2.91/2.99 cnf(1512,plain,
% 2.91/2.99 (~P8(x15121,f24(a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[393])).
% 2.91/2.99 cnf(1515,plain,
% 2.91/2.99 (P11(x15151,f36(x15152,x15151,x15153),f41(x15153,a2))),
% 2.91/2.99 inference(rename_variables,[],[304])).
% 2.91/2.99 cnf(1518,plain,
% 2.91/2.99 (P11(x15181,f36(x15182,x15181,x15183),f41(x15183,a2))),
% 2.91/2.99 inference(rename_variables,[],[304])).
% 2.91/2.99 cnf(1522,plain,
% 2.91/2.99 (P11(x15221,f36(x15222,x15221,x15223),f41(x15223,a2))),
% 2.91/2.99 inference(rename_variables,[],[304])).
% 2.91/2.99 cnf(1526,plain,
% 2.91/2.99 (P11(f29(x15261,x15262,f41(x15263,a2)),x15262,f41(x15263,a2))),
% 2.91/2.99 inference(rename_variables,[],[306])).
% 2.91/2.99 cnf(1529,plain,
% 2.91/2.99 (P8(x15291,f25(x15291,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1530,plain,
% 2.91/2.99 (~E(f25(x15301,f26(a1),a1),x15301)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1533,plain,
% 2.91/2.99 (P8(x15331,f25(x15331,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1534,plain,
% 2.91/2.99 (~E(f25(x15341,f26(a1),a1),x15341)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1537,plain,
% 2.91/2.99 (P8(x15371,f25(x15371,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1540,plain,
% 2.91/2.99 (~E(f25(x15401,f26(a1),a1),x15401)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1543,plain,
% 2.91/2.99 (P8(x15431,f25(x15431,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1544,plain,
% 2.91/2.99 (~P8(x15441,x15441,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1551,plain,
% 2.91/2.99 (P11(x15511,x15511,a1)),
% 2.91/2.99 inference(rename_variables,[],[240])).
% 2.91/2.99 cnf(1554,plain,
% 2.91/2.99 (P11(x15541,x15541,a1)),
% 2.91/2.99 inference(rename_variables,[],[240])).
% 2.91/2.99 cnf(1557,plain,
% 2.91/2.99 (~P8(x15571,x15571,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1560,plain,
% 2.91/2.99 (~P8(x15601,x15601,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1563,plain,
% 2.91/2.99 (~P8(x15631,x15631,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1566,plain,
% 2.91/2.99 (P8(x15661,f25(x15661,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1569,plain,
% 2.91/2.99 (P8(x15691,f25(x15691,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1583,plain,
% 2.91/2.99 (~E(f25(x15831,f26(a1),a1),x15831)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1586,plain,
% 2.91/2.99 (E(f4(x15861,f25(x15861,x15862,a1),a1),f24(a1))),
% 2.91/2.99 inference(rename_variables,[],[290])).
% 2.91/2.99 cnf(1589,plain,
% 2.91/2.99 (P8(x15891,f25(x15891,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1594,plain,
% 2.91/2.99 (P11(f24(a1),x15941,a1)),
% 2.91/2.99 inference(rename_variables,[],[243])).
% 2.91/2.99 cnf(1597,plain,
% 2.91/2.99 (P11(x15971,x15971,a1)),
% 2.91/2.99 inference(rename_variables,[],[240])).
% 2.91/2.99 cnf(1600,plain,
% 2.91/2.99 (~P8(f25(x16001,x16002,a1),x16002,a1)),
% 2.91/2.99 inference(rename_variables,[],[410])).
% 2.91/2.99 cnf(1601,plain,
% 2.91/2.99 (P8(x16011,f25(x16011,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1618,plain,
% 2.91/2.99 (~P8(x16181,x16181,f41(x16182,a2))),
% 2.91/2.99 inference(rename_variables,[],[402])).
% 2.91/2.99 cnf(1621,plain,
% 2.91/2.99 (P11(x16211,f36(x16212,x16211,x16213),f41(x16213,a2))),
% 2.91/2.99 inference(rename_variables,[],[304])).
% 2.91/2.99 cnf(1626,plain,
% 2.91/2.99 (~P8(x16261,f24(a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[393])).
% 2.91/2.99 cnf(1633,plain,
% 2.91/2.99 (~E(f25(x16331,f26(a1),a1),x16331)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1636,plain,
% 2.91/2.99 (~E(f25(x16361,f26(a1),a1),x16361)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1645,plain,
% 2.91/2.99 (~P11(f25(x16451,f26(a1),a1),x16451,a1)),
% 2.91/2.99 inference(rename_variables,[],[412])).
% 2.91/2.99 cnf(1650,plain,
% 2.91/2.99 (~E(f25(x16501,f26(a1),a1),x16501)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1653,plain,
% 2.91/2.99 (~E(f25(x16531,f26(a1),a1),x16531)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1665,plain,
% 2.91/2.99 (P11(x16651,x16651,a1)),
% 2.91/2.99 inference(rename_variables,[],[240])).
% 2.91/2.99 cnf(1668,plain,
% 2.91/2.99 (P8(x16681,f25(x16681,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1671,plain,
% 2.91/2.99 (P11(x16711,x16711,a1)),
% 2.91/2.99 inference(rename_variables,[],[240])).
% 2.91/2.99 cnf(1674,plain,
% 2.91/2.99 (P8(x16741,f25(x16741,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1677,plain,
% 2.91/2.99 (~P11(f25(x16771,f26(a1),a1),x16771,a1)),
% 2.91/2.99 inference(rename_variables,[],[412])).
% 2.91/2.99 cnf(1680,plain,
% 2.91/2.99 (~P8(x16801,x16801,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1683,plain,
% 2.91/2.99 (~P11(f25(x16831,f26(a1),a1),x16831,a1)),
% 2.91/2.99 inference(rename_variables,[],[412])).
% 2.91/2.99 cnf(1686,plain,
% 2.91/2.99 (~P8(x16861,x16861,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1689,plain,
% 2.91/2.99 (~E(f25(x16891,f26(a1),a1),x16891)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1692,plain,
% 2.91/2.99 (~E(f25(x16921,f26(a1),a1),x16921)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1698,plain,
% 2.91/2.99 (P11(x16981,f27(x16981,x16981,a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[282])).
% 2.91/2.99 cnf(1701,plain,
% 2.91/2.99 (P11(f24(a1),x17011,a1)),
% 2.91/2.99 inference(rename_variables,[],[243])).
% 2.91/2.99 cnf(1707,plain,
% 2.91/2.99 (P11(x17071,f27(x17071,x17071,a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[282])).
% 2.91/2.99 cnf(1711,plain,
% 2.91/2.99 (~P8(x17111,x17111,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1714,plain,
% 2.91/2.99 (P11(f24(a1),x17141,a1)),
% 2.91/2.99 inference(rename_variables,[],[243])).
% 2.91/2.99 cnf(1717,plain,
% 2.91/2.99 (~P8(x17171,f24(a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[393])).
% 2.91/2.99 cnf(1721,plain,
% 2.91/2.99 (P11(f24(a1),x17211,a1)),
% 2.91/2.99 inference(rename_variables,[],[243])).
% 2.91/2.99 cnf(1722,plain,
% 2.91/2.99 (P11(x17221,x17221,a1)),
% 2.91/2.99 inference(rename_variables,[],[240])).
% 2.91/2.99 cnf(1725,plain,
% 2.91/2.99 (P8(x17251,f25(x17251,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1728,plain,
% 2.91/2.99 (P11(x17281,x17281,a1)),
% 2.91/2.99 inference(rename_variables,[],[240])).
% 2.91/2.99 cnf(1731,plain,
% 2.91/2.99 (~P8(f25(x17311,x17312,a1),x17312,a1)),
% 2.91/2.99 inference(rename_variables,[],[410])).
% 2.91/2.99 cnf(1737,plain,
% 2.91/2.99 (P8(x17371,f25(x17371,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1740,plain,
% 2.91/2.99 (E(f4(x17401,f28(f41(x17402,a2)),f41(x17402,a2)),x17401)),
% 2.91/2.99 inference(rename_variables,[],[274])).
% 2.91/2.99 cnf(1750,plain,
% 2.91/2.99 (~P8(x17501,x17501,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1751,plain,
% 2.91/2.99 (P8(x17511,f25(x17511,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1754,plain,
% 2.91/2.99 (~P8(x17541,x17541,a1)),
% 2.91/2.99 inference(rename_variables,[],[390])).
% 2.91/2.99 cnf(1755,plain,
% 2.91/2.99 (P8(x17551,f25(x17551,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1759,plain,
% 2.91/2.99 (~E(f25(x17591,f26(a1),a1),x17591)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1764,plain,
% 2.91/2.99 (P11(x17641,x17641,a1)),
% 2.91/2.99 inference(rename_variables,[],[240])).
% 2.91/2.99 cnf(1767,plain,
% 2.91/2.99 (P11(f24(a1),x17671,a1)),
% 2.91/2.99 inference(rename_variables,[],[243])).
% 2.91/2.99 cnf(1770,plain,
% 2.91/2.99 (~P8(f25(x17701,x17702,a1),x17702,a1)),
% 2.91/2.99 inference(rename_variables,[],[410])).
% 2.91/2.99 cnf(1771,plain,
% 2.91/2.99 (P8(x17711,f25(x17711,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1774,plain,
% 2.91/2.99 (P11(x17741,x17741,a1)),
% 2.91/2.99 inference(rename_variables,[],[240])).
% 2.91/2.99 cnf(1778,plain,
% 2.91/2.99 (P11(x17781,x17781,a1)),
% 2.91/2.99 inference(rename_variables,[],[240])).
% 2.91/2.99 cnf(1787,plain,
% 2.91/2.99 (~E(f25(x17871,f26(a1),a1),x17871)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1836,plain,
% 2.91/2.99 (P8(x18361,f25(x18361,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1839,plain,
% 2.91/2.99 (P8(x18391,f25(x18391,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1842,plain,
% 2.91/2.99 (P8(x18421,f25(x18421,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1845,plain,
% 2.91/2.99 (P8(x18451,f25(x18451,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1848,plain,
% 2.91/2.99 (P8(x18481,f25(x18481,f26(a1),a1),a1)),
% 2.91/2.99 inference(rename_variables,[],[296])).
% 2.91/2.99 cnf(1851,plain,
% 2.91/2.99 (~E(f25(x18511,f26(a1),a1),x18511)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1854,plain,
% 2.91/2.99 (~E(f25(x18541,f26(a1),a1),x18541)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1857,plain,
% 2.91/2.99 (~E(f25(x18571,f26(a1),a1),x18571)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1860,plain,
% 2.91/2.99 (~E(f25(x18601,f26(a1),a1),x18601)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(1867,plain,
% 2.91/2.99 (~E(f25(x18671,f26(a1),a1),x18671)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(2064,plain,
% 2.91/2.99 (~E(f25(x20641,f26(a1),a1),x20641)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(2067,plain,
% 2.91/2.99 (~E(f25(x20671,f26(a1),a1),x20671)),
% 2.91/2.99 inference(rename_variables,[],[395])).
% 2.91/2.99 cnf(2077,plain,
% 2.91/2.99 ($false),
% 2.91/2.99 inference(scs_inference,[],[236,241,238,240,1551,1554,1597,1665,1671,1722,1728,1764,1774,1778,390,1388,1391,1394,1397,1422,1428,1468,1544,1557,1560,1563,1680,1686,1711,1750,1754,237,189,191,192,194,195,196,198,199,200,204,205,208,209,210,211,212,217,219,221,223,224,225,226,229,231,232,233,243,1479,1488,1495,1594,1701,1714,1721,1767,393,1498,1512,1626,1717,401,362,300,414,375,376,294,262,402,1618,282,1698,1707,283,286,287,410,1333,1344,1347,1350,1600,1731,1770,411,304,1405,1431,1515,1518,1522,1621,320,266,267,407,379,1459,259,296,1356,1359,1501,1505,1529,1533,1537,1543,1566,1569,1589,1601,1668,1674,1725,1737,1751,1755,1771,1836,1839,1842,1845,1848,412,1338,1341,1353,1425,1475,1477,1506,1645,1677,1683,288,1381,289,245,248,395,1362,1402,1411,1485,1530,1534,1540,1583,1633,1636,1650,1653,1689,1692,1759,1787,1851,1854,1857,1860,1867,2064,2067,313,306,1416,1419,1526,308,271,1474,272,408,404,344,1330,1466,1502,1509,346,1371,316,290,1586,291,399,1365,1378,1408,276,409,1463,368,274,1740,318,325,413,374,314,2,495,482,417,491,856,855,789,776,775,774,711,696,695,693,690,688,649,444,707,706,484,807,682,1060,875,869,578,546,525,503,1048,1047,806,805,704,1040,879,702,667,1208,1007,1006,963,962,961,935,782,1195,1252,1221,968,703,1126,1296,1295,1266,1250,1308,181,173,170,168,160,159,154,140,139,137,136,135,120,119,118,115,3,587,552,551,545,512,733,662,867,792,744,709,641,567,854,853,848,493,905,802,801,800,798,728,727,635,615,1159,1193,979,777,664,663,509,501,1106,637,980,906,1206,1064,1063,896,895,851,815,814,813,738,736,646,565,480,536,1209,1069,1068,969,506,504,975,952,595,1277,1276,1275,1274,1265,1264,1263,1262,1197,1196,1234,677,676,675,674,672,614,563,850,883,1015,1013,1012,1011,810,809,971,978,977,515,1067,891,890,889,888,1142,538,507,436,492,433,746,819,973,786,715,651,577,575,571,446,445,443,438,429,428,427,426,425,424,423,422,421,1059,1046,732,724,723,490,489,488,487,784,783,681,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1223,1172,1170,1082,1077,1061,1045,1044,1043,1042,1016,967,941,940,939,878,877,876,874,872,870,868,849,773,718,691,624,623,622,570,569,550,542,539,524,523,463,454,452,442,419,418,416,1041,993,985,779,1125,1124,1282,1150]),
% 2.91/2.99 ['proof']).
% 2.91/2.99 % SZS output end Proof
% 2.91/2.99 % Total time :1.970000s
%------------------------------------------------------------------------------