TSTP Solution File: SCT097-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SCT097-1 : 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 : n006.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 14:10:08 EDT 2023
% Result : Unsatisfiable 2.56s 2.90s
% Output : CNFRefutation 2.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT097-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.07/0.32 % Computer : n006.cluster.edu
% 0.07/0.32 % Model : x86_64 x86_64
% 0.07/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.32 % Memory : 8042.1875MB
% 0.07/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.32 % CPULimit : 300
% 0.07/0.32 % WCLimit : 300
% 0.07/0.32 % DateTime : Thu Aug 24 15:04:22 EDT 2023
% 0.07/0.32 % CPUTime :
% 0.13/0.57 start to proof:theBenchmark
% 2.56/2.78 %-------------------------------------------
% 2.56/2.78 % File :CSE---1.6
% 2.56/2.78 % Problem :theBenchmark
% 2.56/2.78 % Transform :cnf
% 2.56/2.78 % Format :tptp:raw
% 2.56/2.78 % Command :java -jar mcs_scs.jar %d %s
% 2.56/2.78
% 2.56/2.78 % Result :Theorem 1.640000s
% 2.56/2.78 % Output :CNFRefutation 1.640000s
% 2.56/2.78 %-------------------------------------------
% 2.56/2.78 %------------------------------------------------------------------------------
% 2.56/2.78 % File : SCT097-1 : TPTP v8.1.2. Released v4.1.0.
% 2.56/2.79 % Domain : Social Choice Theory
% 2.56/2.79 % Problem : Arrow Order 308_3
% 2.56/2.79 % Version : Especial.
% 2.56/2.79 % English : Formalization of two proofs of Arrow's impossibility theorem. One
% 2.56/2.79 % formalization is based on utility functions, the other one on
% 2.56/2.79 % strict partial orders.
% 2.56/2.79
% 2.56/2.79 % Refs : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and
% 2.56/2.79 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 2.56/2.79 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 2.56/2.79 % Source : [Nip10]
% 2.56/2.79 % Names : Arrow_Order-308_37 [Nip10]
% 2.56/2.79
% 2.56/2.79 % Status : Unsatisfiable
% 2.56/2.79 % Rating : 0.14 v8.1.0, 0.16 v7.5.0, 0.11 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, 0.21 v6.0.0, 0.20 v5.5.0, 0.55 v5.3.0, 0.44 v5.2.0, 0.50 v5.1.0, 0.53 v5.0.0, 0.43 v4.1.0
% 2.56/2.79 % Syntax : Number of clauses : 1345 ( 217 unt; 208 nHn; 804 RR)
% 2.56/2.79 % Number of literals : 3683 ( 672 equ;2148 neg)
% 2.56/2.79 % Maximal clause size : 6 ( 2 avg)
% 2.56/2.79 % Maximal term depth : 15 ( 2 avg)
% 2.56/2.79 % Number of predicates : 84 ( 83 usr; 0 prp; 1-6 aty)
% 2.56/2.79 % Number of functors : 111 ( 111 usr; 20 con; 0-7 aty)
% 2.56/2.79 % Number of variables : 4347 ( 309 sgn)
% 2.56/2.79 % SPC : CNF_UNS_RFO_SEQ_NHN
% 2.56/2.79
% 2.56/2.79 % Comments :
% 2.56/2.79 %------------------------------------------------------------------------------
% 2.56/2.79 cnf(cls_divide__le__0__iff_3,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.79 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.79 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_divide__le__0__iff_2,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.79 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.79 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.79 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_divide__le__0__iff_1,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.79 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_divide__le__0__iff_0,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.79 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.79 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 2.56/2.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.56/2.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_Int__empty__right_0,axiom,
% 2.56/2.79 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)) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_Int__empty__left_0,axiom,
% 2.56/2.79 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)) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_inf__bot__left_0,axiom,
% 2.56/2.79 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.56/2.79 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_inf__bot__right_0,axiom,
% 2.56/2.79 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.56/2.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_sum__squares__ge__zero_0,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_rtrancl__mono_0,axiom,
% 2.56/2.79 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 2.56/2.79 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_zero__le__divide__1__iff_1,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b),T_a)
% 2.56/2.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_zero__le__divide__1__iff_0,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b),T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_sym__Un_0,axiom,
% 2.56/2.79 ( c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 2.56/2.79 | ~ c_Relation_Osym(V_s,T_a)
% 2.56/2.79 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_Domain__insert_0,axiom,
% 2.56/2.79 c_Relation_ODomain(c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)),T_a,T_b) = c_Set_Oinsert(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_subset__Compl__self__eq_1,axiom,
% 2.56/2.79 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_insert__code_0,axiom,
% 2.56/2.79 ( hBOOL(hAPP(V_A,V_x))
% 2.56/2.79 | V_y = V_x
% 2.56/2.79 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_le__add__iff1_0,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.56/2.79 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c),V_d,T_a)
% 2.56/2.79 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_le__add__iff1_1,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.56/2.79 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a)
% 2.56/2.79 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c),V_d,T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_le__add__iff2_0,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.56/2.79 | c_lessequals(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d),T_a)
% 2.56/2.79 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_le__add__iff2_1,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.56/2.79 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a)
% 2.56/2.79 | ~ c_lessequals(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d),T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_divide__le__0__iff_5,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.79 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.79 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_divide__le__0__iff_4,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.79 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.79 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_power__decreasing_0,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.79 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 2.56/2.79 | ~ c_lessequals(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 2.56/2.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.79 | ~ c_lessequals(V_n,V_N,tc_nat) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_insert__absorb2_0,axiom,
% 2.56/2.79 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) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_add__eq__inf__sup_0,axiom,
% 2.56/2.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_Image__empty_0,axiom,
% 2.56/2.79 c_Relation_OImage(V_R,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)) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_le__imp__power__dvd_0,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.79 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 2.56/2.79 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_add__increasing2_0,axiom,
% 2.56/2.79 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.56/2.79 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.56/2.79 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 2.56/2.79 | ~ c_lessequals(V_b,V_a,T_a)
% 2.56/2.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_add__increasing_0,axiom,
% 2.56/2.79 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.56/2.79 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.56/2.79 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 2.56/2.79 | ~ c_lessequals(V_b,V_c,T_a)
% 2.56/2.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_insert__inter__insert_0,axiom,
% 2.56/2.79 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) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_vimage__singleton__eq_1,axiom,
% 2.56/2.79 hBOOL(hAPP(hAPP(c_in(T_aa),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))) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_insert__not__empty_0,axiom,
% 2.56/2.79 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_Un__UNIV__right_0,axiom,
% 2.56/2.79 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_Un__UNIV__left_0,axiom,
% 2.56/2.79 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_sup__top__left_0,axiom,
% 2.56/2.79 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.56/2.79 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_sup__top__right_0,axiom,
% 2.56/2.79 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.56/2.79 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_vimage__UNIV_0,axiom,
% 2.56/2.79 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)) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_bot__least_0,axiom,
% 2.56/2.79 ( ~ class_Orderings_Obot(T_a)
% 2.56/2.79 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_empty__subsetI_0,axiom,
% 2.56/2.79 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_setsum__eq__0__iff_0,axiom,
% 2.56/2.79 ( hAPP(hAPP(c_Finite__Set_Osetsum(T_a,tc_nat),V_f),V_F) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.56/2.79 | ~ c_Finite__Set_Ofinite(V_F,T_a)
% 2.56/2.79 | hAPP(V_f,V_x) = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.56/2.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_F)) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_eq__add__iff1_0,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.56/2.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d)
% 2.56/2.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c) = V_d ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_eq__add__iff2_0,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.56/2.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d)
% 2.56/2.79 | V_c = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_eq__add__iff2_1,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.56/2.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 2.56/2.79 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool))
% 2.56/2.79 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 2.56/2.79 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 2.56/2.79 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_Compl__anti__mono_0,axiom,
% 2.56/2.79 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool))
% 2.56/2.79 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_le__imp__neg__le_0,axiom,
% 2.56/2.79 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.79 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 2.56/2.79 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_neg__le__iff__le_0,axiom,
% 2.56/2.79 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.79 | c_lessequals(V_a,V_b,T_a)
% 2.56/2.79 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_setsum__Un__Int_0,axiom,
% 2.56/2.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 2.56/2.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),V_B))
% 2.56/2.79 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 2.56/2.79 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_one__le__power_0,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.79 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 2.56/2.79 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_mult__strict__mono_0,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.79 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d)))
% 2.56/2.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.56/2.79 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.56/2.79 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d))
% 2.56/2.79 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_Un__insert__right_0,axiom,
% 2.56/2.79 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_Un__insert__left_0,axiom,
% 2.56/2.79 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_dvd__mult__cancel__left_2,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.79 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 2.56/2.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_dvd__mult__cancel__right_2,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.79 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a)
% 2.56/2.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_rtrancl__Un__subset_0,axiom,
% 2.56/2.79 c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 2.56/2.79
% 2.56/2.79 cnf(cls_divide__left__mono__neg_0,axiom,
% 2.56/2.79 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.79 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_b),T_a)
% 2.56/2.79 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)))
% 2.56/2.80 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.80 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_divide__left__mono_0,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.80 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_b),T_a)
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)))
% 2.56/2.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.56/2.80 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_eq__add__iff1_1,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.56/2.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c)) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_le__minus__self__iff_0,axiom,
% 2.56/2.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.80 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.80 | ~ c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_le__minus__self__iff_1,axiom,
% 2.56/2.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.80 | c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 2.56/2.80 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_minus__le__self__iff_0,axiom,
% 2.56/2.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.80 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.80 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_a,T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_minus__le__self__iff_1,axiom,
% 2.56/2.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.80 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_a,T_a)
% 2.56/2.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_less__eq__neg__nonpos_0,axiom,
% 2.56/2.80 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.56/2.80 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.80 | ~ c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 2.56/2.80 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.56/2.80 | c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 2.56/2.80 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_neg__less__eq__nonneg_0,axiom,
% 2.56/2.80 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.56/2.80 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.80 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_a,T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 2.56/2.80 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.56/2.80 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_a,T_a)
% 2.56/2.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_zero__le__power_0,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.80 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 2.56/2.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_subset__insertI_0,axiom,
% 2.56/2.80 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_power__minus_0,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 2.56/2.80 | c_Power_Opower__class_Opower(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_n,T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Power_Opower__class_Opower(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Oone__class_Oone(T_a)),V_n,T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_dvd__power_1,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.80 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a),T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_finite__insert_0,axiom,
% 2.56/2.80 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.56/2.80 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_finite__insert_1,axiom,
% 2.56/2.80 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)
% 2.56/2.80 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_finite_OemptyI_0,axiom,
% 2.56/2.80 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.80 | ~ class_Int_Onumber__ring(T_a)
% 2.56/2.80 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 2.56/2.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_divide__le__eq_0,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.80 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a)
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.80 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_divide__le__eq_6,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.80 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a)
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.80 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_le__divide__eq_0,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.80 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a)
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.80 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_le__divide__eq_6,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.80 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.80 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_mult__imp__div__pos__le_0,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.80 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),V_z,T_a)
% 2.56/2.80 | ~ c_lessequals(V_x,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y),T_a)
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y)) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_mult__imp__le__div__pos_0,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.80 | c_lessequals(V_z,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),T_a)
% 2.56/2.80 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y),V_x,T_a)
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y)) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_mult__less__imp__less__right_0,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.80 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_mult__less__imp__less__left_0,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.80 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_mult__right__less__imp__less_0,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 2.56/2.80 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_mult__left__less__imp__less_0,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 2.56/2.80 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_square__eq__iff_0,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.80 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_a) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_b)
% 2.56/2.80 | V_a = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)
% 2.56/2.80 | V_a = V_b ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 2.56/2.80 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.56/2.80 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_right__minus__eq_1,axiom,
% 2.56/2.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.80 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_diff__0__right_0,axiom,
% 2.56/2.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.80 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_diff__self_0,axiom,
% 2.56/2.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.80 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.80 | ~ class_Int_Onumber__ring(T_a)
% 2.56/2.80 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_dvd__diff_0,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 2.56/2.80 | c_Ring__and__Field_Odvd__class_Odvd(V_x,hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_y),V_z),T_a)
% 2.56/2.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a)
% 2.56/2.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_finite__Un_2,axiom,
% 2.56/2.80 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 2.56/2.80 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 2.56/2.80 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_finite__UnI_0,axiom,
% 2.56/2.80 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 2.56/2.80 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 2.56/2.80 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_power__commutes_0,axiom,
% 2.56/2.80 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 2.56/2.80 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),V_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_Image__Int__subset_0,axiom,
% 2.56/2.80 c_lessequals(c_Relation_OImage(V_R,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_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 2.56/2.80 ( c_Lattices_Oupper__semilattice__class_Osup(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_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 2.56/2.80 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 2.56/2.80 ( c_Lattices_Oupper__semilattice__class_Osup(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_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 2.56/2.80 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_setprod__dvd__setprod__subset_0,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Odvd(T_b)
% 2.56/2.80 | ~ class_OrderedGroup_Ocomm__monoid__mult(T_b)
% 2.56/2.80 | c_Ring__and__Field_Odvd__class_Odvd(c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b),c_Finite__Set_Osetprod(V_f,V_B,T_a,T_b),T_b)
% 2.56/2.80 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.56/2.80 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_divide__less__eq_1,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.80 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b))
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.80 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a)) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_divide__less__eq_4,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.80 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a))
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b))
% 2.56/2.80 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_divide__less__eq_5,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.80 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a))
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b))
% 2.56/2.80 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_divide__less__eq_7,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.80 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a))
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.80 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c))) ) ).
% 2.56/2.80
% 2.56/2.80 cnf(cls_less__divide__eq_1,axiom,
% 2.56/2.80 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.80 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)))
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.80 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.80 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ).
% 2.56/2.80
% 2.56/2.81 cnf(cls_less__divide__eq_4,axiom,
% 2.56/2.81 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.81 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.81 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)))
% 2.56/2.81 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.81 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)))
% 2.56/2.81 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_less__divide__eq_5,axiom,
% 2.56/2.81 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.81 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.81 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)))
% 2.56/2.81 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.81 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)))
% 2.56/2.81 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_less__divide__eq_7,axiom,
% 2.56/2.81 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.81 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.81 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)))
% 2.56/2.81 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.81 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.81 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b)) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 2.56/2.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_m),V_m) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a))),V_m) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 2.56/2.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.56/2.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.56/2.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.56/2.81 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 2.56/2.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.56/2.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.56/2.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.56/2.81 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_double__eq__0__iff_0,axiom,
% 2.56/2.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.81 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_card__insert__le_0,axiom,
% 2.56/2.81 ( 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)
% 2.56/2.81 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_diff__divide__distrib_0,axiom,
% 2.56/2.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.81 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_less__add__iff2_1,axiom,
% 2.56/2.81 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.56/2.81 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d)))
% 2.56/2.81 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d))) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_less__add__iff2_0,axiom,
% 2.56/2.81 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.56/2.81 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d)))
% 2.56/2.81 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d))) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_less__add__iff1_1,axiom,
% 2.56/2.81 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.56/2.81 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d)))
% 2.56/2.81 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c)),V_d)) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_less__add__iff1_0,axiom,
% 2.56/2.81 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.56/2.81 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c)),V_d))
% 2.56/2.81 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d))) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_setsum__Un__disjoint_0,axiom,
% 2.56/2.81 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 2.56/2.81 | 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))
% 2.56/2.81 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 2.56/2.81 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.56/2.81 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),V_B)) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_mult__eq__0__iff_0,axiom,
% 2.56/2.81 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.56/2.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.81 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.81 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_no__zero__divisors_0,axiom,
% 2.56/2.81 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.56/2.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.81 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.81 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 2.56/2.81 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.56/2.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.81 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.81 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_eq__divide__eq_4,axiom,
% 2.56/2.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.81 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.81 | c_HOL_Ozero__class_Ozero(T_a) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)),V_c) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_power__less__imp__less__base_0,axiom,
% 2.56/2.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.81 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.81 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_b,V_n,T_a))) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_wf__union__compatible_0,axiom,
% 2.56/2.81 ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 2.56/2.81 | ~ c_lessequals(c_Relation_Orel__comp(V_R,V_S,T_a,T_a,T_a),V_R,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 2.56/2.81 | ~ c_Wellfounded_Owf(V_S,T_a)
% 2.56/2.81 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_sup1E_0,axiom,
% 2.56/2.81 ( hBOOL(hAPP(V_B,V_x))
% 2.56/2.81 | hBOOL(hAPP(V_A,V_x))
% 2.56/2.81 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_sup1CI_0,axiom,
% 2.56/2.81 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 2.56/2.81 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_sup1CI_1,axiom,
% 2.56/2.81 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 2.56/2.81 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_wf__Un_0,axiom,
% 2.56/2.81 ( c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(V_r,T_a,T_a),c_Relation_ORange(V_s,T_a,T_a),tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.56/2.81 | ~ c_Wellfounded_Owf(V_s,T_a)
% 2.56/2.81 | ~ c_Wellfounded_Owf(V_r,T_a)
% 2.56/2.81 | c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 2.56/2.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.81 | V_a = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_minus__unique_0,axiom,
% 2.56/2.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.81 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_single__valued__rel__comp_0,axiom,
% 2.56/2.81 ( c_Relation_Osingle__valued(c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),T_a,T_c)
% 2.56/2.81 | ~ c_Relation_Osingle__valued(V_s,T_b,T_c)
% 2.56/2.81 | ~ c_Relation_Osingle__valued(V_r,T_a,T_b) ) ).
% 2.56/2.81
% 2.56/2.81 cnf(cls_refl__on__Un_0,axiom,
% 2.56/2.82 ( c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 2.56/2.82 | ~ c_Relation_Orefl__on(V_B,V_s,T_a)
% 2.56/2.82 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 2.56/2.82
% 2.56/2.82 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 2.56/2.82 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.82 | 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) ) ).
% 2.56/2.82
% 2.56/2.82 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 2.56/2.82 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.82 | 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) ) ).
% 2.56/2.82
% 2.56/2.82 cnf(cls_inf__left__commute_0,axiom,
% 2.56/2.82 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.82 | 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) ) ).
% 2.56/2.82
% 2.56/2.82 cnf(cls_inf__assoc_0,axiom,
% 2.56/2.82 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.82 | 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) ) ).
% 2.56/2.82
% 2.56/2.82 cnf(cls_Int__assoc_0,axiom,
% 2.56/2.82 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)) ).
% 2.56/2.82
% 2.56/2.82 cnf(cls_Int__left__commute_0,axiom,
% 2.56/2.82 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)) ).
% 2.56/2.82
% 2.56/2.82 cnf(cls_finite__UNIV__card__ge__0_0,axiom,
% 2.56/2.82 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)))
% 2.56/2.82 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.56/2.82
% 2.56/2.82 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 2.56/2.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.82 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y))),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.82
% 2.56/2.82 cnf(cls_divide__le__eq_8,axiom,
% 2.56/2.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.83 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a)
% 2.56/2.83 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.83 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a)
% 2.56/2.83 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a) ) ).
% 2.56/2.83
% 2.56/2.83 cnf(cls_le__divide__eq_8,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.84 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)
% 2.56/2.84 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.84 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a)
% 2.56/2.84 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.84 | ~ class_Int_Onumber__ring(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y))
% 2.56/2.84 | V_y = V_z
% 2.56/2.84 | V_w = V_x ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.84 | ~ class_Int_Onumber__ring(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))
% 2.56/2.84 | V_c = V_d
% 2.56/2.84 | V_a = V_b ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_finite__Un_0,axiom,
% 2.56/2.84 ( c_Finite__Set_Ofinite(V_F,T_a)
% 2.56/2.84 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_finite__Un_1,axiom,
% 2.56/2.84 ( c_Finite__Set_Ofinite(V_G,T_a)
% 2.56/2.84 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_sup__bot__right_0,axiom,
% 2.56/2.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.56/2.84 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_sup__bot__left_0,axiom,
% 2.56/2.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.56/2.84 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_Un__empty__left_0,axiom,
% 2.56/2.84 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_Un__empty__right_0,axiom,
% 2.56/2.84 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_add__nonpos__neg_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.56/2.84 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.84 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.84 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_add__neg__nonpos_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.56/2.84 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.84 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.84 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_refl__reflcl_0,axiom,
% 2.56/2.84 c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.84 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_inf__eq__top__eq2_0,axiom,
% 2.56/2.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.56/2.84 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 2.56/2.84 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_inf__eq__top__eq1_0,axiom,
% 2.56/2.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.56/2.84 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 2.56/2.84 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_dvd__0__right_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_sup__0__imp__0_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.84 | c_Lattices_Oupper__semilattice__class_Osup(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.84 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_add__frac__eq_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z))
% 2.56/2.84 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.84 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_divide__eq__eq_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.84 | V_b = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_c)
% 2.56/2.84 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_eq__divide__eq_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_c) = V_b
% 2.56/2.84 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_wfE__pf_0,axiom,
% 2.56/2.84 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.56/2.84 | ~ c_lessequals(V_A,c_Relation_OImage(V_R,V_A,T_a,T_a),tc_fun(T_a,tc_bool))
% 2.56/2.84 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_Compl__disjoint2_0,axiom,
% 2.56/2.84 c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_Compl__disjoint_0,axiom,
% 2.56/2.84 c_Lattices_Olower__semilattice__class_Oinf(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(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)) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_compl__inf__bot_0,axiom,
% 2.56/2.84 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.56/2.84 | c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_inf__compl__bot_0,axiom,
% 2.56/2.84 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.56/2.84 | c_Lattices_Olower__semilattice__class_Oinf(V_x,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__semiring_Omul__1_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_x) = V_x ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_mult__1_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_mult__1__left_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_mult__1__right_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Oone__class_Oone(T_a)) = V_a ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Oone__class_Oone(T_a)) = V_a ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_add__strict__increasing_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.56/2.84 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.56/2.84 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)))
% 2.56/2.84 | ~ c_lessequals(V_b,V_c,T_a)
% 2.56/2.84 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_dvdI_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Odvd(T_a)
% 2.56/2.84 | c_Ring__and__Field_Odvd__class_Odvd(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_k),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_dvd__triv__left_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | c_Ring__and__Field_Odvd__class_Odvd(V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_dvd__triv__right_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | c_Ring__and__Field_Odvd__class_Odvd(V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_wf__induct_1,axiom,
% 2.56/2.84 ( hBOOL(hAPP(V_P,V_a))
% 2.56/2.84 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P,V_r,T_a)))
% 2.56/2.84 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_frac__less2_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.84 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_y),V_w)))
% 2.56/2.84 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_w),V_z))
% 2.56/2.84 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_w))
% 2.56/2.84 | ~ c_lessequals(V_x,V_y,T_a)
% 2.56/2.84 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_power__one__over_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)) = c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_a),V_n,T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_of__nat__le__iff_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.84 | c_lessequals(V_m,V_n,tc_nat)
% 2.56/2.84 | ~ c_lessequals(hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_of__nat__le__iff_1,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.84 | c_lessequals(hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n),T_a)
% 2.56/2.84 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_nonzero__minus__divide__right_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.84 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b))
% 2.56/2.84 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_power__0__left_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 2.56/2.84 | ~ class_Power_Opower(T_a)
% 2.56/2.84 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.84 | ~ class_Int_Onumber__ring(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.84 | ~ class_Int_Onumber__ring(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_subset__insertI2_0,axiom,
% 2.56/2.84 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.56/2.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_insert__subset_1,axiom,
% 2.56/2.84 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.56/2.84 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 2.56/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_inf__0__imp__0_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.84 | c_Lattices_Olower__semilattice__class_Oinf(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_sup__eq__if_0,axiom,
% 2.56/2.84 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.84 | ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.84 | c_Lattices_Oupper__semilattice__class_Osup(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)
% 2.56/2.84 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_diff__add__cancel_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_singletonE_0,axiom,
% 2.56/2.84 ( V_b = V_a
% 2.56/2.84 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_add__mono_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.56/2.84 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 2.56/2.84 | ~ c_lessequals(V_c,V_d,T_a)
% 2.56/2.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_Int__Un__distrib2_0,axiom,
% 2.56/2.84 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_Int__Un__distrib_0,axiom,
% 2.56/2.84 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_inf__sup__distrib1_0,axiom,
% 2.56/2.84 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.56/2.84 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_inf__sup__distrib2_0,axiom,
% 2.56/2.84 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.56/2.84 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__semiring_Omul__c_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_x) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_double__eq__0__iff_1,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.56/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_add__sup__distrib__left_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_add__sup__distrib__right_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_c) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I4_J_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I3_J_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_c) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_add__nonneg__nonneg_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.56/2.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 2.56/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_Un__absorb_0,axiom,
% 2.56/2.84 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_sup__idem_0,axiom,
% 2.56/2.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.84 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_rel__comp__mono_0,axiom,
% 2.56/2.84 ( c_lessequals(c_Relation_Orel__comp(V_r_H,V_s_H,T_a,T_b,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool))
% 2.56/2.84 | ~ c_lessequals(V_s_H,V_s,tc_fun(tc_prod(T_b,T_c),tc_bool))
% 2.56/2.84 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_sgn__if_2,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 2.56/2.84 | c_HOL_Osgn__class_Osgn(V_x,T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Oone__class_Oone(T_a))
% 2.56/2.84 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x))
% 2.56/2.84 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_add__cancel__21_1,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 2.56/2.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_Un__Image_0,axiom,
% 2.56/2.84 c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_b,T_a),tc_bool)),V_A,T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_S,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_Image__Un_0,axiom,
% 2.56/2.84 c_Relation_OImage(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 2.56/2.84
% 2.56/2.84 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 2.56/2.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.84 | c_HOL_Ozero__class_Ozero(T_a) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)
% 2.56/2.85 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_tfl__wf__induct_1,axiom,
% 2.56/2.85 ( hBOOL(hAPP(V_P,V_Rb))
% 2.56/2.85 | ~ hBOOL(hAPP(V_P,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(V_P,V_R,T_a)))
% 2.56/2.85 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_power__eq__0__iff_1,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.56/2.85 | ~ class_Power_Opower(T_a)
% 2.56/2.85 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_add__cancel__21_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Image__subset__eq_1,axiom,
% 2.56/2.85 ( c_lessequals(c_Relation_OImage(V_r,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))
% 2.56/2.85 | ~ c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_b,tc_bool)),c_Relation_OImage(c_Relation_Oconverse(V_r,T_b,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),T_a,T_b)),tc_fun(T_b,tc_bool)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Image__subset__eq_0,axiom,
% 2.56/2.85 ( c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_b,tc_bool)),c_Relation_OImage(c_Relation_Oconverse(V_r,T_b,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),T_a,T_b)),tc_fun(T_b,tc_bool))
% 2.56/2.85 | ~ c_lessequals(c_Relation_OImage(V_r,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_insert__commute_0,axiom,
% 2.56/2.85 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) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_power__one_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 2.56/2.85 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_single__valued__Id_0,axiom,
% 2.56/2.85 c_Relation_Osingle__valued(c_Relation_OId(T_a),T_a,T_a) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_neg__0__le__iff__le_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_neg__0__le__iff__le_1,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_add__inf__distrib__left_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_add__inf__distrib__right_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_c) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_c) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_zero__le__divide__iff_3,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_zero__le__divide__iff_2,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_zero__le__divide__iff_1,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_zero__le__divide__iff_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_add__strict__increasing2_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.56/2.85 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.56/2.85 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)))
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_c))
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_power__increasing_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.85 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 2.56/2.85 | ~ c_lessequals(V_n,V_N,tc_nat) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_card__gt__0__iff_1,axiom,
% 2.56/2.85 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Finite__Set_Ocard(V_A,T_a))) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_power__mono_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.85 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_doubleton__eq__iff_4,axiom,
% 2.56/2.85 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) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_eq__eqI_1,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_xa),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x)
% 2.56/2.85 | V_xa = V_y ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_eq__eqI_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)
% 2.56/2.85 | V_x_H = V_y_H ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_diff__eq_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) = c_Lattices_Olower__semilattice__class_Oinf(V_x,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.85 | c_lessequals(V_b,V_a,T_a)
% 2.56/2.85 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 2.56/2.85 | ~ c_lessequals(V_b,V_a,T_a)
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.85 | c_lessequals(V_a,V_b,T_a)
% 2.56/2.85 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,V_b,T_a)
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__left__le__imp__le_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.85 | c_lessequals(V_a,V_b,T_a)
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.85 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__right__le__imp__le_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.85 | c_lessequals(V_a,V_b,T_a)
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.85 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_le__divide__eq_7,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.85 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_le__divide__eq_5,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a)
% 2.56/2.85 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_divide__le__eq_7,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.85 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.85 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_divide__le__eq_5,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.85 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a)
% 2.56/2.85 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Un__left__commute_0,axiom,
% 2.56/2.85 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Un__assoc_0,axiom,
% 2.56/2.85 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_sup__assoc_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.85 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__eq__0__iff_2,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__eq__0__iff_1,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__zero__right_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__zero__left_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_class__semiring_Omul__0_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_card__seteq_0,axiom,
% 2.56/2.85 ( V_A = V_B
% 2.56/2.85 | ~ c_lessequals(c_Finite__Set_Ocard(V_B,T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat)
% 2.56/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.56/2.85 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_compl__top__eq_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.56/2.85 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Compl__UNIV__eq_0,axiom,
% 2.56/2.85 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)),V_m) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a))),V_m) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a))),V_m) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_bot1E_0,axiom,
% 2.56/2.85 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_UNIV__not__empty_0,axiom,
% 2.56/2.85 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 2.56/2.85 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.56/2.85 | 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)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_inf__top__right_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.56/2.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = V_x ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_inf__top__left_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.56/2.85 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = V_x ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Int__UNIV__left_0,axiom,
% 2.56/2.85 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 ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Int__UNIV__right_0,axiom,
% 2.56/2.85 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 ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_distrib__sup__le_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.85 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_divide__le__0__1__iff_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_divide__le__0__1__iff_1,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_sup__inf__absorb_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_wf__def_1,axiom,
% 2.56/2.85 ( hBOOL(hAPP(V_P,V_xb))
% 2.56/2.85 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(V_P,V_r,T_a)))
% 2.56/2.85 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_eq__divide__imp_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.85 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.85 | V_a = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_c) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_divide__eq__imp_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.85 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_c) = V_a ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_divide__eq__eq_3,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_c) = V_a
% 2.56/2.85 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_eq__divide__eq_3,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | V_a = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_c)
% 2.56/2.85 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_le__0__eq_0,axiom,
% 2.56/2.85 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.56/2.85 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_top1I_0,axiom,
% 2.56/2.85 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_card__eq__0__iff_2,axiom,
% 2.56/2.85 ( c_Finite__Set_Ocard(V_A,T_a) = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.56/2.85 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_compl__eq__compl__iff_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.56/2.85 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y)
% 2.56/2.85 | V_x = V_y ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_neg__equal__iff__equal_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.85 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)
% 2.56/2.85 | V_a = V_b ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 2.56/2.85 ( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B)
% 2.56/2.85 | V_A = V_B ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_power__divide_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),V_n,T_a) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_b,V_n,T_a)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_power__gt1__lemma_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.85 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_Power_Opower__class_Opower(V_a,V_n,T_a))))
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_acyclic__converse_0,axiom,
% 2.56/2.85 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 2.56/2.85 | ~ c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_acyclic__converse_1,axiom,
% 2.56/2.85 ( c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 2.56/2.85 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_equalityI_0,axiom,
% 2.56/2.85 ( V_A = V_B
% 2.56/2.85 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 2.56/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_le__antisym_0,axiom,
% 2.56/2.85 ( V_m = V_n
% 2.56/2.85 | ~ c_lessequals(V_n,V_m,tc_nat)
% 2.56/2.85 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_set__eq__subset_2,axiom,
% 2.56/2.85 ( V_A = V_B
% 2.56/2.85 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 2.56/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_order__eq__iff_2,axiom,
% 2.56/2.85 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.85 | V_x = V_y
% 2.56/2.85 | ~ c_lessequals(V_y,V_x,T_a)
% 2.56/2.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_order__antisym_0,axiom,
% 2.56/2.85 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.85 | V_x = V_y
% 2.56/2.85 | ~ c_lessequals(V_y,V_x,T_a)
% 2.56/2.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_order__antisym__conv_0,axiom,
% 2.56/2.85 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.85 | V_x = V_y
% 2.56/2.85 | ~ c_lessequals(V_x,V_y,T_a)
% 2.56/2.85 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_setprod__Un__Int_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),c_Finite__Set_Osetprod(V_g,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)),c_Finite__Set_Osetprod(V_g,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),c_Finite__Set_Osetprod(V_g,V_A,T_a,T_b)),c_Finite__Set_Osetprod(V_g,V_B,T_a,T_b))
% 2.56/2.85 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 2.56/2.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_le__iff__diff__le__0_1,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.85 | c_lessequals(V_a,V_b,T_a)
% 2.56/2.85 | ~ c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_le__iff__diff__le__0_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_setprod__Un__disjoint_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b)
% 2.56/2.85 | 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))
% 2.56/2.85 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 2.56/2.85 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.56/2.85 | c_Finite__Set_Osetprod(V_g,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),c_Finite__Set_Osetprod(V_g,V_A,T_a,T_b)),c_Finite__Set_Osetprod(V_g,V_B,T_a,T_b)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_inf__sup__absorb_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_sup__absorb1_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 2.56/2.85 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_le__iff__sup_1,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 2.56/2.85 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_le__iff__sup_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 2.56/2.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Un__absorb1_0,axiom,
% 2.56/2.85 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 2.56/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Un__absorb2_0,axiom,
% 2.56/2.85 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 2.56/2.85 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_subset__Un__eq_1,axiom,
% 2.56/2.85 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 2.56/2.85 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_minus__add__cancel_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)) = V_b ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_add__cancel__end_1,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_z)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = V_y ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_dvd__trans_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.85 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 2.56/2.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 2.56/2.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_dvd__refl_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.85 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_zero__le__divide__iff_4,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_zero__le__divide__iff_5,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a)
% 2.56/2.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_frac__le_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_z),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_y),V_w),T_a)
% 2.56/2.85 | ~ c_lessequals(V_w,V_z,T_a)
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_w))
% 2.56/2.85 | ~ c_lessequals(V_x,V_y,T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_setsum__Un_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Oab__group__add(T_b)
% 2.56/2.85 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_B))),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))
% 2.56/2.85 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 2.56/2.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_doubleton__eq__iff_0,axiom,
% 2.56/2.85 ( 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)
% 2.56/2.85 | V_a = V_d
% 2.56/2.85 | V_a = V_c ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_doubleton__eq__iff_1,axiom,
% 2.56/2.85 ( 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)
% 2.56/2.85 | V_b = V_c
% 2.56/2.85 | V_a = V_c ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_doubleton__eq__iff_2,axiom,
% 2.56/2.85 ( 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)
% 2.56/2.85 | V_a = V_d
% 2.56/2.85 | V_b = V_d ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_doubleton__eq__iff_3,axiom,
% 2.56/2.85 ( 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)
% 2.56/2.85 | V_b = V_c
% 2.56/2.85 | V_b = V_d ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_dvd__mult__cancel__right_1,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.85 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_dvd__mult__cancel__left_1,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.85 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_add__le__cancel__right_1,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_add__le__cancel__right_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.56/2.85 | c_lessequals(V_a,V_b,T_a)
% 2.56/2.85 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_add__le__cancel__left_1,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_add__le__cancel__left_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.56/2.85 | c_lessequals(V_a,V_b,T_a)
% 2.56/2.85 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_add__right__mono_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_add__left__mono_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__frac__frac_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_z),V_w)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_w)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_minus__mult__right_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.56/2.85 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_minus__mult__left_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.56/2.85 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_card__insert__if_0,axiom,
% 2.56/2.85 ( c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Finite__Set_Ocard(V_A,T_a)
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.56/2.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_rtrancl__subset__rtrancl_0,axiom,
% 2.56/2.85 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 2.56/2.85 | ~ c_lessequals(V_r,c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_le__eq__neg_1,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.85 | c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a)
% 2.56/2.85 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_le__eq__neg_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_divide__strict__left__mono__neg_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.85 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_b)))
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)))
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_divide__strict__left__mono_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.85 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_b)))
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)))
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_finite__compl_0,axiom,
% 2.56/2.85 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 2.56/2.85 | ~ c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),T_a)
% 2.56/2.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_finite__compl_1,axiom,
% 2.56/2.85 ( c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),T_a)
% 2.56/2.85 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 2.56/2.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_subset__empty_0,axiom,
% 2.56/2.85 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.56/2.85 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_sgn__0__0_1,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.85 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_sgn0_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 2.56/2.85 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_subset__empty_1,axiom,
% 2.56/2.85 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)) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.85 | c_HOL_Ozero__class_Ozero(T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__left__idem_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_empty__not__insert_0,axiom,
% 2.56/2.85 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_field__power__not__zero_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 2.56/2.85 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_power__eq__0__iff_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.56/2.85 | ~ class_Power_Opower(T_a)
% 2.56/2.85 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_neg__le__0__iff__le_1,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.85 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_neg__le__0__iff__le_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.85 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__less__le__imp__less_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.85 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d)))
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.85 | ~ c_lessequals(V_c,V_d,T_a)
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__le__less__imp__less_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.85 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d)))
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d))
% 2.56/2.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_one__dvd_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.85 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Int__insert__left_0,axiom,
% 2.56/2.85 ( 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)
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Int__insert__right_0,axiom,
% 2.56/2.85 ( 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)
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_sup__left__commute_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.85 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_minus__divide__divide_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Int__absorb2_0,axiom,
% 2.56/2.85 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 2.56/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Int__absorb1_0,axiom,
% 2.56/2.85 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 2.56/2.85 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_le__iff__inf_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 2.56/2.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_le__iff__inf_1,axiom,
% 2.56/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 2.56/2.85 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_inf__absorb2_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 2.56/2.85 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Un__subset__iff_2,axiom,
% 2.56/2.85 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 2.56/2.85 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.56/2.85 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Un__upper2_0,axiom,
% 2.56/2.85 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Un__upper1_0,axiom,
% 2.56/2.85 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Un__least_0,axiom,
% 2.56/2.85 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 2.56/2.85 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.56/2.85 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_le__supI_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.85 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 2.56/2.85 | ~ c_lessequals(V_b,V_x,T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_sup__ge1_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.85 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_sup__ge2_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.85 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_sup__least_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.85 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 2.56/2.85 | ~ c_lessequals(V_z,V_x,T_a)
% 2.56/2.85 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_le__sup__iff_2,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.85 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 2.56/2.85 | ~ c_lessequals(V_y,V_z,T_a)
% 2.56/2.85 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.85 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.85 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Int__commute_0,axiom,
% 2.56/2.85 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)) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_inf__commute_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_wf__acyclic_0,axiom,
% 2.56/2.85 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 2.56/2.85 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_equiv__class__subset_0,axiom,
% 2.56/2.85 ( c_lessequals(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 2.56/2.85 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_combine__common__factor_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_distrib__inf__le_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.85 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_rtrancl__subset_0,axiom,
% 2.56/2.85 ( c_Transitive__Closure_Ortrancl(V_S,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a)
% 2.56/2.85 | ~ c_lessequals(V_S,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 2.56/2.85 | ~ c_lessequals(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_left__minus_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_right__minus_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_ab__left__minus_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),V_b) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_compl__unique_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.56/2.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 2.56/2.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 2.56/2.85 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_singleton__inject_0,axiom,
% 2.56/2.85 ( 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)
% 2.56/2.85 | V_a = V_b ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Un__Int__crazy_0,axiom,
% 2.56/2.85 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(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_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_dvd__0__left_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.85 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_power__strict__mono_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.85 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_b,V_n,T_a)))
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n))
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.85 | ~ class_Int_Onumber__ring(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.85 | V_x = V_y ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_right__minus__eq_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.85 | V_a = V_b ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.85 | V_a = V_b ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.85 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.85 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.85 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.85 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Compl__partition2_0,axiom,
% 2.56/2.85 c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Compl__partition_0,axiom,
% 2.56/2.85 c_Lattices_Oupper__semilattice__class_Osup(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_compl__sup__top_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.56/2.85 | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_sup__compl__top_0,axiom,
% 2.56/2.85 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.56/2.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_divide__eq__eq_1,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_divide__zero_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_divide__zero__left_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 2.56/2.85 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.56/2.85 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_le0_0,axiom,
% 2.56/2.85 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_add__nonneg__pos_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.56/2.85 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)))
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_add__pos__nonneg_0,axiom,
% 2.56/2.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.56/2.85 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)))
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.85 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_vimage__Compl_0,axiom,
% 2.56/2.85 c_Set_Ovimage(V_f,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_b,tc_bool)),V_A),T_a,T_b) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__le__0__iff_4,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__le__0__iff_5,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_split__mult__neg__le_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_split__mult__neg__le_1,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.56/2.85 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_insert__subset_0,axiom,
% 2.56/2.85 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 2.56/2.85 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_Sigma__Un__distrib1_0,axiom,
% 2.56/2.85 c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_insert__code_2,axiom,
% 2.56/2.85 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 2.56/2.85 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 2.56/2.85
% 2.56/2.85 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 2.56/2.85 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.85 | ~ class_Int_Onumber__ring(T_a)
% 2.56/2.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)
% 2.56/2.85 | V_y = V_z ) ).
% 2.56/2.85
% 2.56/2.86 cnf(cls_add__imp__eq_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 2.56/2.86 | V_b = V_c ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_add__left__cancel_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 2.56/2.86 | V_b = V_c ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_add__right__cancel_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)
% 2.56/2.86 | V_b = V_c ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_subset__insert__iff_2,axiom,
% 2.56/2.86 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_subset__insert__iff_1,axiom,
% 2.56/2.86 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.56/2.86 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_subset__insert_1,axiom,
% 2.56/2.86 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_subset__insert_0,axiom,
% 2.56/2.86 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_divide__self__if_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_vimage__mono_0,axiom,
% 2.56/2.86 ( 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))
% 2.56/2.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_divide__1_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),c_HOL_Oone__class_Oone(T_a)) = V_a ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Int__insert__right_1,axiom,
% 2.56/2.86 ( 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))
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Int__insert__left_1,axiom,
% 2.56/2.86 ( 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))
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__right__le__one__le_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.86 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y),V_x,T_a)
% 2.56/2.86 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.56/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__left__le__one__le_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.86 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_x),V_x,T_a)
% 2.56/2.86 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.56/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_divide__nonpos__neg_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),T_a)
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.86 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_divide__nonneg__pos_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),T_a)
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 2.56/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_dvd__power__same_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.86 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)
% 2.56/2.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Un__empty_1,axiom,
% 2.56/2.86 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.56/2.86 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Un__empty_0,axiom,
% 2.56/2.86 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.56/2.86 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.56/2.86 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 2.56/2.86 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.56/2.86 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 2.56/2.86 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_card__eq__UNIV__imp__eq__UNIV_0,axiom,
% 2.56/2.86 ( 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)
% 2.56/2.86 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 2.56/2.86 | V_A = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_rel__comp__distrib2_0,axiom,
% 2.56/2.86 c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_a,T_c),tc_bool)),V_R,T_a,T_c,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_S,V_R,T_a,T_c,T_b),c_Relation_Orel__comp(V_T,V_R,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_rel__comp__distrib_0,axiom,
% 2.56/2.86 c_Relation_Orel__comp(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_c,T_b),tc_bool)),T_a,T_c,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_S,T_a,T_c,T_b),c_Relation_Orel__comp(V_R,V_T,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Int__subset__iff_1,axiom,
% 2.56/2.86 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ 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)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Int__subset__iff_0,axiom,
% 2.56/2.86 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ 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)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__infE_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.86 | c_lessequals(V_x,V_a,T_a)
% 2.56/2.86 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__infE_1,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.86 | c_lessequals(V_x,V_b,T_a)
% 2.56/2.86 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__infI1_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.86 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 2.56/2.86 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__infI2_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.86 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 2.56/2.86 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__inf__iff_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.86 | c_lessequals(V_x,V_y,T_a)
% 2.56/2.86 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__inf__iff_1,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.86 | c_lessequals(V_x,V_z,T_a)
% 2.56/2.86 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_dvd__minus__iff_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 2.56/2.86 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 2.56/2.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_dvd__minus__iff_1,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 2.56/2.86 | c_Ring__and__Field_Odvd__class_Odvd(V_x,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y),T_a)
% 2.56/2.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_minus__dvd__iff_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 2.56/2.86 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 2.56/2.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),V_y,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_power__0_0,axiom,
% 2.56/2.86 ( ~ class_Power_Opower(T_a)
% 2.56/2.86 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_class__semiring_Opwr__0_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.86 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_total__on__empty_0,axiom,
% 2.56/2.86 c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Un__mono_0,axiom,
% 2.56/2.86 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_vimage__singleton__eq_0,axiom,
% 2.56/2.86 ( hAPP(V_f,V_a) = V_b
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_in(T_a),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))) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_converse__Un_0,axiom,
% 2.56/2.86 c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(V_r,T_b,T_a),c_Relation_Oconverse(V_s,T_b,T_a),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_power__0__left_1,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 2.56/2.86 | ~ class_Power_Opower(T_a)
% 2.56/2.86 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.86 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_power__eq__0__iff_2,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.56/2.86 | ~ class_Power_Opower(T_a)
% 2.56/2.86 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.86 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.86 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.86 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_inf__greatest_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.86 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(V_x,V_z,T_a)
% 2.56/2.86 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__inf__iff_2,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.86 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(V_x,V_z,T_a)
% 2.56/2.86 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__infI_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.86 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(V_x,V_b,T_a)
% 2.56/2.86 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_inf__le2_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.86 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_inf__le1_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.86 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Int__lower1_0,axiom,
% 2.56/2.86 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)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Int__lower2_0,axiom,
% 2.56/2.86 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)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Int__greatest_0,axiom,
% 2.56/2.86 ( 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))
% 2.56/2.86 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Int__subset__iff_2,axiom,
% 2.56/2.86 ( 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))
% 2.56/2.86 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_subset__UNIV_0,axiom,
% 2.56/2.86 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_top__greatest_0,axiom,
% 2.56/2.86 ( ~ class_Orderings_Otop(T_a)
% 2.56/2.86 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_sgn__1__neg_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.86 | c_HOL_Osgn__class_Osgn(V_a,T_a) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Oone__class_Oone(T_a))
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_sgn__neg_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.86 | c_HOL_Osgn__class_Osgn(V_a,T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Oone__class_Oone(T_a))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_minus__mult__commute_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_dvd__power__le_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.86 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_m,T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(V_n,V_m,tc_nat)
% 2.56/2.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__le__0__iff_3,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.86 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__le__0__iff_2,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.86 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.86 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__le__0__iff_1,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.86 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__le__0__iff_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.86 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.86 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_neg__equal__zero_1,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.56/2.86 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_add__minus__cancel_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b)) = V_b ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_minus__zero_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.86 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_sup__inf__distrib2_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.56/2.86 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_sup__inf__distrib1_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.56/2.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Un__Int__distrib_0,axiom,
% 2.56/2.86 c_Lattices_Oupper__semilattice__class_Osup(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(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Un__Int__distrib2_0,axiom,
% 2.56/2.86 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_insert__code_1,axiom,
% 2.56/2.86 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_insert__subset_2,axiom,
% 2.56/2.86 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_dvd__mult__right_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.86 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 2.56/2.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),V_c,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_dvd__mult__left_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.86 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 2.56/2.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),V_c,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_dvd__mult2_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.86 | c_Ring__and__Field_Odvd__class_Odvd(V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a)
% 2.56/2.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_dvd__mult_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.86 | c_Ring__and__Field_Odvd__class_Odvd(V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a)
% 2.56/2.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_compl__bot__eq_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.56/2.86 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Compl__empty__eq_0,axiom,
% 2.56/2.86 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.86 | 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) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_inf__left__idem_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.86 | 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) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Int__left__absorb_0,axiom,
% 2.56/2.86 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)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.86 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.86 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Image__Int__eq_0,axiom,
% 2.56/2.86 ( c_Relation_OImage(V_R,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_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ c_Relation_Osingle__valued(c_Relation_Oconverse(V_R,T_b,T_a),T_a,T_b) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_nonzero__power__divide_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.86 | c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),V_n,T_a) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_b,V_n,T_a))
% 2.56/2.86 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_power__less__power__Suc_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_Power_Opower__class_Opower(V_a,V_n,T_a))))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__dvd__mono_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.86 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a)
% 2.56/2.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a)
% 2.56/2.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__right__mono__neg_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.56/2.86 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a)
% 2.56/2.86 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__left__mono__neg_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.56/2.86 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 2.56/2.86 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__right__mono_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 2.56/2.86 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a)
% 2.56/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.56/2.86 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__left__mono_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 2.56/2.86 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 2.56/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.56/2.86 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__mono1_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 2.56/2.86 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 2.56/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.56/2.86 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_sup__eq__if_1,axiom,
% 2.56/2.86 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.86 | ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.86 | c_Lattices_Oupper__semilattice__class_Osup(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) = V_a
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.86 | ~ class_Int_Onumber__ring(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_c)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_d))
% 2.56/2.86 | V_c = V_d
% 2.56/2.86 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_finite__UNIV_0,axiom,
% 2.56/2.86 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 2.56/2.86 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.86 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.86 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Range__Un__eq_0,axiom,
% 2.56/2.86 c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__0__eq_1,axiom,
% 2.56/2.86 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_divide__le__eq_1,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a)
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.86 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_divide__le__eq_4,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a)
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.86 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__divide__eq_1,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a)
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.86 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__divide__eq_4,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.86 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_inf__idem_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.86 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Int__absorb_0,axiom,
% 2.56/2.86 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__imp__less__div__pos_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y)),V_x))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__imp__div__pos__less_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y)))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_divide__less__eq_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_divide__less__eq_6,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c))) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_less__divide__eq_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_less__divide__eq_6,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__sup__iff_1,axiom,
% 2.56/2.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.86 | c_lessequals(V_y,V_z,T_a)
% 2.56/2.86 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__sup__iff_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.86 | c_lessequals(V_x,V_z,T_a)
% 2.56/2.86 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__supI2_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.86 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__supI1_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.86 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__supE_1,axiom,
% 2.56/2.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.86 | c_lessequals(V_b,V_x,T_a)
% 2.56/2.86 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__supE_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.86 | c_lessequals(V_a,V_x,T_a)
% 2.56/2.86 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Un__subset__iff_0,axiom,
% 2.56/2.86 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Un__subset__iff_1,axiom,
% 2.56/2.86 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_dvd__power_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.86 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_xt1_I6_J_0,axiom,
% 2.56/2.86 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.86 | c_lessequals(V_z,V_x,T_a)
% 2.56/2.86 | ~ c_lessequals(V_z,V_y,T_a)
% 2.56/2.86 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_add__nonpos__nonpos_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.56/2.86 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_power__le__dvd_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.86 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_m,T_a),V_b,T_a)
% 2.56/2.86 | ~ c_lessequals(V_m,V_n,tc_nat)
% 2.56/2.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_b,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_order__trans_0,axiom,
% 2.56/2.86 ( ~ class_Orderings_Opreorder(T_a)
% 2.56/2.86 | c_lessequals(V_x,V_z,T_a)
% 2.56/2.86 | ~ c_lessequals(V_y,V_z,T_a)
% 2.56/2.86 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__refl_0,axiom,
% 2.56/2.86 c_lessequals(V_n,V_n,tc_nat) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_le__trans_0,axiom,
% 2.56/2.86 ( c_lessequals(V_i,V_k,tc_nat)
% 2.56/2.86 | ~ c_lessequals(V_j,V_k,tc_nat)
% 2.56/2.86 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_eq__imp__le_0,axiom,
% 2.56/2.86 c_lessequals(V_x,V_x,tc_nat) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_equalityE_0,axiom,
% 2.56/2.86 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_subset__refl_0,axiom,
% 2.56/2.86 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_subset__trans_0,axiom,
% 2.56/2.86 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_predicate1D_0,axiom,
% 2.56/2.86 ( hBOOL(hAPP(V_Q,V_x))
% 2.56/2.86 | ~ hBOOL(hAPP(V_P,V_x))
% 2.56/2.86 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_wf__subset_0,axiom,
% 2.56/2.86 ( c_Wellfounded_Owf(V_p,T_a)
% 2.56/2.86 | ~ c_lessequals(V_p,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 2.56/2.86 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_order__eq__iff_0,axiom,
% 2.56/2.86 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.86 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_order__eq__refl_0,axiom,
% 2.56/2.86 ( ~ class_Orderings_Opreorder(T_a)
% 2.56/2.86 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_minus__dvd__iff_1,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 2.56/2.86 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),V_y,T_a)
% 2.56/2.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_nonzero__minus__divide__divide_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)
% 2.56/2.86 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_class__ring_Osub__add_0,axiom,
% 2.56/2.86 ( ~ class_Int_Onumber__ring(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_diff__def_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_diff__minus_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_ab__diff__minus_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y))))
% 2.56/2.86 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y))))
% 2.56/2.86 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_add__num__frac_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_z),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y))),V_y)
% 2.56/2.86 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_add__frac__num_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y))),V_y)
% 2.56/2.86 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_inf__eq__neg__sup_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.86 | c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Un__commute_0,axiom,
% 2.56/2.86 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_sup__commute_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Compl__Int_0,axiom,
% 2.56/2.86 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_compl__inf_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.56/2.86 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_neg__inf__eq__sup_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.86 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_less__half__sum_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a)))))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_gt__half__sum_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a)))),V_b))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_group__add__class_Odiff__0_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_sgn__0__0_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.86 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_power__eq__imp__eq__base_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.86 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a)
% 2.56/2.86 | V_a = V_b
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n))
% 2.56/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Domain__Un__eq_0,axiom,
% 2.56/2.86 c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_add__cancel__end_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != V_y
% 2.56/2.86 | V_x = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_z) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__divide__mult__cancel__left_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)
% 2.56/2.86 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__divide__mult__cancel__right_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)
% 2.56/2.86 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_insert__is__Un_0,axiom,
% 2.56/2.86 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_dvd__add_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.86 | c_Ring__and__Field_Odvd__class_Odvd(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 2.56/2.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 2.56/2.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_acc__subset_0,axiom,
% 2.56/2.86 ( c_lessequals(c_Wellfounded_Oacc(V_R2,T_a),c_Wellfounded_Oacc(V_R1,T_a),tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ c_lessequals(V_R1,V_R2,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Un__left__absorb_0,axiom,
% 2.56/2.86 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_sup__left__idem_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Olattice(T_a)
% 2.56/2.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Compl__Un_0,axiom,
% 2.56/2.86 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_compl__sup_0,axiom,
% 2.56/2.86 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.56/2.86 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_neg__sup__eq__inf_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.86 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_card__mono_0,axiom,
% 2.56/2.86 ( c_lessequals(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_a),tc_nat)
% 2.56/2.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.56/2.86 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__frac__num_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),V_y) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_vimage__Un_0,axiom,
% 2.56/2.86 c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(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)) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_power__Suc__less_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_Power_Opower__class_Opower(V_a,V_n,T_a))),c_Power_Opower__class_Opower(V_a,V_n,T_a)))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oone__class_Oone(T_a)))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_card__gt__0__iff_0,axiom,
% 2.56/2.86 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_wf__induct__rule_1,axiom,
% 2.56/2.86 ( hBOOL(hAPP(V_P,V_a))
% 2.56/2.86 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(V_P,V_r,T_a)))
% 2.56/2.86 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_rtrancl__Un__rtrancl_0,axiom,
% 2.56/2.86 c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_less__divide__eq_9,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_less__divide__eq_8,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_divide__less__eq_9,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c))) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_divide__less__eq_8,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.86 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b))
% 2.56/2.86 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c))) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_card__empty_0,axiom,
% 2.56/2.86 c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_sgn__sgn_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.86 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) = c_HOL_Osgn__class_Osgn(V_a,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_card__gt__0__iff_2,axiom,
% 2.56/2.86 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Finite__Set_Ocard(V_A,T_a)))
% 2.56/2.86 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.56/2.86 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__mono_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 2.56/2.86 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a)
% 2.56/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.56/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.86 | ~ c_lessequals(V_c,V_d,T_a)
% 2.56/2.86 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_mult__mono_H_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 2.56/2.86 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a)
% 2.56/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.56/2.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.86 | ~ c_lessequals(V_c,V_d,T_a)
% 2.56/2.86 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_square__eq__iff_1,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_b) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_minus__mult__minus_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_diff__minus__eq__add_0,axiom,
% 2.56/2.86 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_inf1E_1,axiom,
% 2.56/2.86 ( hBOOL(hAPP(V_B,V_x))
% 2.56/2.86 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_inf1E_0,axiom,
% 2.56/2.86 ( hBOOL(hAPP(V_A,V_x))
% 2.56/2.86 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_diff__frac__eq_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z))
% 2.56/2.86 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.86 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 2.56/2.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.86 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_m) ) ).
% 2.56/2.86
% 2.56/2.86 cnf(cls_Range__insert_0,axiom,
% 2.56/2.87 c_Relation_ORange(c_Set_Oinsert(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)),T_b,T_a) = c_Set_Oinsert(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_disjoint__eq__subset__Compl_1,axiom,
% 2.56/2.87 ( 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))
% 2.56/2.87 | ~ c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_disjoint__eq__subset__Compl_0,axiom,
% 2.56/2.87 ( 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))
% 2.56/2.87 | c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_dvd__mult__cancel__left_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.87 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 2.56/2.87 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_dvd__mult__cancel__right_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.87 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 2.56/2.87 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.56/2.87 | ~ class_Int_Onumber__ring(T_a)
% 2.56/2.87 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_add__0__left_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))))) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_le__divide__eq_9,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.87 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)
% 2.56/2.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.87 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a)
% 2.56/2.87 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_le__divide__eq_3,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.87 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)
% 2.56/2.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_le__divide__eq_2,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.87 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.87 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_divide__le__eq_9,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.87 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a)
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.87 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a)
% 2.56/2.87 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_divide__le__eq_3,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.87 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a)
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_divide__le__eq_2,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.87 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_neg__equal__zero_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.56/2.87 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) != V_a
% 2.56/2.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_zero__le__mult__iff_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_zero__le__mult__iff_1,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_zero__le__mult__iff_2,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_zero__le__mult__iff_3,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_add__diff__cancel_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_cuts__eq_2,axiom,
% 2.56/2.87 ( hAPP(V_f,c_List_Osko__Recdef__Xcuts__eq__1__1(V_f,V_g,V_r,V_x,T_a,T_b)) != hAPP(V_g,c_List_Osko__Recdef__Xcuts__eq__1__1(V_f,V_g,V_r,V_x,T_a,T_b))
% 2.56/2.87 | c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) = c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_power__le__imp__le__exp_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.87 | c_lessequals(V_m,V_n,tc_nat)
% 2.56/2.87 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_power__increasing__iff_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.87 | c_lessequals(V_x,V_y,tc_nat)
% 2.56/2.87 | ~ c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_power__increasing__iff_1,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.87 | c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 2.56/2.87 | ~ c_lessequals(V_x,V_y,tc_nat)
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_single__valued__Id__on_0,axiom,
% 2.56/2.87 c_Relation_Osingle__valued(c_Relation_OId__on(V_A,T_a),T_a,T_a) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_minus__divide__right_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.87 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_minus__divide__left_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.87 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_add__divide__distrib_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_double__complement_0,axiom,
% 2.56/2.87 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A)) = V_A ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_minus__minus_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.87 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_double__compl_0,axiom,
% 2.56/2.87 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.56/2.87 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_equation__minus__iff_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.87 | V_b = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_equation__minus__iff_1,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.87 | V_a = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_minus__equation__iff_1,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.87 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = V_b ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_acyclic__insert_0,axiom,
% 2.56/2.87 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 2.56/2.87 | ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_antisym__subset_0,axiom,
% 2.56/2.87 ( c_Relation_Oantisym(V_r,T_a)
% 2.56/2.87 | ~ c_Relation_Oantisym(V_s,T_a)
% 2.56/2.87 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_finite__subset_0,axiom,
% 2.56/2.87 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.56/2.87 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 2.56/2.87 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_rev__predicate1D_0,axiom,
% 2.56/2.87 ( hBOOL(hAPP(V_Q,V_x))
% 2.56/2.87 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 2.56/2.87 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_acyclic__subset_0,axiom,
% 2.56/2.87 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 2.56/2.87 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 2.56/2.87 | ~ c_Wellfounded_Oacyclic(V_s,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_rev__finite__subset_0,axiom,
% 2.56/2.87 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.56/2.87 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.56/2.87 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_single__valued__subset_0,axiom,
% 2.56/2.87 ( c_Relation_Osingle__valued(V_r,T_a,T_b)
% 2.56/2.87 | ~ c_Relation_Osingle__valued(V_s,T_a,T_b)
% 2.56/2.87 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_le__add__right__mono_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.87 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 2.56/2.87 | ~ c_lessequals(V_c,V_d,T_a)
% 2.56/2.87 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_card__eq__0__iff_0,axiom,
% 2.56/2.87 ( c_Finite__Set_Ocard(V_A,T_a) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.56/2.87 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.56/2.87 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_Int__mono_0,axiom,
% 2.56/2.87 ( 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))
% 2.56/2.87 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 2.56/2.87 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_divide__nonneg__neg_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.87 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_divide__nonpos__pos_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.87 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 2.56/2.87 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__idem_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_singleton__iff_1,axiom,
% 2.56/2.87 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__strict__mono_H_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d)))
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_subset__Compl__self__eq_0,axiom,
% 2.56/2.87 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.56/2.87 | ~ c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_Domain__mono_0,axiom,
% 2.56/2.87 ( c_lessequals(c_Relation_ODomain(V_r,T_a,T_b),c_Relation_ODomain(V_s,T_a,T_b),tc_fun(T_a,tc_bool))
% 2.56/2.87 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_subset__singletonD_0,axiom,
% 2.56/2.87 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 2.56/2.87 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.56/2.87 | ~ 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)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_vimage__insert_0,axiom,
% 2.56/2.87 c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_eq__divide__eq_2,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.87 | c_HOL_Ozero__class_Ozero(T_a) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_inf1I_0,axiom,
% 2.56/2.87 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 2.56/2.87 | ~ hBOOL(hAPP(V_B,V_x))
% 2.56/2.87 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_sup__eq__neg__inf_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.87 | c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_le__eqI_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)
% 2.56/2.87 | c_lessequals(V_y_H,V_x_H,T_a)
% 2.56/2.87 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_le__eqI_1,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)
% 2.56/2.87 | c_lessequals(V_y,V_x,T_a)
% 2.56/2.87 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_power__mult__distrib_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 2.56/2.87 | c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),V_n,T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_b,V_n,T_a)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_class__semiring_Opwr__mul_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.87 | c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y),V_q,T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Power_Opower__class_Opower(V_x,V_q,T_a)),c_Power_Opower__class_Opower(V_y,V_q,T_a)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_insert__mono_0,axiom,
% 2.56/2.87 ( 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))
% 2.56/2.87 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_Un__empty_2,axiom,
% 2.56/2.87 c_Lattices_Oupper__semilattice__class_Osup(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)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_inf__period_I4_J_1,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Odvd(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 2.56/2.87 | c_Ring__and__Field_Odvd__class_Odvd(V_d,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_t),T_a)
% 2.56/2.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_k),V_D))),V_t),T_a)
% 2.56/2.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_inf__period_I4_J_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Odvd(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 2.56/2.87 | c_Ring__and__Field_Odvd__class_Odvd(V_d,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_k),V_D))),V_t),T_a)
% 2.56/2.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_t),T_a)
% 2.56/2.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_frac__eq__eq_1,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y)
% 2.56/2.87 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.87 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_w),V_z) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_frac__eq__eq_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_w),V_z)
% 2.56/2.87 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.87 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_divide__right__mono__neg_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.87 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c),T_a)
% 2.56/2.87 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.87 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_divide__right__mono_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.87 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.56/2.87 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_sgn__times_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.87 | c_HOL_Osgn__class_Osgn(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a)),c_HOL_Osgn__class_Osgn(V_b,T_a)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.56/2.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_zero__le__mult__iff_5,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)
% 2.56/2.87 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_zero__le__mult__iff_4,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_zero__le__square_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_a),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.56/2.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)
% 2.56/2.87 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_split__mult__pos__le_1,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.56/2.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)
% 2.56/2.87 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.56/2.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_split__mult__pos__le_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.56/2.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_vimage__empty_0,axiom,
% 2.56/2.87 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)) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_class__ring_Oneg__mul_0,axiom,
% 2.56/2.87 ( ~ class_Int_Onumber__ring(T_a)
% 2.56/2.87 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Oone__class_Oone(T_a))),V_x) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_Image__mono_0,axiom,
% 2.56/2.87 ( c_lessequals(c_Relation_OImage(V_r_H,V_A_H,T_a,T_b),c_Relation_OImage(V_r,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.56/2.87 | ~ c_lessequals(V_A_H,V_A,tc_fun(T_a,tc_bool))
% 2.56/2.87 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_divide__eq__eq_4,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)),V_c) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_class__semiring_Omul__a_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),V_z) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_class__semiring_Omul__d_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.56/2.87 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_minus__add__distrib_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.56/2.87 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_minus__add_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.56/2.87 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_frac__less_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_y),V_w)))
% 2.56/2.87 | ~ c_lessequals(V_w,V_z,T_a)
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_w))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.56/2.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_nat__le__linear_0,axiom,
% 2.56/2.87 ( c_lessequals(V_n,V_m,tc_nat)
% 2.56/2.87 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_linorder__linear_0,axiom,
% 2.56/2.87 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.87 | c_lessequals(V_y,V_x,T_a)
% 2.56/2.87 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_setprod__pos__nat__iff_0,axiom,
% 2.56/2.87 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(V_f,V_x)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Finite__Set_Osetprod(V_f,V_S,T_a,tc_nat)))
% 2.56/2.87 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_one__less__power_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_setsum__insert_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 2.56/2.87 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),c_Set_Oinsert(V_a,V_F,T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(V_f,V_a)),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_F))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_F))
% 2.56/2.87 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_setprod__insert_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b)
% 2.56/2.87 | c_Finite__Set_Osetprod(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),hAPP(V_f,V_a)),c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 2.56/2.87 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_acyclic__insert_2,axiom,
% 2.56/2.87 ( c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.87 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_acyclic__insert_1,axiom,
% 2.56/2.87 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.87 | ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_converse__rtrancl__induct_0,axiom,
% 2.56/2.87 ( hBOOL(hAPP(V_P,V_a))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(V_P,V_b,V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(V_P,V_b,V_r,T_a),T_a,T_a)),V_r))
% 2.56/2.87 | ~ hBOOL(hAPP(V_P,V_b))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_rtrancl__induct_1,axiom,
% 2.56/2.87 ( hBOOL(hAPP(V_P,V_b))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P,V_a,V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(V_P,V_a,V_r,T_a),T_a,T_a)),V_r))
% 2.56/2.87 | ~ hBOOL(hAPP(V_P,V_a))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_equiv__class__self_0,axiom,
% 2.56/2.87 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 2.56/2.87 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_equiv__class__nondisjoint_0,axiom,
% 2.56/2.87 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))))
% 2.56/2.87 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_subset__equiv__class_0,axiom,
% 2.56/2.87 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),V_A))
% 2.56/2.87 | ~ c_lessequals(c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))
% 2.56/2.87 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 2.56/2.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a))) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_divide__less__eq_2,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_divide__less__eq_3,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_less__divide__eq_2,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_less__divide__eq_3,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__strict__right__mono_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__strict__left__mono_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b)))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) ) ).
% 2.56/2.87
% 2.56/2.87 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 2.56/2.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_divide__neg__neg_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_divide__pos__pos_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_zero__less__divide__iff_4,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_zero__less__divide__iff_5,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_divide__less__0__iff_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_divide__less__0__iff_1,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_divide__less__0__iff_2,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_divide__less__0__iff_3,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_minus__diff__eq_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.56/2.88 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_add__le__less__mono_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d))
% 2.56/2.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_add__less__le__mono_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)))
% 2.56/2.88 | ~ c_lessequals(V_c,V_d,T_a)
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_vimage__Int_0,axiom,
% 2.56/2.88 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)) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_finite__Int_1,axiom,
% 2.56/2.88 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 2.56/2.88 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_finite__Int_0,axiom,
% 2.56/2.88 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 2.56/2.88 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_le__funD_0,axiom,
% 2.56/2.88 ( ~ class_HOL_Oord(T_b)
% 2.56/2.88 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 2.56/2.88 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_le__minus__iff_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | c_lessequals(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 2.56/2.88 | ~ c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_le__minus__iff_1,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a)
% 2.56/2.88 | ~ c_lessequals(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_minus__le__iff_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a)
% 2.56/2.88 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_minus__le__iff_1,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a)
% 2.56/2.88 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_Int__iff_2,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_IntI_0,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_insert__iff_2,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_insertCI_0,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_subset__iff_0,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_B))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_A))
% 2.56/2.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_set__rev__mp_0,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 2.56/2.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_subsetD_0,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 2.56/2.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_set__mp_0,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.56/2.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_UnCI_1,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_UnCI_0,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_ex__in__conv_0,axiom,
% 2.56/2.88 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_ball__empty_0,axiom,
% 2.56/2.88 ( hBOOL(hAPP(V_P,V_x))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_empty__iff_0,axiom,
% 2.56/2.88 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_emptyE_0,axiom,
% 2.56/2.88 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_insertE_0,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 2.56/2.88 | V_a = V_b
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_UnE_0,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_UNIV__I_0,axiom,
% 2.56/2.88 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_ComplI_0,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A)))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_ComplD_0,axiom,
% 2.56/2.88 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_insert__iff_1,axiom,
% 2.56/2.88 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_insertI1_0,axiom,
% 2.56/2.88 hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_insertCI_1,axiom,
% 2.56/2.88 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_IntE_1,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_IntE_0,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_bex__empty_0,axiom,
% 2.56/2.88 ( ~ hBOOL(hAPP(V_P,V_x))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_insert__ident_0,axiom,
% 2.56/2.88 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.56/2.88 | V_A = V_B ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_insert__absorb_0,axiom,
% 2.56/2.88 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_linorder__antisym__conv2_0,axiom,
% 2.56/2.88 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.88 | V_x = V_y
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.56/2.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_linorder__antisym__conv1_0,axiom,
% 2.56/2.88 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.88 | V_x = V_y
% 2.56/2.88 | ~ c_lessequals(V_x,V_y,T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_order__neq__le__trans_0,axiom,
% 2.56/2.88 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.88 | ~ c_lessequals(V_a,V_b,T_a)
% 2.56/2.88 | V_a = V_b ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_order__le__neq__trans_0,axiom,
% 2.56/2.88 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.88 | V_a = V_b
% 2.56/2.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_order__less__le_2,axiom,
% 2.56/2.88 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.56/2.88 | V_x = V_y
% 2.56/2.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_order__le__less_0,axiom,
% 2.56/2.88 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.88 | V_x = V_y
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.56/2.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_xt1_I12_J_0,axiom,
% 2.56/2.88 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 2.56/2.88 | ~ c_lessequals(V_b,V_a,T_a)
% 2.56/2.88 | V_a = V_b ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_xt1_I11_J_0,axiom,
% 2.56/2.88 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 2.56/2.88 | V_a = V_b
% 2.56/2.88 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_less__eqI_1,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x_H),V_y_H)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_less__eqI_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x_H),V_y_H))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_order__less__le__trans_0,axiom,
% 2.56/2.88 ( ~ class_Orderings_Opreorder(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))
% 2.56/2.88 | ~ c_lessequals(V_y,V_z,T_a)
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_order__le__less__trans_0,axiom,
% 2.56/2.88 ( ~ class_Orderings_Opreorder(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))
% 2.56/2.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_xt1_I8_J_0,axiom,
% 2.56/2.88 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))
% 2.56/2.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_xt1_I7_J_0,axiom,
% 2.56/2.88 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))
% 2.56/2.88 | ~ c_lessequals(V_z,V_y,T_a)
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_add__less__cancel__left_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_add__less__cancel__left_1,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_add__strict__left__mono_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_add__less__cancel__right_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_add__less__cancel__right_1,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_add__strict__right__mono_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_order__less__imp__le_0,axiom,
% 2.56/2.88 ( ~ class_Orderings_Opreorder(T_a)
% 2.56/2.88 | c_lessequals(V_x,V_y,T_a)
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_order__le__less_1,axiom,
% 2.56/2.88 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.88 | c_lessequals(V_x,V_y,T_a)
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_less__infI1_0,axiom,
% 2.56/2.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_x))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_x)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_less__infI2_0,axiom,
% 2.56/2.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_x))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_x)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_add__strict__mono_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_less__le__not__le_2,axiom,
% 2.56/2.88 ( ~ class_Orderings_Opreorder(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.56/2.88 | c_lessequals(V_y,V_x,T_a)
% 2.56/2.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_neg__less__iff__less_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_neg__less__iff__less_1,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_not__leE_0,axiom,
% 2.56/2.88 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.56/2.88 | c_lessequals(V_y,V_x,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_linorder__antisym__conv2_1,axiom,
% 2.56/2.88 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.88 | ~ c_lessequals(V_x,V_x,T_a)
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_linorder__antisym__conv1_1,axiom,
% 2.56/2.88 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x))
% 2.56/2.88 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_linorder__not__less_1,axiom,
% 2.56/2.88 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.56/2.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_linorder__not__less_0,axiom,
% 2.56/2.88 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.88 | c_lessequals(V_y,V_x,T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_linorder__not__le_1,axiom,
% 2.56/2.88 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.88 | ~ c_lessequals(V_x,V_y,T_a)
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_linorder__not__le_0,axiom,
% 2.56/2.88 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 2.56/2.88 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_less__le__not__le_1,axiom,
% 2.56/2.88 ( ~ class_Orderings_Opreorder(T_a)
% 2.56/2.88 | ~ c_lessequals(V_y,V_x,T_a)
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_less__supI1_0,axiom,
% 2.56/2.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_a)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_less__supI2_0,axiom,
% 2.56/2.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_b)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_less__minus__iff_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_less__minus__iff_1,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_minus__less__iff_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),V_a))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_minus__less__iff_1,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),V_a)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_le__neq__implies__less_0,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.56/2.88 | V_m = V_n
% 2.56/2.88 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_le__eq__less__or__eq_0,axiom,
% 2.56/2.88 ( V_m = V_n
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.56/2.88 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_nat__less__le_2,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.56/2.88 | V_m = V_n
% 2.56/2.88 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_neq0__conv_1,axiom,
% 2.56/2.88 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_gr0I_0,axiom,
% 2.56/2.88 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n))
% 2.56/2.88 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_nat__less__le_0,axiom,
% 2.56/2.88 ( c_lessequals(V_m,V_n,tc_nat)
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 2.56/2.88 ( c_lessequals(V_x,V_y,tc_nat)
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_gr__implies__not0_0,axiom,
% 2.56/2.88 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_not__less0_0,axiom,
% 2.56/2.88 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_eq__equiv__class_0,axiom,
% 2.56/2.88 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),V_A))
% 2.56/2.88 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_equiv__class__eq__iff_3,axiom,
% 2.56/2.88 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 2.56/2.88 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_eq__equiv__class__iff_1,axiom,
% 2.56/2.88 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.56/2.88 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_eq__equiv__class__iff_0,axiom,
% 2.56/2.88 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.56/2.88 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_setsum__cases_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 2.56/2.88 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_f,T_a,T_b,tc_fun(T_b,T_b)),V_g,T_a,T_b,T_b)),V_A) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),c_Lattices_Olower__semilattice__class_Oinf(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool))))
% 2.56/2.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_sgn__pos_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.88 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_sgn__1__pos_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.88 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Oone__class_Oone(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_zero__less__divide__1__iff_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_zero__less__divide__1__iff_1,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_sgn__less_1,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_sgn__less_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_divide__strict__right__mono__neg_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_divide__strict__right__mono_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_not__square__less__zero_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_add__neg__neg_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_neg__less__0__iff__less_1,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_neg__less__0__iff__less_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_sgn__greater_1,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Osgn__class_Osgn(V_a,T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_sgn__greater_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Osgn__class_Osgn(V_a,T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_even__less__0__iff_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_even__less__0__iff_1,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_zero__less__mult__pos2_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_zero__less__mult__pos_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_mult__pos__pos_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_mult__neg__neg_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_zero__less__power_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_add__pos__pos_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_less__iff__diff__less__0_1,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_less__iff__diff__less__0_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_mult__pos__neg2_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_mult__pos__neg_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_mult__neg__pos_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_pos__add__strict_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_c))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_divide__neg__pos_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_divide__pos__neg_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_divide__less__0__iff_4,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_divide__less__0__iff_5,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_zero__less__divide__iff_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_zero__less__divide__iff_1,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_zero__less__divide__iff_2,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_zero__less__divide__iff_3,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_neg__0__less__iff__less_1,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_neg__0__less__iff__less_0,axiom,
% 2.56/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) ) ).
% 2.56/2.88
% 2.56/2.88 cnf(cls_less__minus__self__iff_0,axiom,
% 2.56/2.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_less__minus__self__iff_1,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_right__inverse__eq_1,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.89 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.89 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_x) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_divide__self_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.89 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_a) = c_HOL_Oone__class_Oone(T_a)
% 2.56/2.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_divide__self__if_1,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.89 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_a) = c_HOL_Oone__class_Oone(T_a)
% 2.56/2.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_zero__le__one_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_not__one__le__zero_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.89 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_right__inverse__eq_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.89 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b) != c_HOL_Oone__class_Oone(T_a)
% 2.56/2.89 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.89 | V_a = V_b ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_less__1__mult_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_m),V_n)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_n))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_m)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_less__add__one_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a)))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_power__inject__exp_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.89 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a))
% 2.56/2.89 | V_m = V_n ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_single__valuedD_0,axiom,
% 2.56/2.89 ( V_y = V_z
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_x,V_z,T_a,T_b)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_x,V_y,T_a,T_b)),V_r))
% 2.56/2.89 | ~ c_Relation_Osingle__valued(V_r,T_a,T_b) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_congruent2_Ocongruent2_0,axiom,
% 2.56/2.89 ( hAPP(hAPP(V_f,V_y1),V_y2) = hAPP(hAPP(V_f,V_z1),V_z2)
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_b)),c_Pair(V_y2,V_z2,T_b,T_b)),V_r2))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y1,V_z1,T_a,T_a)),V_r1))
% 2.56/2.89 | ~ c_Equiv__Relations_Ocongruent2(V_r1,V_r2,V_f,T_a,T_b,T_c) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setsum__0_H_1,axiom,
% 2.56/2.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 2.56/2.89 | hAPP(V_f,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1(V_A,V_f,T_a,T_b)) != c_HOL_Ozero__class_Ozero(T_b)
% 2.56/2.89 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_A) = c_HOL_Ozero__class_Ozero(T_b) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setsum__empty_0,axiom,
% 2.56/2.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.56/2.89 | hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setsum__negf_0,axiom,
% 2.56/2.89 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.56/2.89 | hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_f,T_a,T_a,T_b)),V_A) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setsum__right__distrib_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 2.56/2.89 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)) = hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_f,T_a,T_a,T_b)),V_A) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_zero__le__imp__of__nat_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m),T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_of__nat__0__le__iff_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n),T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_of__nat__0_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 2.56/2.89 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_pred__subset__eq_0,axiom,
% 2.56/2.89 ( c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool))
% 2.56/2.89 | ~ c_lessequals(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S),tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_pred__subset__eq_1,axiom,
% 2.56/2.89 ( c_lessequals(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S),tc_fun(T_a,tc_bool))
% 2.56/2.89 | ~ c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Image__singleton__iff_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Image__singleton__iff_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_wf__eq__minimal_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q,V_r,T_a)),V_Q))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_Q))
% 2.56/2.89 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_wfE__min_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a)),V_Q))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_Q))
% 2.56/2.89 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_wf__insert_0,axiom,
% 2.56/2.89 ( c_Wellfounded_Owf(V_r,T_a)
% 2.56/2.89 | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_ImageE_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(T_b),c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a)),V_A))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Image__iff_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(T_b),c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a)),V_A))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_in__rtrancl__UnI_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(V_R,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_in__rtrancl__UnI_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(V_S,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setprod__1_H_1,axiom,
% 2.56/2.89 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b)
% 2.56/2.89 | hAPP(V_f,c_ATP__Linkup_Osko__Finite__Set__Xsetprod__1_H__1__1(V_F,V_f,T_a,T_b)) != c_HOL_Oone__class_Oone(T_b)
% 2.56/2.89 | c_Finite__Set_Osetprod(V_f,V_F,T_a,T_b) = c_HOL_Oone__class_Oone(T_b) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setprod__empty_0,axiom,
% 2.56/2.89 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 2.56/2.89 | c_Finite__Set_Osetprod(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_trancl__mono_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Transitive__Closure_Otrancl(V_s,T_a)))
% 2.56/2.89 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_equiv__class__eq_0,axiom,
% 2.56/2.89 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 2.56/2.89 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_equiv__class__eq__iff_0,axiom,
% 2.56/2.89 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 2.56/2.89 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acc__induct_2,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_a))
% 2.56/2.89 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acc_Oinducts_2,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_x))
% 2.56/2.89 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acc__induct__rule_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_a))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a)),c_Wellfounded_Oacc(V_r,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_not__acc__down_1,axiom,
% 2.56/2.89 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a)),c_Wellfounded_Oacc(V_R,T_a)))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Wellfounded_Oacc(V_R,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acc__induct__rule_2,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_a))
% 2.56/2.89 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acc_Oinduct_2,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_x))
% 2.56/2.89 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acc_OaccI_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Wellfounded_Oacc(V_r,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a)),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acc__induct_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_a))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a)),c_Wellfounded_Oacc(V_r,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_wf__union__merge_0,axiom,
% 2.56/2.89 ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 2.56/2.89 | ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_wf__union__merge_1,axiom,
% 2.56/2.89 ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 2.56/2.89 | ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_trancl__unfold_0,axiom,
% 2.56/2.89 c_Transitive__Closure_Otrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Domain__rtrancl_0,axiom,
% 2.56/2.89 c_Relation_ODomain(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_rtrancl__reflcl__absorb_0,axiom,
% 2.56/2.89 c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_rtrancl__reflcl_0,axiom,
% 2.56/2.89 c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_refl__rtrancl_0,axiom,
% 2.56/2.89 c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Range__rtrancl_0,axiom,
% 2.56/2.89 c_Relation_ORange(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acyclic__impl__antisym__rtrancl_0,axiom,
% 2.56/2.89 ( c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)
% 2.56/2.89 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_sym__Un__converse_0,axiom,
% 2.56/2.89 c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Oconverse(V_r,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Domain__Id_0,axiom,
% 2.56/2.89 c_Relation_ODomain(c_Relation_OId(T_a),T_a,T_a) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Range__Id_0,axiom,
% 2.56/2.89 c_Relation_ORange(c_Relation_OId(T_a),T_a,T_a) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_refl__Id_0,axiom,
% 2.56/2.89 c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Relation_OId(T_a),T_a) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Image__Id__on_0,axiom,
% 2.56/2.89 c_Relation_OImage(c_Relation_OId__on(V_A,T_a),V_B,T_a,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_antisym__reflcl_0,axiom,
% 2.56/2.89 ( c_Relation_Oantisym(V_r,T_a)
% 2.56/2.89 | ~ c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_antisym__reflcl_1,axiom,
% 2.56/2.89 ( c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 2.56/2.89 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_sgn__if_1,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 2.56/2.89 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Oone__class_Oone(T_a)
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x))
% 2.56/2.89 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_divide__less__0__1__iff_1,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_divide__less__0__1__iff_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.56/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_zero__less__two_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a)))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setsum__0_H_0,axiom,
% 2.56/2.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 2.56/2.89 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_A) = c_HOL_Ozero__class_Ozero(T_b)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1(V_A,V_f,T_a,T_b)),V_A)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_power__less__imp__less__exp_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_m,T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_power__strict__increasing_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_a,V_N,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_N)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_power__strict__increasing__iff_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_b,V_x,T_a)),c_Power_Opower__class_Opower(V_b,V_y,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_power__strict__increasing__iff_1,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_b,V_x,T_a)),c_Power_Opower__class_Opower(V_b,V_y,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setprod__pos_1,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_b)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_b),c_HOL_Ozero__class_Ozero(T_b)),c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_b),c_HOL_Ozero__class_Ozero(T_b)),hAPP(V_f,c_ATP__Linkup_Osko__Finite__Set__Xsetprod__pos__1__1(V_A,V_f,T_a,T_b)))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setsum__left__distrib_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 2.56/2.89 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),V_r) = hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),T_b,T_a,T_a),V_r)),V_A) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setsum__divide__distrib_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.56/2.89 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),V_r) = hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(c_COMBC(c_COMBB(c_HOL_Oinverse__class_Odivide(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),T_b,T_a,T_a),V_r)),V_A) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_dvd__setprod_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_b)
% 2.56/2.89 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(V_f,V_i),c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b),T_b)
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),V_A))
% 2.56/2.89 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setsum__subtractf_0,axiom,
% 2.56/2.89 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.56/2.89 | hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),c_COMBS(c_COMBB(c_HOL_Ominus__class_Ominus(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),V_g,T_b,T_a,T_a)),V_A) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_g),V_A)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setsum__addf_0,axiom,
% 2.56/2.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.56/2.89 | hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),c_COMBS(c_COMBB(c_HOL_Oplus__class_Oplus(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),V_g,T_b,T_a,T_a)),V_A) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_g),V_A)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setprod__1_H_0,axiom,
% 2.56/2.89 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b)
% 2.56/2.89 | c_Finite__Set_Osetprod(V_f,V_F,T_a,T_b) = c_HOL_Oone__class_Oone(T_b)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Finite__Set__Xsetprod__1_H__1__1(V_F,V_f,T_a,T_b)),V_F)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setprod__zero__iff_1,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_b)
% 2.56/2.89 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_b)
% 2.56/2.89 | c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b) != c_HOL_Ozero__class_Ozero(T_b)
% 2.56/2.89 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.56/2.89 | hAPP(V_f,c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1(V_A,V_f,T_a,T_b)) = c_HOL_Ozero__class_Ozero(T_b) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_SigmaE_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1(V_A,V_B,V_c,T_a,T_b)),V_A))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),V_c),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_rtranclE_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(V_a,V_b,V_r,T_a),V_b,T_a,T_a)),V_r))
% 2.56/2.89 | V_a = V_b
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_converse__rtranclE_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(V_r,V_x,V_z,T_a),V_z,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.89 | V_x = V_z
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_converse__rtranclE_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(V_r,V_x,V_z,T_a),T_a,T_a)),V_r))
% 2.56/2.89 | V_x = V_z
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_converse__rtrancl__induct_2,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_a))
% 2.56/2.89 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(V_P,V_b,V_r,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(V_P,V_b))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_converse__rtrancl__induct_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_a))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(V_P,V_b,V_r,T_a),V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(V_P,V_b))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_rtrancl__induct_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_b))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P,V_a,V_r,T_a),T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(V_P,V_a))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_rtrancl__induct_3,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_b))
% 2.56/2.89 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(V_P,V_a,V_r,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(V_P,V_a))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_single__valued__confluent_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_z,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_z,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.89 | ~ c_Relation_Osingle__valued(V_r,T_a,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_rtrancl_Ocases_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,v_sko__Transitive__Closure__Xrtrancl__Xcases__1(V_a1,V_a2,V_r),t_a,t_a)),c_Transitive__Closure_Ortrancl(V_r,t_a)))
% 2.56/2.89 | V_a2 = V_a1
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,V_a2,t_a,t_a)),c_Transitive__Closure_Ortrancl(V_r,t_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_rtrancl__induct_2,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_b))
% 2.56/2.89 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P,V_a,V_r,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(V_P,V_a))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_rtrancl_Ocases_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(v_sko__Transitive__Closure__Xrtrancl__Xcases__1(V_a1,V_a2,V_r),V_a2,t_a,t_a)),V_r))
% 2.56/2.89 | V_a2 = V_a1
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,V_a2,t_a,t_a)),c_Transitive__Closure_Ortrancl(V_r,t_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_converse__rtrancl__induct_3,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_a))
% 2.56/2.89 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(V_P,V_b,V_r,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(V_P,V_b))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_rtranclE_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(V_a,V_b,V_r,T_a),T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.89 | V_a = V_b
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_wf__induct__rule_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_a))
% 2.56/2.89 | hBOOL(hAPP(V_P,V_y))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(V_P,V_r,T_a),T_a,T_a)),V_r))
% 2.56/2.89 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_wf__def_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_xa))
% 2.56/2.89 | hBOOL(hAPP(V_P,V_y))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(V_P,V_r,T_a),T_a,T_a)),V_r))
% 2.56/2.89 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_tfl__wf__induct_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_Ra))
% 2.56/2.89 | hBOOL(hAPP(V_P,V_y))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(V_P,V_R,T_a),T_a,T_a)),V_R))
% 2.56/2.89 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_wf__induct_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_a))
% 2.56/2.89 | hBOOL(hAPP(V_P,V_y))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P,V_r,T_a),T_a,T_a)),V_r))
% 2.56/2.89 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setsum__commute_0,axiom,
% 2.56/2.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.56/2.89 | hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(c_COMBC(c_COMBB(c_Finite__Set_Osetsum(T_c,T_a),V_f,tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_bool),T_a),T_b),T_b,tc_fun(T_c,tc_bool),T_a),V_B)),V_A) = hAPP(hAPP(c_Finite__Set_Osetsum(T_c,T_a),hAPP(c_COMBC(c_COMBB(c_Finite__Set_Osetsum(T_b,T_a),c_COMBC(V_f,T_b,T_c,T_a),tc_fun(T_b,T_a),tc_fun(tc_fun(T_b,tc_bool),T_a),T_c),T_c,tc_fun(T_b,tc_bool),T_a),V_A)),V_B) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_irrefl__trancl__rD_0,axiom,
% 2.56/2.89 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),V_r))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(V_r,T_a),T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_converse__tranclE_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(V_r,V_x,V_z,T_a),V_z,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_tranclD_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),T_a,T_a)),V_R))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_trancl_Ocases_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,v_sko__Transitive__Closure__Xtrancl__Xcases__1(V_a1,V_a2,V_r),t_a,t_a)),c_Transitive__Closure_Otrancl(V_r,t_a)))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,V_a2,t_a,t_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,V_a2,t_a,t_a)),c_Transitive__Closure_Otrancl(V_r,t_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acyclic__def_0,axiom,
% 2.56/2.89 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))
% 2.56/2.89 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_tranclE_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(V_a,V_b,V_r,T_a),V_b,T_a,T_a)),V_r))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_tranclE_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(V_a,V_b,V_r,T_a),T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_tranclD2_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a)),V_R))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_converse__tranclE_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(V_r,V_x,V_z,T_a),T_a,T_a)),V_r))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_trancl_Ocases_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(v_sko__Transitive__Closure__Xtrancl__Xcases__1(V_a1,V_a2,V_r),V_a2,t_a,t_a)),V_r))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,V_a2,t_a,t_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,V_a2,t_a,t_a)),c_Transitive__Closure_Otrancl(V_r,t_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setprod__timesf_0,axiom,
% 2.56/2.89 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 2.56/2.89 | c_Finite__Set_Osetprod(c_COMBS(c_COMBB(c_HOL_Otimes__class_Otimes(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),V_g,T_b,T_a,T_a),V_A,T_b,T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Finite__Set_Osetprod(V_f,V_A,T_b,T_a)),c_Finite__Set_Osetprod(V_g,V_A,T_b,T_a)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_rel__compEpair_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_c,T_b)),c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(V_a,V_c,V_r,V_s,T_a,T_b,T_c),V_c,T_c,T_b)),V_s))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_c,T_a,T_b)),c_Relation_Orel__comp(V_r,V_s,T_a,T_c,T_b))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_rel__compEpair_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_c)),c_Pair(V_a,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(V_a,V_c,V_r,V_s,T_a,T_b,T_c),T_a,T_c)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_c,T_a,T_b)),c_Relation_Orel__comp(V_r,V_s,T_a,T_c,T_b))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_IdE_0,axiom,
% 2.56/2.89 ( V_p = c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(V_p,T_a),c_ATP__Linkup_Osko__Relation__XIdE__1__1(V_p,T_a),T_a,T_a)
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Relation_OId(T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_of__nat__setsum_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 2.56/2.89 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,tc_nat),V_f),V_A)) = hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),c_COMBB(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_f,tc_nat,T_a,T_b)),V_A) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_wf__acc__iff_1,axiom,
% 2.56/2.89 ( c_Wellfounded_Owf(V_r,T_a)
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(V_r,T_a)),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acc__wfI_0,axiom,
% 2.56/2.89 ( c_Wellfounded_Owf(V_r,T_a)
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(V_r,T_a)),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_of__nat__setprod_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 2.56/2.89 | ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 2.56/2.89 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Finite__Set_Osetprod(V_f,V_A,T_b,tc_nat)) = c_Finite__Set_Osetprod(c_COMBB(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_f,tc_nat,T_a,T_b),V_A,T_b,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Id__onE_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a)),V_A))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_c),c_Relation_OId__on(V_A,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Id__onE_1,axiom,
% 2.56/2.89 ( V_c = c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),T_a,T_a)
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_c),c_Relation_OId__on(V_A,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_cuts__eq_1,axiom,
% 2.56/2.89 ( c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) = c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_List_Osko__Recdef__Xcuts__eq__1__1(V_f,V_g,V_r,V_x,T_a,T_b),V_x,T_a,T_a)),V_r)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_reflcl__trancl_0,axiom,
% 2.56/2.89 c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) = c_Transitive__Closure_Ortrancl(V_r,T_a) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_trancl__reflcl_0,axiom,
% 2.56/2.89 c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Nitpick_Ortrancl__def_0,axiom,
% 2.56/2.89 c_Transitive__Closure_Ortrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_rtrancl__unfold_0,axiom,
% 2.56/2.89 c_Transitive__Closure_Ortrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(T_a),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_refl__on__comp__subset_0,axiom,
% 2.56/2.89 ( c_lessequals(V_r,c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 2.56/2.89 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Range__def__raw_0,axiom,
% 2.56/2.89 c_Relation_ORange(v_r,t_a,t_b) = c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_irrefl__def_1,axiom,
% 2.56/2.89 ( c_Relation_Oirrefl(V_r,T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r,T_a),c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r,T_a),T_a,T_a)),V_r)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_congruent2__implies__congruent_0,axiom,
% 2.56/2.89 ( c_Equiv__Relations_Ocongruent(V_r2,hAPP(V_f,V_a),T_b,T_c)
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 2.56/2.89 | ~ c_Equiv__Relations_Ocongruent2(V_r1,V_r2,V_f,T_a,T_b,T_c)
% 2.56/2.89 | ~ c_Equiv__Relations_Oequiv(V_A,V_r1,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_mlex__leq_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omlex__prod(V_f,V_R,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_R))
% 2.56/2.89 | ~ c_lessequals(hAPP(V_f,V_x),hAPP(V_f,V_y),tc_nat) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Nitpick_Orefl_H__def_1,axiom,
% 2.56/2.89 ( c_Nitpick_Orefl_H(V_r,T_a)
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),T_a,T_a)),V_r)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_power__strict__decreasing_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oone__class_Oone(T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_N)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setprod__pos_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_b)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_b),c_HOL_Ozero__class_Ozero(T_b)),c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b)))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Finite__Set__Xsetprod__pos__1__1(V_A,V_f,T_a,T_b)),V_A)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_of__nat__0__less__iff_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_of__nat__0__less__iff_1,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setprod__zero__iff_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_b)
% 2.56/2.89 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_b)
% 2.56/2.89 | c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b) != c_HOL_Ozero__class_Ozero(T_b)
% 2.56/2.89 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1(V_A,V_f,T_a,T_b)),V_A)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_wfE__min_1,axiom,
% 2.56/2.89 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_Q))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a),T_a,T_a)),V_R))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_Q))
% 2.56/2.89 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_wf__eq__minimal_1,axiom,
% 2.56/2.89 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_Q))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q,V_r,T_a),T_a,T_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_Q))
% 2.56/2.89 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_ImageE_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Image__iff_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setprod__dividef_0,axiom,
% 2.56/2.89 ( ~ class_Ring__and__Field_Ofield(T_b)
% 2.56/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_b)
% 2.56/2.89 | c_Finite__Set_Osetprod(c_COMBS(c_COMBB(c_HOL_Oinverse__class_Odivide(T_b),V_f,T_b,tc_fun(T_b,T_b),T_a),V_g,T_a,T_b,T_b),V_A,T_a,T_b) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_b),c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b)),c_Finite__Set_Osetprod(V_g,V_A,T_a,T_b))
% 2.56/2.89 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_DomainE_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(V_a,V_r,T_a,T_b),T_a,T_b)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Domain__iff_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(V_a,V_r,T_a,T_b),T_a,T_b)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_not__acc__down_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a),V_x,T_a,T_a)),V_R))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Wellfounded_Oacc(V_R,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acc__induct__rule_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_a))
% 2.56/2.89 | hBOOL(hAPP(V_P,V_y))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a),T_a,T_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acc_Oinduct_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_x))
% 2.56/2.89 | hBOOL(hAPP(V_P,V_y))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acc_OaccI_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Wellfounded_Oacc(V_r,T_a)))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a),V_x,T_a,T_a)),V_r)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acc_Oinducts_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_x))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(t_a),V_ya),c_Wellfounded_Oacc(V_r,t_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acc_Oinducts_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_x))
% 2.56/2.89 | hBOOL(hAPP(V_P,V_y))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acc_Oinduct_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_x))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(t_a),V_ya),c_Wellfounded_Oacc(V_r,t_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_acc__induct_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(V_P,V_a))
% 2.56/2.89 | hBOOL(hAPP(V_P,V_y))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a),T_a,T_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_wf__insert_1,axiom,
% 2.56/2.89 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.89 | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_wf__insert_2,axiom,
% 2.56/2.89 ( c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.89 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_RangeE_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(V_b,V_r,T_a,T_b),V_b,T_b,T_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_ORange(V_r,T_b,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_Range__iff_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(V_a,V_r,T_a,T_b),V_a,T_b,T_a)),V_r))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ORange(V_r,T_b,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_tranclD2_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_tranclD_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a))) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setprod__gen__delta_1,axiom,
% 2.56/2.89 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b)
% 2.56/2.89 | c_Finite__Set_Osetprod(hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),V_c),V_S,T_a,T_b) = c_Power_Opower__class_Opower(V_c,c_Finite__Set_Ocard(V_S,T_a),T_b)
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S))
% 2.56/2.89 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_vimage__if_2,axiom,
% 2.56/2.89 ( c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),T_a,T_b,tc_fun(T_b,T_b)),V_c),T_a,T_b,T_b),V_d),V_A,T_a,T_b) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B)
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_vimage__if_0,axiom,
% 2.56/2.89 ( c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),T_a,T_b,tc_fun(T_b,T_b)),V_c),T_a,T_b,T_b),V_d),V_A,T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_vimage__if_3,axiom,
% 2.56/2.89 ( c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),T_a,T_b,tc_fun(T_b,T_b)),V_c),T_a,T_b,T_b),V_d),V_A,T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))
% 2.56/2.89 | hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setsum__restrict__set_0,axiom,
% 2.56/2.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 2.56/2.89 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_f,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Ozero__class_Ozero(T_b))),V_A)
% 2.56/2.89 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_converse__iff_1,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Relation_Oconverse(V_r,T_b,T_a)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_converseI_0,axiom,
% 2.56/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),c_Relation_Oconverse(V_r,T_a,T_b)))
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_cut__apply_0,axiom,
% 2.56/2.89 ( hAPP(c_Recdef_Ocut(V_f,V_r,V_a,T_a,T_b),V_x) = hAPP(V_f,V_x)
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_a,T_a,T_a)),V_r)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_tfl__cut__apply_0,axiom,
% 2.56/2.89 ( hAPP(c_Recdef_Ocut(V_f,V_R,V_a,T_a,T_b),V_x) = hAPP(V_f,V_x)
% 2.56/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_a,T_a,T_a)),V_R)) ) ).
% 2.56/2.89
% 2.56/2.89 cnf(cls_setprod__delta_H_1,axiom,
% 2.56/2.89 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b)
% 2.56/2.90 | c_Finite__Set_Osetprod(hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_fequal(T_a),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Oone__class_Oone(T_b)),V_S,T_a,T_b) = c_HOL_Oone__class_Oone(T_b)
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S))
% 2.56/2.90 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_setsum__delta_H_0,axiom,
% 2.56/2.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 2.56/2.90 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_fequal(T_a),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Ozero__class_Ozero(T_b))),V_S) = hAPP(V_b,V_a)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S))
% 2.56/2.90 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_setsum__delta_H_1,axiom,
% 2.56/2.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 2.56/2.90 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_fequal(T_a),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Ozero__class_Ozero(T_b))),V_S) = c_HOL_Ozero__class_Ozero(T_b)
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S))
% 2.56/2.90 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_setprod__delta_H_0,axiom,
% 2.56/2.90 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b)
% 2.56/2.90 | c_Finite__Set_Osetprod(hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_fequal(T_a),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Oone__class_Oone(T_b)),V_S,T_a,T_b) = hAPP(V_b,V_a)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S))
% 2.56/2.90 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Not__Domain__rtrancl_0,axiom,
% 2.56/2.90 ( V_x = V_y
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a)))
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Relation_ODomain(V_R,T_a,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Not__Domain__rtrancl_1,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Relation_ODomain(V_R,T_a,T_a)))
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_acc__downwards_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Wellfounded_Oacc(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_a,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_acc__downwards__aux_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Wellfounded_Oacc(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_a,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_r__into__rtrancl_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),V_r)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_r__into__trancl_H_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Transitive__Closure_Otrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),V_r)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtrancl__into__trancl2_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtrancl__into__trancl1_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtrancl__eq__or__trancl_2,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a)))
% 2.56/2.90 | V_x = V_y ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtrancl__eq__or__trancl_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a)))
% 2.56/2.90 | V_x = V_y
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtranclD_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a)))
% 2.56/2.90 | V_a = V_b
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtrancl__converseI_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtrancl__converseD_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_trancl__into__rtrancl_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_trancl__rtrancl__trancl_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtrancl__trancl__trancl_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_z,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_trancl__converseD_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_trancl__converseI_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_vimageD_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_vimageE_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_vimageI_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_vimageI2_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_vimage__eq_1,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_pred__equals__eq_0,axiom,
% 2.56/2.90 ( hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R) != hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S)
% 2.56/2.90 | V_R = V_S ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_acc__wfD_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Wellfounded_Oacc(V_r,T_a)))
% 2.56/2.90 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_sym__trancl_0,axiom,
% 2.56/2.90 ( c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)
% 2.56/2.90 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_finite_0,axiom,
% 2.56/2.90 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 2.56/2.90 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_sym__converse_0,axiom,
% 2.56/2.90 ( c_Relation_Osym(V_r,T_a)
% 2.56/2.90 | ~ c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_sym__converse_1,axiom,
% 2.56/2.90 ( c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 2.56/2.90 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_trancl__domain_0,axiom,
% 2.56/2.90 c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ODomain(V_r,T_a,T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_setprod__zero_0,axiom,
% 2.56/2.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_b)
% 2.56/2.90 | hAPP(V_f,V_x) != c_HOL_Ozero__class_Ozero(T_b)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.56/2.90 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.56/2.90 | c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b) = c_HOL_Ozero__class_Ozero(T_b) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_setprod__zero__iff_2,axiom,
% 2.56/2.90 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_b)
% 2.56/2.90 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_b)
% 2.56/2.90 | hAPP(V_f,V_x) != c_HOL_Ozero__class_Ozero(T_b)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.56/2.90 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.56/2.90 | c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b) = c_HOL_Ozero__class_Ozero(T_b) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_of__nat__less__0__iff_0,axiom,
% 2.56/2.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_sym__Id_0,axiom,
% 2.56/2.90 c_Relation_Osym(c_Relation_OId(T_a),T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Id__O__R_0,axiom,
% 2.56/2.90 c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b) = V_R ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_R__O__Id_0,axiom,
% 2.56/2.90 c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b) = V_R ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_antisym__Id__on_0,axiom,
% 2.56/2.90 c_Relation_Oantisym(c_Relation_OId__on(V_A,T_a),T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_wf__converse__trancl_0,axiom,
% 2.56/2.90 ( c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),T_a)
% 2.56/2.90 | ~ c_Wellfounded_Owf(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_refl__on__converse_0,axiom,
% 2.56/2.90 ( c_Relation_Orefl__on(V_A,V_r,T_a)
% 2.56/2.90 | ~ c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_refl__on__converse_1,axiom,
% 2.56/2.90 ( c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 2.56/2.90 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_sym__rtrancl_0,axiom,
% 2.56/2.90 ( c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)
% 2.56/2.90 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_wf__comp__self_0,axiom,
% 2.56/2.90 ( c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a)
% 2.56/2.90 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_wf__comp__self_1,axiom,
% 2.56/2.90 ( c_Wellfounded_Owf(V_R,T_a)
% 2.56/2.90 | ~ c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Image__Id_0,axiom,
% 2.56/2.90 c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a) = V_A ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_zero__neq__one_0,axiom,
% 2.56/2.90 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.56/2.90 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Domain__Id__on_0,axiom,
% 2.56/2.90 c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_sym__conv__converse__eq_0,axiom,
% 2.56/2.90 ( c_Relation_Oconverse(V_r,T_a,T_a) = V_r
% 2.56/2.90 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_sym__conv__converse__eq_1,axiom,
% 2.56/2.90 ( c_Relation_Oconverse(V_r,T_a,T_a) != V_r
% 2.56/2.90 | c_Relation_Osym(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_trancl__range_0,axiom,
% 2.56/2.90 c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ORange(V_r,T_a,T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_setprod__def_1,axiom,
% 2.56/2.90 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 2.56/2.90 | c_Finite__Set_Osetprod(V_f,V_A,T_b,T_a) = c_HOL_Oone__class_Oone(T_a)
% 2.56/2.90 | c_Finite__Set_Ofinite(V_A,T_b) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_setprod__infinite_0,axiom,
% 2.56/2.90 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b)
% 2.56/2.90 | c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b) = c_HOL_Oone__class_Oone(T_b)
% 2.56/2.90 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_converse__rel__comp_0,axiom,
% 2.56/2.90 c_Relation_Oconverse(c_Relation_Orel__comp(V_r,V_s,T_b,T_c,T_a),T_b,T_a) = c_Relation_Orel__comp(c_Relation_Oconverse(V_s,T_c,T_a),c_Relation_Oconverse(V_r,T_b,T_c),T_a,T_c,T_b) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_sym__Id__on_0,axiom,
% 2.56/2.90 c_Relation_Osym(c_Relation_OId__on(V_A,T_a),T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_refl__on__Id__on_0,axiom,
% 2.56/2.90 c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_wf__inv__image_0,axiom,
% 2.56/2.90 ( c_Wellfounded_Owf(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)
% 2.56/2.90 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_r__comp__rtrancl__eq_0,axiom,
% 2.56/2.90 c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_sym__inv__image_0,axiom,
% 2.56/2.90 ( c_Relation_Osym(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)
% 2.56/2.90 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtrancl__trancl__absorb_0,axiom,
% 2.56/2.90 c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_converse__Id_0,axiom,
% 2.56/2.90 c_Relation_Oconverse(c_Relation_OId(T_a),T_a,T_a) = c_Relation_OId(T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_wf__trancl_0,axiom,
% 2.56/2.90 ( c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)
% 2.56/2.90 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_O__assoc_0,axiom,
% 2.56/2.90 c_Relation_Orel__comp(c_Relation_Orel__comp(V_R,V_S,T_a,T_d,T_c),V_T,T_a,T_c,T_b) = c_Relation_Orel__comp(V_R,c_Relation_Orel__comp(V_S,V_T,T_d,T_c,T_b),T_a,T_d,T_b) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_converse__inv__image_0,axiom,
% 2.56/2.90 c_Relation_Oconverse(c_Relation_Oinv__image(V_R,V_f,T_b,T_a),T_a,T_a) = c_Relation_Oinv__image(c_Relation_Oconverse(V_R,T_b,T_b),V_f,T_b,T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_trancl__converse_0,axiom,
% 2.56/2.90 c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a) = c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_of__nat__eq__iff_0,axiom,
% 2.56/2.90 ( ~ class_Nat_Osemiring__char__0(T_a)
% 2.56/2.90 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)
% 2.56/2.90 | V_m = V_n ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_converse__Id__on_0,axiom,
% 2.56/2.90 c_Relation_Oconverse(c_Relation_OId__on(V_A,T_a),T_a,T_a) = c_Relation_OId__on(V_A,T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_comp__equivI_0,axiom,
% 2.56/2.90 ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a) != V_r
% 2.56/2.90 | c_Equiv__Relations_Oequiv(c_Relation_ODomain(V_r,T_a,T_a),V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_antisym__Id_0,axiom,
% 2.56/2.90 c_Relation_Oantisym(c_Relation_OId(T_a),T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_wf__mlex_0,axiom,
% 2.56/2.90 ( c_Wellfounded_Owf(c_Wellfounded_Omlex__prod(V_f,V_R,T_a),T_a)
% 2.56/2.90 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Range__converse_0,axiom,
% 2.56/2.90 c_Relation_ORange(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = c_Relation_ODomain(V_r,T_a,T_b) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Range__Id__on_0,axiom,
% 2.56/2.90 c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_not__one__less__zero_0,axiom,
% 2.56/2.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_converse__converse_0,axiom,
% 2.56/2.90 c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_one__neq__zero_0,axiom,
% 2.56/2.90 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.56/2.90 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_setsum__def_1,axiom,
% 2.56/2.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.56/2.90 | hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A) = c_HOL_Ozero__class_Ozero(T_a)
% 2.56/2.90 | c_Finite__Set_Ofinite(V_A,T_b) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_setsum__infinite_0,axiom,
% 2.56/2.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 2.56/2.90 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_A) = c_HOL_Ozero__class_Ozero(T_b)
% 2.56/2.90 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_equiv__comp__eq_0,axiom,
% 2.56/2.90 ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a) = V_r
% 2.56/2.90 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtrancl__idemp__self__comp_0,axiom,
% 2.56/2.90 c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_antisym__converse_0,axiom,
% 2.56/2.90 ( c_Relation_Oantisym(V_r,T_a)
% 2.56/2.90 | ~ c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_antisym__converse_1,axiom,
% 2.56/2.90 ( c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 2.56/2.90 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_equiv_Orefl__on_0,axiom,
% 2.56/2.90 ( c_Relation_Orefl__on(V_A,V_r,T_a)
% 2.56/2.90 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_zero__less__one_0,axiom,
% 2.56/2.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oone__class_Oone(T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtrancl__converse_0,axiom,
% 2.56/2.90 c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a) = c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_equiv_Osym_0,axiom,
% 2.56/2.90 ( c_Relation_Osym(V_r,T_a)
% 2.56/2.90 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Domain__converse_0,axiom,
% 2.56/2.90 c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b) = c_Relation_ORange(V_r,T_b,T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_trancl__unfold__right_0,axiom,
% 2.56/2.90 c_Transitive__Closure_Otrancl(V_r,T_a) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_trancl__unfold__left_0,axiom,
% 2.56/2.90 c_Transitive__Closure_Otrancl(V_r,T_a) = c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Range__def_0,axiom,
% 2.56/2.90 c_Relation_ORange(V_r,T_b,T_a) = c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_total__on__converse_0,axiom,
% 2.56/2.90 ( c_Relation_Ototal__on(V_A,V_r,T_a)
% 2.56/2.90 | ~ c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_total__on__converse_1,axiom,
% 2.56/2.90 ( c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 2.56/2.90 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_vimage__code_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 2.56/2.90 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_vimage__code_1,axiom,
% 2.56/2.90 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 2.56/2.90 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_wf__measure_0,axiom,
% 2.56/2.90 c_Wellfounded_Owf(c_Wellfounded_Omeasure(V_f,T_a),T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_trancl__rtrancl__absorb_0,axiom,
% 2.56/2.90 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtrancl__idemp_0,axiom,
% 2.56/2.90 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_converseD_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Relation_Oconverse(V_r,T_b,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_irrefl__def_0,axiom,
% 2.56/2.90 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),V_r))
% 2.56/2.90 | ~ c_Relation_Oirrefl(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Transitive__Closure_Otrancl__into__trancl_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_trancl__into__trancl2_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtrancl_Ortrancl__into__rtrancl_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_converse__rtrancl__into__rtrancl_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_trancl_Or__into__trancl_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtrancl__trans_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtrancl_Ortrancl__refl_0,axiom,
% 2.56/2.90 hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rtrancl__eq__or__trancl_1,axiom,
% 2.56/2.90 hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_wf__asym_0,axiom,
% 2.56/2.90 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_a,T_a,T_a)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_x,T_a,T_a)),V_r))
% 2.56/2.90 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_antisym__def_0,axiom,
% 2.56/2.90 ( V_x = V_y
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 2.56/2.90 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_antisymD_0,axiom,
% 2.56/2.90 ( V_a = V_b
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_a,T_a,T_a)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 2.56/2.90 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_congruent_Ocongruent_0,axiom,
% 2.56/2.90 ( hAPP(V_f,V_y) = hAPP(V_f,V_z)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_z,T_a,T_a)),V_r))
% 2.56/2.90 | ~ c_Equiv__Relations_Ocongruent(V_r,V_f,T_a,T_b) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Id__on__iff_0,axiom,
% 2.56/2.90 ( V_x = V_y
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_OId__on(V_A,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_cuts__eq_0,axiom,
% 2.56/2.90 ( c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) != c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b)
% 2.56/2.90 | hAPP(V_f,V_y) = hAPP(V_g,V_y)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),V_r)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_pair__in__Id__conv_0,axiom,
% 2.56/2.90 ( V_a = V_b
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Relation_OId(T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Nitpick_Orefl_H__def_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),V_r))
% 2.56/2.90 | ~ c_Nitpick_Orefl_H(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_wf__irrefl_0,axiom,
% 2.56/2.90 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),V_r))
% 2.56/2.90 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__inv__image_1,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oinv__image(V_r,V_f,T_b,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_b)),c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b)),V_r)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__inv__image_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_b)),c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oinv__image(V_r,V_f,T_b,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_sym__def_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 2.56/2.90 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_symD_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_a,T_a,T_a)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 2.56/2.90 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rel__compI_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_c)),c_Pair(V_a,V_c,T_a,T_c)),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_c)),c_Pair(V_b,V_c,T_b,T_c)),V_s))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_r__r__into__trancl_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_R))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_R)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_trancl__trans_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_pair__in__Id__conv_1,axiom,
% 2.56/2.90 hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Relation_OId(T_a))) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_IdI_0,axiom,
% 2.56/2.90 hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),c_Relation_OId(T_a))) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_of__nat__less__iff_0,axiom,
% 2.56/2.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_of__nat__less__iff_1,axiom,
% 2.56/2.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_complete__Lin_1,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b)))
% 2.56/2.90 | V_a = V_b ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_setprod__delta_1,axiom,
% 2.56/2.90 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b)
% 2.56/2.90 | c_Finite__Set_Osetprod(hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Oone__class_Oone(T_b)),V_S,T_a,T_b) = c_HOL_Oone__class_Oone(T_b)
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S))
% 2.56/2.90 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_setsum__delta_0,axiom,
% 2.56/2.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 2.56/2.90 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Ozero__class_Ozero(T_b))),V_S) = hAPP(V_b,V_a)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S))
% 2.56/2.90 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_setprod__delta_0,axiom,
% 2.56/2.90 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b)
% 2.56/2.90 | c_Finite__Set_Osetprod(hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Oone__class_Oone(T_b)),V_S,T_a,T_b) = hAPP(V_b,V_a)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S))
% 2.56/2.90 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_setsum__delta_1,axiom,
% 2.56/2.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 2.56/2.90 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Ozero__class_Ozero(T_b))),V_S) = c_HOL_Ozero__class_Ozero(T_b)
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S))
% 2.56/2.90 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_vimage__if_1,axiom,
% 2.56/2.90 ( c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),T_a,T_b,tc_fun(T_b,T_b)),V_c),T_a,T_b,T_b),V_d),V_A,T_a,T_b) = V_B
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_mem__Sigma__iff_2,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_SigmaI_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_acc__downward_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_acc_Ocases_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),c_Wellfounded_Oacc(V_r,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_a,T_a,T_a)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_rev__ImageI_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_OImage(V_r,V_A,T_a,T_b)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Image__iff_2,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_b,T_b,T_a)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Id__on__iff_1,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_OId__on(V_A,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Id__on__eqI_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Relation_OId__on(V_A,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_equiv__class__eq__iff_2,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 2.56/2.90 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_equiv__class__eq__iff_1,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 2.56/2.90 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Range__iff_1,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ORange(V_r,T_b,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_a,T_b,T_a)),V_r)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_RangeI_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_ORange(V_r,T_a,T_b)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Domain__iff_1,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_x,T_a,T_b)),V_r)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_DomainI_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_SigmaD2_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_SigmaD1_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_total__on__def_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_xa,V_x,T_a,T_a)),V_r))
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_xa,T_a,T_a)),V_r))
% 2.56/2.90 | V_x = V_xa
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.56/2.90 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_refl__on__def_1,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.56/2.90 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_refl__onD2_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 2.56/2.90 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_refl__onD1_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 2.56/2.90 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_refl__onD_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),V_r))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 2.56/2.90 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_mlex__less_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omlex__prod(V_f,V_R,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__measure_1,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omeasure(V_f,T_a)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__measure_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omeasure(V_f,T_a))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_order__less__asym_H_0,axiom,
% 2.56/2.90 ( ~ class_Orderings_Opreorder(T_a)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_order__less__asym_0,axiom,
% 2.56/2.90 ( ~ class_Orderings_Opreorder(T_a)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 2.56/2.90 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_xt1_I9_J_0,axiom,
% 2.56/2.90 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__mktop_5,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_z)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 2.56/2.90 | V_x = V_y
% 2.56/2.90 | V_x = V_z ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__mktop_3,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_z)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 2.56/2.90 | V_y = V_z
% 2.56/2.90 | V_x = V_z ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Pair__eq_1,axiom,
% 2.56/2.90 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 2.56/2.90 | V_b = V_b_H ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_Pair__eq_0,axiom,
% 2.56/2.90 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 2.56/2.90 | V_a = V_a_H ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_PW_1,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(v_P____)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_PW_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(v_P____))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__mktop_1,axiom,
% 2.56/2.90 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_x))) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__mktop_0,axiom,
% 2.56/2.90 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_x))) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_linorder__antisym__conv3_0,axiom,
% 2.56/2.90 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.90 | V_x = V_y
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_linorder__less__linear_0,axiom,
% 2.56/2.90 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 2.56/2.90 | V_x = V_y
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_linorder__neqE_0,axiom,
% 2.56/2.90 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.56/2.90 | V_x = V_y ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_linorder__neqE__nat_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_y),V_x))
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y))
% 2.56/2.90 | V_x = V_y ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_nat__less__cases_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m))
% 2.56/2.90 | V_m = V_n
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_nat__neq__iff_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m))
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.56/2.90 | V_m = V_n ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 2.56/2.90 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.90 | V_x = V_y
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 2.56/2.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.56/2.90 | V_x = V_y ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__mktop_2,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 2.56/2.90 | V_y = V_z
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_z))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_order__less__irrefl_0,axiom,
% 2.56/2.90 ( ~ class_Orderings_Opreorder(T_a)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_linorder__neq__iff_1,axiom,
% 2.56/2.90 ( ~ class_Orderings_Olinorder(T_a)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_order__less__le_1,axiom,
% 2.56/2.90 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_less__not__refl_0,axiom,
% 2.56/2.90 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_n)) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_nat__less__le_1,axiom,
% 2.56/2.90 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_x)) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__mkbot_4,axiom,
% 2.56/2.90 ( V_x = V_y
% 2.56/2.90 | V_y = V_x
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_x))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__mkbot_1,axiom,
% 2.56/2.90 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_x))) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__mkbot_0,axiom,
% 2.56/2.90 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_x))) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_order__less__trans_0,axiom,
% 2.56/2.90 ( ~ class_Orderings_Opreorder(T_a)
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_xt1_I10_J_0,axiom,
% 2.56/2.90 ( ~ class_Orderings_Oorder(T_a)
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__mkbot_5,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_z)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 2.56/2.90 | V_x = V_y
% 2.56/2.90 | V_y = V_z ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__mkbot_3,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_z)))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 2.56/2.90 | V_x = V_z
% 2.56/2.90 | V_y = V_z ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_mem__def_1,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
% 2.56/2.90 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_mem__def_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(V_S,V_x))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_COMBB__def_0,axiom,
% 2.56/2.90 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_COMBC__def_0,axiom,
% 2.56/2.90 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_COMBS__def_0,axiom,
% 2.56/2.90 hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__mktop_4,axiom,
% 2.56/2.90 ( V_xa = V_x
% 2.56/2.90 | V_xa = V_x
% 2.56/2.90 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_x))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_in__mkbot_2,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 2.56/2.90 | V_x = V_z
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_z))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_CHAINED_0,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),V_m),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
% 2.56/2.90 | ~ c_lessequals(V_m,v_n____,tc_nat) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_CHAINED_1,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____)))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_CHAINED_0_01,axiom,
% 2.56/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_conjecture_0,negated_conjecture,
% 2.56/2.90 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_prod__Finite__Set_Ofinite_Ofinite,axiom,
% 2.56/2.90 ( class_Finite__Set_Ofinite_Ofinite(tc_prod(T_2,T_1))
% 2.56/2.90 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 2.56/2.90 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 2.56/2.90 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 2.56/2.90 | ~ class_Lattices_Olattice(T_1) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 2.56/2.90 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 2.56/2.90 | ~ class_Lattices_Olattice(T_1) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 2.56/2.90 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 2.56/2.90 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 2.56/2.90 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 2.56/2.90 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 2.56/2.90 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 2.56/2.90 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
% 2.56/2.90 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))
% 2.56/2.90 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 2.56/2.90 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 2.56/2.90 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 2.56/2.90 | ~ class_Orderings_Opreorder(T_1) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 2.56/2.90 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 2.56/2.90 | ~ class_Lattices_Olattice(T_1) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 2.56/2.90 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 2.56/2.90 | ~ class_Orderings_Oorder(T_1) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_fun__Orderings_Otop,axiom,
% 2.56/2.90 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 2.56/2.90 | ~ class_Orderings_Otop(T_1) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_fun__Orderings_Obot,axiom,
% 2.56/2.90 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 2.56/2.90 | ~ class_Orderings_Obot(T_1) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_fun__HOL_Oord,axiom,
% 2.56/2.90 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 2.56/2.90 | ~ class_HOL_Oord(T_1) ) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 2.56/2.90 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 2.56/2.90 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 2.56/2.90 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 2.56/2.90 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 2.56/2.90 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 2.56/2.90 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 2.56/2.90 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 2.56/2.90 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 2.56/2.90 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 2.56/2.90 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 2.56/2.90 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 2.56/2.90 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 2.56/2.90 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 2.56/2.90 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 2.56/2.90 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 2.56/2.90 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 2.56/2.90 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 2.56/2.90 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 2.56/2.90 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 2.56/2.90 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 2.56/2.90 class_Lattices_Oupper__semilattice(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 2.56/2.90 class_Lattices_Olower__semilattice(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 2.56/2.90 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 2.56/2.90 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 2.56/2.90 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 2.56/2.90 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 2.56/2.90 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 2.56/2.90 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 2.56/2.90 class_Lattices_Odistrib__lattice(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 2.56/2.90 class_Ring__and__Field_Osemiring(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 2.56/2.90 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 2.56/2.90 class_Nat_Osemiring__char__0(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom,
% 2.56/2.90 class_Ring__and__Field_Odvd(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 2.56/2.90 class_Orderings_Opreorder(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 2.56/2.90 class_Orderings_Olinorder(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 2.56/2.90 class_Lattices_Olattice(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 2.56/2.90 class_Orderings_Oorder(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Orderings_Obot,axiom,
% 2.56/2.90 class_Orderings_Obot(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__Power_Opower,axiom,
% 2.56/2.90 class_Power_Opower(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_nat__HOL_Oord,axiom,
% 2.56/2.90 class_HOL_Oord(tc_nat) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 2.56/2.90 class_Lattices_Oupper__semilattice(tc_bool) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 2.56/2.90 class_Lattices_Olower__semilattice(tc_bool) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 2.56/2.90 class_Lattices_Odistrib__lattice(tc_bool) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 2.56/2.90 class_Lattices_Obounded__lattice(tc_bool) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 2.56/2.90 class_Lattices_Oboolean__algebra(tc_bool) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
% 2.56/2.90 class_Finite__Set_Ofinite_Ofinite(tc_bool) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 2.56/2.90 class_Orderings_Opreorder(tc_bool) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 2.56/2.90 class_Lattices_Olattice(tc_bool) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 2.56/2.90 class_Orderings_Oorder(tc_bool) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_bool__Orderings_Otop,axiom,
% 2.56/2.90 class_Orderings_Otop(tc_bool) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_bool__Orderings_Obot,axiom,
% 2.56/2.90 class_Orderings_Obot(tc_bool) ).
% 2.56/2.90
% 2.56/2.90 cnf(clsarity_bool__HOL_Oord,axiom,
% 2.56/2.90 class_HOL_Oord(tc_bool) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_ATP__Linkup_OCOMBS__def_0,axiom,
% 2.56/2.90 hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
% 2.56/2.90 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
% 2.56/2.90 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 2.56/2.90 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 2.56/2.90
% 2.56/2.90 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 2.56/2.90 ( V_X = V_Y
% 2.56/2.90 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 2.56/2.90
% 2.56/2.90 %------------------------------------------------------------------------------
% 2.56/2.90 %-------------------------------------------
% 2.56/2.90 % Proof found
% 2.56/2.90 % SZS status Theorem for theBenchmark
% 2.56/2.90 % SZS output start Proof
% 2.56/2.91 %ClaNum:1716(EqnAxiom:375)
% 2.56/2.91 %VarNum:12650(SingletonVarNum:3821)
% 2.56/2.91 %MaxLitNum:6
% 2.56/2.91 %MaxfuncDepth:9
% 2.56/2.91 %SharedTerms:137
% 2.56/2.91 %goalClause: 588
% 2.56/2.91 %singleGoalClaCount:1
% 2.56/2.91 [376]P1(a1)
% 2.56/2.91 [377]P2(a1)
% 2.56/2.91 [378]P3(a2)
% 2.56/2.91 [379]P56(a1)
% 2.56/2.91 [380]P34(a1)
% 2.56/2.91 [381]P45(a2)
% 2.56/2.91 [382]P45(a1)
% 2.56/2.91 [383]P69(a1)
% 2.56/2.91 [384]P70(a1)
% 2.56/2.91 [385]P35(a1)
% 2.56/2.91 [386]P57(a1)
% 2.56/2.91 [387]P36(a1)
% 2.56/2.91 [388]P46(a1)
% 2.56/2.91 [389]P59(a1)
% 2.56/2.91 [390]P23(a2)
% 2.56/2.91 [391]P23(a1)
% 2.56/2.91 [392]P25(a2)
% 2.56/2.91 [393]P25(a1)
% 2.56/2.91 [394]P4(a2)
% 2.56/2.91 [395]P71(a1)
% 2.56/2.91 [396]P48(a1)
% 2.56/2.91 [397]P49(a1)
% 2.56/2.91 [398]P42(a1)
% 2.56/2.91 [399]P24(a2)
% 2.56/2.91 [400]P24(a1)
% 2.56/2.91 [401]P26(a2)
% 2.56/2.91 [402]P26(a1)
% 2.56/2.91 [403]P27(a1)
% 2.56/2.91 [404]P80(a1)
% 2.56/2.91 [405]P60(a1)
% 2.56/2.91 [406]P50(a2)
% 2.56/2.91 [407]P50(a1)
% 2.56/2.91 [408]P72(a1)
% 2.56/2.91 [409]P73(a1)
% 2.56/2.91 [410]P30(a1)
% 2.56/2.91 [411]P33(a1)
% 2.56/2.91 [412]P51(a2)
% 2.56/2.91 [413]P61(a1)
% 2.56/2.91 [414]P64(a1)
% 2.56/2.91 [415]P5(a2)
% 2.56/2.91 [416]P52(a2)
% 2.56/2.91 [417]P52(a1)
% 2.56/2.91 [418]P74(a1)
% 2.56/2.91 [419]P37(a1)
% 2.56/2.91 [420]P31(a1)
% 2.56/2.91 [421]P53(a1)
% 2.56/2.91 [422]P65(a1)
% 2.56/2.91 [423]P47(a1)
% 2.56/2.91 [424]P21(a2)
% 2.56/2.91 [425]P21(a1)
% 2.56/2.91 [426]P81(a1)
% 2.56/2.91 [427]P28(a1)
% 2.56/2.91 [588]~P83(f85(f85(f86(f91(a87,a87)),f69(a92,a93,a87,a87)),f95(f48(f48(f7(f51(f90(f91(a87,a87),a2)),f85(f6(f7(f50(a1),a101,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f7(a8,a94,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a92),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f48(f48(f7(f51(f90(f91(a87,a87),a2)),f85(f6(f7(f83(a1),a101,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f85(f6(f7(a10,a94,f90(f91(a87,a87),a2),f90(a87,f90(a87,f90(f91(a87,a87),a2))),a89),a89,a87,f90(a87,f90(f91(a87,a87),a2))),a98),a89,a87,f90(f91(a87,a87),a2)),a92),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f85(f6(f7(a9,a94,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a92),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)))))
% 2.56/2.91 [434]P20(x4341,x4341,a1)
% 2.56/2.91 [428]P6(f3(x4281),x4281)
% 2.56/2.91 [429]P7(f3(x4291),x4291)
% 2.56/2.91 [436]P20(f4(a1),x4361,a1)
% 2.56/2.91 [438]P13(f3(x4381),x4381,x4381)
% 2.56/2.91 [439]E(f76(f3(x4391),x4391,x4391),f3(x4391))
% 2.56/2.91 [440]P8(f60(f90(x4401,a2)),x4401)
% 2.56/2.91 [449]E(f67(f3(x4491),x4491,x4491),f68(f90(x4491,a2)))
% 2.56/2.91 [454]P14(f68(f90(x4541,a2)),f3(x4541),x4541)
% 2.56/2.91 [571]~E(f68(f90(x5711,a2)),f60(f90(x5711,a2)))
% 2.56/2.91 [577]~P83(f85(f85(f50(a1),x5771),f4(a1)))
% 2.56/2.91 [441]E(f5(f60(f90(x4411,a2)),x4411),f4(a1))
% 2.56/2.91 [463]E(f85(f49(f90(x4631,a2)),f60(f90(x4631,a2))),f68(f90(x4631,a2)))
% 2.56/2.91 [464]E(f85(f49(f90(x4641,a2)),f68(f90(x4641,a2))),f60(f90(x4641,a2)))
% 2.56/2.91 [476]E(f67(f76(f3(x4761),x4761,x4761),x4761,x4761),f68(f90(x4761,a2)))
% 2.56/2.91 [575]~P83(f85(f85(f50(a1),x5751),x5751))
% 2.56/2.91 [583]~P83(f85(f85(f50(a1),f4(a1)),f5(f60(f90(x5831,a2)),x5831)))
% 2.56/2.91 [430]P6(f73(x4301,x4302),x4302)
% 2.56/2.91 [431]P16(f74(x4311,x4312),x4312)
% 2.56/2.91 [432]P7(f73(x4321,x4322),x4322)
% 2.56/2.91 [443]P20(x4431,x4431,f90(x4432,a2))
% 2.56/2.91 [446]P14(x4461,f73(x4461,x4462),x4462)
% 2.56/2.91 [447]P13(f73(x4471,x4472),x4472,x4472)
% 2.56/2.91 [435]E(f75(f75(x4351,x4352),x4352),f75(x4351,x4352))
% 2.56/2.91 [444]E(f61(x4441,x4441,f90(x4442,a2)),x4441)
% 2.56/2.91 [445]E(f62(x4451,x4451,f90(x4452,a2)),x4451)
% 2.56/2.91 [448]E(f67(f73(x4481,x4482),x4482,x4482),x4481)
% 2.56/2.91 [450]E(f76(f73(x4501,x4502),x4502,x4502),f73(x4501,x4502))
% 2.56/2.91 [452]P17(f60(f90(x4521,a2)),x4522,x4521)
% 2.56/2.91 [453]E(f67(f75(x4531,x4532),x4532,x4532),f68(f90(x4532,a2)))
% 2.56/2.91 [455]P20(x4551,f68(f90(x4552,a2)),f90(x4552,a2))
% 2.56/2.91 [456]P20(f60(f90(x4561,a2)),x4562,f90(x4561,a2))
% 2.56/2.91 [457]E(f61(x4571,f68(f90(x4572,a2)),f90(x4572,a2)),x4571)
% 2.56/2.91 [458]E(f62(x4581,f60(f90(x4582,a2)),f90(x4582,a2)),x4581)
% 2.56/2.91 [459]E(f61(f68(f90(x4591,a2)),x4592,f90(x4591,a2)),x4592)
% 2.56/2.91 [460]E(f62(f60(f90(x4601,a2)),x4602,f90(x4601,a2)),x4602)
% 2.56/2.91 [461]P14(f68(f90(x4611,a2)),f75(x4612,x4611),x4611)
% 2.56/2.91 [467]E(f61(x4671,f60(f90(x4672,a2)),f90(x4672,a2)),f60(f90(x4672,a2)))
% 2.56/2.91 [468]E(f62(x4681,f68(f90(x4682,a2)),f90(x4682,a2)),f68(f90(x4682,a2)))
% 2.56/2.91 [469]E(f61(f60(f90(x4691,a2)),x4692,f90(x4691,a2)),f60(f90(x4691,a2)))
% 2.56/2.91 [470]E(f62(f68(f90(x4701,a2)),x4702,f90(x4701,a2)),f68(f90(x4701,a2)))
% 2.56/2.91 [477]E(f76(f75(x4771,x4772),x4772,x4772),f75(f76(x4771,x4772,x4772),x4772))
% 2.56/2.91 [486]E(f61(x4861,f85(f49(f90(x4862,a2)),x4861),f90(x4862,a2)),f60(f90(x4862,a2)))
% 2.56/2.91 [487]E(f62(x4871,f85(f49(f90(x4872,a2)),x4871),f90(x4872,a2)),f68(f90(x4872,a2)))
% 2.56/2.91 [488]E(f61(f85(f49(f90(x4881,a2)),x4882),x4882,f90(x4881,a2)),f60(f90(x4881,a2)))
% 2.56/2.91 [489]E(f62(f85(f49(f90(x4891,a2)),x4892),x4892,f90(x4891,a2)),f68(f90(x4891,a2)))
% 2.56/2.91 [492]E(f77(f3(x4921),x4922,x4921,x4921),x4922)
% 2.56/2.91 [534]E(f80(f75(x5341,x5342),f75(x5341,x5342),x5342,x5342,x5342),f75(x5341,x5342))
% 2.56/2.91 [548]P83(f85(f85(f86(f91(x5481,x5481)),f69(x5482,x5482,x5481,x5481)),f3(x5481)))
% 2.56/2.91 [554]E(f80(f75(x5541,x5542),x5541,x5542,x5542,x5542),f80(x5541,f75(x5541,x5542),x5542,x5542,x5542))
% 2.56/2.91 [451]P83(f85(f85(f83(x4511),x4512),x4512))
% 2.56/2.91 [462]P83(f85(f68(f90(x4621,a2)),x4622))
% 2.56/2.91 [472]E(f62(f75(x4721,x4722),f3(x4722),f90(f91(x4722,x4722),a2)),f75(x4721,x4722))
% 2.56/2.91 [479]P83(f85(f85(f86(x4791),x4792),f68(f90(x4791,a2))))
% 2.56/2.91 [480]E(f67(f76(f73(x4801,x4802),x4802,x4802),x4802,x4802),x4801)
% 2.56/2.91 [490]E(f67(f76(f75(x4901,x4902),x4902,x4902),x4902,x4902),f68(f90(x4902,a2)))
% 2.56/2.91 [506]P14(f68(f90(x5061,a2)),f62(x5062,f3(x5061),f90(f91(x5061,x5061),a2)),x5061)
% 2.56/2.91 [514]P6(f62(x5141,f76(x5141,x5142,x5142),f90(f91(x5142,x5142),a2)),x5142)
% 2.56/2.91 [535]E(f80(f75(x5351,x5352),f75(f75(x5351,x5352),x5352),x5352,x5352,x5352),f75(x5351,x5352))
% 2.56/2.91 [555]E(f75(f80(x5551,f75(x5551,x5552),x5552,x5552,x5552),x5552),f75(x5551,x5552))
% 2.56/2.91 [558]E(f67(f80(x5581,f75(x5581,x5582),x5582,x5582,x5582),x5582,x5582),f67(x5581,x5582,x5582))
% 2.56/2.91 [559]E(f62(f3(x5591),f80(f75(x5592,x5591),x5592,x5591,x5591,x5591),f90(f91(x5591,x5591),a2)),f75(x5592,x5591))
% 2.56/2.91 [561]E(f62(f80(x5611,f75(x5611,x5612),x5612,x5612,x5612),f3(x5612),f90(f91(x5612,x5612),a2)),f75(x5611,x5612))
% 2.56/2.91 [565]E(f80(f76(x5651,x5652,x5652),f75(f76(x5651,x5652,x5652),x5652),x5652,x5652,x5652),f76(f80(x5651,f75(x5651,x5652),x5652,x5652,x5652),x5652,x5652))
% 2.56/2.91 [570]E(f62(x5701,f80(f80(x5701,f75(x5701,x5702),x5702,x5702,x5702),x5701,x5702,x5702,x5702),f90(f91(x5702,x5702),a2)),f80(x5701,f75(x5701,x5702),x5702,x5702,x5702))
% 2.56/2.91 [579]~P83(f85(f60(f90(x5791,a2)),x5792))
% 2.56/2.91 [582]~P83(f85(f85(f86(x5821),x5822),f60(f90(x5821,a2))))
% 2.56/2.91 [475]E(f85(f49(f90(x4751,a2)),f85(f49(f90(x4751,a2)),x4752)),x4752)
% 2.56/2.91 [493]E(f75(f62(x4931,f3(x4932),f90(f91(x4932,x4932),a2)),x4932),f75(x4931,x4932))
% 2.56/2.91 [566]E(f67(f76(f80(x5661,f75(x5661,x5662),x5662,x5662,x5662),x5662,x5662),x5662,x5662),f67(f76(x5661,x5662,x5662),x5662,x5662))
% 2.56/2.91 [545]E(f80(f62(x5451,f3(x5452),f90(f91(x5452,x5452),a2)),f75(f62(x5451,f3(x5452),f90(f91(x5452,x5452),a2)),x5452),x5452,x5452,x5452),f75(x5451,x5452))
% 2.56/2.91 [474]P20(x4741,f78(x4742,x4741,x4743),f90(x4743,a2))
% 2.56/2.91 [465]E(f61(x4651,x4652,f90(x4653,a2)),f61(x4652,x4651,f90(x4653,a2)))
% 2.56/2.91 [466]E(f62(x4661,x4662,f90(x4663,a2)),f62(x4662,x4661,f90(x4663,a2)))
% 2.56/2.91 [471]E(f76(f76(x4711,x4712,x4713),x4713,x4712),x4711)
% 2.56/2.91 [481]E(f78(x4811,f78(x4811,x4812,x4813),x4813),f78(x4811,x4812,x4813))
% 2.56/2.91 [482]P20(x4821,f62(x4822,x4821,f90(x4823,a2)),f90(x4823,a2))
% 2.56/2.91 [483]P20(x4831,f62(x4831,x4832,f90(x4833,a2)),f90(x4833,a2))
% 2.56/2.91 [484]P20(f61(x4841,x4842,f90(x4843,a2)),x4842,f90(x4843,a2))
% 2.56/2.91 [485]P20(f61(x4851,x4852,f90(x4853,a2)),x4851,f90(x4853,a2))
% 2.56/2.91 [491]P83(f85(f78(x4911,x4912,x4913),x4911))
% 2.56/2.91 [494]E(f61(x4941,f61(x4941,x4942,f90(x4943,a2)),f90(x4943,a2)),f61(x4941,x4942,f90(x4943,a2)))
% 2.56/2.91 [495]E(f62(x4951,f62(x4951,x4952,f90(x4953,a2)),f90(x4953,a2)),f62(x4951,x4952,f90(x4953,a2)))
% 2.56/2.91 [498]P83(f85(f85(f86(x4981),x4982),f78(x4982,x4983,x4981)))
% 2.56/2.91 [503]E(f62(f78(x5031,f60(f90(x5032,a2)),x5032),x5033,f90(x5032,a2)),f78(x5031,x5033,x5032))
% 2.56/2.91 [504]E(f77(f73(x5041,x5042),x5043,x5042,x5042),f61(x5041,x5043,f90(x5042,a2)))
% 2.56/2.91 [532]E(f80(x5321,f3(x5322),x5323,x5322,x5322),x5321)
% 2.56/2.91 [533]E(f80(f3(x5331),x5332,x5331,x5331,x5333),x5332)
% 2.56/2.91 [550]P83(f85(f85(f86(f91(x5501,x5501)),f69(x5502,x5502,x5501,x5501)),f75(x5503,x5501)))
% 2.56/2.91 [572]~E(f78(x5721,x5722,x5723),f60(f90(x5723,a2)))
% 2.56/2.91 [573]~E(f60(f90(x5731,a2)),f78(x5732,x5733,x5731))
% 2.56/2.91 [500]E(f77(x5001,f60(f90(x5002,a2)),x5002,x5003),f60(f90(x5003,a2)))
% 2.56/2.91 [501]E(f81(x5011,f60(f90(x5012,a2)),x5013,x5012),f60(f90(x5013,a2)))
% 2.56/2.91 [502]E(f81(x5021,f68(f90(x5022,a2)),x5023,x5022),f68(f90(x5023,a2)))
% 2.56/2.91 [509]E(f67(f76(f76(x5091,x5092,x5093),x5093,x5092),x5092,x5093),f67(x5091,x5092,x5093))
% 2.56/2.91 [518]E(f62(f85(f49(f90(x5181,a2)),x5182),f85(f49(f90(x5181,a2)),x5183),f90(x5181,a2)),f85(f49(f90(x5181,a2)),f61(x5182,x5183,f90(x5181,a2))))
% 2.56/2.91 [519]E(f61(f85(f49(f90(x5191,a2)),x5192),f85(f49(f90(x5191,a2)),x5193),f90(x5191,a2)),f85(f49(f90(x5191,a2)),f62(x5192,x5193,f90(x5191,a2))))
% 2.56/2.91 [584]~P83(f85(f85(f86(f91(a87,a87)),f69(x5841,x5842,a87,a87)),f85(f85(a8,x5843),x5841)))
% 2.56/2.91 [585]~P83(f85(f85(f86(f91(a87,a87)),f69(x5851,x5852,a87,a87)),f85(f85(a9,x5853),x5852)))
% 2.56/2.91 [525]E(f75(f62(f75(x5251,x5252),f75(x5253,x5252),f90(f91(x5252,x5252),a2)),x5252),f75(f62(x5251,x5253,f90(f91(x5252,x5252),a2)),x5252))
% 2.56/2.91 [529]P20(f62(f75(x5291,x5292),f75(x5293,x5292),f90(f91(x5292,x5292),a2)),f75(f62(x5291,x5293,f90(f91(x5292,x5292),a2)),x5292),f90(f91(x5292,x5292),a2))
% 2.56/2.91 [499]E(f78(x4991,f78(x4992,x4993,x4994),x4994),f78(x4992,f78(x4991,x4993,x4994),x4994))
% 2.56/2.91 [510]E(f61(x5101,f61(x5102,x5103,f90(x5104,a2)),f90(x5104,a2)),f61(x5102,f61(x5101,x5103,f90(x5104,a2)),f90(x5104,a2)))
% 2.56/2.91 [511]E(f62(x5111,f62(x5112,x5113,f90(x5114,a2)),f90(x5114,a2)),f62(x5112,f62(x5111,x5113,f90(x5114,a2)),f90(x5114,a2)))
% 2.56/2.91 [512]E(f61(f61(x5121,x5122,f90(x5123,a2)),x5124,f90(x5123,a2)),f61(x5121,f61(x5122,x5124,f90(x5123,a2)),f90(x5123,a2)))
% 2.56/2.91 [513]E(f62(f62(x5131,x5132,f90(x5133,a2)),x5134,f90(x5133,a2)),f62(x5131,f62(x5132,x5134,f90(x5133,a2)),f90(x5133,a2)))
% 2.56/2.91 [521]E(f62(f61(x5211,x5212,f90(x5213,a2)),f61(x5211,x5214,f90(x5213,a2)),f90(x5213,a2)),f61(x5211,f62(x5212,x5214,f90(x5213,a2)),f90(x5213,a2)))
% 2.56/2.91 [522]E(f61(f62(x5221,x5222,f90(x5223,a2)),f62(x5221,x5224,f90(x5223,a2)),f90(x5223,a2)),f62(x5221,f61(x5222,x5224,f90(x5223,a2)),f90(x5223,a2)))
% 2.56/2.91 [523]E(f62(f61(x5231,x5232,f90(x5233,a2)),f61(x5234,x5232,f90(x5233,a2)),f90(x5233,a2)),f61(f62(x5231,x5234,f90(x5233,a2)),x5232,f90(x5233,a2)))
% 2.56/2.91 [524]E(f61(f62(x5241,x5242,f90(x5243,a2)),f62(x5244,x5242,f90(x5243,a2)),f90(x5243,a2)),f62(f61(x5241,x5244,f90(x5243,a2)),x5242,f90(x5243,a2)))
% 2.56/2.91 [527]E(f76(f79(x5271,x5272,x5273,x5274),x5274,x5274),f79(f76(x5271,x5273,x5273),x5272,x5273,x5274))
% 2.56/2.91 [544]E(f62(f62(f61(x5441,x5442,f90(x5443,a2)),f61(x5442,x5444,f90(x5443,a2)),f90(x5443,a2)),f61(x5444,x5441,f90(x5443,a2)),f90(x5443,a2)),f61(f61(f62(x5441,x5442,f90(x5443,a2)),f62(x5442,x5444,f90(x5443,a2)),f90(x5443,a2)),f62(x5444,x5441,f90(x5443,a2)),f90(x5443,a2)))
% 2.56/2.91 [507]E(f78(x5071,f62(x5072,x5073,f90(x5074,a2)),x5074),f62(x5072,f78(x5071,x5073,x5074),f90(x5074,a2)))
% 2.56/2.91 [508]E(f78(x5081,f62(x5082,x5083,f90(x5084,a2)),x5084),f62(f78(x5081,x5082,x5084),x5083,f90(x5084,a2)))
% 2.56/2.91 [515]E(f61(f78(x5151,x5152,x5153),f78(x5151,x5154,x5153),f90(x5153,a2)),f78(x5151,f61(x5152,x5154,f90(x5153,a2)),x5153))
% 2.56/2.91 [520]E(f62(f67(x5201,x5202,x5203),f67(x5204,x5202,x5203),f90(x5202,a2)),f67(f62(x5201,x5204,f90(f91(x5202,x5203),a2)),x5202,x5203))
% 2.56/2.91 [526]E(f62(f76(x5261,x5262,x5263),f76(x5264,x5262,x5263),f90(f91(x5263,x5262),a2)),f76(f62(x5261,x5264,f90(f91(x5262,x5263),a2)),x5262,x5263))
% 2.56/2.91 [528]E(f81(x5281,f85(f49(f90(x5282,a2)),x5283),x5284,x5282),f85(f49(f90(x5284,a2)),f81(x5281,x5283,x5284,x5282)))
% 2.56/2.91 [537]E(f62(f67(f76(x5371,x5372,x5373),x5373,x5372),f67(f76(x5374,x5372,x5373),x5373,x5372),f90(x5373,a2)),f67(f76(f62(x5371,x5374,f90(f91(x5372,x5373),a2)),x5372,x5373),x5373,x5372))
% 2.56/2.91 [546]P83(f85(f85(f86(x5461),x5462),f81(x5463,f78(f85(x5463,x5462),f60(f90(x5464,a2)),x5464),x5461,x5464)))
% 2.56/2.91 [543]E(f62(f81(x5431,f78(x5432,f60(f90(x5433,a2)),x5433),x5434,x5433),f81(x5431,x5435,x5434,x5433),f90(x5434,a2)),f81(x5431,f78(x5432,x5435,x5433),x5434,x5433))
% 2.56/2.91 [564]E(f80(f76(x5641,x5642,x5643),f76(x5644,x5645,x5642),x5643,x5642,x5645),f76(f80(x5644,x5641,x5645,x5642,x5643),x5645,x5643))
% 2.56/2.91 [536]E(f67(f78(f69(x5361,x5362,x5363,x5364),x5365,f91(x5363,x5364)),x5363,x5364),f78(x5361,f67(x5365,x5363,x5364),x5363))
% 2.56/2.91 [538]E(f62(f77(x5381,x5382,x5383,x5384),f77(x5381,x5385,x5383,x5384),f90(x5384,a2)),f77(x5381,f62(x5382,x5385,f90(x5383,a2)),x5383,x5384))
% 2.56/2.91 [539]E(f61(f81(x5391,x5392,x5393,x5394),f81(x5391,x5395,x5393,x5394),f90(x5393,a2)),f81(x5391,f61(x5392,x5395,f90(x5394,a2)),x5393,x5394))
% 2.56/2.91 [540]E(f62(f81(x5401,x5402,x5403,x5404),f81(x5401,x5405,x5403,x5404),f90(x5403,a2)),f81(x5401,f62(x5402,x5405,f90(x5404,a2)),x5403,x5404))
% 2.56/2.91 [541]E(f62(f70(x5411,x5412,x5413,x5414),f70(x5415,x5412,x5413,x5414),f90(f91(x5413,x5414),a2)),f70(f62(x5411,x5415,f90(x5413,a2)),x5412,x5413,x5414))
% 2.56/2.91 [563]P20(f77(x5631,f61(x5632,x5633,f90(x5634,a2)),x5634,x5635),f61(f77(x5631,x5632,x5634,x5635),f77(x5631,x5633,x5634,x5635),f90(x5635,a2)),f90(x5635,a2))
% 2.56/2.91 [542]E(f62(f77(x5421,x5422,x5423,x5424),f77(x5425,x5422,x5423,x5424),f90(x5424,a2)),f77(f62(x5421,x5425,f90(f91(x5423,x5424),a2)),x5422,x5423,x5424))
% 2.56/2.91 [562]E(f67(f76(f78(f69(x5621,x5622,x5623,x5624),x5625,f91(x5623,x5624)),x5623,x5624),x5624,x5623),f78(x5622,f67(f76(x5625,x5623,x5624),x5624,x5623),x5624))
% 2.56/2.91 [552]E(f85(f7(x5521,x5522,x5523,x5524,x5525),x5526),f85(x5521,f85(x5522,x5526)))
% 2.56/2.91 [557]E(f85(f48(x5571,x5572,x5573,x5574,x5575),x5576),f85(f85(x5571,x5576),f85(x5572,x5576)))
% 2.56/2.91 [531]E(f85(f85(f6(x5311,x5312,x5313,x5314),x5315),x5316),f85(f85(x5311,x5316),x5315))
% 2.56/2.91 [567]E(f62(f80(x5671,x5672,x5673,x5674,x5675),f80(x5671,x5676,x5673,x5674,x5675),f90(f91(x5673,x5675),a2)),f80(x5671,f62(x5672,x5676,f90(f91(x5674,x5675),a2)),x5673,x5674,x5675))
% 2.56/2.91 [568]E(f62(f80(x5681,x5682,x5683,x5684,x5685),f80(x5686,x5682,x5683,x5684,x5685),f90(f91(x5683,x5685),a2)),f80(f62(x5681,x5686,f90(f91(x5683,x5684),a2)),x5682,x5683,x5684,x5685))
% 2.56/2.91 [569]E(f80(f80(x5691,x5692,x5693,x5694,x5695),x5696,x5693,x5695,x5697),f80(x5691,f80(x5692,x5696,x5694,x5695,x5697),x5693,x5694,x5697))
% 2.56/2.91 [1713]~P83(f85(f85(f86(f91(a87,a87)),f69(a98,a93,a87,a87)),f95(a94)))+P83(f85(f85(f86(f91(a87,a87)),f69(a98,a93,a87,a87)),f95(f48(f48(f7(f51(f90(f91(a87,a87),a2)),f85(f6(f7(f50(a1),a101,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f7(a8,a94,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a92),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f48(f48(f7(f51(f90(f91(a87,a87),a2)),f85(f6(f7(f83(a1),a101,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f85(f6(f7(a10,a94,f90(f91(a87,a87),a2),f90(a87,f90(a87,f90(f91(a87,a87),a2))),a89),a89,a87,f90(a87,f90(f91(a87,a87),a2))),a98),a89,a87,f90(f91(a87,a87),a2)),a92),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f85(f6(f7(a9,a94,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a92),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)))))
% 2.56/2.91 [1714]P83(f85(f85(f86(f91(a87,a87)),f69(a98,a93,a87,a87)),f95(a94)))+~P83(f85(f85(f86(f91(a87,a87)),f69(a98,a93,a87,a87)),f95(f48(f48(f7(f51(f90(f91(a87,a87),a2)),f85(f6(f7(f50(a1),a101,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f7(a8,a94,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a92),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f48(f48(f7(f51(f90(f91(a87,a87),a2)),f85(f6(f7(f83(a1),a101,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f85(f6(f7(a10,a94,f90(f91(a87,a87),a2),f90(a87,f90(a87,f90(f91(a87,a87),a2))),a89),a89,a87,f90(a87,f90(f91(a87,a87),a2))),a98),a89,a87,f90(f91(a87,a87),a2)),a92),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f85(f6(f7(a9,a94,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a92),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)))))
% 2.56/2.91 [1715]P83(f85(f85(f86(f91(a87,a87)),f69(a92,a93,a87,a87)),f95(f48(f48(f7(f51(f90(f91(a87,a87),a2)),f85(f6(f7(f50(a1),a101,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f7(a8,a94,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a92),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f48(f48(f7(f51(f90(f91(a87,a87),a2)),f85(f6(f7(f83(a1),a101,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f85(f6(f7(a10,a94,f90(f91(a87,a87),a2),f90(a87,f90(a87,f90(f91(a87,a87),a2))),a89),a89,a87,f90(a87,f90(f91(a87,a87),a2))),a98),a89,a87,f90(f91(a87,a87),a2)),a92),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f85(f6(f7(a9,a94,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a92),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)))))+~P83(f85(f85(f86(f91(a87,a87)),f69(a99,a100,a87,a87)),f95(f85(f6(f85(f6(f7(f51(f90(f91(a87,a87),a2)),f85(f6(f7(f50(a1),a101,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a96),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)),a97))))
% 2.56/2.91 [590]~P80(x5901)+~E(f54(x5901),f4(x5901))
% 2.56/2.91 [677]~P56(x6771)+P20(f4(x6771),f54(x6771),x6771)
% 2.56/2.91 [694]E(x6941,f4(a1))+~P20(x6941,f4(a1),a1)
% 2.56/2.91 [727]~P56(x7271)+~P20(f54(x7271),f4(x7271),x7271)
% 2.56/2.91 [593]~P82(x5931)+E(f57(f4(x5931),x5931),f4(x5931))
% 2.56/2.91 [594]~P66(x5941)+E(f57(f4(x5941),x5941),f4(x5941))
% 2.56/2.91 [595]~P81(x5951)+E(f85(f63(x5951),f4(a1)),f4(x5951))
% 2.56/2.91 [609]~P43(x6091)+E(f85(f49(x6091),f4(x6091)),f4(x6091))
% 2.56/2.91 [610]~P38(x6101)+E(f85(f49(x6101),f4(x6101)),f4(x6101))
% 2.56/2.91 [611]~P4(x6111)+E(f85(f49(x6111),f60(x6111)),f68(x6111))
% 2.56/2.91 [612]~P4(x6121)+E(f85(f49(x6121),f68(x6121)),f60(x6121))
% 2.56/2.91 [689]~P39(x6891)+E(f85(f85(f58(x6891),f4(x6891)),f4(x6891)),f4(x6891))
% 2.56/2.91 [759]~P56(x7591)+P83(f85(f85(f50(x7591),f4(x7591)),f54(x7591)))
% 2.56/2.91 [886]~P56(x8861)+~P83(f85(f85(f50(x8861),f54(x8861)),f4(x8861)))
% 2.56/2.91 [721]E(x7211,f4(a1))+P83(f85(f85(f50(a1),f4(a1)),x7211))
% 2.56/2.91 [1107]~P56(x11071)+P83(f85(f85(f50(x11071),f4(x11071)),f85(f85(f58(x11071),f54(x11071)),f54(x11071))))
% 2.56/2.91 [1192]~P68(x11921)+E(f85(f85(f58(x11921),f85(f85(f59(x11921),f4(x11921)),f4(x11921))),f85(f85(f59(x11921),f4(x11921)),f4(x11921))),f4(x11921))
% 2.56/2.91 [1380]~P68(x13801)+P20(f85(f85(f58(x13801),f85(f85(f59(x13801),f4(x13801)),f4(x13801))),f85(f85(f59(x13801),f4(x13801)),f4(x13801))),f4(x13801),x13801)
% 2.56/2.91 [1174]~P8(f68(f90(x11741,a2)),x11741)+P83(f85(f85(f50(a1),f4(a1)),f5(f68(f90(x11741,a2)),x11741)))
% 2.56/2.91 [1520]~P68(x15201)+~P83(f85(f85(f50(x15201),f4(x15201)),f85(f85(f58(x15201),f85(f85(f59(x15201),f4(x15201)),f4(x15201))),f85(f85(f59(x15201),f4(x15201)),f4(x15201)))))
% 2.56/2.91 [1712]~P20(x17121,a102,a1)+P83(f85(f85(f86(f91(a87,a87)),f69(a99,a100,a87,a87)),f95(f85(f6(f85(f6(f7(f51(f90(f91(a87,a87),a2)),f85(f6(f7(f50(a1),a101,a1,f90(a1,a2),a89),a89,a1,a2),x17121),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a96),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)),a97))))
% 2.56/2.91 [591]~P5(x5912)+P8(x5911,x5912)
% 2.56/2.91 [596]~P16(x5961,x5962)+P18(x5961,x5962)
% 2.56/2.91 [621]~P50(x6212)+P20(x6211,x6211,x6212)
% 2.56/2.91 [622]~P52(x6222)+P20(x6221,x6221,x6222)
% 2.56/2.91 [623]~P1(x6232)+P19(x6231,x6231,x6232)
% 2.56/2.91 [719]P20(x7192,x7191,a1)+P20(x7191,x7192,a1)
% 2.56/2.91 [592]P8(x5921,x5922)+E(f5(x5921,x5922),f4(a1))
% 2.56/2.91 [597]~P3(x5972)+P3(f90(x5971,x5972))
% 2.56/2.91 [598]~P45(x5982)+P45(f90(x5981,x5982))
% 2.56/2.91 [599]~P23(x5992)+P23(f90(x5991,x5992))
% 2.56/2.91 [600]~P23(x6002)+P25(f90(x6001,x6002))
% 2.56/2.91 [601]~P4(x6012)+P4(f90(x6011,x6012))
% 2.56/2.91 [602]~P24(x6022)+P24(f90(x6021,x6022))
% 2.56/2.91 [603]~P23(x6032)+P26(f90(x6031,x6032))
% 2.56/2.91 [604]~P50(x6042)+P50(f90(x6041,x6042))
% 2.56/2.91 [605]~P51(x6052)+P51(f90(x6051,x6052))
% 2.56/2.91 [606]~P52(x6062)+P52(f90(x6061,x6062))
% 2.56/2.91 [607]~P21(x6072)+P21(f90(x6071,x6072))
% 2.56/2.91 [624]~P25(x6242)+E(f61(x6241,x6241,x6242),x6241)
% 2.56/2.91 [625]~P26(x6252)+E(f62(x6251,x6251,x6252),x6251)
% 2.56/2.91 [626]~P6(x6261,x6262)+P6(f75(x6261,x6262),x6262)
% 2.56/2.91 [627]~P18(x6271,x6272)+P7(f75(x6271,x6272),x6272)
% 2.56/2.91 [643]~P51(x6432)+P20(x6431,f68(x6432),x6432)
% 2.56/2.91 [644]~P1(x6442)+P19(x6441,f4(x6442),x6442)
% 2.56/2.91 [645]~P45(x6451)+P20(f60(x6451),x6452,x6451)
% 2.56/2.91 [646]~P1(x6461)+P19(f54(x6461),x6462,x6461)
% 2.56/2.91 [688]~P6(x6881,x6882)+E(f76(x6881,x6882,x6882),x6881)
% 2.56/2.91 [701]P6(x7011,x7012)+~E(f76(x7011,x7012,x7012),x7011)
% 2.56/2.91 [743]~P6(x7431,x7432)+P6(f76(x7431,x7432,x7432),x7432)
% 2.56/2.91 [746]~P18(x7461,x7462)+P18(f76(x7461,x7462,x7462),x7462)
% 2.56/2.91 [747]~P7(x7471,x7472)+P7(f76(x7471,x7472,x7472),x7472)
% 2.56/2.91 [843]P6(x8431,x8432)+~P6(f76(x8431,x8432,x8432),x8432)
% 2.56/2.91 [845]P18(x8451,x8452)+~P18(f76(x8451,x8452,x8452),x8452)
% 2.56/2.91 [846]P7(x8461,x8462)+~P7(f76(x8461,x8462,x8462),x8462)
% 2.56/2.91 [1502]~P16(x15021,x15022)+P16(f80(x15021,x15021,x15022,x15022,x15022),x15022)
% 2.56/2.91 [1541]P16(x15411,x15412)+~P16(f80(x15411,x15411,x15412,x15412,x15412),x15412)
% 2.56/2.91 [620]~P66(x6202)+E(f57(f57(x6201,x6202),x6202),f57(x6201,x6202))
% 2.56/2.91 [636]~P62(x6361)+E(f85(f85(f56(x6361),x6362),f54(x6361)),x6362)
% 2.56/2.91 [637]~P1(x6371)+E(f85(f85(f58(x6371),x6372),f4(x6371)),x6372)
% 2.56/2.91 [638]~P2(x6381)+E(f85(f85(f58(x6381),x6382),f4(x6381)),x6382)
% 2.56/2.91 [639]~P37(x6391)+E(f85(f85(f58(x6391),x6392),f4(x6391)),x6392)
% 2.56/2.91 [640]~P1(x6401)+E(f85(f85(f59(x6401),x6402),f54(x6401)),x6402)
% 2.56/2.91 [641]~P35(x6411)+E(f85(f85(f59(x6411),x6412),f54(x6411)),x6412)
% 2.56/2.91 [642]~P38(x6421)+E(f85(f85(f55(x6421),x6422),f4(x6421)),x6422)
% 2.56/2.91 [647]~P3(x6472)+E(f61(x6471,f68(x6472),x6472),x6471)
% 2.56/2.91 [648]~P3(x6482)+E(f62(x6481,f60(x6482),x6482),x6481)
% 2.56/2.91 [649]~P3(x6491)+E(f61(f68(x6491),x6492,x6491),x6492)
% 2.56/2.91 [650]~P3(x6501)+E(f62(f60(x6501),x6502,x6501),x6502)
% 2.56/2.91 [651]~P1(x6512)+E(f71(x6511,f4(a1),x6512),f54(x6512))
% 2.56/2.91 [652]~P48(x6522)+E(f71(x6521,f4(a1),x6522),f54(x6522))
% 2.56/2.91 [655]~P1(x6551)+E(f85(f85(f59(x6551),x6552),f4(x6551)),f4(x6551))
% 2.56/2.91 [656]~P76(x6561)+E(f85(f85(f59(x6561),x6562),f4(x6561)),f4(x6561))
% 2.56/2.91 [657]~P60(x6571)+E(f85(f85(f59(x6571),x6572),f4(x6571)),f4(x6571))
% 2.56/2.91 [659]~P3(x6592)+E(f61(x6591,f60(x6592),x6592),f60(x6592))
% 2.56/2.91 [660]~P3(x6602)+E(f62(x6601,f68(x6602),x6602),f68(x6602))
% 2.56/2.91 [661]~P3(x6611)+E(f61(f60(x6611),x6612,x6611),f60(x6611))
% 2.56/2.91 [662]~P3(x6621)+E(f62(f68(x6621),x6622,x6621),f68(x6621))
% 2.56/2.91 [663]~P35(x6631)+E(f71(f54(x6631),x6632,x6631),f54(x6631))
% 2.56/2.91 [715]~P56(x7151)+P20(f4(x7151),f85(f63(x7151),x7152),x7151)
% 2.56/2.91 [885]~P20(x8851,f60(f90(x8852,a2)),f90(x8852,a2))+E(x8851,f60(f90(x8852,a2)))
% 2.56/2.91 [925]P8(x9251,x9252)+~P83(f85(f85(f50(a1),f4(a1)),f5(x9251,x9252)))
% 2.56/2.91 [1125]P16(x11251,x11252)+~P83(f85(f85(f86(x11252),f11(x11251,x11252)),f82(x11251,x11252)))
% 2.56/2.91 [1126]P16(x11261,x11262)+~P83(f85(f85(f86(x11262),f12(x11261,x11262)),f82(x11261,x11262)))
% 2.56/2.91 [1133]~P56(x11331)+~P83(f85(f85(f50(x11331),f85(f63(x11331),x11332)),f4(x11331)))
% 2.56/2.91 [1332]E(f69(f14(x13321,x13322),f14(x13321,x13322),x13322,x13322),x13321)+~P83(f85(f85(f86(f91(x13322,x13322)),x13321),f3(x13322)))
% 2.56/2.91 [1337]~P68(x13371)+~P83(f85(f85(f50(x13371),f85(f85(f59(x13371),x13372),x13372)),f4(x13371)))
% 2.56/2.91 [1495]P9(f67(x14951,x14952,x14952),x14951,x14952)+~E(f80(f76(x14951,x14952,x14952),x14951,x14952,x14952,x14952),x14951)
% 2.56/2.91 [1496]E(x14961,x14962)+P83(f85(f85(f86(f91(a87,a87)),f69(x14961,x14962,a87,a87)),f105(x14961,x14962)))
% 2.56/2.91 [1504]~P6(x15041,x15042)+P6(f80(x15041,f75(x15041,x15042),x15042,x15042,x15042),x15042)
% 2.56/2.91 [1505]~P16(x15051,x15052)+P16(f80(x15051,f75(x15051,x15052),x15052,x15052,x15052),x15052)
% 2.56/2.91 [619]~P32(x6191)+E(f85(f85(f59(x6191),x6192),x6192),x6192)
% 2.56/2.91 [628]~P29(x6281)+E(f85(f85(f55(x6281),x6282),x6282),f4(x6281))
% 2.56/2.91 [630]~P38(x6301)+E(f85(f85(f55(x6301),x6302),x6302),f4(x6301))
% 2.56/2.91 [634]~P38(x6341)+E(f85(f49(x6341),f85(f49(x6341),x6342)),x6342)
% 2.56/2.91 [635]~P4(x6351)+E(f85(f49(x6351),f85(f49(x6351),x6352)),x6352)
% 2.56/2.91 [665]~P1(x6651)+E(f85(f85(f58(x6651),f4(x6651)),x6652),x6652)
% 2.56/2.91 [666]~P2(x6661)+E(f85(f85(f58(x6661),f4(x6661)),x6662),x6662)
% 2.56/2.91 [667]~P37(x6671)+E(f85(f85(f58(x6671),f4(x6671)),x6672),x6672)
% 2.56/2.91 [669]~P1(x6691)+E(f85(f85(f59(x6691),f54(x6691)),x6692),x6692)
% 2.56/2.91 [670]~P35(x6701)+E(f85(f85(f59(x6701),f54(x6701)),x6702),x6702)
% 2.56/2.91 [671]~P36(x6711)+E(f85(f85(f59(x6711),f54(x6711)),x6712),x6712)
% 2.56/2.91 [678]~P62(x6781)+E(f85(f85(f56(x6781),f4(x6781)),x6782),f4(x6781))
% 2.56/2.91 [680]~P1(x6801)+E(f85(f85(f59(x6801),f4(x6801)),x6802),f4(x6801))
% 2.56/2.91 [681]~P76(x6811)+E(f85(f85(f59(x6811),f4(x6811)),x6812),f4(x6811))
% 2.56/2.91 [682]~P60(x6821)+E(f85(f85(f59(x6821),f4(x6821)),x6822),f4(x6821))
% 2.56/2.91 [693]~P38(x6931)+E(f85(f85(f55(x6931),f4(x6931)),x6932),f85(f49(x6931),x6932))
% 2.56/2.91 [700]~P38(x7001)+E(f85(f85(f58(x7001),x7002),f85(f49(x7001),x7002)),f4(x7001))
% 2.56/2.91 [704]~P4(x7042)+E(f61(x7041,f85(f49(x7042),x7041),x7042),f60(x7042))
% 2.56/2.91 [705]~P4(x7052)+E(f62(x7051,f85(f49(x7052),x7051),x7052),f68(x7052))
% 2.56/2.91 [706]~P4(x7061)+E(f61(f85(f49(x7061),x7062),x7062,x7061),f60(x7061))
% 2.56/2.91 [707]~P4(x7071)+E(f62(f85(f49(x7071),x7072),x7072,x7071),f68(x7071))
% 2.56/2.91 [787]~P68(x7871)+P20(f4(x7871),f85(f85(f59(x7871),x7872),x7872),x7871)
% 2.56/2.91 [793]~P49(x7931)+~P83(f85(f85(f50(x7931),x7932),x7932))
% 2.56/2.91 [794]~P50(x7941)+~P83(f85(f85(f50(x7941),x7942),x7942))
% 2.56/2.91 [795]~P52(x7951)+~P83(f85(f85(f50(x7951),x7952),x7952))
% 2.56/2.91 [832]P20(x8321,x8322,a1)+~P83(f85(f85(f50(a1),x8321),x8322))
% 2.56/2.91 [878]~P63(x8781)+E(f85(f85(f59(x8781),f85(f49(x8781),x8782)),f85(f49(x8781),x8782)),f85(f85(f59(x8781),x8782),x8782))
% 2.56/2.91 [961]~P7(x9611,x9612)+P7(f62(x9611,f3(x9612),f90(f91(x9612,x9612),a2)),x9612)
% 2.56/2.91 [1018]~P56(x10181)+P83(f85(f85(f50(x10181),x10182),f85(f85(f58(x10181),x10182),f54(x10181))))
% 2.56/2.91 [1033]~P20(x10331,f85(f49(f90(x10332,a2)),x10331),f90(x10332,a2))+E(x10331,f60(f90(x10332,a2)))
% 2.56/2.91 [1169]P7(x11691,x11692)+~P7(f62(x11691,f3(x11692),f90(f91(x11692,x11692),a2)),x11692)
% 2.56/2.91 [1584]~P16(f76(x15841,x15842,x15842),x15842)+P16(f76(f80(x15841,f75(x15841,x15842),x15842,x15842,x15842),x15842,x15842),x15842)
% 2.56/2.91 [739]~P29(x7391)+E(f85(f85(f58(x7391),f85(f49(x7391),x7392)),x7392),f4(x7391))
% 2.56/2.91 [741]~P38(x7411)+E(f85(f85(f58(x7411),f85(f49(x7411),x7412)),x7412),f4(x7411))
% 2.56/2.91 [796]~P22(x7961)+E(f85(f85(f59(x7961),f85(f49(x7961),f54(x7961))),x7962),f85(f49(x7961),x7962))
% 2.56/2.91 [1087]~P1(x10871)+E(f85(f85(f58(x10871),x10872),x10872),f85(f85(f59(x10871),f85(f85(f58(x10871),f54(x10871)),f54(x10871))),x10872))
% 2.56/2.91 [1514]P15(x15141,x15142)+P83(f85(f85(f86(f91(x15142,x15142)),f69(f24(x15141,x15142),f24(x15141,x15142),x15142,x15142)),x15141))
% 2.56/2.91 [1562]P12(x15621,x15622)+~P83(f85(f85(f86(f91(x15622,x15622)),f69(f66(x15621,x15622),f66(x15621,x15622),x15622,x15622)),x15621))
% 2.56/2.91 [698]P6(x6981,x6982)+~P9(x6983,x6981,x6982)
% 2.56/2.91 [742]~P9(x7421,x7422,x7423)+P14(x7421,x7422,x7423)
% 2.56/2.91 [728]~P23(x7283)+E(f61(x7281,x7282,x7283),f61(x7282,x7281,x7283))
% 2.56/2.91 [729]~P25(x7293)+E(f61(x7291,x7292,x7293),f61(x7292,x7291,x7293))
% 2.56/2.91 [730]~P23(x7303)+E(f62(x7301,x7302,x7303),f62(x7302,x7301,x7303))
% 2.56/2.91 [731]~P26(x7313)+E(f62(x7311,x7312,x7313),f62(x7312,x7311,x7313))
% 2.56/2.91 [744]~P8(x7442,x7443)+P8(f78(x7441,x7442,x7443),x7443)
% 2.56/2.91 [745]~P16(x7452,x7453)+P16(f84(x7451,x7452,x7453),x7453)
% 2.56/2.91 [771]~P23(x7713)+P20(x7711,f62(x7712,x7711,x7713),x7713)
% 2.56/2.91 [772]~P26(x7723)+P20(x7721,f62(x7722,x7721,x7723),x7723)
% 2.56/2.91 [773]~P23(x7733)+P20(x7731,f62(x7731,x7732,x7733),x7733)
% 2.56/2.91 [774]~P26(x7743)+P20(x7741,f62(x7741,x7742,x7743),x7743)
% 2.56/2.91 [775]~P23(x7753)+P20(f61(x7751,x7752,x7753),x7752,x7753)
% 2.56/2.91 [776]~P25(x7763)+P20(f61(x7761,x7762,x7763),x7762,x7763)
% 2.56/2.91 [777]~P23(x7773)+P20(f61(x7771,x7772,x7773),x7771,x7773)
% 2.56/2.91 [778]~P25(x7783)+P20(f61(x7781,x7782,x7783),x7781,x7783)
% 2.56/2.91 [844]P8(x8441,x8442)+~P8(f78(x8443,x8441,x8442),x8442)
% 2.56/2.91 [906]~P14(x9061,x9062,x9063)+P14(x9061,f76(x9062,x9063,x9063),x9063)
% 2.56/2.91 [907]~P17(x9071,x9072,x9073)+P17(x9071,f76(x9072,x9073,x9073),x9073)
% 2.56/2.91 [963]P14(x9631,x9632,x9633)+~P14(x9631,f76(x9632,x9633,x9633),x9633)
% 2.56/2.91 [964]P17(x9641,x9642,x9643)+~P17(x9641,f76(x9642,x9643,x9643),x9643)
% 2.56/2.91 [783]~P23(x7833)+E(f61(x7831,f62(x7831,x7832,x7833),x7833),x7831)
% 2.56/2.91 [784]~P23(x7843)+E(f62(x7841,f61(x7841,x7842,x7843),x7843),x7841)
% 2.56/2.91 [801]~P16(x8013,x8011)+P83(f85(f85(f86(x8011),x8012),f82(x8013,x8011)))
% 2.56/2.91 [812]~P8(x8122,x8123)+P8(f61(x8121,x8122,f90(x8123,a2)),x8123)
% 2.56/2.91 [813]~P8(x8131,x8133)+P8(f61(x8131,x8132,f90(x8133,a2)),x8133)
% 2.56/2.91 [816]E(x8161,f60(f90(x8162,a2)))+~E(f62(x8163,x8161,f90(x8162,a2)),f60(f90(x8162,a2)))
% 2.56/2.91 [817]E(x8171,f60(f90(x8172,a2)))+~E(f62(x8171,x8173,f90(x8172,a2)),f60(f90(x8172,a2)))
% 2.56/2.91 [826]~P20(x8262,x8261,f90(x8263,a2))+E(f61(x8261,x8262,f90(x8263,a2)),x8262)
% 2.56/2.91 [827]~P20(x8271,x8272,f90(x8273,a2))+E(f61(x8271,x8272,f90(x8273,a2)),x8271)
% 2.56/2.91 [828]~P20(x8281,x8282,f90(x8283,a2))+E(f62(x8281,x8282,f90(x8283,a2)),x8282)
% 2.56/2.91 [829]~P20(x8292,x8291,f90(x8293,a2))+E(f62(x8291,x8292,f90(x8293,a2)),x8291)
% 2.56/2.91 [830]P20(x8301,x8302,f90(x8303,a2))+~E(f62(x8301,x8302,f90(x8303,a2)),x8302)
% 2.56/2.91 [862]~P23(x8623)+E(f61(x8621,f61(x8621,x8622,x8623),x8623),f61(x8621,x8622,x8623))
% 2.56/2.91 [863]~P25(x8633)+E(f61(x8631,f61(x8631,x8632,x8633),x8633),f61(x8631,x8632,x8633))
% 2.56/2.91 [864]~P23(x8643)+E(f62(x8641,f62(x8641,x8642,x8643),x8643),f62(x8641,x8642,x8643))
% 2.56/2.91 [865]~P26(x8653)+E(f62(x8651,f62(x8651,x8652,x8653),x8653),f62(x8651,x8652,x8653))
% 2.56/2.91 [945]P8(x9451,x9452)+~P8(f62(x9453,x9451,f90(x9452,a2)),x9452)
% 2.56/2.91 [946]P8(x9461,x9462)+~P8(f62(x9461,x9463,f90(x9462,a2)),x9462)
% 2.56/2.91 [953]~P63(x9531)+P19(f85(f85(f59(x9531),x9532),f4(x9531)),f85(f85(f59(x9531),x9533),f4(x9531)),x9531)
% 2.56/2.91 [1004]P20(f82(x10041,x10042),f82(x10043,x10042),f90(x10042,a2))+~P20(x10043,x10041,f90(f91(x10042,x10042),a2))
% 2.56/2.91 [1017]~P8(x10171,x10172)+P20(f5(x10171,x10172),f5(f78(x10173,x10171,x10172),x10172),a1)
% 2.56/2.91 [1075]~P20(x10751,x10753,f90(f91(x10752,x10752),a2))+P20(f75(x10751,x10752),f75(x10753,x10752),f90(f91(x10752,x10752),a2))
% 2.56/2.91 [1123]~P20(x11231,f75(x11233,x11232),f90(f91(x11232,x11232),a2))+P20(f75(x11231,x11232),f75(x11233,x11232),f90(f91(x11232,x11232),a2))
% 2.56/2.91 [1381]E(f69(f22(x13811,x13812,x13813),f22(x13811,x13812,x13813),x13813,x13813),x13812)+~P83(f85(f85(f86(f91(x13813,x13813)),x13812),f73(x13811,x13813)))
% 2.56/2.91 [1385]~P83(f85(f85(f86(x13851),f43(x13853,x13852,x13851)),f82(x13853,x13851)))+P83(f85(f85(f86(x13851),x13852),f82(x13853,x13851)))
% 2.56/2.91 [1386]~P83(f85(f85(f86(x13861),f23(x13863,x13862,x13861)),f82(x13863,x13861)))+P83(f85(f85(f86(x13861),x13862),f82(x13863,x13861)))
% 2.56/2.91 [1453]~P9(x14533,x14531,x14532)+E(f80(f76(x14531,x14532,x14532),x14531,x14532,x14532,x14532),x14531)
% 2.56/2.91 [1516]~P14(x15163,x15161,x15162)+P20(x15161,f80(f76(x15161,x15162,x15162),x15161,x15162,x15162,x15162),f90(f91(x15162,x15162),a2))
% 2.56/2.91 [1529]E(x15291,x15292)+~P83(f85(f85(f86(f91(x15293,x15293)),f69(x15291,x15292,x15293,x15293)),f3(x15293)))
% 2.56/2.91 [1571]~P68(x15711)+~P83(f85(f85(f50(x15711),f85(f85(f58(x15711),f85(f85(f59(x15711),x15712),x15712)),f85(f85(f59(x15711),x15713),x15713))),f4(x15711)))
% 2.56/2.91 [723]~P1(x7231)+E(f85(f85(f58(x7231),x7232),x7233),f85(f85(f58(x7231),x7233),x7232))
% 2.56/2.91 [724]~P2(x7241)+E(f85(f85(f58(x7241),x7242),x7243),f85(f85(f58(x7241),x7243),x7242))
% 2.56/2.91 [726]~P1(x7261)+E(f85(f85(f59(x7261),x7262),x7263),f85(f85(f59(x7261),x7263),x7262))
% 2.56/2.91 [754]~P22(x7541)+E(f85(f85(f58(x7541),x7542),f85(f49(x7541),x7543)),f85(f85(f55(x7541),x7542),x7543))
% 2.56/2.91 [756]~P29(x7561)+E(f85(f85(f58(x7561),x7562),f85(f49(x7561),x7563)),f85(f85(f55(x7561),x7562),x7563))
% 2.56/2.91 [757]~P38(x7571)+E(f85(f85(f58(x7571),x7572),f85(f49(x7571),x7573)),f85(f85(f55(x7571),x7572),x7573))
% 2.56/2.91 [758]~P38(x7581)+E(f85(f85(f55(x7581),x7582),f85(f49(x7581),x7583)),f85(f85(f58(x7581),x7582),x7583))
% 2.56/2.91 [760]~P4(x7602)+E(f61(x7601,f85(f49(x7602),x7603),x7602),f85(f85(f55(x7602),x7601),x7603))
% 2.56/2.91 [761]~P83(f85(x7613,x7612))+P83(f85(f85(f86(x7611),x7612),x7613))
% 2.56/2.91 [762]~P2(x7622)+E(f85(f85(f52(x7621,x7622),x7623),f60(f90(x7621,a2))),f4(x7622))
% 2.56/2.91 [765]~P1(x7652)+P19(x7651,f85(f85(f59(x7652),x7653),x7651),x7652)
% 2.56/2.91 [766]~P1(x7662)+P19(x7661,f85(f85(f59(x7662),x7661),x7663),x7662)
% 2.56/2.91 [767]~P57(x7672)+P19(x7671,f85(f85(f59(x7672),x7671),x7673),x7672)
% 2.56/2.91 [785]E(x7851,x7852)+~P83(f85(f85(f83(x7853),x7851),x7852))
% 2.56/2.91 [823]P83(f85(x8231,x8232))+~P83(f85(f85(f86(x8233),x8232),x8231))
% 2.56/2.91 [849]E(x8491,x8492)+~E(f85(f49(f90(x8493,a2)),x8491),f85(f49(f90(x8493,a2)),x8492))
% 2.56/2.91 [871]E(f78(x8711,x8712,x8713),x8712)+~P83(f85(f85(f86(x8713),x8711),x8712))
% 2.56/2.91 [877]~P78(x8771)+E(f85(f85(f59(x8771),f85(f49(x8771),x8772)),f85(f49(x8771),x8773)),f85(f85(f59(x8771),x8772),x8773))
% 2.56/2.91 [928]~P39(x9281)+E(f62(f85(f49(x9281),x9282),f85(f49(x9281),x9283),x9281),f85(f49(x9281),f61(x9282,x9283,x9281)))
% 2.56/2.91 [929]~P4(x9291)+E(f62(f85(f49(x9291),x9292),f85(f49(x9291),x9293),x9291),f85(f49(x9291),f61(x9292,x9293,x9291)))
% 2.56/2.91 [930]~P39(x9301)+E(f61(f85(f49(x9301),x9302),f85(f49(x9301),x9303),x9301),f85(f49(x9301),f62(x9302,x9303,x9301)))
% 2.56/2.91 [931]~P4(x9311)+E(f61(f85(f49(x9311),x9312),f85(f49(x9311),x9313),x9311),f85(f49(x9311),f62(x9312,x9313,x9311)))
% 2.56/2.91 [967]~P36(x9673)+E(f53(x9671,f60(f90(x9672,a2)),x9672,x9673),f54(x9673))
% 2.56/2.91 [973]~P63(x9731)+P19(f85(f85(f59(x9731),f4(x9731)),x9732),f85(f85(f59(x9731),f4(x9731)),x9733),x9731)
% 2.56/2.91 [1005]E(x10051,x10052)+~E(f78(x10051,f60(f90(x10053,a2)),x10053),f78(x10052,f60(f90(x10053,a2)),x10053))
% 2.56/2.91 [1067]~E(f61(x10671,x10673,f90(x10672,a2)),f60(f90(x10672,a2)))+P20(x10671,f85(f49(f90(x10672,a2)),x10673),f90(x10672,a2))
% 2.56/2.91 [1127]~P20(x11271,f85(f49(f90(x11273,a2)),x11272),f90(x11273,a2))+E(f61(x11271,x11272,f90(x11273,a2)),f60(f90(x11273,a2)))
% 2.56/2.91 [1131]~P39(x11311)+E(f85(f85(f58(x11311),f62(x11312,x11313,x11311)),f61(x11312,x11313,x11311)),f85(f85(f58(x11311),x11312),x11313))
% 2.56/2.91 [1132]~P35(x11321)+E(f85(f85(f59(x11321),f71(x11322,x11323,x11321)),x11322),f85(f85(f59(x11321),x11322),f71(x11322,x11323,x11321)))
% 2.56/2.91 [1171]~P20(x11713,x11712,f90(x11711,a2))+P20(f85(f49(f90(x11711,a2)),x11712),f85(f49(f90(x11711,a2)),x11713),f90(x11711,a2))
% 2.56/2.91 [1246]P20(x12461,x12462,f90(x12463,a2))+~P20(f85(f49(f90(x12463,a2)),x12462),f85(f49(f90(x12463,a2)),x12461),f90(x12463,a2))
% 2.56/2.91 [1278]~P79(x12781)+E(f85(f85(f59(x12781),f71(f85(f49(x12781),f54(x12781)),x12782,x12781)),f71(x12783,x12782,x12781)),f71(f85(f49(x12781),x12783),x12782,x12781))
% 2.56/2.91 [1405]~P83(f85(f85(f86(f91(x14051,x14051)),x14053),f73(x14052,x14051)))+P83(f85(f85(f86(x14051),f22(x14052,x14053,x14051)),x14052))
% 2.56/2.91 [1472]E(x14721,x14722)+~E(f85(f6(f86(x14723),x14723,f90(x14723,a2),a2),x14721),f85(f6(f86(x14723),x14723,f90(x14723,a2),a2),x14722))
% 2.56/2.91 [1497]~P12(x14973,x14971)+P83(f85(f85(f86(f91(x14971,x14971)),f69(x14972,x14972,x14971,x14971)),x14973))
% 2.56/2.91 [1499]E(x14991,x14992)+P83(f85(f85(f86(f91(a87,a87)),f69(x14991,x14992,a87,a87)),f85(f85(a8,x14993),x14992)))
% 2.56/2.91 [1500]E(x15001,x15002)+P83(f85(f85(f86(f91(a87,a87)),f69(x15001,x15002,a87,a87)),f85(f85(a9,x15003),x15001)))
% 2.56/2.91 [1503]~P20(x15032,x15033,f90(x15031,a2))+P20(f85(f6(f86(x15031),x15031,f90(x15031,a2),a2),x15032),f85(f6(f86(x15031),x15031,f90(x15031,a2),a2),x15033),f90(x15031,a2))
% 2.56/2.91 [1506]P83(f85(f85(f86(f91(x15061,x15061)),f69(x15062,x15062,x15061,x15061)),f73(x15063,x15061)))+~P83(f85(f85(f86(x15061),x15062),x15063))
% 2.56/2.91 [1530]~P16(x15301,x15302)+~P83(f85(f85(f86(f91(x15302,x15302)),f69(x15303,x15303,x15302,x15302)),x15301))
% 2.56/2.91 [1531]~P15(x15311,x15312)+~P83(f85(f85(f86(f91(x15312,x15312)),f69(x15313,x15313,x15312,x15312)),x15311))
% 2.56/2.91 [1535]P20(x15351,x15352,f90(x15353,a2))+~P20(f85(f6(f86(x15353),x15353,f90(x15353,a2),a2),x15351),f85(f6(f86(x15353),x15353,f90(x15353,a2),a2),x15352),f90(x15353,a2))
% 2.56/2.91 [1648]P83(f85(f85(f86(f91(x16481,x16481)),f69(f35(x16482,x16481),f35(x16482,x16481),x16481,x16481)),f80(x16482,f75(x16482,x16481),x16481,x16481,x16481)))+~P83(f85(f85(f86(f91(x16481,x16481)),f69(x16483,x16483,x16481,x16481)),x16482))
% 2.56/2.91 [1649]~P18(x16491,x16492)+~P83(f85(f85(f86(f91(x16492,x16492)),f69(x16493,x16493,x16492,x16492)),f80(x16491,f75(x16491,x16492),x16492,x16492,x16492)))
% 2.56/2.91 [1676]~P16(f62(x16761,x16763,f90(f91(x16762,x16762),a2)),x16762)+P16(f62(f62(f80(x16761,x16761,x16762,x16762,x16762),f80(x16763,x16761,x16762,x16762,x16762),f90(f91(x16762,x16762),a2)),x16763,f90(f91(x16762,x16762),a2)),x16762)
% 2.56/2.91 [1691]~P16(f62(f62(f80(x16911,x16911,x16913,x16913,x16913),f80(x16912,x16911,x16913,x16913,x16913),f90(f91(x16913,x16913),a2)),x16912,f90(f91(x16913,x16913),a2)),x16913)+P16(f62(x16911,x16912,f90(f91(x16913,x16913),a2)),x16913)
% 2.56/2.91 [802]~P29(x8021)+E(f85(f49(x8021),f85(f85(f55(x8021),x8022),x8023)),f85(f85(f55(x8021),x8023),x8022))
% 2.56/2.91 [854]~P32(x8541)+E(f85(f85(f59(x8541),x8542),f85(f85(f59(x8541),x8542),x8543)),f85(f85(f59(x8541),x8542),x8543))
% 2.56/2.91 [859]~P78(x8591)+E(f85(f85(f59(x8591),x8592),f85(f49(x8591),x8593)),f85(f49(x8591),f85(f85(f59(x8591),x8592),x8593)))
% 2.56/2.91 [876]~P78(x8761)+E(f85(f85(f59(x8761),f85(f49(x8761),x8762)),x8763),f85(f85(f59(x8761),x8762),f85(f49(x8761),x8763)))
% 2.56/2.91 [894]~P29(x8941)+E(f85(f85(f58(x8941),f85(f49(x8941),x8942)),f85(f85(f58(x8941),x8943),x8942)),x8943)
% 2.56/2.91 [895]~P38(x8951)+E(f85(f85(f58(x8951),f85(f49(x8951),x8952)),f85(f85(f58(x8951),x8952),x8953)),x8953)
% 2.56/2.91 [911]~P66(x9111)+E(f85(f85(f59(x9111),f57(x9112,x9111)),f57(x9113,x9111)),f57(f85(f85(f59(x9111),x9112),x9113),x9111))
% 2.56/2.91 [918]~P62(x9181)+E(f85(f85(f56(x9181),f85(f49(x9181),x9182)),x9183),f85(f49(x9181),f85(f85(f56(x9181),x9182),x9183)))
% 2.56/2.91 [919]~P78(x9191)+E(f85(f85(f59(x9191),f85(f49(x9191),x9192)),x9193),f85(f49(x9191),f85(f85(f59(x9191),x9192),x9193)))
% 2.56/2.91 [957]~P38(x9571)+E(f85(f85(f58(x9571),f85(f49(x9571),x9572)),f85(f49(x9571),x9573)),f85(f49(x9571),f85(f85(f58(x9571),x9573),x9572)))
% 2.56/2.91 [958]~P29(x9581)+E(f85(f85(f58(x9581),f85(f49(x9581),x9582)),f85(f49(x9581),x9583)),f85(f49(x9581),f85(f85(f58(x9581),x9582),x9583)))
% 2.56/2.91 [1009]~P39(x10091)+E(f85(f49(x10091),f62(f85(f49(x10091),x10092),f85(f49(x10091),x10093),x10091)),f61(x10092,x10093,x10091))
% 2.56/2.91 [1010]~P39(x10101)+E(f85(f49(x10101),f61(f85(f49(x10101),x10102),f85(f49(x10101),x10103),x10101)),f62(x10102,x10103,x10101))
% 2.56/2.91 [1149]~P1(x11491)+E(f85(f85(f58(x11491),x11492),f85(f85(f59(x11491),x11493),x11492)),f85(f85(f59(x11491),f85(f85(f58(x11491),x11493),f54(x11491))),x11492))
% 2.56/2.91 [1177]P83(f85(f85(f86(x11771),x11772),x11773))+P83(f85(f85(f86(x11771),x11772),f85(f49(f90(x11771,a2)),x11773)))
% 2.56/2.91 [1309]~P83(f85(f85(f86(x13091),x13092),x13093))+~P83(f85(f85(f86(x13091),x13092),f85(f49(f90(x13091,a2)),x13093)))
% 2.56/2.91 [1326]~P68(x13261)+P20(f4(x13261),f85(f85(f58(x13261),f85(f85(f59(x13261),x13262),x13262)),f85(f85(f59(x13261),x13263),x13263)),x13261)
% 2.56/2.91 [1336]E(x13361,x13362)+~P83(f85(f85(f86(x13363),x13361),f78(x13362,f60(f90(x13363,a2)),x13363)))
% 2.56/2.91 [1345]P83(f85(f85(f86(f91(x13451,x13451)),x13452),f75(x13453,x13451)))+~P83(f85(f85(f86(f91(x13451,x13451)),x13452),x13453))
% 2.56/2.91 [1524]P83(f85(f85(f86(x15241),x15242),f82(x15243,x15241)))+P83(f85(f85(f86(f91(x15241,x15241)),f69(f43(x15243,x15242,x15241),x15242,x15241,x15241)),x15243))
% 2.56/2.91 [1525]P83(f85(f85(f86(x15251),x15252),f82(x15253,x15251)))+P83(f85(f85(f86(f91(x15251,x15251)),f69(f23(x15253,x15252,x15251),x15252,x15251,x15251)),x15253))
% 2.56/2.91 [1601]P83(f85(f85(f86(f91(x16011,x16011)),x16012),f80(x16013,f75(x16013,x16011),x16011,x16011,x16011)))+~P83(f85(f85(f86(f91(x16011,x16011)),x16012),x16013))
% 2.56/2.91 [926]~P38(x9261)+E(f85(f85(f58(x9261),f85(f85(f55(x9261),x9262),x9263)),x9263),x9262)
% 2.56/2.91 [927]~P38(x9271)+E(f85(f85(f55(x9271),f85(f85(f58(x9271),x9272),x9273)),x9273),x9272)
% 2.56/2.91 [972]~P38(x9721)+E(f85(f85(f58(x9721),x9722),f85(f85(f58(x9721),f85(f49(x9721),x9722)),x9723)),x9723)
% 2.56/2.91 [1224]~P1(x12241)+E(f85(f85(f58(x12241),f85(f85(f59(x12241),x12242),x12243)),x12243),f85(f85(f59(x12241),f85(f85(f58(x12241),x12242),f54(x12241))),x12243))
% 2.56/2.91 [962]~P20(x9621,x9623,f90(x9624,a2))+P20(x9621,f78(x9622,x9623,x9624),f90(x9624,a2))
% 2.56/2.91 [1054]~P20(f78(x10544,x10541,x10543),x10542,f90(x10543,a2))+P20(x10541,x10542,f90(x10543,a2))
% 2.56/2.91 [1103]~P20(x11032,x11034,f90(x11033,a2))+P20(f78(x11031,x11032,x11033),f78(x11031,x11034,x11033),f90(x11033,a2))
% 2.56/2.91 [1212]~P6(x12121,x12123)+P6(f79(x12121,x12122,x12123,x12124),x12124)
% 2.56/2.91 [1213]~P16(x12131,x12133)+P16(f79(x12131,x12132,x12133,x12134),x12134)
% 2.56/2.91 [954]~P83(f85(x9542,x9544))+P83(f85(f78(x9541,x9542,x9543),x9544))
% 2.56/2.91 [996]~P23(x9964)+E(f61(x9961,f61(x9962,x9963,x9964),x9964),f61(x9962,f61(x9961,x9963,x9964),x9964))
% 2.56/2.91 [997]~P25(x9974)+E(f61(x9971,f61(x9972,x9973,x9974),x9974),f61(x9972,f61(x9971,x9973,x9974),x9974))
% 2.56/2.91 [998]~P23(x9984)+E(f62(x9981,f62(x9982,x9983,x9984),x9984),f62(x9982,f62(x9981,x9983,x9984),x9984))
% 2.56/2.91 [999]~P26(x9994)+E(f62(x9991,f62(x9992,x9993,x9994),x9994),f62(x9992,f62(x9991,x9993,x9994),x9994))
% 2.56/2.91 [1000]~P23(x10003)+E(f61(f61(x10001,x10002,x10003),x10004,x10003),f61(x10001,f61(x10002,x10004,x10003),x10003))
% 2.56/2.91 [1001]~P25(x10013)+E(f61(f61(x10011,x10012,x10013),x10014,x10013),f61(x10011,f61(x10012,x10014,x10013),x10013))
% 2.56/2.91 [1002]~P23(x10023)+E(f62(f62(x10021,x10022,x10023),x10024,x10023),f62(x10021,f62(x10022,x10024,x10023),x10023))
% 2.56/2.91 [1003]~P26(x10033)+E(f62(f62(x10031,x10032,x10033),x10034,x10033),f62(x10031,f62(x10032,x10034,x10033),x10033))
% 2.56/2.91 [1134]~P24(x11343)+E(f62(f61(x11341,x11342,x11343),f61(x11341,x11344,x11343),x11343),f61(x11341,f62(x11342,x11344,x11343),x11343))
% 2.56/2.91 [1135]~P24(x11353)+E(f61(f62(x11351,x11352,x11353),f62(x11351,x11354,x11353),x11353),f62(x11351,f61(x11352,x11354,x11353),x11353))
% 2.56/2.91 [1136]~P24(x11363)+E(f62(f61(x11361,x11362,x11363),f61(x11364,x11362,x11363),x11363),f61(f62(x11361,x11364,x11363),x11362,x11363))
% 2.56/2.91 [1137]~P24(x11373)+E(f61(f62(x11371,x11372,x11373),f62(x11374,x11372,x11373),x11373),f62(f61(x11371,x11374,x11373),x11372,x11373))
% 2.56/2.91 [1144]P20(x11441,x11442,f90(x11443,a2))+~P20(x11441,f61(x11444,x11442,f90(x11443,a2)),f90(x11443,a2))
% 2.56/2.91 [1145]P20(x11451,x11452,f90(x11453,a2))+~P20(x11451,f61(x11452,x11454,f90(x11453,a2)),f90(x11453,a2))
% 2.56/2.91 [1146]P20(x11461,x11462,f90(x11463,a2))+~P20(f62(x11464,x11461,f90(x11463,a2)),x11462,f90(x11463,a2))
% 2.56/2.91 [1147]P20(x11471,x11472,f90(x11473,a2))+~P20(f62(x11471,x11474,f90(x11473,a2)),x11472,f90(x11473,a2))
% 2.56/2.91 [1198]P20(f67(x11981,x11982,x11983),f67(x11984,x11982,x11983),f90(x11982,a2))+~P20(x11981,x11984,f90(f91(x11982,x11983),a2))
% 2.56/2.91 [1239]~P20(x12394,x12391,f90(x12393,a2))+E(f62(f61(x12391,x12392,f90(x12393,a2)),x12394,f90(x12393,a2)),f61(x12391,f62(x12392,x12394,f90(x12393,a2)),f90(x12393,a2)))
% 2.56/2.91 [1331]P20(x13311,x13312,f90(x13313,a2))+~E(f62(f61(x13312,x13314,f90(x13313,a2)),x13311,f90(x13313,a2)),f61(x13312,f62(x13314,x13311,f90(x13313,a2)),f90(x13313,a2)))
% 2.56/2.91 [1358]~P23(x13584)+P20(f62(x13581,f61(x13582,x13583,x13584),x13584),f61(f62(x13581,x13582,x13584),f62(x13581,x13583,x13584),x13584),x13584)
% 2.56/2.91 [1359]~P23(x13593)+P20(f62(f61(x13591,x13592,x13593),f61(x13591,x13594,x13593),x13593),f61(x13591,f62(x13592,x13594,x13593),x13593),x13593)
% 2.56/2.91 [1475]P16(x14751,x14752)+~P16(f78(f69(x14753,x14754,x14752,x14752),x14751,f91(x14752,x14752)),x14752)
% 2.56/2.91 [1476]P18(x14761,x14762)+~P18(f78(f69(x14763,x14764,x14762,x14762),x14761,f91(x14762,x14762)),x14762)
% 2.56/2.91 [1515]P83(f85(f85(f86(f91(x15151,x15151)),f69(x15152,x15153,x15151,x15151)),f74(x15154,x15151)))+~P83(f85(f85(f50(a1),f85(x15154,x15152)),f85(x15154,x15153)))
% 2.56/2.91 [1532]E(x15321,x15322)+~P83(f85(f85(f86(f91(x15323,x15323)),f69(x15321,x15322,x15323,x15323)),f73(x15324,x15323)))
% 2.56/2.91 [1546]~P83(f85(f85(f86(f91(x15464,x15464)),f69(x15462,x15463,x15464,x15464)),f74(x15461,x15464)))+P83(f85(f85(f50(a1),f85(x15461,x15462)),f85(x15461,x15463)))
% 2.56/2.91 [1596]~P16(f78(f69(x15961,x15962,x15963,x15963),x15964,f91(x15963,x15963)),x15963)+~P83(f85(f85(f86(f91(x15963,x15963)),f69(x15962,x15961,x15963,x15963)),f75(x15964,x15963)))
% 2.56/2.91 [1597]~P18(f78(f69(x15971,x15972,x15973,x15973),x15974,f91(x15973,x15973)),x15973)+~P83(f85(f85(f86(f91(x15973,x15973)),f69(x15972,x15971,x15973,x15973)),f75(x15974,x15973)))
% 2.56/2.91 [1059]E(f61(x10591,f78(x10592,x10593,x10594),f90(x10594,a2)),f61(x10591,x10593,f90(x10594,a2)))+P83(f85(f85(f86(x10594),x10592),x10591))
% 2.56/2.91 [1060]E(f61(f78(x10601,x10602,x10603),x10604,f90(x10603,a2)),f61(x10602,x10604,f90(x10603,a2)))+P83(f85(f85(f86(x10603),x10601),x10604))
% 2.56/2.91 [1073]~P83(f85(x10732,x10734))+P83(f85(f62(x10731,x10732,f90(x10733,a2)),x10734))
% 2.56/2.91 [1074]~P83(f85(x10741,x10744))+P83(f85(f62(x10741,x10742,f90(x10743,a2)),x10744))
% 2.56/2.91 [1097]~P20(f78(x10972,x10974,x10971),x10973,f90(x10971,a2))+P83(f85(f85(f86(x10971),x10972),x10973))
% 2.56/2.91 [1196]P83(f85(f85(f86(x11961),x11962),f78(x11963,x11964,x11961)))+~P83(f85(f85(f86(x11961),x11962),x11964))
% 2.56/2.91 [1227]P83(f85(x12271,x12272))+~P83(f85(f61(x12273,x12271,f90(x12274,a2)),x12272))
% 2.56/2.91 [1228]P83(f85(x12281,x12282))+~P83(f85(f61(x12281,x12283,f90(x12284,a2)),x12282))
% 2.56/2.91 [1231]E(f78(x12311,f61(x12312,x12313,f90(x12314,a2)),x12314),f61(x12312,f78(x12311,x12313,x12314),f90(x12314,a2)))+~P83(f85(f85(f86(x12314),x12311),x12312))
% 2.56/2.91 [1232]E(f78(x12321,f61(x12322,x12323,f90(x12324,a2)),x12324),f61(f78(x12321,x12322,x12324),x12323,f90(x12324,a2)))+~P83(f85(f85(f86(x12324),x12321),x12323))
% 2.56/2.91 [1237]~P83(f85(f85(f86(x12371),x12372),x12374))+P83(f85(f85(f86(x12371),x12372),f62(x12373,x12374,f90(x12371,a2))))
% 2.56/2.91 [1238]~P83(f85(f85(f86(x12381),x12382),x12383))+P83(f85(f85(f86(x12381),x12382),f62(x12383,x12384,f90(x12381,a2))))
% 2.56/2.91 [1313]P83(f85(f85(f86(x13131),x13132),x13133))+~P83(f85(f85(f86(x13131),x13132),f61(x13134,x13133,f90(x13131,a2))))
% 2.56/2.91 [1314]P83(f85(f85(f86(x13141),x13142),x13143))+~P83(f85(f85(f86(x13141),x13142),f61(x13143,x13144,f90(x13141,a2))))
% 2.56/2.91 [1536]~P83(f85(f85(f86(f91(x15361,x15361)),f69(x15362,x15364,x15361,x15361)),f73(x15363,x15361)))+P83(f85(f85(f86(x15361),x15362),x15363))
% 2.56/2.91 [1616]~P83(f85(f85(f86(f91(x16161,x16161)),f69(x16163,x16162,x16161,x16161)),f75(x16164,x16161)))+P83(f85(f85(f86(f91(x16161,x16161)),f69(x16162,x16163,x16161,x16161)),f75(f76(x16164,x16161,x16161),x16161)))
% 2.56/2.91 [1619]P83(f85(f85(f86(f91(x16191,x16191)),f69(x16192,x16193,x16191,x16191)),f75(x16194,x16191)))+~P83(f85(f85(f86(f91(x16191,x16191)),f69(x16193,x16192,x16191,x16191)),f75(f76(x16194,x16191,x16191),x16191)))
% 2.56/2.91 [1655]P83(f85(f85(f86(f91(x16551,x16551)),f69(x16552,x16553,x16551,x16551)),f75(x16554,x16551)))+~P83(f85(f85(f86(f91(x16551,x16551)),f69(x16552,x16553,x16551,x16551)),f80(x16554,f75(x16554,x16551),x16551,x16551,x16551)))
% 2.56/2.91 [1672]P83(f85(f85(f86(f91(x16721,x16721)),f69(x16722,f39(x16723,x16722,x16724,x16721),x16721,x16721)),f75(x16723,x16721)))+~P83(f85(f85(f86(f91(x16721,x16721)),f69(x16722,x16724,x16721,x16721)),f80(x16723,f75(x16723,x16721),x16721,x16721,x16721)))
% 2.56/2.91 [1673]P83(f85(f85(f86(f91(x16731,x16731)),f69(f38(x16732,x16733,x16734,x16731),x16734,x16731,x16731)),f75(x16732,x16731)))+~P83(f85(f85(f86(f91(x16731,x16731)),f69(x16733,x16734,x16731,x16731)),f80(x16732,f75(x16732,x16731),x16731,x16731,x16731)))
% 2.56/2.91 [975]~P1(x9751)+E(f85(f85(f58(x9751),x9752),f85(f85(f58(x9751),x9753),x9754)),f85(f85(f58(x9751),x9753),f85(f85(f58(x9751),x9752),x9754)))
% 2.56/2.91 [976]~P2(x9761)+E(f85(f85(f58(x9761),x9762),f85(f85(f58(x9761),x9763),x9764)),f85(f85(f58(x9761),x9763),f85(f85(f58(x9761),x9762),x9764)))
% 2.56/2.91 [977]~P29(x9771)+E(f85(f85(f58(x9771),x9772),f85(f85(f58(x9771),x9773),x9774)),f85(f85(f58(x9771),x9773),f85(f85(f58(x9771),x9772),x9774)))
% 2.56/2.91 [978]~P1(x9781)+E(f85(f85(f59(x9781),x9782),f85(f85(f59(x9781),x9783),x9784)),f85(f85(f59(x9781),x9783),f85(f85(f59(x9781),x9782),x9784)))
% 2.56/2.91 [1119]~P39(x11191)+E(f61(f85(f85(f58(x11191),x11192),x11193),f85(f85(f58(x11191),x11192),x11194),x11191),f85(f85(f58(x11191),x11192),f61(x11193,x11194,x11191)))
% 2.56/2.91 [1120]~P40(x11201)+E(f61(f85(f85(f58(x11201),x11202),x11203),f85(f85(f58(x11201),x11202),x11204),x11201),f85(f85(f58(x11201),x11202),f61(x11203,x11204,x11201)))
% 2.56/2.91 [1121]~P39(x11211)+E(f62(f85(f85(f58(x11211),x11212),x11213),f85(f85(f58(x11211),x11212),x11214),x11211),f85(f85(f58(x11211),x11212),f62(x11213,x11214,x11211)))
% 2.56/2.91 [1122]~P41(x11221)+E(f62(f85(f85(f58(x11221),x11222),x11223),f85(f85(f58(x11221),x11222),x11224),x11221),f85(f85(f58(x11221),x11222),f62(x11223,x11224,x11221)))
% 2.56/2.91 [1210]~P1(x12101)+E(f85(f85(f58(x12101),f85(f85(f59(x12101),x12102),x12103)),f85(f85(f59(x12101),x12102),x12104)),f85(f85(f59(x12101),x12102),f85(f85(f58(x12101),x12103),x12104)))
% 2.56/2.91 [1214]~P39(x12141)+E(f61(f85(f85(f58(x12141),x12142),x12143),f85(f85(f58(x12141),x12144),x12143),x12141),f85(f85(f58(x12141),f61(x12142,x12144,x12141)),x12143))
% 2.56/2.91 [1215]~P40(x12151)+E(f61(f85(f85(f58(x12151),x12152),x12153),f85(f85(f58(x12151),x12154),x12153),x12151),f85(f85(f58(x12151),f61(x12152,x12154,x12151)),x12153))
% 2.56/2.91 [1216]~P39(x12161)+E(f62(f85(f85(f58(x12161),x12162),x12163),f85(f85(f58(x12161),x12164),x12163),x12161),f85(f85(f58(x12161),f62(x12162,x12164,x12161)),x12163))
% 2.56/2.91 [1217]~P41(x12171)+E(f62(f85(f85(f58(x12171),x12172),x12173),f85(f85(f58(x12171),x12174),x12173),x12171),f85(f85(f58(x12171),f62(x12172,x12174,x12171)),x12173))
% 2.56/2.91 [1218]~P1(x12181)+E(f85(f85(f59(x12181),f71(x12182,x12183,x12181)),f71(x12184,x12183,x12181)),f71(f85(f85(f59(x12181),x12182),x12184),x12183,x12181))
% 2.56/2.91 [1219]~P36(x12191)+E(f85(f85(f59(x12191),f71(x12192,x12193,x12191)),f71(x12194,x12193,x12191)),f71(f85(f85(f59(x12191),x12192),x12194),x12193,x12191))
% 2.56/2.91 [1582]~P81(x15822)+E(f85(f85(f52(x15821,x15822),f7(f63(x15822),x15823,a1,x15822,x15821)),x15824),f85(f63(x15822),f85(f85(f52(x15821,a1),x15823),x15824)))
% 2.56/2.91 [1583]~P29(x15832)+E(f85(f85(f52(x15831,x15832),f7(f49(x15832),x15833,x15832,x15832,x15831)),x15834),f85(f49(x15832),f85(f85(f52(x15831,x15832),x15833),x15834)))
% 2.56/2.91 [1620]~P83(f85(f85(f86(x16201),x16203),f67(x16204,x16201,x16202)))+P83(f85(f85(f86(f91(x16201,x16202)),f69(x16203,f19(x16203,x16204,x16201,x16202),x16201,x16202)),x16204))
% 2.56/2.91 [1621]~P83(f85(f85(f86(x16211),x16213),f67(x16214,x16211,x16212)))+P83(f85(f85(f86(f91(x16211,x16212)),f69(x16213,f21(x16213,x16214,x16211,x16212),x16211,x16212)),x16214))
% 2.56/2.91 [1627]~P83(f85(f85(f86(x16272),x16273),f67(f76(x16274,x16271,x16272),x16272,x16271)))+P83(f85(f85(f86(f91(x16271,x16272)),f69(f25(x16273,x16274,x16272,x16271),x16273,x16271,x16272)),x16274))
% 2.56/2.91 [1628]~P83(f85(f85(f86(x16282),x16283),f67(f76(x16284,x16281,x16282),x16282,x16281)))+P83(f85(f85(f86(f91(x16281,x16282)),f69(f28(x16283,x16284,x16282,x16281),x16283,x16281,x16282)),x16284))
% 2.56/2.91 [1670]~P83(f85(f85(f86(f91(x16701,x16701)),f69(x16702,x16704,x16701,x16701)),f80(x16703,f75(x16703,x16701),x16701,x16701,x16701)))+P83(f85(f85(f86(f91(x16701,x16701)),f69(x16702,f38(x16703,x16702,x16704,x16701),x16701,x16701)),x16703))
% 2.56/2.91 [1671]~P83(f85(f85(f86(f91(x16711,x16711)),f69(x16713,x16714,x16711,x16711)),f80(x16712,f75(x16712,x16711),x16711,x16711,x16711)))+P83(f85(f85(f86(f91(x16711,x16711)),f69(f39(x16712,x16713,x16714,x16711),x16714,x16711,x16711)),x16712))
% 2.56/2.91 [1688]~P83(f85(f85(f86(f91(x16881,x16881)),f69(x16882,x16883,x16881,x16881)),f80(f76(x16884,x16881,x16881),f75(f76(x16884,x16881,x16881),x16881),x16881,x16881,x16881)))+P83(f85(f85(f86(f91(x16881,x16881)),f69(x16882,x16883,x16881,x16881)),f76(f80(x16884,f75(x16884,x16881),x16881,x16881,x16881),x16881,x16881)))
% 2.56/2.91 [1689]~P83(f85(f85(f86(f91(x16891,x16891)),f69(x16892,x16893,x16891,x16891)),f76(f80(x16894,f75(x16894,x16891),x16891,x16891,x16891),x16891,x16891)))+P83(f85(f85(f86(f91(x16891,x16891)),f69(x16892,x16893,x16891,x16891)),f80(f76(x16894,x16891,x16891),f75(f76(x16894,x16891,x16891),x16891),x16891,x16891,x16891)))
% 2.56/2.91 [1114]~P1(x11141)+E(f85(f85(f58(x11141),f85(f85(f58(x11141),x11142),x11143)),x11144),f85(f85(f58(x11141),x11142),f85(f85(f58(x11141),x11143),x11144)))
% 2.56/2.91 [1115]~P2(x11151)+E(f85(f85(f58(x11151),f85(f85(f58(x11151),x11152),x11153)),x11154),f85(f85(f58(x11151),x11152),f85(f85(f58(x11151),x11153),x11154)))
% 2.56/2.91 [1116]~P27(x11161)+E(f85(f85(f58(x11161),f85(f85(f58(x11161),x11162),x11163)),x11164),f85(f85(f58(x11161),x11162),f85(f85(f58(x11161),x11163),x11164)))
% 2.56/2.91 [1117]~P1(x11171)+E(f85(f85(f59(x11171),f85(f85(f59(x11171),x11172),x11173)),x11174),f85(f85(f59(x11171),x11172),f85(f85(f59(x11171),x11173),x11174)))
% 2.56/2.91 [1118]~P31(x11181)+E(f85(f85(f59(x11181),f85(f85(f59(x11181),x11182),x11183)),x11184),f85(f85(f59(x11181),x11182),f85(f85(f59(x11181),x11183),x11184)))
% 2.56/2.91 [1208]~P1(x12081)+E(f85(f85(f58(x12081),f85(f85(f58(x12081),x12082),x12083)),x12084),f85(f85(f58(x12081),f85(f85(f58(x12081),x12082),x12084)),x12083))
% 2.56/2.91 [1209]~P1(x12091)+E(f85(f85(f59(x12091),f85(f85(f59(x12091),x12092),x12093)),x12094),f85(f85(f59(x12091),f85(f85(f59(x12091),x12092),x12094)),x12093))
% 2.56/2.91 [1252]~P62(x12521)+E(f85(f85(f58(x12521),f85(f85(f56(x12521),x12522),x12523)),f85(f85(f56(x12521),x12524),x12523)),f85(f85(f56(x12521),f85(f85(f58(x12521),x12522),x12524)),x12523))
% 2.56/2.91 [1253]~P62(x12531)+E(f85(f85(f55(x12531),f85(f85(f56(x12531),x12532),x12533)),f85(f85(f56(x12531),x12534),x12533)),f85(f85(f56(x12531),f85(f85(f55(x12531),x12532),x12534)),x12533))
% 2.56/2.91 [1255]~P53(x12551)+E(f85(f85(f58(x12551),f85(f85(f59(x12551),x12552),x12553)),f85(f85(f59(x12551),x12554),x12553)),f85(f85(f59(x12551),f85(f85(f58(x12551),x12552),x12554)),x12553))
% 2.56/2.91 [1256]~P1(x12561)+E(f85(f85(f58(x12561),f85(f85(f59(x12561),x12562),x12563)),f85(f85(f59(x12561),x12564),x12563)),f85(f85(f59(x12561),f85(f85(f58(x12561),x12562),x12564)),x12563))
% 2.56/2.91 [1485]~P83(f85(f85(f86(f91(x14851,x14851)),x14852),f75(x14854,x14851)))+P83(f85(f85(f86(f91(x14851,x14851)),x14852),f75(f62(x14853,x14854,f90(f91(x14851,x14851),a2)),x14851)))
% 2.56/2.91 [1486]~P83(f85(f85(f86(f91(x14861,x14861)),x14862),f75(x14863,x14861)))+P83(f85(f85(f86(f91(x14861,x14861)),x14862),f75(f62(x14863,x14864,f90(f91(x14861,x14861),a2)),x14861)))
% 2.56/2.91 [1416]~P20(x14162,x14165,f90(x14164,a2))+P20(f81(x14161,x14162,x14163,x14164),f81(x14161,x14165,x14163,x14164),f90(x14163,a2))
% 2.56/2.91 [1412]~P83(f85(x14122,f85(x14121,x14125)))+P83(f85(f81(x14121,x14122,x14123,x14124),x14125))
% 2.56/2.91 [1469]P83(f85(x14691,f85(x14692,x14693)))+~P83(f85(f81(x14692,x14691,x14694,x14695),x14693))
% 2.56/2.91 [1517]P83(f85(f85(f86(f91(x15171,x15171)),f69(x15172,x15173,x15171,x15171)),f84(x15174,x15175,x15171)))+~P83(f85(f85(f50(a1),f85(x15174,x15172)),f85(x15174,x15173)))
% 2.56/2.91 [1456]P83(f85(f85(f86(x14561),x14562),f81(x14563,x14564,x14561,x14565)))+~P83(f85(f85(f86(x14565),f85(x14563,x14562)),x14564))
% 2.56/2.91 [1470]~P13(f76(x14701,x14703,x14704),x14704,x14703)+E(f61(f77(x14701,x14702,x14703,x14704),f77(x14701,x14705,x14703,x14704),f90(x14704,a2)),f77(x14701,f61(x14702,x14705,f90(x14703,a2)),x14703,x14704))
% 2.56/2.91 [1482]~P83(f85(f85(f86(x14825),x14823),f81(x14822,x14824,x14825,x14821)))+P83(f85(f85(f86(x14821),f85(x14822,x14823)),x14824))
% 2.56/2.91 [1545]P83(f85(f85(f86(x15451),x15452),f67(x15453,x15451,x15454)))+~P83(f85(f85(f86(f91(x15451,x15454)),f69(x15452,x15455,x15451,x15454)),x15453))
% 2.56/2.91 [1565]P83(f85(f85(f86(x15651),x15652),f67(f76(x15653,x15654,x15651),x15651,x15654)))+~P83(f85(f85(f86(f91(x15654,x15651)),f69(x15655,x15652,x15654,x15651)),x15653))
% 2.56/2.91 [1613]P83(f85(f85(f86(f91(x16131,x16132)),f69(x16133,x16134,x16131,x16132)),f76(x16135,x16132,x16131)))+~P83(f85(f85(f86(f91(x16132,x16131)),f69(x16134,x16133,x16132,x16131)),x16135))
% 2.56/2.91 [1614]~P83(f85(f85(f86(f91(x16142,x16141)),f69(x16144,x16143,x16142,x16141)),f76(x16145,x16141,x16142)))+P83(f85(f85(f86(f91(x16141,x16142)),f69(x16143,x16144,x16141,x16142)),x16145))
% 2.56/2.91 [1650]~P83(f85(f85(f86(x16505),x16503),f77(x16504,x16502,x16501,x16505)))+P83(f85(f85(f86(x16501),f26(x16502,x16503,x16504,x16501,x16505)),x16502))
% 2.56/2.91 [1651]~P83(f85(f85(f86(x16515),x16513),f77(x16514,x16512,x16511,x16515)))+P83(f85(f85(f86(x16511),f27(x16512,x16513,x16514,x16511,x16515)),x16512))
% 2.56/2.91 [1652]~P83(f85(f85(f86(f91(x16521,x16525)),x16524),f70(x16522,x16523,x16521,x16525)))+P83(f85(f85(f86(x16521),f20(x16522,x16523,x16524,x16521,x16525)),x16522))
% 2.56/2.91 [1298]~P1(x12981)+E(f85(f85(f58(x12981),f85(f85(f58(x12981),x12982),x12983)),f85(f85(f58(x12981),x12984),x12985)),f85(f85(f58(x12981),f85(f85(f58(x12981),x12982),x12984)),f85(f85(f58(x12981),x12983),x12985)))
% 2.56/2.91 [1299]~P1(x12991)+E(f85(f85(f59(x12991),f85(f85(f59(x12991),x12992),x12993)),f85(f85(f59(x12991),x12994),x12995)),f85(f85(f59(x12991),f85(f85(f59(x12991),x12992),x12994)),f85(f85(f59(x12991),x12993),x12995)))
% 2.56/2.91 [1631]~P36(x16311)+E(f53(f48(f7(f59(x16311),x16312,x16311,f90(x16311,x16311),x16313),x16314,x16313,x16311,x16311),x16315,x16313,x16311),f85(f85(f59(x16311),f53(x16312,x16315,x16313,x16311)),f53(x16314,x16315,x16313,x16311)))
% 2.56/2.91 [1684]~P83(f85(f85(f86(x16842),x16844),f77(x16845,x16843,x16841,x16842)))+P83(f85(f85(f86(f91(x16841,x16842)),f69(f26(x16843,x16844,x16845,x16841,x16842),x16844,x16841,x16842)),x16845))
% 2.56/2.91 [1685]~P83(f85(f85(f86(x16852),x16854),f77(x16855,x16853,x16851,x16852)))+P83(f85(f85(f86(f91(x16851,x16852)),f69(f27(x16853,x16854,x16855,x16851,x16852),x16854,x16851,x16852)),x16855))
% 2.56/2.91 [1518]~P20(f77(x15183,x15181,x15182,x15184),x15185,f90(x15184,a2))+P20(x15181,f85(f49(f90(x15182,a2)),f77(f76(x15183,x15182,x15184),f85(f49(f90(x15184,a2)),x15185),x15184,x15182)),f90(x15182,a2))
% 2.56/2.91 [1519]E(f85(x15191,x15192),x15193)+~P83(f85(f85(f86(x15194),x15192),f81(x15191,f78(x15193,f60(f90(x15195,a2)),x15195),x15194,x15195)))
% 2.56/2.91 [1547]P20(f77(x15471,x15472,x15473,x15474),x15475,f90(x15474,a2))+~P20(x15472,f85(f49(f90(x15473,a2)),f77(f76(x15471,x15473,x15474),f85(f49(f90(x15474,a2)),x15475),x15474,x15473)),f90(x15473,a2))
% 2.56/2.91 [1590]~P71(x15902)+E(f85(f85(f52(x15901,x15902),f7(f85(f59(x15902),x15903),x15904,x15902,x15902,x15901)),x15905),f85(f85(f59(x15902),x15903),f85(f85(f52(x15901,x15902),x15904),x15905)))
% 2.56/2.91 [1592]P83(f85(f85(f86(f91(x15921,x15922)),f69(x15923,x15924,x15921,x15922)),x15925))+~P83(f85(f85(f86(x15922),x15924),f77(x15925,f78(x15923,f60(f90(x15921,a2)),x15921),x15921,x15922)))
% 2.56/2.91 [1598]~P83(f85(f85(f86(f91(x15985,x15981)),f69(x15984,x15982,x15985,x15981)),x15983))+P83(f85(f85(f86(x15981),x15982),f77(x15983,f78(x15984,f60(f90(x15985,a2)),x15985),x15985,x15981)))
% 2.56/2.91 [1665]~P2(x16652)+E(f85(f85(f52(x16651,x16652),f48(f7(f58(x16652),x16653,x16652,f90(x16652,x16652),x16651),x16654,x16651,x16652,x16652)),x16655),f85(f85(f58(x16652),f85(f85(f52(x16651,x16652),x16653),x16655)),f85(f85(f52(x16651,x16652),x16654),x16655)))
% 2.56/2.91 [1666]~P29(x16662)+E(f85(f85(f52(x16661,x16662),f48(f7(f55(x16662),x16663,x16662,f90(x16662,x16662),x16661),x16664,x16661,x16662,x16662)),x16665),f85(f85(f55(x16662),f85(f85(f52(x16661,x16662),x16663),x16665)),f85(f85(f52(x16661,x16662),x16664),x16665)))
% 2.56/2.91 [1682]~P62(x16822)+E(f85(f85(f52(x16821,x16822),f85(f6(f7(f56(x16822),x16823,x16822,f90(x16822,x16822),x16821),x16821,x16822,x16822),x16824)),x16825),f85(f85(f56(x16822),f85(f85(f52(x16821,x16822),x16823),x16825)),x16824))
% 2.56/2.91 [1683]~P71(x16832)+E(f85(f85(f52(x16831,x16832),f85(f6(f7(f59(x16832),x16833,x16832,f90(x16832,x16832),x16831),x16831,x16832,x16832),x16834)),x16835),f85(f85(f59(x16832),f85(f85(f52(x16831,x16832),x16833),x16835)),x16834))
% 2.56/2.91 [1477]~P72(x14771)+E(f85(f85(f58(x14771),f85(f85(f59(x14771),x14772),x14773)),f85(f85(f58(x14771),f85(f85(f59(x14771),x14774),x14773)),x14775)),f85(f85(f58(x14771),f85(f85(f59(x14771),f85(f85(f58(x14771),x14772),x14774)),x14773)),x14775))
% 2.56/2.91 [1513]~P78(x15131)+E(f85(f85(f58(x15131),f85(f85(f59(x15131),x15132),x15133)),f85(f85(f58(x15131),f85(f85(f59(x15131),f85(f85(f55(x15131),x15134),x15132)),x15133)),x15135)),f85(f85(f58(x15131),f85(f85(f59(x15131),x15134),x15133)),x15135))
% 2.56/2.91 [1324]E(x13241,x13242)+~E(f69(x13243,x13241,x13244,x13245),f69(x13246,x13242,x13244,x13245))
% 2.56/2.91 [1325]E(x13251,x13252)+~E(f69(x13251,x13253,x13254,x13255),f69(x13252,x13256,x13254,x13255))
% 2.56/2.91 [1591]~P83(f85(f85(f86(f91(x15915,x15911)),f69(x15914,x15912,x15915,x15911)),f70(x15916,x15913,x15915,x15911)))+P83(f85(f85(f86(x15911),x15912),f85(x15913,x15914)))
% 2.56/2.91 [1694]E(f72(x16941,x16942,x16943,x16944,x16945),f72(x16946,x16942,x16943,x16944,x16945))+~E(f85(x16941,f65(x16941,x16946,x16942,x16943,x16944,x16945)),f85(x16946,f65(x16941,x16946,x16942,x16943,x16944,x16945)))
% 2.56/2.91 [1587]~P83(f85(f85(f86(f91(x15871,x15874)),f69(x15872,x15875,x15871,x15874)),f70(x15873,x15876,x15871,x15874)))+P83(f85(f85(f86(x15871),x15872),x15873))
% 2.56/2.91 [1611]E(f85(f72(x16111,x16112,x16113,x16114,x16115),x16116),f85(x16111,x16116))+~P83(f85(f85(f86(f91(x16114,x16114)),f69(x16116,x16113,x16114,x16114)),x16112))
% 2.56/2.91 [1629]P83(f85(f85(f86(f91(x16291,x16291)),f69(x16292,x16293,x16291,x16291)),f79(x16294,x16295,x16296,x16291)))+~P83(f85(f85(f86(f91(x16296,x16296)),f69(f85(x16295,x16292),f85(x16295,x16293),x16296,x16296)),x16294))
% 2.56/2.91 [1630]~P83(f85(f85(f86(f91(x16306,x16306)),f69(x16303,x16304,x16306,x16306)),f79(x16305,x16302,x16301,x16306)))+P83(f85(f85(f86(f91(x16301,x16301)),f69(f85(x16302,x16303),f85(x16302,x16304),x16301,x16301)),x16305))
% 2.56/2.91 [1709]E(f72(x17091,x17092,x17093,x17094,x17095),f72(x17096,x17092,x17093,x17094,x17095))+P83(f85(f85(f86(f91(x17094,x17094)),f69(f65(x17091,x17096,x17092,x17093,x17094,x17095),x17093,x17094,x17094)),x17092))
% 2.56/2.91 [1698]~P2(x16982)+E(f85(f85(f52(x16981,x16982),f85(f6(f7(f52(x16983,x16982),f6(x16984,x16983,x16981,x16982),f90(x16983,x16982),f90(f90(x16983,a2),x16982),x16981),x16981,f90(x16983,a2),x16982),x16985)),x16986),f85(f85(f52(x16983,x16982),f85(f6(f7(f52(x16981,x16982),x16984,f90(x16981,x16982),f90(f90(x16981,a2),x16982),x16983),x16983,f90(x16981,a2),x16982),x16986)),x16985))
% 2.56/2.91 [1710]~P83(f85(f85(f86(f91(x17101,x17107)),f69(x17103,x17104,x17101,x17107)),f80(x17105,x17106,x17101,x17102,x17107)))+P83(f85(f85(f86(f91(x17101,x17102)),f69(x17103,f32(x17103,x17104,x17105,x17106,x17101,x17107,x17102),x17101,x17102)),x17105))
% 2.56/2.91 [1711]~P83(f85(f85(f86(f91(x17117,x17112)),f69(x17113,x17114,x17117,x17112)),f80(x17115,x17116,x17117,x17111,x17112)))+P83(f85(f85(f86(f91(x17111,x17112)),f69(f32(x17113,x17114,x17115,x17116,x17117,x17112,x17111),x17114,x17111,x17112)),x17116))
% 2.56/2.91 [810]~P46(x8101)+~P20(f4(x8101),f4(x8101),x8101)+E(f85(f85(f58(x8101),f4(x8101)),f4(x8101)),f4(x8101))
% 2.56/2.91 [786]E(x7861,x7862)+~P20(x7862,x7861,a1)+~P20(x7861,x7862,a1)
% 2.56/2.91 [613]~P66(x6132)+~E(f57(x6131,x6132),f4(x6132))+E(x6131,f4(x6132))
% 2.56/2.91 [614]~P5(x6142)+~P5(x6141)+P5(f90(x6141,x6142))
% 2.56/2.91 [615]~P5(x6152)+~P5(x6151)+P5(f91(x6151,x6152))
% 2.56/2.91 [720]~P1(x7202)+~P19(f4(x7202),x7201,x7202)+E(x7201,f4(x7202))
% 2.56/2.91 [616]~P43(x6162)+E(x6161,f4(x6162))+~E(f85(f49(x6162),x6161),x6161)
% 2.56/2.91 [617]~P38(x6172)+E(x6171,f4(x6172))+~E(f85(f49(x6172),x6171),f4(x6172))
% 2.56/2.91 [618]~P38(x6181)+E(f4(x6181),x6182)+~E(f85(f49(x6181),x6182),f4(x6181))
% 2.56/2.91 [676]~P63(x6761)+~P22(x6761)+E(f85(f85(f58(x6761),x6762),f4(x6761)),x6762)
% 2.56/2.91 [686]~P58(x6861)+~P62(x6861)+E(f85(f85(f56(x6861),x6862),f4(x6861)),f4(x6861))
% 2.56/2.91 [687]~P8(x6871,x6872)+~E(f5(x6871,x6872),f4(a1))+E(x6871,f60(f90(x6872,a2)))
% 2.56/2.91 [811]~P66(x8111)+~E(f57(x8112,x8111),f85(f49(x8111),f54(x8111)))+P83(f85(f85(f50(x8111),x8112),f4(x8111)))
% 2.56/2.91 [819]~P39(x8192)+~P20(x8191,f4(x8192),x8192)+P20(x8191,f85(f49(x8192),x8191),x8192)
% 2.56/2.91 [820]~P43(x8202)+~P20(x8201,f4(x8202),x8202)+P20(x8201,f85(f49(x8202),x8201),x8202)
% 2.56/2.91 [821]~P39(x8211)+~P20(f4(x8211),x8212,x8211)+P20(f85(f49(x8211),x8212),x8212,x8211)
% 2.56/2.91 [822]~P43(x8221)+~P20(f4(x8221),x8222,x8221)+P20(f85(f49(x8221),x8222),x8222,x8221)
% 2.56/2.91 [833]~P44(x8331)+~P20(x8332,f4(x8331),x8331)+P20(f4(x8331),f85(f49(x8331),x8332),x8331)
% 2.56/2.91 [834]~P44(x8341)+~P20(f4(x8341),x8342,x8341)+P20(f85(f49(x8341),x8342),f4(x8341),x8341)
% 2.56/2.91 [850]~P8(x8501,x8502)+E(x8501,f60(f90(x8502,a2)))+P83(f85(f85(f50(a1),f4(a1)),f5(x8501,x8502)))
% 2.56/2.91 [855]~P39(x8552)+P20(x8551,f4(x8552),x8552)+~P20(x8551,f85(f49(x8552),x8551),x8552)
% 2.56/2.91 [856]~P43(x8562)+P20(x8561,f4(x8562),x8562)+~P20(x8561,f85(f49(x8562),x8561),x8562)
% 2.56/2.91 [857]~P39(x8571)+P20(f4(x8571),x8572,x8571)+~P20(f85(f49(x8571),x8572),x8572,x8571)
% 2.56/2.91 [858]~P43(x8581)+P20(f4(x8581),x8582,x8581)+~P20(f85(f49(x8581),x8582),x8582,x8581)
% 2.56/2.91 [872]~P44(x8722)+P20(x8721,f4(x8722),x8722)+~P20(f4(x8722),f85(f49(x8722),x8721),x8722)
% 2.56/2.91 [873]~P44(x8731)+P20(f4(x8731),x8732,x8731)+~P20(f85(f49(x8731),x8732),f4(x8731),x8731)
% 2.56/2.91 [888]~P66(x8882)+E(f57(x8881,x8882),f85(f49(x8882),f54(x8882)))+~P83(f85(f85(f50(x8882),x8881),f4(x8882)))
% 2.56/2.91 [1109]~P66(x11091)+~P83(f85(f85(f50(x11091),x11092),f4(x11091)))+P83(f85(f85(f50(x11091),f57(x11092,x11091)),f4(x11091)))
% 2.56/2.91 [1187]~P66(x11871)+~P83(f85(f85(f50(x11871),f57(x11872,x11871)),f4(x11871)))+P83(f85(f85(f50(x11871),x11872),f4(x11871)))
% 2.56/2.91 [1292]~P39(x12921)+~P83(f85(f85(f50(x12921),x12922),f4(x12921)))+P83(f85(f85(f50(x12921),f85(f85(f58(x12921),x12922),x12922)),f4(x12921)))
% 2.56/2.91 [1293]~P66(x12931)+~P83(f85(f85(f50(x12931),x12932),f4(x12931)))+P83(f85(f85(f50(x12931),f85(f85(f58(x12931),x12932),x12932)),f4(x12931)))
% 2.56/2.91 [1372]~P39(x13721)+~P83(f85(f85(f50(x13721),f85(f85(f58(x13721),x13722),x13722)),f4(x13721)))+P83(f85(f85(f50(x13721),x13722),f4(x13721)))
% 2.56/2.91 [1373]~P66(x13731)+~P83(f85(f85(f50(x13731),f85(f85(f58(x13731),x13732),x13732)),f4(x13731)))+P83(f85(f85(f50(x13731),x13732),f4(x13731)))
% 2.56/2.91 [654]~P62(x6542)+E(x6541,f4(x6542))+E(f85(f85(f56(x6542),x6541),x6541),f54(x6542))
% 2.56/2.91 [658]~P63(x6581)+~P22(x6581)+E(f85(f85(f55(x6581),x6582),x6582),f4(x6581))
% 2.56/2.91 [699]~P39(x6992)+E(x6991,f4(x6992))+~E(f85(f85(f58(x6992),x6991),x6991),f4(x6992))
% 2.56/2.91 [768]~P39(x7682)+E(x7681,f4(x7682))+~E(f61(x7681,f85(f49(x7682),x7681),x7682),f4(x7682))
% 2.56/2.91 [769]~P39(x7692)+E(x7691,f4(x7692))+~E(f62(x7691,f85(f49(x7692),x7691),x7692),f4(x7692))
% 2.56/2.91 [770]~P66(x7701)+~E(f57(x7702,x7701),f54(x7701))+P83(f85(f85(f50(x7701),f4(x7701)),x7702))
% 2.56/2.91 [799]E(x7991,x7992)+~P20(x7991,x7992,a1)+P83(f85(f85(f50(a1),x7991),x7992))
% 2.56/2.91 [815]E(x8151,x8152)+P83(f85(f85(f50(a1),x8152),x8151))+P83(f85(f85(f50(a1),x8151),x8152))
% 2.56/2.91 [884]~P66(x8842)+E(f57(x8841,x8842),f54(x8842))+~P83(f85(f85(f50(x8842),f4(x8842)),x8841))
% 2.56/2.91 [920]E(x9201,f68(f90(x9202,a2)))+~P8(f68(f90(x9202,a2)),x9202)+~E(f5(x9201,x9202),f5(f68(f90(x9202,a2)),x9202))
% 2.56/2.91 [932]~P39(x9321)+~P20(f4(x9321),x9322,x9321)+P20(f4(x9321),f85(f85(f58(x9321),x9322),x9322),x9321)
% 2.56/2.91 [933]~P39(x9331)+~P20(x9332,f4(x9331),x9331)+P20(f85(f85(f58(x9331),x9332),x9332),f4(x9331),x9331)
% 2.56/2.91 [940]~P8(x9402,x9401)+~P8(f68(f90(x9401,a2)),x9401)+P8(f85(f49(f90(x9401,a2)),x9402),x9401)
% 2.56/2.91 [974]~P8(x9742,x9741)+P8(f68(f90(x9741,a2)),x9741)+~P8(f85(f49(f90(x9741,a2)),x9742),x9741)
% 2.56/2.91 [993]~P39(x9932)+P20(x9931,f4(x9932),x9932)+~P20(f85(f85(f58(x9932),x9931),x9931),f4(x9932),x9932)
% 2.56/2.91 [994]~P39(x9941)+P20(f4(x9941),x9942,x9941)+~P20(f4(x9941),f85(f85(f58(x9941),x9942),x9942),x9941)
% 2.56/2.91 [1068]~P66(x10681)+~P83(f85(f85(f50(x10681),x10682),f4(x10681)))+P83(f85(f85(f50(x10681),x10682),f85(f49(x10681),x10682)))
% 2.56/2.91 [1072]~P56(x10721)+P83(f85(f85(f50(x10721),f4(x10721)),f85(f63(x10721),x10722)))+~P83(f85(f85(f50(a1),f4(a1)),x10722))
% 2.56/2.91 [1096]~P66(x10961)+P83(f85(f85(f50(x10961),f4(x10961)),f57(x10962,x10961)))+~P83(f85(f85(f50(x10961),f4(x10961)),x10962))
% 2.56/2.91 [1102]~P44(x11021)+~P83(f85(f85(f50(x11021),x11022),f4(x11021)))+P83(f85(f85(f50(x11021),f4(x11021)),f85(f49(x11021),x11022)))
% 2.56/2.91 [1106]~P66(x11061)+P83(f85(f85(f50(x11061),x11062),f4(x11061)))+~P83(f85(f85(f50(x11061),x11062),f85(f49(x11061),x11062)))
% 2.56/2.91 [1124]~P66(x11241)+~P83(f85(f85(f50(x11241),f4(x11241)),f57(x11242,x11241)))+P83(f85(f85(f50(x11241),f4(x11241)),x11242))
% 2.56/2.91 [1148]~P56(x11482)+~P83(f85(f85(f50(x11482),f4(x11482)),f85(f63(x11482),x11481)))+P83(f85(f85(f50(a1),f4(a1)),x11481))
% 2.56/2.91 [1162]~P44(x11621)+P83(f85(f85(f50(x11621),x11622),f4(x11621)))+~P83(f85(f85(f50(x11621),f4(x11621)),f85(f49(x11621),x11622)))
% 2.56/2.91 [1193]~P44(x11931)+P83(f85(f85(f50(x11931),f85(f49(x11931),x11932)),f4(x11931)))+~P83(f85(f85(f50(x11931),f4(x11931)),x11932))
% 2.56/2.91 [1233]~P44(x12331)+~P83(f85(f85(f50(x12331),f85(f49(x12331),x12332)),f4(x12331)))+P83(f85(f85(f50(x12331),f4(x12331)),x12332))
% 2.56/2.91 [1225]~P39(x12251)+~P83(f85(f85(f50(x12251),f4(x12251)),x12252))+P83(f85(f85(f50(x12251),f4(x12251)),f85(f85(f58(x12251),x12252),x12252)))
% 2.56/2.91 [1277]~P39(x12771)+P83(f85(f85(f50(x12771),f4(x12771)),x12772))+~P83(f85(f85(f50(x12771),f4(x12771)),f85(f85(f58(x12771),x12772),x12772)))
% 2.56/2.91 [992]~P58(x9921)+~P62(x9921)+E(f85(f85(f56(x9921),f85(f85(f59(x9921),f4(x9921)),x9922)),x9922),f4(x9921))
% 2.56/2.91 [732]P20(x7322,x7321,x7323)+~P49(x7323)+P20(x7321,x7322,x7323)
% 2.56/2.91 [860]~P20(x8601,x8603,a1)+P20(x8601,x8602,a1)+~P20(x8603,x8602,a1)
% 2.56/2.91 [708]~P3(x7082)+~E(f62(x7083,x7081,x7082),f60(x7082))+E(x7081,f60(x7082))
% 2.56/2.91 [709]~P3(x7092)+~E(f61(x7093,x7091,x7092),f68(x7092))+E(x7091,f68(x7092))
% 2.56/2.91 [710]~P77(x7102)+~E(f71(x7101,x7103,x7102),f4(x7102))+E(x7101,f4(x7102))
% 2.56/2.91 [711]~P3(x7112)+~E(f62(x7111,x7113,x7112),f60(x7112))+E(x7111,f60(x7112))
% 2.56/2.91 [712]~P3(x7122)+~E(f61(x7121,x7123,x7122),f68(x7122))+E(x7121,f68(x7122))
% 2.56/2.91 [748]~P25(x7483)+~P20(x7482,x7481,x7483)+E(f61(x7481,x7482,x7483),x7482)
% 2.56/2.91 [749]~P25(x7493)+~P20(x7491,x7492,x7493)+E(f61(x7491,x7492,x7493),x7491)
% 2.56/2.91 [750]~P26(x7503)+~P20(x7501,x7502,x7503)+E(f62(x7501,x7502,x7503),x7502)
% 2.56/2.91 [751]~P26(x7513)+~P20(x7512,x7511,x7513)+E(f62(x7511,x7512,x7513),x7511)
% 2.56/2.91 [752]~P25(x7523)+P20(x7521,x7522,x7523)+~E(f61(x7521,x7522,x7523),x7521)
% 2.56/2.91 [753]~P26(x7533)+P20(x7531,x7532,x7533)+~E(f62(x7531,x7532,x7533),x7532)
% 2.56/2.91 [764]P8(x7641,x7642)+~P8(x7643,x7642)+~P20(x7641,x7643,f90(x7642,a2))
% 2.56/2.91 [905]E(x9051,x9052)+~P20(x9051,x9052,f90(x9053,a2))+~P20(x9052,x9051,f90(x9053,a2))
% 2.56/2.91 [908]~P8(x9083,x9082)+~P20(x9081,x9083,f90(x9082,a2))+P20(f5(x9081,x9082),f5(x9083,x9082),a1)
% 2.56/2.91 [938]~P56(x9381)+~P20(f4(x9381),x9382,x9381)+P20(f4(x9381),f71(x9382,x9383,x9381),x9381)
% 2.56/2.91 [939]~P56(x9391)+~P20(f54(x9391),x9392,x9391)+P20(f54(x9391),f71(x9392,x9393,x9391),x9391)
% 2.56/2.91 [672]~P38(x6723)+E(x6721,x6722)+~E(f85(f49(x6723),x6721),f85(f49(x6723),x6722))
% 2.56/2.91 [673]~P4(x6733)+E(x6731,x6732)+~E(f85(f49(x6733),x6731),f85(f49(x6733),x6732))
% 2.56/2.91 [674]~P28(x6743)+E(x6741,x6742)+~E(f85(f63(x6743),x6741),f85(f63(x6743),x6742))
% 2.56/2.91 [807]~P54(x8072)+~P19(x8071,x8073,x8072)+P19(x8071,f85(f49(x8072),x8073),x8072)
% 2.56/2.91 [808]~P54(x8081)+~P19(x8082,x8083,x8081)+P19(f85(f49(x8081),x8082),x8083,x8081)
% 2.56/2.91 [847]~P54(x8473)+P19(x8471,x8472,x8473)+~P19(x8471,f85(f49(x8473),x8472),x8473)
% 2.56/2.91 [848]~P54(x8483)+P19(x8481,x8482,x8483)+~P19(f85(f49(x8483),x8481),x8482,x8483)
% 2.56/2.91 [852]~P8(x8522,x8523)+~P8(x8521,x8523)+P8(f62(x8521,x8522,f90(x8523,a2)),x8523)
% 2.56/2.91 [861]~P56(x8611)+~P20(x8612,x8613,a1)+P20(f85(f63(x8611),x8612),f85(f63(x8611),x8613),x8611)
% 2.56/2.91 [874]~P44(x8741)+~P20(x8743,x8742,x8741)+P20(f85(f49(x8741),x8742),f85(f49(x8741),x8743),x8741)
% 2.56/2.91 [896]P16(x8961,x8962)+~P16(x8963,x8962)+~P20(x8961,x8963,f90(f91(x8962,x8962),a2))
% 2.56/2.91 [897]P18(x8971,x8972)+~P18(x8973,x8972)+~P20(x8971,x8973,f90(f91(x8972,x8972),a2))
% 2.56/2.91 [898]P7(x8981,x8982)+~P7(x8983,x8982)+~P20(x8981,x8983,f90(f91(x8982,x8982),a2))
% 2.56/2.91 [901]~P44(x9012)+~P20(x9013,f85(f49(x9012),x9011),x9012)+P20(x9011,f85(f49(x9012),x9013),x9012)
% 2.56/2.91 [903]~P44(x9031)+~P20(f85(f49(x9031),x9033),x9032,x9031)+P20(f85(f49(x9031),x9032),x9033,x9031)
% 2.56/2.91 [934]~P56(x9343)+P20(x9341,x9342,a1)+~P20(f85(f63(x9343),x9341),f85(f63(x9343),x9342),x9343)
% 2.56/2.91 [935]~P44(x9353)+P20(x9351,x9352,x9353)+~P20(f85(f49(x9353),x9352),f85(f49(x9353),x9351),x9353)
% 2.56/2.91 [1070]P83(f85(x10701,x10702))+~P83(f85(x10701,f103(x10701,x10703)))+~P83(f85(f85(f86(a88),x10702),f82(x10703,a88)))
% 2.56/2.91 [1071]P83(f85(x10711,x10712))+~P83(f85(x10711,f104(x10711,x10713)))+~P83(f85(f85(f86(a88),x10712),f82(x10713,a88)))
% 2.56/2.91 [1188]E(f75(x11881,x11882),f75(x11883,x11882))+~P20(x11881,f75(x11883,x11882),f90(f91(x11882,x11882),a2))+~P20(x11883,x11881,f90(f91(x11882,x11882),a2))
% 2.56/2.91 [1371]~P16(x13713,x13712)+~P20(x13711,f77(x13713,x13711,x13712,x13712),f90(x13712,a2))+E(x13711,f60(f90(x13712,a2)))
% 2.56/2.91 [1618]E(x16181,x16182)+~P83(f85(f85(f86(f91(a88,a88)),f69(x16181,x16182,a88,a88)),f75(x16183,a88)))+P83(f85(f85(f86(f91(a88,a88)),f69(x16181,f106(x16181,x16182,x16183),a88,a88)),f75(x16183,a88)))
% 2.56/2.91 [696]~P29(x6963)+E(x6961,x6962)+~E(f85(f85(f55(x6963),x6961),x6962),f4(x6963))
% 2.56/2.91 [697]~P38(x6973)+E(x6971,x6972)+~E(f85(f85(f55(x6973),x6971),x6972),f4(x6973))
% 2.56/2.91 [733]~P38(x7332)+E(x7331,f85(f49(x7332),x7333))+~E(f85(f85(f58(x7332),x7331),x7333),f4(x7332))
% 2.56/2.91 [734]~P38(x7341)+E(f85(f49(x7341),x7342),x7343)+~E(f85(f85(f58(x7341),x7342),x7343),f4(x7341))
% 2.56/2.91 [781]~P49(x7813)+P20(x7811,x7812,x7813)+P83(f85(f85(f50(x7813),x7812),x7811))
% 2.56/2.91 [881]~P50(x8813)+P20(x8811,x8812,x8813)+~P83(f85(f85(f50(x8813),x8811),x8812))
% 2.56/2.91 [882]~P52(x8823)+P20(x8821,x8822,x8823)+~P83(f85(f85(f50(x8823),x8821),x8822))
% 2.56/2.91 [883]~P62(x8832)+E(x8831,f4(x8832))+E(f85(f85(f56(x8832),f85(f49(x8832),x8833)),f85(f49(x8832),x8831)),f85(f85(f56(x8832),x8833),x8831))
% 2.56/2.91 [887]~P58(x8871)+~P62(x8871)+E(f85(f85(f56(x8871),f85(f49(x8871),x8872)),f85(f49(x8871),x8873)),f85(f85(f56(x8871),x8872),x8873))
% 2.56/2.91 [917]~P44(x9171)+~P20(x9172,x9173,x9171)+P20(f85(f85(f55(x9171),x9172),x9173),f4(x9171),x9171)
% 2.56/2.91 [922]~P49(x9221)+~P20(x9222,x9223,x9221)+~P83(f85(f85(f50(x9221),x9223),x9222))
% 2.56/2.91 [924]~P52(x9241)+~P20(x9242,x9243,x9241)+~P83(f85(f85(f50(x9241),x9243),x9242))
% 2.56/2.91 [987]~P6(x9872,x9873)+~P6(x9871,x9873)+P6(f62(x9871,x9872,f90(f91(x9873,x9873),a2)),x9873)
% 2.56/2.91 [988]~P39(x9881)+~P20(x9882,f85(f49(x9881),x9883),x9881)+P20(f85(f85(f58(x9881),x9882),x9883),f4(x9881),x9881)
% 2.56/2.91 [989]~P44(x9893)+P20(x9891,x9892,x9893)+~P20(f85(f85(f55(x9893),x9891),x9892),f4(x9893),x9893)
% 2.56/2.91 [995]~P8(x9952,x9953)+E(f5(f78(x9951,x9952,x9953),x9953),f5(x9952,x9953))+~P83(f85(f85(f86(x9953),x9951),x9952))
% 2.56/2.91 [1006]~P1(x10063)+P19(x10061,f71(x10061,x10062,x10063),x10063)+~P83(f85(f85(f50(a1),f4(a1)),x10062))
% 2.56/2.91 [1019]~P49(x10191)+~P83(f85(f85(f50(x10191),x10193),x10192))+~P83(f85(f85(f50(x10191),x10192),x10193))
% 2.56/2.91 [1020]~P50(x10201)+~P83(f85(f85(f50(x10201),x10203),x10202))+~P83(f85(f85(f50(x10201),x10202),x10203))
% 2.56/2.91 [1022]~P52(x10221)+~P83(f85(f85(f50(x10221),x10223),x10222))+~P83(f85(f85(f50(x10221),x10222),x10223))
% 2.56/2.91 [1034]~P39(x10342)+P20(x10341,f85(f49(x10342),x10343),x10342)+~P20(f85(f85(f58(x10342),x10341),x10343),f4(x10342),x10342)
% 2.56/2.91 [1190]~P44(x11901)+~P83(f85(f85(f50(x11901),x11903),f85(f49(x11901),x11902)))+P83(f85(f85(f50(x11901),x11902),f85(f49(x11901),x11903)))
% 2.56/2.91 [1197]~P56(x11971)+P83(f85(f85(f50(x11971),f85(f63(x11971),x11972)),f85(f63(x11971),x11973)))+~P83(f85(f85(f50(a1),x11972),x11973))
% 2.56/2.91 [1205]~P44(x12051)+~P83(f85(f85(f50(x12051),x12053),x12052))+P83(f85(f85(f50(x12051),f85(f49(x12051),x12052)),f85(f49(x12051),x12053)))
% 2.56/2.91 [1229]~P56(x12291)+P83(f85(f85(f50(x12291),f4(x12291)),f71(x12292,x12293,x12291)))+~P83(f85(f85(f50(x12291),f4(x12291)),x12292))
% 2.56/2.91 [1243]~P20(x12431,f78(x12433,f60(f90(x12432,a2)),x12432),f90(x12432,a2))+E(x12431,f60(f90(x12432,a2)))+E(x12431,f78(x12433,f60(f90(x12432,a2)),x12432))
% 2.56/2.91 [1263]~P56(x12633)+~P83(f85(f85(f50(x12633),f85(f63(x12633),x12631)),f85(f63(x12633),x12632)))+P83(f85(f85(f50(a1),x12631),x12632))
% 2.56/2.91 [1269]~P44(x12691)+~P83(f85(f85(f50(x12691),f85(f49(x12691),x12693)),f85(f49(x12691),x12692)))+P83(f85(f85(f50(x12691),x12692),x12693))
% 2.56/2.91 [1287]~P44(x12871)+P83(f85(f85(f50(x12871),f85(f85(f55(x12871),x12872),x12873)),f4(x12871)))+~P83(f85(f85(f50(x12871),x12872),x12873))
% 2.56/2.91 [1369]~P44(x13691)+~P83(f85(f85(f50(x13691),f85(f85(f55(x13691),x13692),x13693)),f4(x13691)))+P83(f85(f85(f50(x13691),x13692),x13693))
% 2.56/2.91 [1374]~P56(x13741)+~P83(f85(f85(f50(x13741),f54(x13741)),x13742))+P83(f85(f85(f50(x13741),f54(x13741)),f85(f85(f59(x13741),x13742),f71(x13742,x13743,x13741))))
% 2.56/2.91 [1447]~P56(x14471)+P83(f85(f85(f50(x14471),f71(x14472,x14473,x14471)),f85(f85(f59(x14471),x14472),f71(x14472,x14473,x14471))))+~P83(f85(f85(f50(x14471),f54(x14471)),x14472))
% 2.56/2.91 [1677]P83(f85(f85(f86(f91(a88,a88)),f69(x16771,x16772,a88,a88)),x16773))+~P83(f85(f85(f86(f91(a88,a88)),f69(x16771,x16772,a88,a88)),f80(x16773,f75(x16773,a88),a88,a88,a88)))+P83(f85(f85(f86(f91(a88,a88)),f69(x16771,f107(x16771,x16772,x16773),a88,a88)),f80(x16773,f75(x16773,a88),a88,a88,a88)))
% 2.56/2.91 [875]~P62(x8752)+E(x8751,f4(x8752))+E(f85(f85(f56(x8752),x8753),f85(f49(x8752),x8751)),f85(f49(x8752),f85(f85(f56(x8752),x8753),x8751)))
% 2.56/2.91 [879]~P58(x8791)+~P62(x8791)+E(f85(f85(f56(x8791),x8792),f85(f49(x8791),x8793)),f85(f49(x8791),f85(f85(f56(x8791),x8792),x8793)))
% 2.56/2.91 [1053]~P58(x10531)+~P62(x10531)+E(f71(f85(f85(f56(x10531),f54(x10531)),x10532),x10533,x10531),f85(f85(f56(x10531),f54(x10531)),f71(x10532,x10533,x10531)))
% 2.56/2.91 [1240]~P68(x12402)+E(x12401,f4(x12402))+~E(f85(f85(f58(x12402),f85(f85(f59(x12402),x12403),x12403)),f85(f85(f59(x12402),x12401),x12401)),f4(x12402))
% 2.56/2.91 [1241]~P68(x12412)+E(x12411,f4(x12412))+~E(f85(f85(f58(x12412),f85(f85(f59(x12412),x12411),x12411)),f85(f85(f59(x12412),x12413),x12413)),f4(x12412))
% 2.56/2.91 [1280]~P44(x12801)+~P83(f85(f85(f50(x12801),f85(f49(x12801),x12803)),x12802))+P83(f85(f85(f50(x12801),f85(f49(x12801),x12802)),x12803))
% 2.56/2.91 [1423]~P68(x14232)+E(x14231,f4(x14232))+~P20(f85(f85(f58(x14232),f85(f85(f59(x14232),x14233),x14233)),f85(f85(f59(x14232),x14231),x14231)),f4(x14232),x14232)
% 2.56/2.91 [1424]~P68(x14242)+E(x14241,f4(x14242))+~P20(f85(f85(f58(x14242),f85(f85(f59(x14242),x14241),x14241)),f85(f85(f59(x14242),x14243),x14243)),f4(x14242),x14242)
% 2.56/2.91 [1478]~P67(x14781)+~P83(f85(f85(f50(x14781),x14782),x14783))+P83(f85(f85(f50(x14781),x14782),f85(f85(f56(x14781),f85(f85(f58(x14781),x14782),x14783)),f85(f85(f58(x14781),f54(x14781)),f54(x14781)))))
% 2.56/2.91 [1617]E(x16171,x16172)+~P83(f85(f85(f86(f91(a88,a88)),f69(x16171,x16172,a88,a88)),f75(x16173,a88)))+P83(f85(f85(f86(f91(a88,a88)),f69(f106(x16171,x16172,x16173),x16172,a88,a88)),x16173))
% 2.56/2.91 [1667]P83(f85(f85(f86(f91(a88,a88)),f69(x16671,x16672,a88,a88)),x16673))+~P83(f85(f85(f86(f91(a88,a88)),f69(x16671,x16672,a88,a88)),f80(x16673,f75(x16673,a88),a88,a88,a88)))+P83(f85(f85(f86(f91(a88,a88)),f69(f107(x16671,x16672,x16673),x16672,a88,a88)),x16673))
% 2.56/2.91 [937]~P62(x9372)+E(x9371,f4(x9372))+E(f85(f85(f56(x9372),f85(f85(f59(x9372),x9373),x9371)),x9371),x9373)
% 2.56/2.91 [1462]~P68(x14622)+E(x14621,f4(x14622))+P83(f85(f85(f50(x14622),f4(x14622)),f85(f85(f58(x14622),f85(f85(f59(x14622),x14623),x14623)),f85(f85(f59(x14622),x14621),x14621))))
% 2.56/2.91 [1463]~P68(x14632)+E(x14631,f4(x14632))+P83(f85(f85(f50(x14632),f4(x14632)),f85(f85(f58(x14632),f85(f85(f59(x14632),x14631),x14631)),f85(f85(f59(x14632),x14633),x14633))))
% 2.56/2.91 [1526]~P67(x15261)+~P83(f85(f85(f50(x15261),x15262),x15263))+P83(f85(f85(f50(x15261),f85(f85(f56(x15261),f85(f85(f58(x15261),x15262),x15263)),f85(f85(f58(x15261),f54(x15261)),f54(x15261)))),x15263))
% 2.56/2.91 [825]~P20(x8253,x8251,f90(x8254,a2))+P83(f85(x8251,x8252))+~P83(f85(x8253,x8252))
% 2.56/2.91 [912]~P26(x9124)+~P20(x9121,x9123,x9124)+P20(x9121,f62(x9122,x9123,x9124),x9124)
% 2.56/2.91 [913]~P26(x9134)+~P20(x9131,x9132,x9134)+P20(x9131,f62(x9132,x9133,x9134),x9134)
% 2.56/2.91 [914]~P25(x9143)+~P20(x9142,x9144,x9143)+P20(f61(x9141,x9142,x9143),x9144,x9143)
% 2.56/2.91 [915]~P25(x9153)+~P20(x9151,x9154,x9153)+P20(f61(x9151,x9152,x9153),x9154,x9153)
% 2.56/2.91 [943]P8(x9432,x9433)+~P36(x9434)+E(f53(x9431,x9432,x9433,x9434),f54(x9434))
% 2.56/2.91 [980]~P25(x9803)+P20(x9801,x9802,x9803)+~P20(x9801,f61(x9804,x9802,x9803),x9803)
% 2.56/2.91 [982]~P25(x9823)+P20(x9821,x9822,x9823)+~P20(x9821,f61(x9822,x9824,x9823),x9823)
% 2.56/2.91 [984]~P26(x9843)+P20(x9841,x9842,x9843)+~P20(f62(x9844,x9841,x9843),x9842,x9843)
% 2.56/2.91 [986]~P26(x9863)+P20(x9861,x9862,x9863)+~P20(f62(x9861,x9864,x9863),x9862,x9863)
% 2.56/2.91 [990]~P20(x9901,x9904,f90(x9903,a2))+~P20(x9904,x9902,f90(x9903,a2))+P20(x9901,x9902,f90(x9903,a2))
% 2.56/2.91 [1035]~P1(x10353)+~P20(x10352,x10354,a1)+P19(f71(x10351,x10352,x10353),f71(x10351,x10354,x10353),x10353)
% 2.56/2.91 [1037]~P1(x10373)+~P19(x10371,x10374,x10373)+P19(f71(x10371,x10372,x10373),f71(x10374,x10372,x10373),x10373)
% 2.56/2.91 [1023]P13(x10231,x10232,x10233)+~P13(x10234,x10232,x10233)+~P20(x10231,x10234,f90(f91(x10232,x10233),a2))
% 2.56/2.91 [1108]E(x11081,x11082)+P83(f85(x11083,x11081))+~P83(f85(f78(x11082,x11083,x11084),x11081))
% 2.56/2.91 [1138]~P16(x11383,x11384)+P83(f85(x11381,x11382))+~P83(f85(x11381,f44(x11381,x11383,x11384)))
% 2.56/2.91 [1139]~P16(x11393,x11394)+P83(f85(x11391,x11392))+~P83(f85(x11391,f64(x11391,x11393,x11394)))
% 2.56/2.91 [1140]~P16(x11403,x11404)+P83(f85(x11401,x11402))+~P83(f85(x11401,f45(x11401,x11403,x11404)))
% 2.56/2.91 [1141]~P16(x11413,x11414)+P83(f85(x11411,x11412))+~P83(f85(x11411,f47(x11411,x11413,x11414)))
% 2.56/2.91 [1182]~P20(x11821,x11822,f90(x11824,a2))+~P20(x11821,x11823,f90(x11824,a2))+P20(x11821,f61(x11822,x11823,f90(x11824,a2)),f90(x11824,a2))
% 2.56/2.91 [1184]~P20(x11841,x11844,f90(x11843,a2))+~P20(x11842,x11844,f90(x11843,a2))+P20(f62(x11841,x11842,f90(x11843,a2)),x11844,f90(x11843,a2))
% 2.56/2.91 [1275]P83(f85(x12751,x12752))+~P83(f85(f85(f86(x12754),x12752),f82(x12753,x12754)))+~P83(f85(x12751,f13(x12751,x12753,x12754)))
% 2.56/2.91 [1276]P83(f85(x12761,x12762))+~P83(f85(f85(f86(x12764),x12762),f82(x12763,x12764)))+~P83(f85(x12761,f41(x12761,x12763,x12764)))
% 2.56/2.91 [1347]P83(f85(x13471,x13472))+P83(f85(f85(f86(x13473),f13(x13471,x13474,x13473)),f82(x13474,x13473)))+~P83(f85(f85(f86(x13473),x13472),f82(x13474,x13473)))
% 2.56/2.91 [1348]P83(f85(x13481,x13482))+P83(f85(f85(f86(x13483),f41(x13481,x13484,x13483)),f82(x13484,x13483)))+~P83(f85(f85(f86(x13483),x13482),f82(x13484,x13483)))
% 2.56/2.91 [1383]~P36(x13834)+E(f53(x13831,x13832,x13833,x13834),f54(x13834))+~E(f85(x13831,f17(x13832,x13831,x13833,x13834)),f54(x13834))
% 2.56/2.91 [1527]~P16(x15274,x15273)+P16(f78(f69(x15271,x15272,x15273,x15273),x15274,f91(x15273,x15273)),x15273)+P83(f85(f85(f86(f91(x15273,x15273)),f69(x15272,x15271,x15273,x15273)),f75(x15274,x15273)))
% 2.56/2.91 [1528]~P18(x15284,x15283)+P18(f78(f69(x15281,x15282,x15283,x15283),x15284,f91(x15283,x15283)),x15283)+P83(f85(f85(f86(f91(x15283,x15283)),f69(x15282,x15281,x15283,x15283)),f75(x15284,x15283)))
% 2.56/2.91 [1549]E(x15491,x15492)+~P83(f85(f85(f86(f91(x15493,x15493)),f69(x15491,x15492,x15493,x15493)),f75(x15494,x15493)))+P83(f85(f85(f86(x15493),x15491),f67(x15494,x15493,x15493)))
% 2.56/2.91 [1555]~P83(f85(f85(f86(f91(x15551,x15551)),f69(x15552,x15554,x15551,x15551)),f75(x15553,x15551)))+P83(f85(f85(f86(x15551),x15552),f82(x15553,x15551)))+~P83(f85(f85(f86(x15551),x15554),f82(x15553,x15551)))
% 2.56/2.91 [1640]E(x16401,x16402)+P83(f85(f85(f86(f91(x16403,x16403)),f69(x16401,f34(x16401,x16402,x16404,x16403),x16403,x16403)),f75(x16404,x16403)))+~P83(f85(f85(f86(f91(x16403,x16403)),f69(x16401,x16402,x16403,x16403)),f75(x16404,x16403)))
% 2.56/2.91 [1641]E(x16411,x16412)+P83(f85(f85(f86(f91(x16413,x16413)),f69(f31(x16414,x16411,x16412,x16413),x16412,x16413,x16413)),f75(x16414,x16413)))+~P83(f85(f85(f86(f91(x16413,x16413)),f69(x16411,x16412,x16413,x16413)),f75(x16414,x16413)))
% 2.56/2.91 [736]P8(x7364,x7361)+~P2(x7362)+E(f85(f85(f52(x7361,x7362),x7363),x7364),f4(x7362))
% 2.56/2.91 [788]~P30(x7883)+E(x7881,x7882)+~E(f85(f85(f58(x7883),x7884),x7881),f85(f85(f58(x7883),x7884),x7882))
% 2.56/2.91 [789]~P33(x7893)+E(x7891,x7892)+~E(f85(f85(f58(x7893),x7894),x7891),f85(f85(f58(x7893),x7894),x7892))
% 2.56/2.91 [790]~P29(x7903)+E(x7901,x7902)+~E(f85(f85(f55(x7903),x7904),x7904),f85(f85(f55(x7903),x7901),x7902))
% 2.56/2.91 [791]~P33(x7913)+E(x7911,x7912)+~E(f85(f85(f58(x7913),x7911),x7914),f85(f85(f58(x7913),x7912),x7914))
% 2.56/2.91 [792]~P29(x7923)+E(x7921,x7922)+~E(f85(f85(f55(x7923),x7921),x7922),f85(f85(f55(x7923),x7924),x7924))
% 2.56/2.91 [909]~P1(x9092)+~P19(x9091,x9094,x9092)+P19(x9091,f85(f85(f59(x9092),x9093),x9094),x9092)
% 2.56/2.91 [910]~P1(x9102)+~P19(x9101,x9103,x9102)+P19(x9101,f85(f85(f59(x9102),x9103),x9104),x9102)
% 2.56/2.91 [965]~P1(x9653)+P19(x9651,x9652,x9653)+~P19(f85(f85(f59(x9653),x9654),x9651),x9652,x9653)
% 2.56/2.91 [966]~P1(x9663)+P19(x9661,x9662,x9663)+~P19(f85(f85(f59(x9663),x9661),x9664),x9662,x9663)
% 2.56/2.91 [1025]~P34(x10251)+~P20(x10252,x10254,x10251)+P20(f85(f85(f58(x10251),x10252),x10253),f85(f85(f58(x10251),x10254),x10253),x10251)
% 2.56/2.91 [1026]~P42(x10261)+~P20(x10262,x10264,x10261)+P20(f85(f85(f58(x10261),x10262),x10263),f85(f85(f58(x10261),x10264),x10263),x10261)
% 2.56/2.91 [1027]~P34(x10271)+~P20(x10273,x10274,x10271)+P20(f85(f85(f58(x10271),x10272),x10273),f85(f85(f58(x10271),x10272),x10274),x10271)
% 2.56/2.91 [1028]~P42(x10281)+~P20(x10283,x10284,x10281)+P20(f85(f85(f58(x10281),x10282),x10283),f85(f85(f58(x10281),x10282),x10284),x10281)
% 2.56/2.91 [1029]~P63(x10291)+~P19(x10292,x10294,x10291)+P19(f85(f85(f59(x10291),x10292),x10293),f85(f85(f59(x10291),x10294),x10293),x10291)
% 2.56/2.91 [1030]~P63(x10301)+~P19(x10303,x10304,x10301)+P19(f85(f85(f59(x10301),x10302),x10303),f85(f85(f59(x10301),x10302),x10304),x10301)
% 2.56/2.91 [1101]~P20(x11014,x11013,f90(x11011,a2))+~P83(f85(f85(f86(x11011),x11012),x11014))+P83(f85(f85(f86(x11011),x11012),x11013))
% 2.56/2.91 [1130]~P83(f85(x11302,x11304))+~P83(f85(x11301,x11304))+P83(f85(f61(x11301,x11302,f90(x11303,a2)),x11304))
% 2.56/2.91 [1172]~P34(x11723)+P20(x11721,x11722,x11723)+~P20(f85(f85(f58(x11723),x11724),x11721),f85(f85(f58(x11723),x11724),x11722),x11723)
% 2.56/2.91 [1173]~P34(x11733)+P20(x11731,x11732,x11733)+~P20(f85(f85(f58(x11733),x11731),x11734),f85(f85(f58(x11733),x11732),x11734),x11733)
% 2.56/2.91 [1179]~P20(x11791,f78(x11794,x11792,x11793),f90(x11793,a2))+P20(x11791,x11792,f90(x11793,a2))+P83(f85(f85(f86(x11793),x11794),x11791))
% 2.56/2.91 [1180]~P20(x11802,x11804,f90(x11803,a2))+P20(f78(x11801,x11802,x11803),x11804,f90(x11803,a2))+~P83(f85(f85(f86(x11803),x11801),x11804))
% 2.56/2.91 [1199]~P26(x11991)+P83(f85(f85(f50(x11991),x11992),f62(x11993,x11994,x11991)))+~P83(f85(f85(f50(x11991),x11992),x11994))
% 2.56/2.91 [1200]~P26(x12001)+P83(f85(f85(f50(x12001),x12002),f62(x12003,x12004,x12001)))+~P83(f85(f85(f50(x12001),x12002),x12003))
% 2.56/2.91 [1202]~E(f61(x12021,x12022,f90(x12023,a2)),f60(f90(x12023,a2)))+~P83(f85(f85(f86(x12023),x12024),x12021))+~P83(f85(f85(f86(x12023),x12024),x12022))
% 2.56/2.91 [1242]P83(f85(x12421,x12422))+P83(f85(x12423,x12422))+~P83(f85(f62(x12421,x12423,f90(x12424,a2)),x12422))
% 2.56/2.91 [1247]E(x12471,x12472)+~P83(f85(f85(f86(x12473),x12471),f78(x12472,x12474,x12473)))+P83(f85(f85(f86(x12473),x12471),x12474))
% 2.56/2.91 [1288]~P25(x12881)+~P83(f85(f85(f50(x12881),x12883),x12884))+P83(f85(f85(f50(x12881),f61(x12882,x12883,x12881)),x12884))
% 2.56/2.91 [1289]~P25(x12891)+~P83(f85(f85(f50(x12891),x12892),x12894))+P83(f85(f85(f50(x12891),f61(x12892,x12893,x12891)),x12894))
% 2.56/2.91 [1295]~P16(x12953,x12951)+P83(f85(f85(f86(x12951),f46(x12952,x12953,x12951)),x12952))+~P83(f85(f85(f86(x12951),x12954),x12952))
% 2.56/2.91 [1296]~P16(x12963,x12961)+P83(f85(f85(f86(x12961),f42(x12962,x12963,x12961)),x12962))+~P83(f85(f85(f86(x12961),x12964),x12962))
% 2.56/2.91 [1311]~P83(f85(f85(f86(x13111),x13112),x13114))+~P83(f85(f85(f86(x13111),x13112),x13113))+P83(f85(f85(f86(x13111),x13112),f61(x13113,x13114,f90(x13111,a2))))
% 2.56/2.91 [1346]P83(f85(f85(f86(x13461),x13462),x13463))+P83(f85(f85(f86(x13461),x13462),x13464))+~P83(f85(f85(f86(x13461),x13462),f62(x13463,x13464,f90(x13461,a2))))
% 2.56/2.91 [1356]~P2(x13562)+~E(f85(x13563,f15(x13564,x13563,x13561,x13562)),f4(x13562))+E(f85(f85(f52(x13561,x13562),x13563),x13564),f4(x13562))
% 2.56/2.91 [1493]~P2(x14932)+E(f85(f85(f52(x14931,x14932),x14933),x14934),f4(x14932))+P83(f85(f85(f86(x14931),f15(x14934,x14933,x14931,x14932)),x14934))
% 2.56/2.91 [1498]~P36(x14984)+E(f53(x14981,x14982,x14983,x14984),f54(x14984))+P83(f85(f85(f86(x14983),f17(x14982,x14981,x14983,x14984)),x14982))
% 2.56/2.91 [1509]~P14(x15094,x15093,x15091)+~P83(f85(f85(f86(x15091),x15092),x15094))+P83(f85(f85(f86(f91(x15091,x15091)),f69(x15092,x15092,x15091,x15091)),x15093))
% 2.56/2.91 [1521]~P36(x15211)+~P81(x15211)+E(f53(f7(f63(x15211),x15212,a1,x15211,x15213),x15214,x15213,x15211),f85(f63(x15211),f53(x15212,x15214,x15213,a1)))
% 2.56/2.91 [1522]~P56(x15224)+P83(f85(f85(f50(x15224),f4(x15224)),f53(x15223,x15222,x15221,x15224)))+P83(f85(f85(f86(x15221),f18(x15222,x15223,x15221,x15224)),x15222))
% 2.56/2.91 [1551]P83(f85(f85(f86(x15511),x15512),f82(x15513,x15511)))+~P83(f85(f85(f86(x15511),x15514),f82(x15513,x15511)))+~P83(f85(f85(f86(f91(x15511,x15511)),f69(x15512,x15514,x15511,x15511)),x15513))
% 2.56/2.91 [1566]~P56(x15661)+P83(f85(f85(f50(x15661),f4(x15661)),f53(x15662,x15663,x15664,x15661)))+~P83(f85(f85(f50(x15661),f4(x15661)),f85(x15662,f18(x15663,x15662,x15664,x15661))))
% 2.56/2.91 [1607]~P6(x16074,x16071)+~P83(f85(f85(f86(f91(x16071,x16071)),f69(x16073,x16072,x16071,x16071)),x16074))+P83(f85(f85(f86(f91(x16071,x16071)),f69(x16072,x16073,x16071,x16071)),x16074))
% 2.56/2.91 [1608]E(x16081,x16082)+~P83(f85(f85(f86(f91(a87,a87)),f69(x16083,x16081,a87,a87)),f85(f85(a8,x16084),x16082)))+P83(f85(f85(f86(f91(a87,a87)),f69(x16083,x16081,a87,a87)),x16084))
% 2.56/2.91 [1609]E(x16091,x16092)+~P83(f85(f85(f86(f91(a87,a87)),f69(x16091,x16093,a87,a87)),f85(f85(a9,x16094),x16092)))+P83(f85(f85(f86(f91(a87,a87)),f69(x16091,x16093,a87,a87)),x16094))
% 2.56/2.91 [1622]~P16(x16221,x16222)+~P83(f85(f85(f86(f91(x16222,x16222)),f69(x16224,x16223,x16222,x16222)),x16221))+~P83(f85(f85(f86(f91(x16222,x16222)),f69(x16223,x16224,x16222,x16222)),x16221))
% 2.56/2.91 [1647]E(x16471,x16472)+~P83(f85(f85(f86(f91(x16473,x16473)),f69(x16471,x16472,x16473,x16473)),f75(x16474,x16473)))+P83(f85(f85(f86(f91(x16473,x16473)),f69(x16471,x16472,x16473,x16473)),f80(x16474,f75(x16474,x16473),x16473,x16473,x16473)))
% 2.56/2.91 [1654]~P20(x16544,x16543,f90(f91(x16541,x16541),a2))+~P83(f85(f85(f86(f91(x16541,x16541)),x16542),f80(x16544,f75(x16544,x16541),x16541,x16541,x16541)))+P83(f85(f85(f86(f91(x16541,x16541)),x16542),f80(x16543,f75(x16543,x16541),x16541,x16541,x16541)))
% 2.56/2.91 [1686]P83(f85(f85(f86(f91(x16861,x16861)),f69(x16862,f40(x16862,x16863,x16864,x16861),x16861,x16861)),f80(x16864,f75(x16864,x16861),x16861,x16861,x16861)))+~P83(f85(f85(f86(f91(x16861,x16861)),f69(x16862,x16863,x16861,x16861)),f80(x16864,f75(x16864,x16861),x16861,x16861,x16861)))+P83(f85(f85(f86(f91(x16861,x16861)),f69(x16862,x16863,x16861,x16861)),x16864))
% 2.56/2.91 [1687]P83(f85(f85(f86(f91(x16871,x16871)),f69(f36(x16874,x16872,x16873,x16871),x16873,x16871,x16871)),f80(x16874,f75(x16874,x16871),x16871,x16871,x16871)))+~P83(f85(f85(f86(f91(x16871,x16871)),f69(x16872,x16873,x16871,x16871)),f80(x16874,f75(x16874,x16871),x16871,x16871,x16871)))+P83(f85(f85(f86(f91(x16871,x16871)),f69(x16872,x16873,x16871,x16871)),x16874))
% 2.56/2.91 [941]~P29(x9412)+E(x9411,f85(f49(x9412),x9413))+~E(f85(f85(f58(x9412),x9411),f85(f85(f58(x9412),x9414),x9413)),x9414)
% 2.56/2.91 [1222]~P62(x12222)+E(x12221,f4(x12222))+E(f85(f85(f56(x12222),f71(x12223,x12224,x12222)),f71(x12221,x12224,x12222)),f71(f85(f85(f56(x12222),x12223),x12221),x12224,x12222))
% 2.56/2.91 [1223]~P58(x12231)+~P62(x12231)+E(f85(f85(f56(x12231),f71(x12232,x12233,x12231)),f71(x12234,x12233,x12231)),f71(f85(f85(f56(x12231),x12232),x12234),x12233,x12231))
% 2.56/2.91 [1302]~P63(x13021)+~P22(x13021)+E(f85(f85(f58(x13021),f85(f85(f59(x13021),x13022),x13023)),f85(f85(f59(x13021),x13022),x13024)),f85(f85(f58(x13021),f85(f85(f59(x13021),x13022),x13024)),f85(f85(f59(x13021),x13022),x13023)))
% 2.56/2.91 [1352]~P34(x13521)+~P83(f85(f85(f50(x13521),x13522),x13524))+P83(f85(f85(f50(x13521),f85(f85(f58(x13521),x13522),x13523)),f85(f85(f58(x13521),x13524),x13523)))
% 2.56/2.91 [1353]~P47(x13531)+~P83(f85(f85(f50(x13531),x13532),x13534))+P83(f85(f85(f50(x13531),f85(f85(f58(x13531),x13532),x13533)),f85(f85(f58(x13531),x13534),x13533)))
% 2.56/2.91 [1354]~P34(x13541)+~P83(f85(f85(f50(x13541),x13543),x13544))+P83(f85(f85(f50(x13541),f85(f85(f58(x13541),x13542),x13543)),f85(f85(f58(x13541),x13542),x13544)))
% 2.56/2.91 [1355]~P47(x13551)+~P83(f85(f85(f50(x13551),x13553),x13554))+P83(f85(f85(f50(x13551),f85(f85(f58(x13551),x13552),x13553)),f85(f85(f58(x13551),x13552),x13554)))
% 2.56/2.91 [1425]~P34(x14251)+P83(f85(f85(f50(x14251),x14252),x14253))+~P83(f85(f85(f50(x14251),f85(f85(f58(x14251),x14254),x14252)),f85(f85(f58(x14251),x14254),x14253)))
% 2.56/2.91 [1426]~P34(x14261)+P83(f85(f85(f50(x14261),x14262),x14263))+~P83(f85(f85(f50(x14261),f85(f85(f58(x14261),x14262),x14264)),f85(f85(f58(x14261),x14263),x14264)))
% 2.56/2.91 [1637]E(x16371,x16372)+~P83(f85(f85(f86(f91(x16373,x16373)),f69(x16371,x16372,x16373,x16373)),f75(x16374,x16373)))+P83(f85(f85(f86(f91(x16373,x16373)),f69(x16371,f31(x16374,x16371,x16372,x16373),x16373,x16373)),x16374))
% 2.56/2.91 [1638]E(x16381,x16382)+~P83(f85(f85(f86(f91(x16383,x16383)),f69(x16381,x16382,x16383,x16383)),f75(x16384,x16383)))+P83(f85(f85(f86(f91(x16383,x16383)),f69(f34(x16381,x16382,x16384,x16383),x16382,x16383,x16383)),x16384))
% 2.56/2.91 [1674]~P83(f85(f85(f86(f91(x16741,x16741)),f69(x16742,x16743,x16741,x16741)),f80(x16744,f75(x16744,x16741),x16741,x16741,x16741)))+P83(f85(f85(f86(f91(x16741,x16741)),f69(x16742,x16743,x16741,x16741)),x16744))+P83(f85(f85(f86(f91(x16741,x16741)),f69(x16742,f36(x16744,x16742,x16743,x16741),x16741,x16741)),x16744))
% 2.56/2.91 [1675]~P83(f85(f85(f86(f91(x16751,x16751)),f69(x16752,x16753,x16751,x16751)),f80(x16754,f75(x16754,x16751),x16751,x16751,x16751)))+P83(f85(f85(f86(f91(x16751,x16751)),f69(x16752,x16753,x16751,x16751)),x16754))+P83(f85(f85(f86(f91(x16751,x16751)),f69(f40(x16752,x16753,x16754,x16751),x16753,x16751,x16751)),x16754))
% 2.56/2.91 [1211]~P58(x12111)+~P62(x12111)+E(f85(f85(f59(x12111),f85(f85(f56(x12111),x12112),x12113)),x12114),f85(f85(f56(x12111),f85(f85(f59(x12111),x12112),x12114)),x12113))
% 2.56/2.91 [1494]~P9(x14944,x14943,x14941)+~P83(f85(f85(f86(x14941),x14942),x14944))+P83(f85(f85(f86(x14941),x14942),f77(x14943,f78(x14942,f60(f90(x14941,a2)),x14941),x14941,x14941)))
% 2.56/2.91 [899]~P21(x8994)+P20(f85(x8991,x8992),f85(x8993,x8992),x8994)+~P20(x8991,x8993,f90(x8995,x8994))
% 2.56/2.91 [1510]~P13(x15102,x15104,x15105)+~P13(x15101,x15103,x15104)+P13(f80(x15101,x15102,x15103,x15104,x15105),x15103,x15105)
% 2.56/2.91 [1261]~P20(x12611,x12614,f90(x12613,a2))+~P20(x12612,x12615,f90(x12613,a2))+P20(f61(x12611,x12612,f90(x12613,a2)),f61(x12614,x12615,f90(x12613,a2)),f90(x12613,a2))
% 2.56/2.91 [1262]~P20(x12621,x12624,f90(x12623,a2))+~P20(x12622,x12625,f90(x12623,a2))+P20(f62(x12621,x12622,f90(x12623,a2)),f62(x12624,x12625,f90(x12623,a2)),f90(x12623,a2))
% 2.56/2.91 [1636]P83(f85(f85(f86(f91(x16361,x16361)),f69(x16362,x16363,x16361,x16361)),f75(x16364,x16361)))+~P83(f85(f85(f86(f91(x16361,x16361)),f69(x16362,x16365,x16361,x16361)),f75(x16364,x16361)))+~P83(f85(f85(f86(f91(x16361,x16361)),f69(x16365,x16363,x16361,x16361)),f75(x16364,x16361)))
% 2.56/2.91 [1268]~P14(x12682,x12685,x12683)+~P14(x12681,x12684,x12683)+P14(f62(x12681,x12682,f90(x12683,a2)),f62(x12684,x12685,f90(f91(x12683,x12683),a2)),x12683)
% 2.56/2.91 [1537]~P14(x15373,x15374,x15371)+~P83(f85(f85(f86(f91(x15371,x15371)),f69(x15375,x15372,x15371,x15371)),x15374))+P83(f85(f85(f86(x15371),x15372),x15373))
% 2.56/2.91 [1538]~P14(x15383,x15384,x15381)+~P83(f85(f85(f86(f91(x15381,x15381)),f69(x15382,x15385,x15381,x15381)),x15384))+P83(f85(f85(f86(x15381),x15382),x15383))
% 2.56/2.91 [1539]~P9(x15393,x15394,x15391)+~P83(f85(f85(f86(f91(x15391,x15391)),f69(x15395,x15392,x15391,x15391)),x15394))+P83(f85(f85(f86(x15391),x15392),x15393))
% 2.56/2.91 [1540]~P9(x15403,x15404,x15401)+~P83(f85(f85(f86(f91(x15401,x15401)),f69(x15402,x15405,x15401,x15401)),x15404))+P83(f85(f85(f86(x15401),x15402),x15403))
% 2.56/2.91 [1615]~P20(f85(x16154,x16152),f85(x16154,x16153),a1)+P83(f85(f85(f86(f91(x16151,x16151)),f69(x16152,x16153,x16151,x16151)),f84(x16154,x16155,x16151)))+~P83(f85(f85(f86(f91(x16151,x16151)),f69(x16152,x16153,x16151,x16151)),x16155))
% 2.56/2.91 [1634]P83(f85(f85(f86(f91(x16341,x16341)),f69(x16342,x16343,x16341,x16341)),f75(x16344,x16341)))+~P83(f85(f85(f86(f91(x16341,x16341)),f69(x16342,x16345,x16341,x16341)),f75(x16344,x16341)))+~P83(f85(f85(f86(f91(x16341,x16341)),f69(x16345,x16343,x16341,x16341)),x16344))
% 2.56/2.91 [1635]P83(f85(f85(f86(f91(x16351,x16351)),f69(x16352,x16353,x16351,x16351)),f75(x16354,x16351)))+~P83(f85(f85(f86(f91(x16351,x16351)),f69(x16355,x16353,x16351,x16351)),f75(x16354,x16351)))+~P83(f85(f85(f86(f91(x16351,x16351)),f69(x16352,x16355,x16351,x16351)),x16354))
% 2.56/2.91 [1661]~P83(f85(f85(f86(f91(x16611,x16611)),f69(x16612,x16615,x16611,x16611)),x16614))+P83(f85(f85(f86(f91(x16611,x16611)),f69(x16612,x16613,x16611,x16611)),f80(x16614,f75(x16614,x16611),x16611,x16611,x16611)))+~P83(f85(f85(f86(f91(x16611,x16611)),f69(x16615,x16613,x16611,x16611)),x16614))
% 2.56/2.91 [1662]~P83(f85(f85(f86(f91(x16621,x16621)),f69(x16622,x16625,x16621,x16621)),f75(x16624,x16621)))+P83(f85(f85(f86(f91(x16621,x16621)),f69(x16622,x16623,x16621,x16621)),f80(x16624,f75(x16624,x16621),x16621,x16621,x16621)))+~P83(f85(f85(f86(f91(x16621,x16621)),f69(x16625,x16623,x16621,x16621)),x16624))
% 2.56/2.91 [1678]P83(f85(f85(f86(f91(x16781,x16781)),f69(x16782,x16783,x16781,x16781)),f80(x16784,f75(x16784,x16781),x16781,x16781,x16781)))+~P83(f85(f85(f86(f91(x16781,x16781)),f69(x16782,x16785,x16781,x16781)),f80(x16784,f75(x16784,x16781),x16781,x16781,x16781)))+~P83(f85(f85(f86(f91(x16781,x16781)),f69(x16785,x16783,x16781,x16781)),x16784))
% 2.56/2.91 [1679]P83(f85(f85(f86(f91(x16791,x16791)),f69(x16792,x16793,x16791,x16791)),f80(x16794,f75(x16794,x16791),x16791,x16791,x16791)))+~P83(f85(f85(f86(f91(x16791,x16791)),f69(x16795,x16793,x16791,x16791)),f80(x16794,f75(x16794,x16791),x16791,x16791,x16791)))+~P83(f85(f85(f86(f91(x16791,x16791)),f69(x16792,x16795,x16791,x16791)),x16794))
% 2.56/2.91 [1680]~P83(f85(f85(f86(f91(x16801,x16801)),f69(x16805,x16803,x16801,x16801)),f75(x16804,x16801)))+P83(f85(f85(f86(f91(x16801,x16801)),f69(x16802,x16803,x16801,x16801)),f80(x16804,f75(x16804,x16801),x16801,x16801,x16801)))+~P83(f85(f85(f86(f91(x16801,x16801)),f69(x16802,x16805,x16801,x16801)),f80(x16804,f75(x16804,x16801),x16801,x16801,x16801)))
% 2.56/2.91 [1681]~P83(f85(f85(f86(f91(x16811,x16811)),f69(x16812,x16815,x16811,x16811)),f75(x16814,x16811)))+P83(f85(f85(f86(f91(x16811,x16811)),f69(x16812,x16813,x16811,x16811)),f80(x16814,f75(x16814,x16811),x16811,x16811,x16811)))+~P83(f85(f85(f86(f91(x16811,x16811)),f69(x16815,x16813,x16811,x16811)),f80(x16814,f75(x16814,x16811),x16811,x16811,x16811)))
% 2.56/2.91 [1690]P83(f85(f85(f86(f91(x16901,x16901)),f69(x16902,x16903,x16901,x16901)),f80(x16904,f75(x16904,x16901),x16901,x16901,x16901)))+~P83(f85(f85(f86(f91(x16901,x16901)),f69(x16902,x16905,x16901,x16901)),f80(x16904,f75(x16904,x16901),x16901,x16901,x16901)))+~P83(f85(f85(f86(f91(x16901,x16901)),f69(x16905,x16903,x16901,x16901)),f80(x16904,f75(x16904,x16901),x16901,x16901,x16901)))
% 2.56/2.91 [1076]~P29(x10761)+E(f85(f85(f58(x10761),x10762),x10763),x10764)+~E(f85(f85(f58(x10761),x10762),f85(f85(f58(x10761),x10765),x10763)),f85(f85(f58(x10761),x10765),x10764))
% 2.56/2.91 [1303]~P58(x13031)+~P62(x13031)+E(f85(f85(f59(x13031),f85(f85(f56(x13031),x13032),x13033)),f85(f85(f56(x13031),x13034),x13035)),f85(f85(f56(x13031),f85(f85(f59(x13031),x13032),x13034)),f85(f85(f59(x13031),x13033),x13035)))
% 2.56/2.91 [1338]E(x13381,x13382)+E(x13381,x13383)+~E(f78(x13384,f78(x13381,f60(f90(x13385,a2)),x13385),x13385),f78(x13383,f78(x13382,f60(f90(x13385,a2)),x13385),x13385))
% 2.56/2.91 [1339]E(x13391,x13392)+E(x13393,x13392)+~E(f78(x13393,f78(x13391,f60(f90(x13394,a2)),x13394),x13394),f78(x13395,f78(x13392,f60(f90(x13394,a2)),x13394),x13394))
% 2.56/2.91 [1340]E(x13401,x13402)+E(x13403,x13402)+~E(f78(x13403,f78(x13401,f60(f90(x13404,a2)),x13404),x13404),f78(x13402,f78(x13405,f60(f90(x13404,a2)),x13404),x13404))
% 2.56/2.91 [1341]E(x13411,x13412)+E(x13411,x13413)+~E(f78(x13411,f78(x13414,f60(f90(x13415,a2)),x13415),x13415),f78(x13413,f78(x13412,f60(f90(x13415,a2)),x13415),x13415))
% 2.56/2.91 [1570]~P9(x15705,x15701,x15703)+E(f77(x15701,f78(x15702,f60(f90(x15703,a2)),x15703),x15703,x15703),f77(x15701,f78(x15704,f60(f90(x15703,a2)),x15703),x15703,x15703))+~P83(f85(f85(f86(f91(x15703,x15703)),f69(x15702,x15704,x15703,x15703)),x15701))
% 2.56/2.91 [1600]~P9(x16005,x16001,x16003)+P20(f77(x16001,f78(x16002,f60(f90(x16003,a2)),x16003),x16003,x16003),f77(x16001,f78(x16004,f60(f90(x16003,a2)),x16003),x16003,x16003),f90(x16003,a2))+~P83(f85(f85(f86(f91(x16003,x16003)),f69(x16002,x16004,x16003,x16003)),x16001))
% 2.56/2.91 [1708]~P2(x17082)+~P8(x17085,x17081)+E(f85(f85(f52(x17081,x17082),f85(f6(f48(f7(f51(x17082),f85(f6(f86(x17081),x17081,f90(x17081,a2),a2),x17083),a2,f90(x17082,f90(x17082,x17082)),x17081),x17084,x17081,x17082,f90(x17082,x17082)),x17081,x17082,x17082),f4(x17082))),x17085),f85(f85(f52(x17081,x17082),x17084),f61(x17085,x17083,f90(x17081,a2))))
% 2.56/2.91 [1451]~P20(x14512,x14516,f90(x14513,a2))+P20(f77(x14511,x14512,x14513,x14514),f77(x14515,x14516,x14513,x14514),f90(x14514,a2))+~P20(x14511,x14515,f90(f91(x14513,x14514),a2))
% 2.56/2.91 [1534]~P83(f85(f85(f86(x15342),x15344),f85(x15346,x15343)))+P83(f85(f85(f86(f91(x15341,x15342)),f69(x15343,x15344,x15341,x15342)),f70(x15345,x15346,x15341,x15342)))+~P83(f85(f85(f86(x15341),x15343),x15345))
% 2.56/2.91 [1552]~P10(x15524,x15521,x15525,x15526)+E(f85(x15521,x15522),f85(x15521,x15523))+~P83(f85(f85(f86(f91(x15525,x15525)),f69(x15522,x15523,x15525,x15525)),x15524))
% 2.56/2.91 [1575]P83(f85(f85(f86(x15751),x15752),f77(x15753,x15754,x15755,x15751)))+~P83(f85(f85(f86(f91(x15755,x15751)),f69(x15756,x15752,x15755,x15751)),x15753))+~P83(f85(f85(f86(x15755),x15756),x15754))
% 2.56/2.91 [1664]~P9(x16645,x16644,x16641)+P83(f85(f85(f86(f91(x16641,x16641)),f69(x16642,x16643,x16641,x16641)),x16644))+~P83(f85(f85(f86(x16641),x16646),f61(f77(x16644,f78(x16642,f60(f90(x16641,a2)),x16641),x16641,x16641),f77(x16644,f78(x16643,f60(f90(x16641,a2)),x16641),x16641,x16641),f90(x16641,a2))))
% 2.56/2.91 [1699]~P2(x16992)+~P8(x16996,x16991)+E(f85(f85(f52(x16991,x16992),f48(f48(f7(f51(x16992),f85(f6(f86(x16991),x16991,f90(x16991,a2),a2),x16993),a2,f90(x16992,f90(x16992,x16992)),x16991),x16994,x16991,x16992,f90(x16992,x16992)),x16995,x16991,x16992,x16992)),x16996),f85(f85(f58(x16992),f85(f85(f52(x16991,x16992),x16994),f61(x16996,x16993,f90(x16991,a2)))),f85(f85(f52(x16991,x16992),x16995),f61(x16996,f85(f49(f90(x16991,a2)),x16993),f90(x16991,a2)))))
% 2.56/2.91 [1702]P83(f85(f85(f86(x17021),x17025),x17026))+P83(f85(f85(f86(x17021),x17024),x17026))+E(f81(f85(f6(f85(f6(f7(f51(x17021),f85(f6(f86(x17022),x17022,f90(x17022,a2),a2),x17023),a2,f90(x17021,f90(x17021,x17021)),x17022),x17022,x17021,f90(x17021,x17021)),x17024),x17022,x17021,x17021),x17025),x17026,x17022,x17021),f60(f90(x17022,a2)))
% 2.56/2.91 [1703]P83(f85(f85(f86(x17031),x17035),x17036))+~P83(f85(f85(f86(x17031),x17034),x17036))+E(f81(f85(f6(f85(f6(f7(f51(x17031),f85(f6(f86(x17032),x17032,f90(x17032,a2),a2),x17033),a2,f90(x17031,f90(x17031,x17031)),x17032),x17032,x17031,f90(x17031,x17031)),x17034),x17032,x17031,x17031),x17035),x17036,x17032,x17031),x17033)
% 2.56/2.91 [1704]P83(f85(f85(f86(x17041),x17044),x17046))+~P83(f85(f85(f86(x17041),x17045),x17046))+E(f81(f85(f6(f85(f6(f7(f51(x17041),f85(f6(f86(x17042),x17042,f90(x17042,a2),a2),x17043),a2,f90(x17041,f90(x17041,x17041)),x17042),x17042,x17041,f90(x17041,x17041)),x17044),x17042,x17041,x17041),x17045),x17046,x17042,x17041),f85(f49(f90(x17042,a2)),x17043))
% 2.56/2.91 [1705]~P83(f85(f85(f86(x17051),x17055),x17056))+~P83(f85(f85(f86(x17051),x17054),x17056))+E(f81(f85(f6(f85(f6(f7(f51(x17051),f85(f6(f86(x17052),x17052,f90(x17052,a2),a2),x17053),a2,f90(x17051,f90(x17051,x17051)),x17052),x17052,x17051,f90(x17051,x17051)),x17054),x17052,x17051,x17051),x17055),x17056,x17052,x17051),f68(f90(x17052,a2)))
% 2.56/2.91 [1479]~P78(x14792)+~E(f85(f85(f58(x14792),f85(f85(f59(x14792),x14794),x14795)),x14791),f85(f85(f58(x14792),f85(f85(f59(x14792),x14793),x14795)),x14796))+E(x14791,f85(f85(f58(x14792),f85(f85(f59(x14792),f85(f85(f55(x14792),x14793),x14794)),x14795)),x14796))
% 2.56/2.91 [1480]~P78(x14801)+~E(f85(f85(f58(x14801),f85(f85(f59(x14801),x14802),x14804)),x14805),f85(f85(f58(x14801),f85(f85(f59(x14801),x14803),x14804)),x14806))+E(f85(f85(f58(x14801),f85(f85(f59(x14801),f85(f85(f55(x14801),x14802),x14803)),x14804)),x14805),x14806)
% 2.56/2.91 [1542]~P75(x15422)+~P20(f85(f85(f58(x15422),f85(f85(f59(x15422),x15424),x15425)),x15421),f85(f85(f58(x15422),f85(f85(f59(x15422),x15423),x15425)),x15426),x15422)+P20(x15421,f85(f85(f58(x15422),f85(f85(f59(x15422),f85(f85(f55(x15422),x15423),x15424)),x15425)),x15426),x15422)
% 2.56/2.91 [1543]~P75(x15431)+~P20(f85(f85(f58(x15431),f85(f85(f59(x15431),x15432),x15434)),x15435),f85(f85(f58(x15431),f85(f85(f59(x15431),x15433),x15434)),x15436),x15431)+P20(f85(f85(f58(x15431),f85(f85(f59(x15431),f85(f85(f55(x15431),x15432),x15433)),x15434)),x15435),x15436,x15431)
% 2.56/2.91 [1567]~P75(x15671)+P20(f85(f85(f58(x15671),f85(f85(f59(x15671),x15672),x15673)),x15674),f85(f85(f58(x15671),f85(f85(f59(x15671),x15675),x15673)),x15676),x15671)+~P20(x15674,f85(f85(f58(x15671),f85(f85(f59(x15671),f85(f85(f55(x15671),x15675),x15672)),x15673)),x15676),x15671)
% 2.56/2.91 [1568]~P75(x15681)+P20(f85(f85(f58(x15681),f85(f85(f59(x15681),x15682),x15683)),x15684),f85(f85(f58(x15681),f85(f85(f59(x15681),x15685),x15683)),x15686),x15681)+~P20(f85(f85(f58(x15681),f85(f85(f59(x15681),f85(f85(f55(x15681),x15682),x15685)),x15683)),x15684),x15686,x15681)
% 2.56/2.91 [1633]~P75(x16331)+~P83(f85(f85(f50(x16331),f85(f85(f58(x16331),f85(f85(f59(x16331),x16334),x16335)),x16332)),f85(f85(f58(x16331),f85(f85(f59(x16331),x16333),x16335)),x16336)))+P83(f85(f85(f50(x16331),x16332),f85(f85(f58(x16331),f85(f85(f59(x16331),f85(f85(f55(x16331),x16333),x16334)),x16335)),x16336)))
% 2.56/2.91 [1644]~P75(x16441)+P83(f85(f85(f50(x16441),f85(f85(f58(x16441),f85(f85(f59(x16441),x16442),x16443)),x16444)),f85(f85(f58(x16441),f85(f85(f59(x16441),x16445),x16443)),x16446)))+~P83(f85(f85(f50(x16441),x16444),f85(f85(f58(x16441),f85(f85(f59(x16441),f85(f85(f55(x16441),x16445),x16442)),x16443)),x16446)))
% 2.56/2.91 [1657]~P75(x16571)+~P83(f85(f85(f50(x16571),f85(f85(f58(x16571),f85(f85(f59(x16571),x16572),x16574)),x16575)),f85(f85(f58(x16571),f85(f85(f59(x16571),x16573),x16574)),x16576)))+P83(f85(f85(f50(x16571),f85(f85(f58(x16571),f85(f85(f59(x16571),f85(f85(f55(x16571),x16572),x16573)),x16574)),x16575)),x16576))
% 2.56/2.91 [1669]~P75(x16691)+P83(f85(f85(f50(x16691),f85(f85(f58(x16691),f85(f85(f59(x16691),x16692),x16693)),x16694)),f85(f85(f58(x16691),f85(f85(f59(x16691),x16695),x16693)),x16696)))+~P83(f85(f85(f50(x16691),f85(f85(f58(x16691),f85(f85(f59(x16691),f85(f85(f55(x16691),x16692),x16695)),x16693)),x16694)),x16696))
% 2.56/2.91 [1593]~P20(x15932,x15937,f90(f91(x15934,x15935),a2))+~P20(x15931,x15936,f90(f91(x15933,x15934),a2))+P20(f80(x15931,x15932,x15933,x15934,x15935),f80(x15936,x15937,x15933,x15934,x15935),f90(f91(x15933,x15935),a2))
% 2.56/2.91 [1626]~E(f72(x16261,x16264,x16265,x16266,x16267),f72(x16263,x16264,x16265,x16266,x16267))+E(f85(x16261,x16262),f85(x16263,x16262))+~P83(f85(f85(f86(f91(x16266,x16266)),f69(x16262,x16265,x16266,x16266)),x16264))
% 2.56/2.91 [1660]P83(f85(f85(f86(f91(x16601,x16602)),f69(x16603,x16604,x16601,x16602)),f80(x16605,x16606,x16601,x16607,x16602)))+~P83(f85(f85(f86(f91(x16601,x16607)),f69(x16603,x16608,x16601,x16607)),x16605))+~P83(f85(f85(f86(f91(x16607,x16602)),f69(x16608,x16604,x16607,x16602)),x16606))
% 2.56/2.91 [691]~P71(x6912)+~P48(x6912)+E(x6911,f4(a1))+E(f71(f4(x6912),x6911,x6912),f4(x6912))
% 2.56/2.91 [1335]~P67(x13351)+~P58(x13351)+~P83(f85(f85(f50(x13351),x13352),f4(x13351)))+P83(f85(f85(f50(x13351),f85(f85(f56(x13351),f54(x13351)),x13352)),f4(x13351)))
% 2.56/2.91 [1408]~P67(x14081)+~P58(x14081)+~P83(f85(f85(f50(x14081),f85(f85(f56(x14081),f54(x14081)),x14082)),f4(x14081)))+P83(f85(f85(f50(x14081),x14082),f4(x14081)))
% 2.56/2.91 [806]~P82(x8062)+E(x8061,f4(x8062))+E(f57(x8061,x8062),f85(f49(x8062),f54(x8062)))+P83(f85(f85(f50(x8062),f4(x8062)),x8061))
% 2.56/2.91 [880]~P39(x8802)+~P49(x8802)+E(f62(x8801,f85(f49(x8802),x8801),x8802),x8801)+P83(f85(f85(f50(x8802),x8801),f4(x8802)))
% 2.56/2.91 [893]~P82(x8932)+E(f57(x8931,x8932),f54(x8932))+E(x8931,f4(x8932))+~P83(f85(f85(f50(x8932),f4(x8932)),x8931))
% 2.56/2.91 [959]~P67(x9591)+~P58(x9591)+~P20(f4(x9591),x9592,x9591)+P20(f4(x9591),f85(f85(f56(x9591),f54(x9591)),x9592),x9591)
% 2.56/2.91 [960]~P67(x9601)+~P58(x9601)+~P20(x9602,f4(x9601),x9601)+P20(f85(f85(f56(x9601),f54(x9601)),x9602),f4(x9601),x9601)
% 2.56/2.91 [971]~P39(x9712)+~P49(x9712)+E(f62(x9711,f85(f49(x9712),x9711),x9712),f85(f49(x9712),x9711))+~P83(f85(f85(f50(x9712),x9711),f4(x9712)))
% 2.56/2.91 [1065]~P67(x10652)+~P58(x10652)+P20(x10651,f4(x10652),x10652)+~P20(f85(f85(f56(x10652),f54(x10652)),x10651),f4(x10652),x10652)
% 2.56/2.91 [1066]~P67(x10661)+~P58(x10661)+P20(f4(x10661),x10662,x10661)+~P20(f4(x10661),f85(f85(f56(x10661),f54(x10661)),x10662),x10661)
% 2.56/2.91 [1245]~P67(x12451)+~P58(x12451)+~P83(f85(f85(f50(x12451),f4(x12451)),x12452))+P83(f85(f85(f50(x12451),f4(x12451)),f85(f85(f56(x12451),f54(x12451)),x12452)))
% 2.56/2.91 [1312]~P67(x13121)+~P58(x13121)+P83(f85(f85(f50(x13121),f4(x13121)),x13122))+~P83(f85(f85(f50(x13121),f4(x13121)),f85(f85(f56(x13121),f54(x13121)),x13122)))
% 2.56/2.91 [805]~P20(x8052,x8051,x8053)+~P20(x8051,x8052,x8053)+E(x8051,x8052)+~P50(x8053)
% 2.56/2.91 [970]E(x9701,x9702)+~P8(x9702,x9703)+~P20(x9701,x9702,f90(x9703,a2))+~P20(f5(x9702,x9703),f5(x9701,x9703),a1)
% 2.56/2.91 [853]~P4(x8531)+~E(f61(x8532,x8533,x8531),f60(x8531))+~E(f62(x8532,x8533,x8531),f68(x8531))+E(f85(f49(x8531),x8532),x8533)
% 2.56/2.91 [1333]~P46(x13331)+~P20(x13333,f4(x13331),x13331)+~P83(f85(f85(f50(x13331),x13332),f4(x13331)))+P83(f85(f85(f50(x13331),f85(f85(f58(x13331),x13332),x13333)),f4(x13331)))
% 2.56/2.91 [1334]~P46(x13341)+~P20(x13342,f4(x13341),x13341)+~P83(f85(f85(f50(x13341),x13343),f4(x13341)))+P83(f85(f85(f50(x13341),f85(f85(f58(x13341),x13342),x13343)),f4(x13341)))
% 2.56/2.91 [1357]~P46(x13571)+~P83(f85(f85(f50(x13571),x13573),f4(x13571)))+~P83(f85(f85(f50(x13571),x13572),f4(x13571)))+P83(f85(f85(f50(x13571),f85(f85(f58(x13571),x13572),x13573)),f4(x13571)))
% 2.56/2.91 [702]~P62(x7023)+E(x7021,x7022)+E(x7022,f4(x7023))+~E(f85(f85(f56(x7023),x7021),x7022),f54(x7023))
% 2.56/2.91 [703]~P63(x7032)+~P22(x7032)+E(x7031,f4(x7032))+~E(f85(f85(f58(x7032),x7033),x7031),x7033)
% 2.56/2.91 [713]~P63(x7133)+~P22(x7133)+E(x7131,x7132)+~E(f85(f85(f55(x7133),x7131),x7132),f4(x7133))
% 2.56/2.91 [716]~P76(x7162)+E(x7161,f4(x7162))+E(x7163,f4(x7162))+~E(f85(f85(f59(x7162),x7163),x7161),f4(x7162))
% 2.56/2.91 [718]~P59(x7182)+E(x7181,f4(x7182))+E(x7183,f4(x7182))+~E(f85(f85(f59(x7182),x7183),x7181),f4(x7182))
% 2.56/2.91 [818]~P63(x8183)+E(x8181,x8182)+E(x8181,f85(f49(x8183),x8182))+~E(f85(f85(f59(x8183),x8181),x8181),f85(f85(f59(x8183),x8182),x8182))
% 2.56/2.91 [836]~P49(x8363)+~P20(x8361,x8362,x8363)+E(x8361,x8362)+P83(f85(f85(f50(x8363),x8361),x8362))
% 2.56/2.91 [842]~P50(x8423)+~P20(x8421,x8422,x8423)+E(x8421,x8422)+P83(f85(f85(f50(x8423),x8421),x8422))
% 2.56/2.91 [869]~P49(x8693)+E(x8691,x8692)+P83(f85(f85(f50(x8693),x8692),x8691))+P83(f85(f85(f50(x8693),x8691),x8692))
% 2.56/2.91 [870]~P66(x8703)+E(x8701,x8702)+P83(f85(f85(f50(x8703),x8702),x8701))+P83(f85(f85(f50(x8703),x8701),x8702))
% 2.56/2.91 [916]~P52(x9163)+~P20(x9162,x9161,x9163)+P20(x9161,x9162,x9163)+P83(f85(f85(f50(x9163),x9162),x9161))
% 2.56/2.91 [1038]~P68(x10381)+~P20(x10383,f4(x10381),x10381)+~P20(x10382,f4(x10381),x10381)+P20(f4(x10381),f85(f85(f59(x10381),x10382),x10383),x10381)
% 2.56/2.91 [1040]~P75(x10401)+~P20(x10403,f4(x10401),x10401)+~P20(x10402,f4(x10401),x10401)+P20(f4(x10401),f85(f85(f59(x10401),x10402),x10403),x10401)
% 2.56/2.91 [1041]~P46(x10411)+~P20(f4(x10411),x10413,x10411)+~P20(f4(x10411),x10412,x10411)+P20(f4(x10411),f85(f85(f58(x10411),x10412),x10413),x10411)
% 2.56/2.91 [1042]~P68(x10421)+~P20(f4(x10421),x10423,x10421)+~P20(f4(x10421),x10422,x10421)+P20(f4(x10421),f85(f85(f59(x10421),x10422),x10423),x10421)
% 2.56/2.91 [1043]~P75(x10431)+~P20(f4(x10431),x10433,x10431)+~P20(f4(x10431),x10432,x10431)+P20(f4(x10431),f85(f85(f59(x10431),x10432),x10433),x10431)
% 2.56/2.91 [1044]~P73(x10441)+~P20(f4(x10441),x10443,x10441)+~P20(f4(x10441),x10442,x10441)+P20(f4(x10441),f85(f85(f59(x10441),x10442),x10443),x10441)
% 2.56/2.91 [1045]~P46(x10451)+~P20(x10453,f4(x10451),x10451)+~P20(x10452,f4(x10451),x10451)+P20(f85(f85(f58(x10451),x10452),x10453),f4(x10451),x10451)
% 2.56/2.91 [1046]~P68(x10461)+~P20(x10463,f4(x10461),x10461)+~P20(f4(x10461),x10462,x10461)+P20(f85(f85(f59(x10461),x10462),x10463),f4(x10461),x10461)
% 2.56/2.91 [1047]~P68(x10471)+~P20(x10472,f4(x10471),x10471)+~P20(f4(x10471),x10473,x10471)+P20(f85(f85(f59(x10471),x10472),x10473),f4(x10471),x10471)
% 2.56/2.91 [1049]~P73(x10491)+~P20(x10493,f4(x10491),x10491)+~P20(f4(x10491),x10492,x10491)+P20(f85(f85(f59(x10491),x10492),x10493),f4(x10491),x10491)
% 2.56/2.91 [1052]~P73(x10521)+~P20(x10522,f4(x10521),x10521)+~P20(f4(x10521),x10523,x10521)+P20(f85(f85(f59(x10521),x10522),x10523),f4(x10521),x10521)
% 2.56/2.91 [1077]~P68(x10772)+P20(x10771,f4(x10772),x10772)+P20(x10773,f4(x10772),x10772)+~P20(f85(f85(f59(x10772),x10773),x10771),f4(x10772),x10772)
% 2.56/2.91 [1078]~P68(x10782)+P20(x10781,f4(x10782),x10782)+P20(f4(x10782),x10783,x10782)+~P20(f4(x10782),f85(f85(f59(x10782),x10783),x10781),x10782)
% 2.56/2.91 [1079]~P68(x10792)+P20(x10791,f4(x10792),x10792)+P20(f4(x10792),x10793,x10792)+~P20(f4(x10792),f85(f85(f59(x10792),x10791),x10793),x10792)
% 2.56/2.91 [1080]~P68(x10802)+P20(x10801,f4(x10802),x10802)+P20(f4(x10802),x10801,x10802)+~P20(f4(x10802),f85(f85(f59(x10802),x10803),x10801),x10802)
% 2.56/2.91 [1081]~P68(x10812)+P20(x10811,f4(x10812),x10812)+P20(f4(x10812),x10811,x10812)+~P20(f4(x10812),f85(f85(f59(x10812),x10811),x10813),x10812)
% 2.56/2.91 [1082]~P68(x10822)+P20(x10821,f4(x10822),x10822)+P20(f4(x10822),x10821,x10822)+~P20(f85(f85(f59(x10822),x10823),x10821),f4(x10822),x10822)
% 2.56/2.91 [1083]~P68(x10832)+P20(x10831,f4(x10832),x10832)+P20(f4(x10832),x10831,x10832)+~P20(f85(f85(f59(x10832),x10831),x10833),f4(x10832),x10832)
% 2.56/2.91 [1084]~P68(x10841)+P20(f4(x10841),x10842,x10841)+P20(f4(x10841),x10843,x10841)+~P20(f85(f85(f59(x10841),x10842),x10843),f4(x10841),x10841)
% 2.56/2.91 [1163]~P67(x11631)+~P20(x11632,f4(x11631),x11631)+P20(f4(x11631),f85(f85(f56(x11631),x11632),x11633),x11631)+~P83(f85(f85(f50(x11631),x11633),f4(x11631)))
% 2.56/2.91 [1164]~P67(x11641)+~P20(f4(x11641),x11642,x11641)+P20(f85(f85(f56(x11641),x11642),x11643),f4(x11641),x11641)+~P83(f85(f85(f50(x11641),x11643),f4(x11641)))
% 2.56/2.91 [1175]~P67(x11751)+~P20(f4(x11751),x11752,x11751)+P20(f4(x11751),f85(f85(f56(x11751),x11752),x11753),x11751)+~P83(f85(f85(f50(x11751),f4(x11751)),x11753))
% 2.56/2.91 [1176]~P67(x11761)+~P20(x11762,f4(x11761),x11761)+P20(f85(f85(f56(x11761),x11762),x11763),f4(x11761),x11761)+~P83(f85(f85(f50(x11761),f4(x11761)),x11763))
% 2.56/2.91 [1300]~P56(x13001)+P83(f85(f85(f50(x13001),f54(x13001)),f71(x13002,x13003,x13001)))+~P83(f85(f85(f50(x13001),f54(x13001)),x13002))+~P83(f85(f85(f50(a1),f4(a1)),x13003))
% 2.56/2.91 [1360]~P67(x13601)+~P83(f85(f85(f50(x13601),x13603),f4(x13601)))+P83(f85(f85(f50(x13601),f85(f85(f56(x13601),x13602),x13603)),f4(x13601)))+~P83(f85(f85(f50(x13601),f4(x13601)),x13602))
% 2.56/2.92 [1361]~P67(x13611)+~P83(f85(f85(f50(x13611),x13612),f4(x13611)))+P83(f85(f85(f50(x13611),f85(f85(f56(x13611),x13612),x13613)),f4(x13611)))+~P83(f85(f85(f50(x13611),f4(x13611)),x13613))
% 2.56/2.92 [1362]~P69(x13621)+~P83(f85(f85(f50(x13621),x13623),f4(x13621)))+P83(f85(f85(f50(x13621),f85(f85(f59(x13621),x13622),x13623)),f4(x13621)))+~P83(f85(f85(f50(x13621),f4(x13621)),x13622))
% 2.56/2.92 [1364]~P69(x13641)+~P83(f85(f85(f50(x13641),x13642),f4(x13641)))+P83(f85(f85(f50(x13641),f85(f85(f59(x13641),x13642),x13643)),f4(x13641)))+~P83(f85(f85(f50(x13641),f4(x13641)),x13643))
% 2.56/2.92 [1415]~P16(x14152,x14153)+~P16(x14151,x14153)+~E(f61(f67(x14151,x14153,x14153),f67(f76(x14152,x14153,x14153),x14153,x14153),f90(x14153,a2)),f60(f90(x14153,a2)))+P16(f62(x14151,x14152,f90(f91(x14153,x14153),a2)),x14153)
% 2.56/2.92 [1487]~P56(x14871)+P83(f85(f85(f50(x14871),f85(f85(f59(x14871),x14872),f71(x14872,x14873,x14871))),f71(x14872,x14873,x14871)))+~P83(f85(f85(f50(x14871),x14872),f54(x14871)))+~P83(f85(f85(f50(x14871),f4(x14871)),x14872))
% 2.56/2.92 [1563]~P16(x15632,x15633)+~P16(x15631,x15633)+~P20(f80(x15631,x15632,x15633,x15633,x15633),x15631,f90(f91(x15633,x15633),a2))+P16(f62(x15631,x15632,f90(f91(x15633,x15633),a2)),x15633)
% 2.56/2.92 [1270]~P46(x12701)+~P20(f4(x12701),x12703,x12701)+~P83(f85(f85(f50(x12701),f4(x12701)),x12702))+P83(f85(f85(f50(x12701),f4(x12701)),f85(f85(f58(x12701),x12702),x12703)))
% 2.56/2.92 [1271]~P46(x12711)+~P20(f4(x12711),x12712,x12711)+~P83(f85(f85(f50(x12711),f4(x12711)),x12713))+P83(f85(f85(f50(x12711),f4(x12711)),f85(f85(f58(x12711),x12712),x12713)))
% 2.56/2.92 [1290]~P67(x12901)+~P83(f85(f85(f50(x12901),x12903),f4(x12901)))+~P83(f85(f85(f50(x12901),x12902),f4(x12901)))+P83(f85(f85(f50(x12901),f4(x12901)),f85(f85(f56(x12901),x12902),x12903)))
% 2.56/2.92 [1291]~P68(x12911)+~P83(f85(f85(f50(x12911),x12913),f4(x12911)))+~P83(f85(f85(f50(x12911),x12912),f4(x12911)))+P83(f85(f85(f50(x12911),f4(x12911)),f85(f85(f59(x12911),x12912),x12913)))
% 2.56/2.92 [1315]~P67(x13151)+~P83(f85(f85(f50(x13151),f4(x13151)),x13153))+~P83(f85(f85(f50(x13151),f4(x13151)),x13152))+P83(f85(f85(f50(x13151),f4(x13151)),f85(f85(f56(x13151),x13152),x13153)))
% 2.56/2.92 [1316]~P46(x13161)+~P83(f85(f85(f50(x13161),f4(x13161)),x13163))+~P83(f85(f85(f50(x13161),f4(x13161)),x13162))+P83(f85(f85(f50(x13161),f4(x13161)),f85(f85(f58(x13161),x13162),x13163)))
% 2.56/2.92 [1317]~P69(x13171)+~P83(f85(f85(f50(x13171),f4(x13171)),x13173))+~P83(f85(f85(f50(x13171),f4(x13171)),x13172))+P83(f85(f85(f50(x13171),f4(x13171)),f85(f85(f59(x13171),x13172),x13173)))
% 2.56/2.92 [1318]~P56(x13181)+~P83(f85(f85(f50(x13181),f54(x13181)),x13183))+~P83(f85(f85(f50(x13181),f54(x13181)),x13182))+P83(f85(f85(f50(x13181),f54(x13181)),f85(f85(f59(x13181),x13182),x13183)))
% 2.56/2.92 [1349]~P69(x13491)+P83(f85(f85(f50(x13491),f4(x13491)),x13492))+~P83(f85(f85(f50(x13491),f4(x13491)),x13493))+~P83(f85(f85(f50(x13491),f4(x13491)),f85(f85(f59(x13491),x13493),x13492)))
% 2.56/2.92 [1350]~P69(x13501)+P83(f85(f85(f50(x13501),f4(x13501)),x13502))+~P83(f85(f85(f50(x13501),f4(x13501)),x13503))+~P83(f85(f85(f50(x13501),f4(x13501)),f85(f85(f59(x13501),x13502),x13503)))
% 2.56/2.92 [950]~P58(x9502)+~P62(x9502)+E(x9501,f4(x9502))+E(f85(f85(f59(x9502),f85(f85(f56(x9502),x9503),x9501)),x9501),x9503)
% 2.56/2.92 [889]~P50(x8893)+~P20(x8891,x8894,x8893)+P20(x8891,x8892,x8893)+~P20(x8894,x8892,x8893)
% 2.56/2.92 [890]~P52(x8903)+~P20(x8901,x8904,x8903)+P20(x8901,x8902,x8903)+~P20(x8904,x8902,x8903)
% 2.56/2.92 [891]~P1(x8913)+~P19(x8911,x8914,x8913)+P19(x8911,x8912,x8913)+~P19(x8914,x8912,x8913)
% 2.56/2.92 [1013]~P25(x10134)+~P20(x10131,x10133,x10134)+~P20(x10131,x10132,x10134)+P20(x10131,f61(x10132,x10133,x10134),x10134)
% 2.56/2.92 [1016]~P26(x10163)+~P20(x10162,x10164,x10163)+~P20(x10161,x10164,x10163)+P20(f62(x10161,x10162,x10163),x10164,x10163)
% 2.56/2.92 [1165]~P56(x11653)+~P20(x11652,x11654,a1)+~P20(f54(x11653),x11651,x11653)+P20(f71(x11651,x11652,x11653),f71(x11651,x11654,x11653),x11653)
% 2.56/2.92 [1168]~P56(x11683)+~P20(x11681,x11684,x11683)+~P20(f4(x11683),x11681,x11683)+P20(f71(x11681,x11682,x11683),f71(x11684,x11682,x11683),x11683)
% 2.56/2.92 [800]~P63(x8003)+~P22(x8003)+E(x8001,x8002)+~E(f85(f85(f58(x8003),x8004),x8001),f85(f85(f58(x8003),x8004),x8002))
% 2.56/2.92 [1007]~P1(x10072)+~P19(x10071,x10074,x10072)+~P19(x10071,x10073,x10072)+P19(x10071,f85(f85(f58(x10072),x10073),x10074),x10072)
% 2.56/2.92 [1008]~P54(x10082)+~P19(x10081,x10084,x10082)+~P19(x10081,x10083,x10082)+P19(x10081,f85(f85(f55(x10082),x10083),x10084),x10082)
% 2.56/2.92 [1024]~P8(x10244,x10243)+E(f85(x10241,x10242),f4(a1))+~E(f85(f85(f52(x10243,a1),x10241),x10244),f4(a1))+~P83(f85(f85(f86(x10243),x10242),x10244))
% 2.56/2.92 [1055]~P50(x10551)+~P20(x10554,x10553,x10551)+~P83(f85(f85(f50(x10551),x10552),x10554))+P83(f85(f85(f50(x10551),x10552),x10553))
% 2.56/2.92 [1056]~P50(x10561)+~P20(x10562,x10564,x10561)+~P83(f85(f85(f50(x10561),x10564),x10563))+P83(f85(f85(f50(x10561),x10562),x10563))
% 2.56/2.92 [1057]~P52(x10571)+~P20(x10574,x10573,x10571)+~P83(f85(f85(f50(x10571),x10572),x10574))+P83(f85(f85(f50(x10571),x10572),x10573))
% 2.56/2.92 [1058]~P52(x10581)+~P20(x10582,x10584,x10581)+~P83(f85(f85(f50(x10581),x10584),x10583))+P83(f85(f85(f50(x10581),x10582),x10583))
% 2.56/2.92 [1085]~P56(x10854)+E(x10851,x10852)+~E(f71(x10853,x10851,x10854),f71(x10853,x10852,x10854))+~P83(f85(f85(f50(x10854),f54(x10854)),x10853))
% 2.56/2.92 [1086]E(x10861,x10862)+~E(f78(x10864,x10861,x10863),f78(x10864,x10862,x10863))+P83(f85(f85(f86(x10863),x10864),x10862))+P83(f85(f85(f86(x10863),x10864),x10861))
% 2.56/2.92 [1153]~P75(x11531)+~P20(x11534,x11532,x11531)+~P20(x11533,f4(x11531),x11531)+P20(f85(f85(f59(x11531),x11532),x11533),f85(f85(f59(x11531),x11534),x11533),x11531)
% 2.56/2.92 [1154]~P75(x11541)+~P20(x11544,x11543,x11541)+~P20(x11542,f4(x11541),x11541)+P20(f85(f85(f59(x11541),x11542),x11543),f85(f85(f59(x11541),x11542),x11544),x11541)
% 2.56/2.92 [1155]~P61(x11551)+~P20(x11552,x11554,x11551)+~P20(f4(x11551),x11553,x11551)+P20(f85(f85(f59(x11551),x11552),x11553),f85(f85(f59(x11551),x11554),x11553),x11551)
% 2.56/2.92 [1156]~P61(x11561)+~P20(x11563,x11564,x11561)+~P20(f4(x11561),x11562,x11561)+P20(f85(f85(f59(x11561),x11562),x11563),f85(f85(f59(x11561),x11562),x11564),x11561)
% 2.56/2.92 [1157]~P64(x11571)+~P20(x11573,x11574,x11571)+~P20(f4(x11571),x11572,x11571)+P20(f85(f85(f59(x11571),x11572),x11573),f85(f85(f59(x11571),x11572),x11574),x11571)
% 2.56/2.92 [1158]~P50(x11581)+~P83(f85(f85(f50(x11581),x11582),x11584))+P83(f85(f85(f50(x11581),x11582),x11583))+~P83(f85(f85(f50(x11581),x11584),x11583))
% 2.56/2.92 [1159]~P52(x11591)+~P83(f85(f85(f50(x11591),x11592),x11594))+P83(f85(f85(f50(x11591),x11592),x11593))+~P83(f85(f85(f50(x11591),x11594),x11593))
% 2.56/2.92 [1185]~P63(x11852)+P19(x11853,x11854,x11852)+E(x11851,f4(x11852))+~P19(f85(f85(f59(x11852),x11851),x11853),f85(f85(f59(x11852),x11851),x11854),x11852)
% 2.56/2.92 [1186]~P63(x11862)+P19(x11863,x11864,x11862)+E(x11861,f4(x11862))+~P19(f85(f85(f59(x11862),x11863),x11861),f85(f85(f59(x11862),x11864),x11861),x11862)
% 2.56/2.92 [1220]~P68(x12201)+~P20(x12204,x12203,x12201)+P20(f85(f85(f59(x12201),x12202),x12203),f85(f85(f59(x12201),x12202),x12204),x12201)+~P83(f85(f85(f50(x12201),x12202),f4(x12201)))
% 2.56/2.92 [1230]~P68(x12301)+~P20(x12303,x12304,x12301)+P20(f85(f85(f59(x12301),x12302),x12303),f85(f85(f59(x12301),x12302),x12304),x12301)+~P83(f85(f85(f50(x12301),f4(x12301)),x12302))
% 2.56/2.92 [1234]~P56(x12343)+~P20(x12342,x12344,a1)+P20(f71(x12341,x12342,x12343),f71(x12341,x12344,x12343),x12343)+~P83(f85(f85(f50(x12343),f54(x12343)),x12341))
% 2.56/2.92 [1248]~P67(x12482)+~P20(f85(f85(f59(x12482),x12481),x12484),x12483,x12482)+P20(x12481,f85(f85(f56(x12482),x12483),x12484),x12482)+~P83(f85(f85(f50(x12482),f4(x12482)),x12484))
% 2.56/2.92 [1249]~P67(x12491)+~P20(x12492,f85(f85(f59(x12491),x12494),x12493),x12491)+P20(f85(f85(f56(x12491),x12492),x12493),x12494,x12491)+~P83(f85(f85(f50(x12491),f4(x12491)),x12493))
% 2.56/2.92 [1274]~P68(x12743)+P20(x12741,x12742,x12743)+~P20(f85(f85(f59(x12743),x12744),x12742),f85(f85(f59(x12743),x12744),x12741),x12743)+~P83(f85(f85(f50(x12743),x12744),f4(x12743)))
% 2.56/2.92 [1281]~P68(x12813)+P20(x12811,x12812,x12813)+~P20(f85(f85(f59(x12813),x12814),x12811),f85(f85(f59(x12813),x12814),x12812),x12813)+~P83(f85(f85(f50(x12813),f4(x12813)),x12814))
% 2.56/2.92 [1282]~P69(x12823)+P20(x12821,x12822,x12823)+~P20(f85(f85(f59(x12823),x12824),x12821),f85(f85(f59(x12823),x12824),x12822),x12823)+~P83(f85(f85(f50(x12823),f4(x12823)),x12824))
% 2.56/2.92 [1283]~P69(x12833)+P20(x12831,x12832,x12833)+~P20(f85(f85(f59(x12833),x12831),x12834),f85(f85(f59(x12833),x12832),x12834),x12833)+~P83(f85(f85(f50(x12833),f4(x12833)),x12834))
% 2.56/2.92 [1285]~P56(x12853)+~P20(f71(x12854,x12851,x12853),f71(x12854,x12852,x12853),x12853)+P20(x12851,x12852,a1)+~P83(f85(f85(f50(x12853),f54(x12853)),x12854))
% 2.56/2.92 [1407]~P56(x14071)+P83(f85(f85(f50(x14071),f71(x14072,x14073,x14071)),f71(x14072,x14074,x14071)))+~P83(f85(f85(f50(x14071),f54(x14071)),x14072))+~P83(f85(f85(f50(a1),x14073),x14074))
% 2.56/2.92 [1448]~P56(x14481)+~P20(f4(x14481),x14483,x14481)+~P83(f85(f85(f50(x14481),f71(x14482,x14484,x14481)),f71(x14483,x14484,x14481)))+P83(f85(f85(f50(x14481),x14482),x14483))
% 2.56/2.92 [1461]~P56(x14613)+~P83(f85(f85(f50(x14613),f71(x14614,x14611,x14613)),f71(x14614,x14612,x14613)))+~P83(f85(f85(f50(x14613),f54(x14613)),x14614))+P83(f85(f85(f50(a1),x14611),x14612))
% 2.56/2.92 [1490]~P8(x14903,x14904)+P83(f85(f85(f50(a1),f4(a1)),f85(x14901,x14902)))+~P83(f85(f85(f50(a1),f4(a1)),f53(x14901,x14903,x14904,a1)))+~P83(f85(f85(f86(x14904),x14902),x14903))
% 2.56/2.92 [1602]E(x16021,x16022)+E(x16023,x16022)+~P83(f85(f85(f86(f91(a87,a87)),f69(x16023,x16021,a87,a87)),x16024))+P83(f85(f85(f86(f91(a87,a87)),f69(x16023,x16021,a87,a87)),f85(f85(a8,x16024),x16022)))
% 2.56/2.92 [1603]E(x16031,x16032)+E(x16033,x16032)+~P83(f85(f85(f86(f91(a87,a87)),f69(x16033,x16031,a87,a87)),x16034))+P83(f85(f85(f86(f91(a87,a87)),f69(x16033,x16031,a87,a87)),f85(f85(a9,x16034),x16032)))
% 2.56/2.92 [1604]E(x16041,x16042)+E(x16043,x16041)+~P83(f85(f85(f86(f91(a87,a87)),f69(x16043,x16041,a87,a87)),x16044))+P83(f85(f85(f86(f91(a87,a87)),f69(x16043,x16041,a87,a87)),f85(f85(a9,x16044),x16042)))
% 2.56/2.92 [1605]E(x16051,x16052)+E(x16051,x16053)+~P83(f85(f85(f86(f91(a87,a87)),f69(x16051,x16053,a87,a87)),x16054))+P83(f85(f85(f86(f91(a87,a87)),f69(x16051,x16053,a87,a87)),f85(f85(a8,x16054),x16052)))
% 2.56/2.92 [1624]E(x16241,x16242)+~P7(x16243,x16244)+~P83(f85(f85(f86(f91(x16244,x16244)),f69(x16242,x16241,x16244,x16244)),x16243))+~P83(f85(f85(f86(f91(x16244,x16244)),f69(x16241,x16242,x16244,x16244)),x16243))
% 2.56/2.92 [1128]~P58(x11282)+~P62(x11282)+E(x11281,f4(x11282))+E(f85(f85(f56(x11282),f85(f85(f59(x11282),x11283),x11281)),f85(f85(f59(x11282),x11284),x11281)),f85(f85(f56(x11282),x11283),x11284))
% 2.56/2.92 [1129]~P58(x11292)+~P62(x11292)+E(x11291,f4(x11292))+E(f85(f85(f56(x11292),f85(f85(f59(x11292),x11291),x11293)),f85(f85(f59(x11292),x11291),x11294)),f85(f85(f56(x11292),x11293),x11294))
% 2.56/2.92 [1286]~P56(x12861)+~P83(f85(f85(f50(x12861),f4(x12861)),x12863))+~P83(f85(f85(f50(x12861),x12862),x12864))+P83(f85(f85(f50(x12861),x12862),f85(f85(f58(x12861),x12863),x12864)))
% 2.56/2.92 [1388]~P67(x13881)+~P83(f85(f85(f50(x13881),x13883),f4(x13881)))+~P83(f85(f85(f50(x13881),x13884),x13882))+P83(f85(f85(f50(x13881),f85(f85(f56(x13881),x13882),x13883)),f85(f85(f56(x13881),x13884),x13883)))
% 2.56/2.92 [1390]~P68(x13901)+~P83(f85(f85(f50(x13901),x13903),f4(x13901)))+~P83(f85(f85(f50(x13901),x13904),x13902))+P83(f85(f85(f50(x13901),f85(f85(f59(x13901),x13902),x13903)),f85(f85(f59(x13901),x13904),x13903)))
% 2.56/2.92 [1393]~P68(x13931)+~P83(f85(f85(f50(x13931),x13932),f4(x13931)))+~P83(f85(f85(f50(x13931),x13934),x13933))+P83(f85(f85(f50(x13931),f85(f85(f59(x13931),x13932),x13933)),f85(f85(f59(x13931),x13932),x13934)))
% 2.56/2.92 [1397]~P67(x13971)+~P83(f85(f85(f50(x13971),x13972),x13974))+~P83(f85(f85(f50(x13971),f4(x13971)),x13973))+P83(f85(f85(f50(x13971),f85(f85(f56(x13971),x13972),x13973)),f85(f85(f56(x13971),x13974),x13973)))
% 2.56/2.92 [1398]~P68(x13981)+~P83(f85(f85(f50(x13981),x13982),x13984))+~P83(f85(f85(f50(x13981),f4(x13981)),x13983))+P83(f85(f85(f50(x13981),f85(f85(f59(x13981),x13982),x13983)),f85(f85(f59(x13981),x13984),x13983)))
% 2.56/2.92 [1399]~P69(x13991)+~P83(f85(f85(f50(x13991),x13992),x13994))+~P83(f85(f85(f50(x13991),f4(x13991)),x13993))+P83(f85(f85(f50(x13991),f85(f85(f59(x13991),x13992),x13993)),f85(f85(f59(x13991),x13994),x13993)))
% 2.56/2.92 [1401]~P68(x14011)+~P83(f85(f85(f50(x14011),x14013),x14014))+~P83(f85(f85(f50(x14011),f4(x14011)),x14012))+P83(f85(f85(f50(x14011),f85(f85(f59(x14011),x14012),x14013)),f85(f85(f59(x14011),x14012),x14014)))
% 2.56/2.92 [1402]~P69(x14021)+~P83(f85(f85(f50(x14021),x14023),x14024))+~P83(f85(f85(f50(x14021),f4(x14021)),x14022))+P83(f85(f85(f50(x14021),f85(f85(f59(x14021),x14022),x14023)),f85(f85(f59(x14021),x14022),x14024)))
% 2.56/2.92 [1403]~P65(x14031)+~P83(f85(f85(f50(x14031),x14033),x14034))+~P83(f85(f85(f50(x14031),f4(x14031)),x14032))+P83(f85(f85(f50(x14031),f85(f85(f59(x14031),x14032),x14033)),f85(f85(f59(x14031),x14032),x14034)))
% 2.56/2.92 [1433]~P69(x14331)+~P20(f4(x14331),x14334,x14331)+P83(f85(f85(f50(x14331),x14332),x14333))+~P83(f85(f85(f50(x14331),f85(f85(f59(x14331),x14334),x14332)),f85(f85(f59(x14331),x14334),x14333)))
% 2.56/2.92 [1434]~P69(x14341)+~P20(f4(x14341),x14344,x14341)+P83(f85(f85(f50(x14341),x14342),x14343))+~P83(f85(f85(f50(x14341),f85(f85(f59(x14341),x14342),x14344)),f85(f85(f59(x14341),x14343),x14344)))
% 2.56/2.92 [1435]~P70(x14351)+~P20(f4(x14351),x14354,x14351)+P83(f85(f85(f50(x14351),x14352),x14353))+~P83(f85(f85(f50(x14351),f85(f85(f59(x14351),x14354),x14352)),f85(f85(f59(x14351),x14354),x14353)))
% 2.56/2.92 [1436]~P70(x14361)+~P20(f4(x14361),x14364,x14361)+P83(f85(f85(f50(x14361),x14362),x14363))+~P83(f85(f85(f50(x14361),f85(f85(f59(x14361),x14362),x14364)),f85(f85(f59(x14361),x14363),x14364)))
% 2.56/2.92 [1440]~P68(x14401)+P83(f85(f85(f50(x14401),x14403),x14402))+P83(f85(f85(f50(x14401),x14402),x14403))+~P83(f85(f85(f50(x14401),f85(f85(f59(x14401),x14404),x14402)),f85(f85(f59(x14401),x14404),x14403)))
% 2.56/2.92 [1441]~P68(x14411)+P83(f85(f85(f50(x14411),x14413),x14412))+P83(f85(f85(f50(x14411),x14412),x14413))+~P83(f85(f85(f50(x14411),f85(f85(f59(x14411),x14412),x14414)),f85(f85(f59(x14411),x14413),x14414)))
% 2.56/2.92 [1442]~P68(x14421)+P83(f85(f85(f50(x14421),x14424),f4(x14421)))+P83(f85(f85(f50(x14421),x14422),x14423))+~P83(f85(f85(f50(x14421),f85(f85(f59(x14421),x14422),x14424)),f85(f85(f59(x14421),x14423),x14424)))
% 2.56/2.92 [1443]~P68(x14431)+P83(f85(f85(f50(x14431),x14434),f4(x14431)))+P83(f85(f85(f50(x14431),x14432),x14433))+~P83(f85(f85(f50(x14431),f85(f85(f59(x14431),x14434),x14432)),f85(f85(f59(x14431),x14434),x14433)))
% 2.56/2.92 [1445]~P68(x14451)+P83(f85(f85(f50(x14451),x14452),x14453))+P83(f85(f85(f50(x14451),f4(x14451)),x14454))+~P83(f85(f85(f50(x14451),f85(f85(f59(x14451),x14454),x14453)),f85(f85(f59(x14451),x14454),x14452)))
% 2.56/2.92 [1446]~P68(x14461)+P83(f85(f85(f50(x14461),x14462),x14463))+P83(f85(f85(f50(x14461),f4(x14461)),x14464))+~P83(f85(f85(f50(x14461),f85(f85(f59(x14461),x14463),x14464)),f85(f85(f59(x14461),x14462),x14464)))
% 2.56/2.92 [1449]~P68(x14491)+P83(f85(f85(f50(x14491),x14492),f4(x14491)))+P83(f85(f85(f50(x14491),f4(x14491)),x14492))+~P83(f85(f85(f50(x14491),f85(f85(f59(x14491),x14493),x14492)),f85(f85(f59(x14491),x14494),x14492)))
% 2.56/2.92 [1450]~P68(x14501)+P83(f85(f85(f50(x14501),x14502),f4(x14501)))+P83(f85(f85(f50(x14501),f4(x14501)),x14502))+~P83(f85(f85(f50(x14501),f85(f85(f59(x14501),x14502),x14503)),f85(f85(f59(x14501),x14502),x14504)))
% 2.56/2.92 [1457]~P68(x14571)+~P83(f85(f85(f50(x14571),x14574),f4(x14571)))+P83(f85(f85(f50(x14571),x14572),x14573))+~P83(f85(f85(f50(x14571),f85(f85(f59(x14571),x14574),x14573)),f85(f85(f59(x14571),x14574),x14572)))
% 2.56/2.92 [1459]~P68(x14591)+P83(f85(f85(f50(x14591),x14592),x14593))+~P83(f85(f85(f50(x14591),f4(x14591)),x14594))+~P83(f85(f85(f50(x14591),f85(f85(f59(x14591),x14594),x14592)),f85(f85(f59(x14591),x14594),x14593)))
% 2.56/2.92 [1556]P83(f85(x15561,x15562))+P83(f85(x15561,x15563))+~P83(f85(f85(f86(a88),x15563),f82(x15564,a88)))+~P83(f85(f85(f86(f91(a88,a88)),f69(x15562,f103(x15561,x15564),a88,a88)),x15564))
% 2.56/2.92 [1557]P83(f85(x15571,x15572))+P83(f85(x15571,x15573))+~P83(f85(f85(f86(a88),x15573),f82(x15574,a88)))+~P83(f85(f85(f86(f91(a88,a88)),f69(x15572,f104(x15571,x15574),a88,a88)),x15574))
% 2.56/2.92 [1560]P83(f85(x15601,x15602))+~P83(f85(f85(f86(a88),x15602),f82(x15604,a88)))+P83(f85(f85(f86(a88),x15603),f82(x15604,a88)))+~P83(f85(f85(f86(f91(a88,a88)),f69(x15603,f103(x15601,x15604),a88,a88)),x15604))
% 2.56/2.92 [1561]P83(f85(x15611,x15612))+~P83(f85(f85(f86(a88),x15612),f82(x15614,a88)))+P83(f85(f85(f86(a88),x15613),f82(x15614,a88)))+~P83(f85(f85(f86(f91(a88,a88)),f69(x15613,f104(x15611,x15614),a88,a88)),x15614))
% 2.56/2.92 [1420]~P67(x14201)+~P83(f85(f85(f50(x14201),f4(x14201)),x14203))+~P83(f85(f85(f50(x14201),x14202),f85(f85(f59(x14201),x14204),x14203)))+P83(f85(f85(f50(x14201),f85(f85(f56(x14201),x14202),x14203)),x14204))
% 2.56/2.92 [1432]~P67(x14321)+~P83(f85(f85(f50(x14321),f4(x14321)),x14324))+P83(f85(f85(f50(x14321),x14322),f85(f85(f56(x14321),x14323),x14324)))+~P83(f85(f85(f50(x14321),f85(f85(f59(x14321),x14322),x14324)),x14323))
% 2.56/2.92 [1342]~P58(x13422)+~P62(x13422)+E(x13421,f4(x13422))+E(f85(f85(f56(x13422),f85(f85(f58(x13422),x13423),f85(f85(f59(x13422),x13424),x13421))),x13421),f85(f85(f58(x13422),x13424),f85(f85(f56(x13422),x13423),x13421)))
% 2.56/2.92 [1368]~P58(x13682)+~P62(x13682)+E(x13681,f4(x13682))+E(f85(f85(f56(x13682),f85(f85(f58(x13682),x13683),f85(f85(f59(x13682),x13684),x13681))),x13681),f85(f85(f58(x13682),f85(f85(f56(x13682),x13683),x13681)),x13684))
% 2.56/2.92 [1150]~P1(x11503)+~P19(x11501,x11504,x11503)+~P20(x11502,x11505,a1)+P19(f71(x11501,x11502,x11503),f71(x11504,x11505,x11503),x11503)
% 2.56/2.92 [1203]~P1(x12033)+~P19(f71(x12031,x12035,x12033),x12034,x12033)+P19(f71(x12031,x12032,x12033),x12034,x12033)+~P20(x12032,x12035,a1)
% 2.56/2.92 [1572]~P83(f85(x15721,x15723))+P83(f85(x15721,x15722))+~P83(f85(f85(f86(f91(x15725,x15725)),f69(x15722,x15723,x15725,x15725)),f75(x15724,x15725)))+P83(f85(x15721,f29(x15721,x15723,x15724,x15725)))
% 2.56/2.92 [1573]~P83(f85(x15731,x15733))+P83(f85(x15731,x15732))+~P83(f85(f85(f86(f91(x15735,x15735)),f69(x15733,x15732,x15735,x15735)),f75(x15734,x15735)))+P83(f85(x15731,f33(x15731,x15733,x15734,x15735)))
% 2.56/2.92 [1594]P83(f85(x15941,x15942))+~P83(f85(x15941,x15943))+~P83(f85(f85(f86(f91(x15945,x15945)),f69(x15942,x15943,x15945,x15945)),f75(x15944,x15945)))+~P83(f85(x15941,f30(x15941,x15943,x15944,x15945)))
% 2.56/2.92 [1595]P83(f85(x15951,x15952))+~P83(f85(x15951,x15953))+~P83(f85(f85(f86(f91(x15955,x15955)),f69(x15953,x15952,x15955,x15955)),f75(x15954,x15955)))+~P83(f85(x15951,f37(x15951,x15953,x15954,x15955)))
% 2.56/2.92 [1642]~P83(f85(x16421,x16424))+P83(f85(x16421,x16422))+~P83(f85(f85(f86(f91(x16423,x16423)),f69(x16424,x16422,x16423,x16423)),f75(x16425,x16423)))+P83(f85(f85(f86(f91(x16423,x16423)),f69(x16424,f33(x16421,x16424,x16425,x16423),x16423,x16423)),f75(x16425,x16423)))
% 2.56/2.92 [1643]~P83(f85(x16431,x16434))+P83(f85(x16431,x16432))+~P83(f85(f85(f86(f91(x16433,x16433)),f69(x16432,x16434,x16433,x16433)),f75(x16435,x16433)))+P83(f85(f85(f86(f91(x16433,x16433)),f69(f29(x16431,x16434,x16435,x16433),x16434,x16433,x16433)),f75(x16435,x16433)))
% 2.56/2.92 [968]~P44(x9683)+~P20(x9685,x9684,x9683)+P20(x9681,x9682,x9683)+~E(f85(f85(f55(x9683),x9684),x9685),f85(f85(f55(x9683),x9682),x9681))
% 2.56/2.92 [969]~P44(x9693)+~P20(x9695,x9694,x9693)+P20(x9691,x9692,x9693)+~E(f85(f85(f55(x9693),x9692),x9691),f85(f85(f55(x9693),x9694),x9695))
% 2.56/2.92 [1142]~P42(x11421)+~P20(x11423,x11425,x11421)+~P20(x11422,x11424,x11421)+P20(f85(f85(f58(x11421),x11422),x11423),f85(f85(f58(x11421),x11424),x11425),x11421)
% 2.56/2.92 [1143]~P1(x11431)+~P19(x11433,x11435,x11431)+~P19(x11432,x11434,x11431)+P19(f85(f85(f59(x11431),x11432),x11433),f85(f85(f59(x11431),x11434),x11435),x11431)
% 2.56/2.92 [1151]~P44(x11511)+~E(f85(f85(f55(x11511),x11514),x11515),f85(f85(f55(x11511),x11512),x11513))+~P83(f85(f85(f50(x11511),x11514),x11515))+P83(f85(f85(f50(x11511),x11512),x11513))
% 2.56/2.92 [1152]~P44(x11521)+~E(f85(f85(f55(x11521),x11522),x11523),f85(f85(f55(x11521),x11524),x11525))+~P83(f85(f85(f50(x11521),x11524),x11525))+P83(f85(f85(f50(x11521),x11522),x11523))
% 2.56/2.92 [1201]~P44(x12012)+~P20(x12015,x12014,x12012)+~P20(x12011,f85(f85(f58(x12012),x12013),x12015),x12012)+P20(x12011,f85(f85(f58(x12012),x12013),x12014),x12012)
% 2.56/2.92 [1323]~P1(x13235)+~P8(x13233,x13234)+P19(f85(x13231,x13232),f53(x13231,x13233,x13234,x13235),x13235)+~P83(f85(f85(f86(x13234),x13232),x13233))
% 2.56/2.92 [1394]~P36(x13945)+~P8(x13943,x13944)+E(f53(x13941,f78(x13942,x13943,x13944),x13944,x13945),f85(f85(f59(x13945),f85(x13941,x13942)),f53(x13941,x13943,x13944,x13945)))+P83(f85(f85(f86(x13944),x13942),x13943))
% 2.56/2.92 [1692]~P36(x16921)+~P8(x16925,x16922)+E(f53(f85(f6(f48(f7(f51(x16921),f85(f83(x16922),x16923),a2,f90(x16921,f90(x16921,x16921)),x16922),x16924,x16922,x16921,f90(x16921,x16921)),x16922,x16921,x16921),f54(x16921)),x16925,x16922,x16921),f54(x16921))+P83(f85(f85(f86(x16922),x16923),x16925))
% 2.56/2.92 [1693]~P36(x16931)+~P8(x16935,x16932)+E(f53(f85(f6(f48(f7(f51(x16931),f85(f83(x16932),x16933),a2,f90(x16931,f90(x16931,x16931)),x16932),x16934,x16932,x16931,f90(x16931,x16931)),x16932,x16931,x16931),f54(x16931)),x16935,x16932,x16931),f85(x16934,x16933))+~P83(f85(f85(f86(x16932),x16933),x16935))
% 2.56/2.92 [1695]~P36(x16951)+~P8(x16955,x16952)+E(f53(f85(f6(f48(f7(f51(x16951),f85(f6(f83(x16952),x16952,x16952,a2),x16953),a2,f90(x16951,f90(x16951,x16951)),x16952),x16954,x16952,x16951,f90(x16951,x16951)),x16952,x16951,x16951),f54(x16951)),x16955,x16952,x16951),f54(x16951))+P83(f85(f85(f86(x16952),x16953),x16955))
% 2.56/2.92 [1697]~P36(x16971)+~P8(x16975,x16972)+E(f53(f85(f6(f48(f7(f51(x16971),f85(f6(f83(x16972),x16972,x16972,a2),x16973),a2,f90(x16971,f90(x16971,x16971)),x16972),x16974,x16972,x16971,f90(x16971,x16971)),x16972,x16971,x16971),f54(x16971)),x16975,x16972,x16971),f85(x16974,x16973))+~P83(f85(f85(f86(x16972),x16973),x16975))
% 2.56/2.92 [1251]~P2(x12512)+~P8(x12515,x12511)+E(f85(f85(f52(x12511,x12512),x12513),f78(x12514,x12515,x12511)),f85(f85(f58(x12512),f85(x12513,x12514)),f85(f85(f52(x12511,x12512),x12513),x12515)))+P83(f85(f85(f86(x12511),x12514),x12515))
% 2.56/2.92 [1376]~P47(x13761)+~P20(x13763,x13765,x13761)+~P83(f85(f85(f50(x13761),x13762),x13764))+P83(f85(f85(f50(x13761),f85(f85(f58(x13761),x13762),x13763)),f85(f85(f58(x13761),x13764),x13765)))
% 2.56/2.92 [1377]~P47(x13771)+~P20(x13772,x13774,x13771)+~P83(f85(f85(f50(x13771),x13773),x13775))+P83(f85(f85(f50(x13771),f85(f85(f58(x13771),x13772),x13773)),f85(f85(f58(x13771),x13774),x13775)))
% 2.56/2.92 [1384]~P47(x13841)+~P83(f85(f85(f50(x13841),x13843),x13845))+~P83(f85(f85(f50(x13841),x13842),x13844))+P83(f85(f85(f50(x13841),f85(f85(f58(x13841),x13842),x13843)),f85(f85(f58(x13841),x13844),x13845)))
% 2.56/2.92 [1483]~P62(x14832)+E(x14831,f4(x14832))+E(x14833,f4(x14832))+E(f85(f85(f56(x14832),f85(f85(f58(x14832),f85(f85(f59(x14832),x14834),x14831)),f85(f85(f59(x14832),x14835),x14833))),f85(f85(f59(x14832),x14833),x14831)),f85(f85(f58(x14832),f85(f85(f56(x14832),x14834),x14833)),f85(f85(f56(x14832),x14835),x14831)))
% 2.56/2.92 [1484]~P62(x14842)+E(x14841,f4(x14842))+E(x14843,f4(x14842))+E(f85(f85(f56(x14842),f85(f85(f55(x14842),f85(f85(f59(x14842),x14844),x14841)),f85(f85(f59(x14842),x14845),x14843))),f85(f85(f59(x14842),x14843),x14841)),f85(f85(f55(x14842),f85(f85(f56(x14842),x14844),x14843)),f85(f85(f56(x14842),x14845),x14841)))
% 2.56/2.92 [1492]~P2(x14921)+~P8(x14925,x14922)+~P8(x14924,x14922)+E(f85(f85(f58(x14921),f85(f85(f52(x14922,x14921),x14923),f62(x14924,x14925,f90(x14922,a2)))),f85(f85(f52(x14922,x14921),x14923),f61(x14924,x14925,f90(x14922,a2)))),f85(f85(f58(x14921),f85(f85(f52(x14922,x14921),x14923),x14924)),f85(f85(f52(x14922,x14921),x14923),x14925)))
% 2.56/2.92 [1523]~P29(x15231)+~P8(x15235,x15232)+~P8(x15234,x15232)+E(f85(f85(f55(x15231),f85(f85(f58(x15231),f85(f85(f52(x15232,x15231),x15233),x15234)),f85(f85(f52(x15232,x15231),x15233),x15235))),f85(f85(f52(x15232,x15231),x15233),f61(x15234,x15235,f90(x15232,a2)))),f85(f85(f52(x15232,x15231),x15233),f62(x15234,x15235,f90(x15232,a2))))
% 2.56/2.92 [1548]~P9(x15485,x15484,x15481)+~E(f77(x15484,f78(x15482,f60(f90(x15481,a2)),x15481),x15481,x15481),f77(x15484,f78(x15483,f60(f90(x15481,a2)),x15481),x15481,x15481))+~P83(f85(f85(f86(x15481),x15483),x15485))+P83(f85(f85(f86(f91(x15481,x15481)),f69(x15482,x15483,x15481,x15481)),x15484))
% 2.56/2.92 [1553]~P36(x15531)+~P8(x15534,x15535)+~P8(x15533,x15535)+E(f85(f85(f59(x15531),f53(x15532,f62(x15533,x15534,f90(x15535,a2)),x15535,x15531)),f53(x15532,f61(x15533,x15534,f90(x15535,a2)),x15535,x15531)),f85(f85(f59(x15531),f53(x15532,x15533,x15535,x15531)),f53(x15532,x15534,x15535,x15531)))
% 2.56/2.92 [1578]~P16(x15784,x15785)+P83(f85(x15781,x15782))+P83(f85(x15781,x15783))+~P83(f85(f85(f86(f91(x15785,x15785)),f69(x15782,f44(x15781,x15784,x15785),x15785,x15785)),x15784))
% 2.56/2.92 [1579]~P16(x15794,x15795)+P83(f85(x15791,x15792))+P83(f85(x15791,x15793))+~P83(f85(f85(f86(f91(x15795,x15795)),f69(x15792,f64(x15791,x15794,x15795),x15795,x15795)),x15794))
% 2.56/2.92 [1580]~P16(x15804,x15805)+P83(f85(x15801,x15802))+P83(f85(x15801,x15803))+~P83(f85(f85(f86(f91(x15805,x15805)),f69(x15802,f45(x15801,x15804,x15805),x15805,x15805)),x15804))
% 2.56/2.92 [1581]~P16(x15814,x15815)+P83(f85(x15811,x15812))+P83(f85(x15811,x15813))+~P83(f85(f85(f86(f91(x15815,x15815)),f69(x15812,f47(x15811,x15814,x15815),x15815,x15815)),x15814))
% 2.56/2.92 [1585]P83(f85(x15851,x15852))+P83(f85(x15851,x15853))+~P83(f85(f85(f86(x15854),x15853),f82(x15855,x15854)))+~P83(f85(f85(f86(f91(x15854,x15854)),f69(x15852,f13(x15851,x15855,x15854),x15854,x15854)),x15855))
% 2.56/2.92 [1586]P83(f85(x15861,x15862))+P83(f85(x15861,x15863))+~P83(f85(f85(f86(x15864),x15863),f82(x15865,x15864)))+~P83(f85(f85(f86(f91(x15864,x15864)),f69(x15862,f41(x15861,x15865,x15864),x15864,x15864)),x15865))
% 2.56/2.92 [1588]~P16(x15881,x15882)+~P83(f85(f85(f86(x15882),x15883),x15884))+~P83(f85(f85(f86(x15882),x15885),x15884))+~P83(f85(f85(f86(f91(x15882,x15882)),f69(x15885,f46(x15884,x15881,x15882),x15882,x15882)),x15881))
% 2.56/2.92 [1589]~P16(x15891,x15892)+~P83(f85(f85(f86(x15892),x15893),x15894))+~P83(f85(f85(f86(x15892),x15895),x15894))+~P83(f85(f85(f86(f91(x15892,x15892)),f69(x15895,f42(x15894,x15891,x15892),x15892,x15892)),x15891))
% 2.56/2.92 [1599]~P9(x15995,x15994,x15991)+~P20(f77(x15994,f78(x15993,f60(f90(x15991,a2)),x15991),x15991,x15991),f77(x15994,f78(x15992,f60(f90(x15991,a2)),x15991),x15991,x15991),f90(x15991,a2))+~P83(f85(f85(f86(x15991),x15993),x15995))+P83(f85(f85(f86(f91(x15991,x15991)),f69(x15992,x15993,x15991,x15991)),x15994))
% 2.56/2.92 [1632]~P58(x16321)+~P62(x16321)+~P8(x16325,x16323)+E(f53(f48(f7(f56(x16321),x16322,x16321,f90(x16321,x16321),x16323),x16324,x16323,x16321,x16321),x16325,x16323,x16321),f85(f85(f56(x16321),f53(x16322,x16325,x16323,x16321)),f53(x16324,x16325,x16323,x16321)))
% 2.56/2.92 [1658]~P83(f85(x16581,x16584))+P83(f85(x16581,x16582))+~P83(f85(f85(f86(f91(x16583,x16583)),f69(x16582,x16584,x16583,x16583)),f75(x16585,x16583)))+P83(f85(f85(f86(f91(x16583,x16583)),f69(f30(x16581,x16584,x16585,x16583),f29(x16581,x16584,x16585,x16583),x16583,x16583)),x16585))
% 2.56/2.92 [1659]~P83(f85(x16591,x16594))+P83(f85(x16591,x16592))+~P83(f85(f85(f86(f91(x16593,x16593)),f69(x16594,x16592,x16593,x16593)),f75(x16595,x16593)))+P83(f85(f85(f86(f91(x16593,x16593)),f69(f33(x16591,x16594,x16595,x16593),f37(x16591,x16594,x16595,x16593),x16593,x16593)),x16595))
% 2.56/2.92 [1700]~P2(x17002)+~P8(x17005,x17001)+E(f85(f85(f52(x17001,x17002),f85(f6(f48(f7(f51(x17002),f85(f83(x17001),x17003),a2,f90(x17002,f90(x17002,x17002)),x17001),x17004,x17001,x17002,f90(x17002,x17002)),x17001,x17002,x17002),f4(x17002))),x17005),f4(x17002))+P83(f85(f85(f86(x17001),x17003),x17005))
% 2.56/2.92 [1701]~P2(x17012)+~P8(x17015,x17011)+E(f85(f85(f52(x17011,x17012),f85(f6(f48(f7(f51(x17012),f85(f83(x17011),x17013),a2,f90(x17012,f90(x17012,x17012)),x17011),x17014,x17011,x17012,f90(x17012,x17012)),x17011,x17012,x17012),f4(x17012))),x17015),f85(x17014,x17013))+~P83(f85(f85(f86(x17011),x17013),x17015))
% 2.56/2.92 [1706]~P2(x17062)+~P8(x17065,x17061)+E(f85(f85(f52(x17061,x17062),f85(f6(f48(f7(f51(x17062),f85(f6(f83(x17061),x17061,x17061,a2),x17063),a2,f90(x17062,f90(x17062,x17062)),x17061),x17064,x17061,x17062,f90(x17062,x17062)),x17061,x17062,x17062),f4(x17062))),x17065),f4(x17062))+P83(f85(f85(f86(x17061),x17063),x17065))
% 2.56/2.92 [1707]~P2(x17072)+~P8(x17075,x17071)+E(f85(f85(f52(x17071,x17072),f85(f6(f48(f7(f51(x17072),f85(f6(f83(x17071),x17071,x17071,a2),x17073),a2,f90(x17072,f90(x17072,x17072)),x17071),x17074,x17071,x17072,f90(x17072,x17072)),x17071,x17072,x17072),f4(x17072))),x17075),f85(x17074,x17073))+~P83(f85(f85(f86(x17071),x17073),x17075))
% 2.56/2.92 [1625]E(x16251,x16252)+~P13(x16253,x16254,x16255)+~P83(f85(f85(f86(f91(x16254,x16255)),f69(x16256,x16251,x16254,x16255)),x16253))+~P83(f85(f85(f86(f91(x16254,x16255)),f69(x16256,x16252,x16254,x16255)),x16253))
% 2.56/2.92 [1696]~P36(x16961)+~P8(x16966,x16962)+E(f53(f85(f6(f48(f7(f51(x16961),f85(f6(f83(x16962),x16962,x16962,a2),x16963),a2,f90(x16961,f90(x16961,x16961)),x16962),x16964,x16962,x16961,f90(x16961,x16961)),x16962,x16961,x16961),x16965),x16966,x16962,x16961),f71(x16965,f5(x16966,x16962),x16961))+P83(f85(f85(f86(x16962),x16963),x16966))
% 2.56/2.92 [1639]~P11(x16397,x16391,x16392,x16398,x16394,x16395)+~P9(x16396,x16397,x16398)+P10(x16391,f85(x16392,x16393),x16394,x16395)+~P83(f85(f85(f86(x16398),x16393),x16396))
% 2.56/2.92 [1668]~P11(x16686,x16687,x16681,x16688,x16689,x166810)+E(f85(f85(x16681,x16682),x16683),f85(f85(x16681,x16684),x16685))+~P83(f85(f85(f86(f91(x16688,x16688)),f69(x16682,x16684,x16688,x16688)),x16686))+~P83(f85(f85(f86(f91(x16689,x16689)),f69(x16683,x16685,x16689,x16689)),x16687))
% 2.56/2.92 [737]~P59(x7372)+~P48(x7372)+~P80(x7372)+~P60(x7372)+~E(f71(x7371,f4(a1),x7372),f4(x7372))
% 2.56/2.92 [1387]~P67(x13871)+~P58(x13871)+~P83(f85(f85(f50(x13871),f85(f85(f56(x13871),x13873),x13872)),f4(x13871)))+P83(f85(f85(f50(x13871),x13872),f4(x13871)))+P83(f85(f85(f50(x13871),x13873),f4(x13871)))
% 2.56/2.92 [955]~P46(x9552)+~P20(f4(x9552),x9551,x9552)+~P20(f4(x9552),x9553,x9552)+E(x9551,f4(x9552))+~E(f85(f85(f58(x9552),x9553),x9551),f4(x9552))
% 2.56/2.92 [956]~P46(x9562)+~P20(f4(x9562),x9563,x9562)+~P20(f4(x9562),x9561,x9562)+E(x9561,f4(x9562))+~E(f85(f85(f58(x9562),x9561),x9563),f4(x9562))
% 2.56/2.92 [1061]~P67(x10611)+~P58(x10611)+~P20(x10613,f4(x10611),x10611)+~P20(x10612,f4(x10611),x10611)+P20(f4(x10611),f85(f85(f56(x10611),x10612),x10613),x10611)
% 2.56/2.92 [1062]~P67(x10621)+~P58(x10621)+~P20(f4(x10621),x10623,x10621)+~P20(f4(x10621),x10622,x10621)+P20(f4(x10621),f85(f85(f56(x10621),x10622),x10623),x10621)
% 2.56/2.92 [1063]~P67(x10631)+~P58(x10631)+~P20(x10633,f4(x10631),x10631)+~P20(f4(x10631),x10632,x10631)+P20(f85(f85(f56(x10631),x10632),x10633),f4(x10631),x10631)
% 2.56/2.92 [1064]~P67(x10641)+~P58(x10641)+~P20(x10642,f4(x10641),x10641)+~P20(f4(x10641),x10643,x10641)+P20(f85(f85(f56(x10641),x10642),x10643),f4(x10641),x10641)
% 2.56/2.92 [1088]~P67(x10882)+~P58(x10882)+P20(x10881,f4(x10882),x10882)+P20(x10883,f4(x10882),x10882)+~P20(f85(f85(f56(x10882),x10883),x10881),f4(x10882),x10882)
% 2.56/2.92 [1089]~P67(x10892)+~P58(x10892)+P20(x10891,f4(x10892),x10892)+P20(f4(x10892),x10893,x10892)+~P20(f4(x10892),f85(f85(f56(x10892),x10893),x10891),x10892)
% 2.56/2.92 [1090]~P67(x10902)+~P58(x10902)+P20(x10901,f4(x10902),x10902)+P20(f4(x10902),x10903,x10902)+~P20(f4(x10902),f85(f85(f56(x10902),x10901),x10903),x10902)
% 2.56/2.92 [1091]~P67(x10912)+~P58(x10912)+P20(x10911,f4(x10912),x10912)+P20(f4(x10912),x10911,x10912)+~P20(f4(x10912),f85(f85(f56(x10912),x10913),x10911),x10912)
% 2.56/2.92 [1092]~P67(x10922)+~P58(x10922)+P20(x10921,f4(x10922),x10922)+P20(f4(x10922),x10921,x10922)+~P20(f4(x10922),f85(f85(f56(x10922),x10921),x10923),x10922)
% 2.56/2.92 [1093]~P67(x10932)+~P58(x10932)+P20(x10931,f4(x10932),x10932)+P20(f4(x10932),x10931,x10932)+~P20(f85(f85(f56(x10932),x10933),x10931),f4(x10932),x10932)
% 2.56/2.92 [1094]~P67(x10942)+~P58(x10942)+P20(x10941,f4(x10942),x10942)+P20(f4(x10942),x10941,x10942)+~P20(f85(f85(f56(x10942),x10941),x10943),f4(x10942),x10942)
% 2.56/2.92 [1095]~P67(x10951)+~P58(x10951)+P20(f4(x10951),x10952,x10951)+P20(f4(x10951),x10953,x10951)+~P20(f85(f85(f56(x10951),x10952),x10953),f4(x10951),x10951)
% 2.56/2.92 [1160]~P66(x11601)+~P20(x11602,f54(x11601),x11601)+~P20(f4(x11601),x11603,x11601)+~P20(f4(x11601),x11602,x11601)+P20(f85(f85(f59(x11601),x11602),x11603),x11603,x11601)
% 2.56/2.92 [1161]~P66(x11611)+~P20(x11613,f54(x11611),x11611)+~P20(f4(x11611),x11613,x11611)+~P20(f4(x11611),x11612,x11611)+P20(f85(f85(f59(x11611),x11612),x11613),x11612,x11611)
% 2.56/2.92 [1395]~P67(x13951)+~P58(x13951)+~P83(f85(f85(f50(x13951),f85(f85(f56(x13951),x13953),x13952)),f4(x13951)))+P83(f85(f85(f50(x13951),x13952),f4(x13951)))+P83(f85(f85(f50(x13951),f4(x13951)),x13952))
% 2.56/2.92 [1396]~P67(x13961)+~P58(x13961)+~P83(f85(f85(f50(x13961),f85(f85(f56(x13961),x13962),x13963)),f4(x13961)))+P83(f85(f85(f50(x13961),x13962),f4(x13961)))+P83(f85(f85(f50(x13961),f4(x13961)),x13962))
% 2.56/2.92 [1404]~P67(x14041)+~P58(x14041)+~P83(f85(f85(f50(x14041),f85(f85(f56(x14041),x14042),x14043)),f4(x14041)))+P83(f85(f85(f50(x14041),f4(x14041)),x14042))+P83(f85(f85(f50(x14041),f4(x14041)),x14043))
% 2.56/2.92 [1327]~P67(x13271)+~P58(x13271)+P83(f85(f85(f50(x13271),x13272),f4(x13271)))+P83(f85(f85(f50(x13271),f4(x13271)),x13273))+~P83(f85(f85(f50(x13271),f4(x13271)),f85(f85(f56(x13271),x13273),x13272)))
% 2.56/2.92 [1328]~P67(x13281)+~P58(x13281)+P83(f85(f85(f50(x13281),x13282),f4(x13281)))+P83(f85(f85(f50(x13281),f4(x13281)),x13283))+~P83(f85(f85(f50(x13281),f4(x13281)),f85(f85(f56(x13281),x13282),x13283)))
% 2.56/2.92 [1329]~P67(x13291)+~P58(x13291)+P83(f85(f85(f50(x13291),x13292),f4(x13291)))+P83(f85(f85(f50(x13291),f4(x13291)),x13292))+~P83(f85(f85(f50(x13291),f4(x13291)),f85(f85(f56(x13291),x13293),x13292)))
% 2.56/2.92 [1330]~P67(x13301)+~P58(x13301)+P83(f85(f85(f50(x13301),x13302),f4(x13301)))+P83(f85(f85(f50(x13301),f4(x13301)),x13302))+~P83(f85(f85(f50(x13301),f4(x13301)),f85(f85(f56(x13301),x13302),x13303)))
% 2.56/2.92 [1226]~P56(x12263)+~P20(x12264,x12262,a1)+~P20(x12261,f54(x12263),x12263)+~P20(f4(x12263),x12261,x12263)+P20(f71(x12261,x12262,x12263),f71(x12261,x12264,x12263),x12263)
% 2.56/2.92 [1370]~P1(x13704)+~P59(x13704)+~P8(x13702,x13703)+~E(f53(x13701,x13702,x13703,x13704),f4(x13704))+E(f85(x13701,f16(x13702,x13701,x13703,x13704)),f4(x13704))
% 2.56/2.92 [1031]~P2(x10312)+~P34(x10312)+~P20(x10311,x10314,x10312)+~P20(f4(x10312),x10313,x10312)+P20(x10311,f85(f85(f58(x10312),x10313),x10314),x10312)
% 2.56/2.92 [1032]~P2(x10322)+~P34(x10322)+~P20(x10321,x10323,x10322)+~P20(f4(x10322),x10324,x10322)+P20(x10321,f85(f85(f58(x10322),x10323),x10324),x10322)
% 2.56/2.92 [1166]~P67(x11661)+~P58(x11661)+~P20(x11664,x11662,x11661)+~P20(x11663,f4(x11661),x11661)+P20(f85(f85(f56(x11661),x11662),x11663),f85(f85(f56(x11661),x11664),x11663),x11661)
% 2.56/2.92 [1167]~P67(x11671)+~P58(x11671)+~P20(x11672,x11674,x11671)+~P20(f4(x11671),x11673,x11671)+P20(f85(f85(f56(x11671),x11672),x11673),f85(f85(f56(x11671),x11674),x11673),x11671)
% 2.56/2.92 [1258]~P67(x12582)+~P58(x12582)+~P20(f85(f85(f56(x12582),x12581),x12584),x12583,x12582)+P20(x12581,f85(f85(f59(x12582),x12583),x12584),x12582)+~P83(f85(f85(f50(x12582),f4(x12582)),x12584))
% 2.56/2.92 [1260]~P67(x12601)+~P58(x12601)+~P20(x12602,f85(f85(f56(x12601),x12604),x12603),x12601)+P20(f85(f85(f59(x12601),x12602),x12603),x12604,x12601)+~P83(f85(f85(f50(x12601),f4(x12601)),x12603))
% 2.56/2.92 [1417]~P56(x14171)+~P20(f4(x14171),x14172,x14171)+P83(f85(f85(f50(x14171),f71(x14172,x14173,x14171)),f71(x14174,x14173,x14171)))+~P83(f85(f85(f50(x14171),x14172),x14174))+~P83(f85(f85(f50(a1),f4(a1)),x14173))
% 2.56/2.92 [1431]~P56(x14311)+~P83(f85(f85(f50(x14311),x14312),f54(x14311)))+P83(f85(f85(f50(x14311),f71(x14312,x14313,x14311)),f71(x14312,x14314,x14311)))+~P83(f85(f85(f50(x14311),f4(x14311)),x14312))+~P83(f85(f85(f50(a1),x14314),x14313))
% 2.56/2.92 [1507]~P1(x15074)+~P59(x15074)+~P8(x15072,x15071)+~E(f53(x15073,x15072,x15071,x15074),f4(x15074))+P83(f85(f85(f86(x15071),f16(x15072,x15073,x15071,x15074)),x15072))
% 2.56/2.92 [1244]~P2(x12441)+~P34(x12441)+~P20(f4(x12441),x12443,x12441)+~P83(f85(f85(f50(x12441),x12442),x12444))+P83(f85(f85(f50(x12441),x12442),f85(f85(f58(x12441),x12443),x12444)))
% 2.56/2.92 [1250]~P2(x12501)+~P34(x12501)+~P20(x12502,x12504,x12501)+~P83(f85(f85(f50(x12501),f4(x12501)),x12503))+P83(f85(f85(f50(x12501),x12502),f85(f85(f58(x12501),x12503),x12504)))
% 2.56/2.92 [1375]~P67(x13751)+~P20(x13754,x13753,x13751)+~P20(f4(x13751),x13752,x13751)+P20(f85(f85(f56(x13751),x13752),x13753),f85(f85(f56(x13751),x13752),x13754),x13751)+~P83(f85(f85(f50(x13751),f4(x13751)),f85(f85(f59(x13751),x13753),x13754)))
% 2.56/2.92 [1464]~P67(x14641)+~P83(f85(f85(f50(x14641),x14642),f4(x14641)))+~P83(f85(f85(f50(x14641),x14643),x14644))+~P83(f85(f85(f50(x14641),f4(x14641)),f85(f85(f59(x14641),x14643),x14644)))+P83(f85(f85(f50(x14641),f85(f85(f56(x14641),x14642),x14643)),f85(f85(f56(x14641),x14642),x14644)))
% 2.56/2.92 [1465]~P67(x14651)+~P83(f85(f85(f50(x14651),x14654),x14653))+~P83(f85(f85(f50(x14651),f4(x14651)),x14652))+~P83(f85(f85(f50(x14651),f4(x14651)),f85(f85(f59(x14651),x14653),x14654)))+P83(f85(f85(f50(x14651),f85(f85(f56(x14651),x14652),x14653)),f85(f85(f56(x14651),x14652),x14654)))
% 2.56/2.92 [1422]~P67(x14221)+~P58(x14221)+~P83(f85(f85(f50(x14221),f4(x14221)),x14223))+~P83(f85(f85(f50(x14221),x14222),f85(f85(f56(x14221),x14224),x14223)))+P83(f85(f85(f50(x14221),f85(f85(f59(x14221),x14222),x14223)),x14224))
% 2.56/2.92 [1438]~P67(x14381)+~P58(x14381)+~P83(f85(f85(f50(x14381),f4(x14381)),x14384))+P83(f85(f85(f50(x14381),x14382),f85(f85(f59(x14381),x14383),x14384)))+~P83(f85(f85(f50(x14381),f85(f85(f56(x14381),x14382),x14384)),x14383))
% 2.56/2.92 [1418]~P57(x14184)+~P36(x14184)+~P8(x14185,x14183)+P19(f53(x14181,x14182,x14183,x14184),f53(x14181,x14185,x14183,x14184),x14184)+~P20(x14182,x14185,f90(x14183,a2))
% 2.56/2.92 [1653]~P13(x16534,x16531,x16531)+P83(f85(f85(f86(f91(x16531,x16531)),f69(x16532,x16533,x16531,x16531)),f75(x16534,x16531)))+P83(f85(f85(f86(f91(x16531,x16531)),f69(x16533,x16532,x16531,x16531)),f75(x16534,x16531)))+~P83(f85(f85(f86(f91(x16531,x16531)),f69(x16535,x16533,x16531,x16531)),f75(x16534,x16531)))+~P83(f85(f85(f86(f91(x16531,x16531)),f69(x16535,x16532,x16531,x16531)),f75(x16534,x16531)))
% 2.56/2.92 [951]~P62(x9512)+E(x9511,f4(x9512))+E(x9513,f4(x9512))+~E(f85(f85(f59(x9512),x9514),x9513),f85(f85(f59(x9512),x9515),x9511))+E(f85(f85(f56(x9512),x9514),x9511),f85(f85(f56(x9512),x9515),x9513))
% 2.56/2.92 [952]~P62(x9522)+E(x9521,f4(x9522))+E(x9523,f4(x9522))+~E(f85(f85(f56(x9522),x9524),x9523),f85(f85(f56(x9522),x9525),x9521))+E(f85(f85(f59(x9522),x9524),x9521),f85(f85(f59(x9522),x9525),x9523))
% 2.56/2.92 [1191]~P1(x11914)+~P8(x11912,x11913)+E(f53(x11911,x11912,x11913,x11914),f4(x11914))+~E(f85(x11911,x11915),f4(x11914))+~P83(f85(f85(f86(x11913),x11915),x11912))
% 2.56/2.92 [1491]~P36(x14911)+~P8(x14915,x14914)+~P8(x14913,x14914)+~E(f61(x14913,x14915,f90(x14914,a2)),f60(f90(x14914,a2)))+E(f85(f85(f59(x14911),f53(x14912,x14913,x14914,x14911)),f53(x14912,x14915,x14914,x14911)),f53(x14912,f62(x14913,x14915,f90(x14914,a2)),x14914,x14911))
% 2.56/2.92 [1204]~P63(x12044)+~P22(x12044)+E(x12041,x12042)+E(x12043,f4(x12044))+~E(f85(f85(f58(x12044),x12045),f85(f85(f59(x12044),x12043),x12041)),f85(f85(f58(x12044),x12045),f85(f85(f59(x12044),x12043),x12042)))
% 2.56/2.92 [1382]~P2(x13821)+~P8(x13825,x13822)+~P8(x13824,x13822)+~E(f61(x13824,x13825,f90(x13822,a2)),f60(f90(x13822,a2)))+E(f85(f85(f58(x13821),f85(f85(f52(x13822,x13821),x13823),x13824)),f85(f85(f52(x13822,x13821),x13823),x13825)),f85(f85(f52(x13822,x13821),x13823),f62(x13824,x13825,f90(x13822,a2))))
% 2.56/2.92 [1414]~P63(x14145)+~P22(x14145)+E(x14141,x14142)+E(x14143,x14144)+~E(f85(f85(f58(x14145),f85(f85(f59(x14145),x14143),x14141)),f85(f85(f59(x14145),x14144),x14142)),f85(f85(f58(x14145),f85(f85(f59(x14145),x14143),x14142)),f85(f85(f59(x14145),x14144),x14141)))
% 2.56/2.92 [1471]~P57(x14712)+~P55(x14712)+~P19(x14711,x14715,x14712)+~P19(x14711,f85(f85(f58(x14712),x14713),x14716),x14712)+P19(x14711,f85(f85(f58(x14712),f85(f85(f55(x14712),x14713),f85(f85(f59(x14712),x14714),x14715))),x14716),x14712)
% 2.56/2.92 [1501]~P57(x15012)+~P55(x15012)+~P19(x15011,x15015,x15012)+P19(x15011,f85(f85(f58(x15012),x15013),x15014),x15012)+~P19(x15011,f85(f85(f58(x15012),f85(f85(f55(x15012),x15013),f85(f85(f59(x15012),x15016),x15015))),x15014),x15012)
% 2.56/2.92 [695]~P59(x6952)+~P48(x6952)+~P80(x6952)+~P60(x6952)+E(x6951,f4(a1))+E(f71(f4(x6952),x6951,x6952),f4(x6952))
% 2.56/2.92 [738]~P59(x7382)+~P48(x7382)+~P80(x7382)+~P60(x7382)+~E(f71(x7381,x7383,x7382),f4(x7382))+E(x7381,f4(x7382))
% 2.56/2.92 [1206]~P67(x12061)+~P58(x12061)+~P20(x12063,f4(x12061),x12061)+P20(x12063,f85(f85(f56(x12061),x12064),x12062),x12061)+P83(f85(f85(f50(x12061),x12062),f4(x12061)))+P83(f85(f85(f50(x12061),f4(x12061)),x12062))
% 2.56/2.92 [1207]~P67(x12071)+~P58(x12071)+~P20(f4(x12071),x12074,x12071)+P20(f85(f85(f56(x12071),x12073),x12072),x12074,x12071)+P83(f85(f85(f50(x12071),x12072),f4(x12071)))+P83(f85(f85(f50(x12071),f4(x12071)),x12072))
% 2.56/2.92 [1221]~P56(x12214)+E(x12211,x12212)+~P20(f4(x12214),x12212,x12214)+~P20(f4(x12214),x12211,x12214)+~E(f71(x12211,x12213,x12214),f71(x12212,x12213,x12214))+~P83(f85(f85(f50(a1),f4(a1)),x12213))
% 2.56/2.92 [1235]~P67(x12352)+~P58(x12352)+P20(x12351,f4(x12352),x12352)+~P20(x12351,f85(f85(f56(x12352),x12354),x12353),x12352)+P83(f85(f85(f50(x12352),x12353),f4(x12352)))+P83(f85(f85(f50(x12352),f4(x12352)),x12353))
% 2.56/2.92 [1236]~P67(x12361)+~P58(x12361)+P20(f4(x12361),x12362,x12361)+~P20(f85(f85(f56(x12361),x12364),x12363),x12362,x12361)+P83(f85(f85(f50(x12361),x12363),f4(x12361)))+P83(f85(f85(f50(x12361),f4(x12361)),x12363))
% 2.56/2.92 [1266]~P67(x12661)+~P58(x12661)+~P20(x12663,f4(x12661),x12661)+~P20(f85(f85(f59(x12661),x12663),x12662),x12664,x12661)+P20(x12663,f85(f85(f56(x12661),x12664),x12662),x12661)+P83(f85(f85(f50(x12661),x12662),f4(x12661)))
% 2.56/2.92 [1267]~P67(x12671)+~P58(x12671)+~P20(f4(x12671),x12674,x12671)+~P20(x12673,f85(f85(f59(x12671),x12674),x12672),x12671)+P20(f85(f85(f56(x12671),x12673),x12672),x12674,x12671)+P83(f85(f85(f50(x12671),x12672),f4(x12671)))
% 2.56/2.92 [1272]~P67(x12721)+~P58(x12721)+~P20(x12723,f4(x12721),x12721)+~P20(x12724,f85(f85(f59(x12721),x12723),x12722),x12721)+P20(x12723,f85(f85(f56(x12721),x12724),x12722),x12721)+P83(f85(f85(f50(x12721),f4(x12721)),x12722))
% 2.56/2.92 [1273]~P67(x12731)+~P58(x12731)+~P20(f4(x12731),x12734,x12731)+~P20(f85(f85(f59(x12731),x12734),x12732),x12733,x12731)+P20(f85(f85(f56(x12731),x12733),x12732),x12734,x12731)+P83(f85(f85(f50(x12731),f4(x12731)),x12732))
% 2.56/2.92 [1304]~P67(x13041)+~P58(x13041)+~P20(x13044,f85(f85(f59(x13041),x13043),x13042),x13041)+P20(x13043,f85(f85(f56(x13041),x13044),x13042),x13041)+~P83(f85(f85(f50(x13041),x13042),f4(x13041)))+P83(f85(f85(f50(x13041),f4(x13041)),x13042))
% 2.56/2.92 [1305]~P67(x13051)+~P58(x13051)+~P20(x13054,f85(f85(f56(x13051),x13053),x13052),x13051)+P20(x13053,f85(f85(f59(x13051),x13054),x13052),x13051)+~P83(f85(f85(f50(x13051),x13052),f4(x13051)))+P83(f85(f85(f50(x13051),f4(x13051)),x13052))
% 2.56/2.92 [1306]~P67(x13061)+~P58(x13061)+~P20(f85(f85(f59(x13061),x13064),x13062),x13063,x13061)+P20(f85(f85(f56(x13061),x13063),x13062),x13064,x13061)+~P83(f85(f85(f50(x13061),x13062),f4(x13061)))+P83(f85(f85(f50(x13061),f4(x13061)),x13062))
% 2.56/2.92 [1307]~P67(x13071)+~P58(x13071)+~P20(f85(f85(f56(x13071),x13074),x13072),x13073,x13071)+P20(f85(f85(f59(x13071),x13073),x13072),x13074,x13071)+~P83(f85(f85(f50(x13071),x13072),f4(x13071)))+P83(f85(f85(f50(x13071),f4(x13071)),x13072))
% 2.56/2.92 [1319]~P67(x13192)+~P58(x13192)+~P20(x13191,f4(x13192),x13192)+~P20(x13193,f85(f85(f59(x13192),x13191),x13194),x13192)+~P20(f85(f85(f59(x13192),x13191),x13194),x13193,x13192)+P20(x13191,f85(f85(f56(x13192),x13193),x13194),x13192)
% 2.56/2.92 [1320]~P67(x13201)+~P58(x13201)+~P20(f4(x13201),x13204,x13201)+~P20(x13202,f85(f85(f59(x13201),x13204),x13203),x13201)+~P20(f85(f85(f59(x13201),x13204),x13203),x13202,x13201)+P20(f85(f85(f56(x13201),x13202),x13203),x13204,x13201)
% 2.56/2.92 [1343]~P67(x13432)+~P58(x13432)+~P20(x13433,f85(f85(f59(x13432),x13431),x13434),x13432)+~P20(f85(f85(f59(x13432),x13431),x13434),x13433,x13432)+P20(x13431,f85(f85(f56(x13432),x13433),x13434),x13432)+~P83(f85(f85(f50(x13432),x13434),f4(x13432)))
% 2.56/2.92 [1344]~P67(x13441)+~P58(x13441)+~P20(x13442,f85(f85(f59(x13441),x13444),x13443),x13441)+~P20(f85(f85(f59(x13441),x13444),x13443),x13442,x13441)+P20(f85(f85(f56(x13441),x13442),x13443),x13444,x13441)+~P83(f85(f85(f50(x13441),x13443),f4(x13441)))
% 2.56/2.92 [1322]~P67(x13221)+~P58(x13221)+P83(f85(f85(f50(x13221),x13222),f4(x13221)))+~P83(f85(f85(f50(x13221),x13223),f4(x13221)))+P83(f85(f85(f50(x13221),f4(x13221)),x13222))+P83(f85(f85(f50(x13221),x13223),f85(f85(f56(x13221),x13224),x13222)))
% 2.56/2.92 [1351]~P67(x13511)+~P58(x13511)+P83(f85(f85(f50(x13511),x13512),f4(x13511)))+P83(f85(f85(f50(x13511),x13513),f4(x13511)))+P83(f85(f85(f50(x13511),f4(x13511)),x13512))+~P83(f85(f85(f50(x13511),x13513),f85(f85(f56(x13511),x13514),x13512)))
% 2.56/2.92 [1378]~P67(x13781)+~P58(x13781)+~P20(x13783,x13784,x13781)+~P20(x13782,f4(x13781),x13781)+P20(f85(f85(f56(x13781),x13782),x13783),f85(f85(f56(x13781),x13782),x13784),x13781)+~P83(f85(f85(f50(x13781),f4(x13781)),f85(f85(f59(x13781),x13783),x13784)))
% 2.56/2.92 [1409]~P67(x14091)+~P58(x14091)+~P83(f85(f85(f50(x14091),x14092),f4(x14091)))+P83(f85(f85(f50(x14091),f4(x14091)),x14092))+~P83(f85(f85(f50(x14091),x14094),f85(f85(f59(x14091),x14093),x14092)))+P83(f85(f85(f50(x14091),x14093),f85(f85(f56(x14091),x14094),x14092)))
% 2.56/2.92 [1410]~P67(x14101)+~P58(x14101)+~P83(f85(f85(f50(x14101),x14103),f4(x14101)))+P83(f85(f85(f50(x14101),f4(x14101)),x14102))+~P83(f85(f85(f50(x14101),x14104),f85(f85(f59(x14101),x14103),x14102)))+P83(f85(f85(f50(x14101),x14103),f85(f85(f56(x14101),x14104),x14102)))
% 2.56/2.92 [1411]~P67(x14111)+~P58(x14111)+~P83(f85(f85(f50(x14111),x14112),f4(x14111)))+P83(f85(f85(f50(x14111),f4(x14111)),x14112))+~P83(f85(f85(f50(x14111),x14114),f85(f85(f56(x14111),x14113),x14112)))+P83(f85(f85(f50(x14111),x14113),f85(f85(f59(x14111),x14114),x14112)))
% 2.56/2.92 [1379]~P67(x13791)+~P58(x13791)+P83(f85(f85(f50(x13791),x13792),f4(x13791)))+P83(f85(f85(f50(x13791),f4(x13791)),x13792))+~P83(f85(f85(f50(x13791),f4(x13791)),x13794))+P83(f85(f85(f50(x13791),f85(f85(f56(x13791),x13793),x13792)),x13794))
% 2.56/2.92 [1419]~P67(x14191)+~P58(x14191)+P83(f85(f85(f50(x14191),x14192),f4(x14191)))+P83(f85(f85(f50(x14191),f4(x14191)),x14192))+P83(f85(f85(f50(x14191),f4(x14191)),x14193))+~P83(f85(f85(f50(x14191),f85(f85(f56(x14191),x14194),x14192)),x14193))
% 2.56/2.92 [1439]~P67(x14391)+~P58(x14391)+P83(f85(f85(f50(x14391),x14392),f4(x14391)))+~P83(f85(f85(f50(x14391),f4(x14391)),x14394))+~P83(f85(f85(f50(x14391),x14393),f85(f85(f59(x14391),x14394),x14392)))+P83(f85(f85(f50(x14391),f85(f85(f56(x14391),x14393),x14392)),x14394))
% 2.56/2.92 [1458]~P67(x14581)+~P58(x14581)+P83(f85(f85(f50(x14581),x14582),f4(x14581)))+~P83(f85(f85(f50(x14581),x14583),f4(x14581)))+P83(f85(f85(f50(x14581),x14583),f85(f85(f56(x14581),x14584),x14582)))+~P83(f85(f85(f50(x14581),f85(f85(f59(x14581),x14583),x14582)),x14584))
% 2.56/2.92 [1466]~P67(x14661)+~P58(x14661)+~P83(f85(f85(f50(x14661),x14662),f4(x14661)))+P83(f85(f85(f50(x14661),f4(x14661)),x14662))+~P83(f85(f85(f50(x14661),f85(f85(f59(x14661),x14664),x14662)),x14663))+P83(f85(f85(f50(x14661),f85(f85(f56(x14661),x14663),x14662)),x14664))
% 2.56/2.92 [1467]~P67(x14671)+~P58(x14671)+~P83(f85(f85(f50(x14671),x14672),f4(x14671)))+P83(f85(f85(f50(x14671),f4(x14671)),x14672))+~P83(f85(f85(f50(x14671),f85(f85(f56(x14671),x14674),x14672)),x14673))+P83(f85(f85(f50(x14671),f85(f85(f59(x14671),x14673),x14672)),x14674))
% 2.56/2.92 [1468]~P67(x14681)+~P58(x14681)+~P83(f85(f85(f50(x14681),f4(x14681)),x14684))+P83(f85(f85(f50(x14681),f4(x14681)),x14682))+~P83(f85(f85(f50(x14681),f85(f85(f59(x14681),x14684),x14682)),x14683))+P83(f85(f85(f50(x14681),f85(f85(f56(x14681),x14683),x14682)),x14684))
% 2.56/2.92 [1473]~P67(x14731)+~P58(x14731)+~P83(f85(f85(f50(x14731),x14734),f4(x14731)))+~P83(f85(f85(f50(x14731),x14733),f85(f85(f59(x14731),x14732),x14734)))+P83(f85(f85(f50(x14731),x14732),f85(f85(f56(x14731),x14733),x14734)))+~P83(f85(f85(f50(x14731),f85(f85(f59(x14731),x14732),x14734)),x14733))
% 2.56/2.92 [1474]~P67(x14741)+~P58(x14741)+~P83(f85(f85(f50(x14741),x14742),f4(x14741)))+~P83(f85(f85(f50(x14741),x14743),f85(f85(f59(x14741),x14742),x14744)))+P83(f85(f85(f50(x14741),x14742),f85(f85(f56(x14741),x14743),x14744)))+~P83(f85(f85(f50(x14741),f85(f85(f59(x14741),x14742),x14744)),x14743))
% 2.56/2.92 [1488]~P67(x14881)+~P58(x14881)+~P83(f85(f85(f50(x14881),x14883),f4(x14881)))+~P83(f85(f85(f50(x14881),x14882),f85(f85(f59(x14881),x14884),x14883)))+~P83(f85(f85(f50(x14881),f85(f85(f59(x14881),x14884),x14883)),x14882))+P83(f85(f85(f50(x14881),f85(f85(f56(x14881),x14882),x14883)),x14884))
% 2.56/2.92 [1489]~P67(x14891)+~P58(x14891)+~P83(f85(f85(f50(x14891),f4(x14891)),x14894))+~P83(f85(f85(f50(x14891),x14892),f85(f85(f59(x14891),x14894),x14893)))+~P83(f85(f85(f50(x14891),f85(f85(f59(x14891),x14894),x14893)),x14892))+P83(f85(f85(f50(x14891),f85(f85(f56(x14891),x14892),x14893)),x14894))
% 2.56/2.92 [1264]~P74(x12641)+~P20(x12643,x12645,x12641)+~P20(x12642,x12644,x12641)+~P20(f4(x12641),x12644,x12641)+~P20(f4(x12641),x12643,x12641)+P20(f85(f85(f59(x12641),x12642),x12643),f85(f85(f59(x12641),x12644),x12645),x12641)
% 2.56/2.92 [1265]~P74(x12651)+~P20(x12653,x12655,x12651)+~P20(x12652,x12654,x12651)+~P20(f4(x12651),x12653,x12651)+~P20(f4(x12651),x12652,x12651)+P20(f85(f85(f59(x12651),x12652),x12653),f85(f85(f59(x12651),x12654),x12655),x12651)
% 2.56/2.92 [1308]~P67(x13081)+~P20(x13085,x13083,x13081)+~P20(x13082,x13084,x13081)+~P20(f4(x13081),x13082,x13081)+P20(f85(f85(f56(x13081),x13082),x13083),f85(f85(f56(x13081),x13084),x13085),x13081)+~P83(f85(f85(f50(x13081),f4(x13081)),x13085))
% 2.56/2.92 [1577]E(x15771,x15772)+~P17(x15775,x15774,x15773)+~P83(f85(f85(f86(x15773),x15772),x15775))+~P83(f85(f85(f86(x15773),x15771),x15775))+P83(f85(f85(f86(f91(x15773,x15773)),f69(x15771,x15772,x15773,x15773)),x15774))+P83(f85(f85(f86(f91(x15773,x15773)),f69(x15772,x15771,x15773,x15773)),x15774))
% 2.56/2.92 [1427]~P69(x14271)+~P20(f4(x14271),x14273,x14271)+~P20(f4(x14271),x14272,x14271)+~P83(f85(f85(f50(x14271),x14273),x14275))+~P83(f85(f85(f50(x14271),x14272),x14274))+P83(f85(f85(f50(x14271),f85(f85(f59(x14271),x14272),x14273)),f85(f85(f59(x14271),x14274),x14275)))
% 2.56/2.92 [1428]~P67(x14281)+~P20(x14285,x14283,x14281)+~P20(f4(x14281),x14282,x14281)+~P83(f85(f85(f50(x14281),x14282),x14284))+~P83(f85(f85(f50(x14281),f4(x14281)),x14285))+P83(f85(f85(f50(x14281),f85(f85(f56(x14281),x14282),x14283)),f85(f85(f56(x14281),x14284),x14285)))
% 2.56/2.92 [1429]~P69(x14291)+~P20(x14293,x14295,x14291)+~P20(f4(x14291),x14292,x14291)+~P83(f85(f85(f50(x14291),x14292),x14294))+~P83(f85(f85(f50(x14291),f4(x14291)),x14293))+P83(f85(f85(f50(x14291),f85(f85(f59(x14291),x14292),x14293)),f85(f85(f59(x14291),x14294),x14295)))
% 2.56/2.92 [1430]~P69(x14301)+~P20(x14302,x14304,x14301)+~P20(f4(x14301),x14303,x14301)+~P83(f85(f85(f50(x14301),x14303),x14305))+~P83(f85(f85(f50(x14301),f4(x14301)),x14302))+P83(f85(f85(f50(x14301),f85(f85(f59(x14301),x14302),x14303)),f85(f85(f59(x14301),x14304),x14305)))
% 2.56/2.92 [1444]~P69(x14441)+~P20(f4(x14441),x14443,x14441)+~P83(f85(f85(f50(x14441),x14443),x14445))+~P83(f85(f85(f50(x14441),x14442),x14444))+~P83(f85(f85(f50(x14441),f4(x14441)),x14444))+P83(f85(f85(f50(x14441),f85(f85(f59(x14441),x14442),x14443)),f85(f85(f59(x14441),x14444),x14445)))
% 2.56/2.92 [1452]~P67(x14521)+~P20(x14522,x14524,x14521)+~P83(f85(f85(f50(x14521),x14525),x14523))+~P83(f85(f85(f50(x14521),f4(x14521)),x14525))+~P83(f85(f85(f50(x14521),f4(x14521)),x14522))+P83(f85(f85(f50(x14521),f85(f85(f56(x14521),x14522),x14523)),f85(f85(f56(x14521),x14524),x14525)))
% 2.56/2.92 %EqnAxiom
% 2.56/2.92 [1]E(x11,x11)
% 2.56/2.92 [2]E(x22,x21)+~E(x21,x22)
% 2.56/2.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.56/2.92 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 2.56/2.92 [5]~E(x51,x52)+E(f85(x51,x53),f85(x52,x53))
% 2.56/2.92 [6]~E(x61,x62)+E(f85(x63,x61),f85(x63,x62))
% 2.56/2.92 [7]~E(x71,x72)+E(f73(x71,x73),f73(x72,x73))
% 2.56/2.92 [8]~E(x81,x82)+E(f73(x83,x81),f73(x83,x82))
% 2.56/2.92 [9]~E(x91,x92)+E(f74(x91,x93),f74(x92,x93))
% 2.56/2.92 [10]~E(x101,x102)+E(f74(x103,x101),f74(x103,x102))
% 2.56/2.92 [11]~E(x111,x112)+E(f50(x111),f50(x112))
% 2.56/2.92 [12]~E(x121,x122)+E(f75(x121,x123),f75(x122,x123))
% 2.56/2.92 [13]~E(x131,x132)+E(f75(x133,x131),f75(x133,x132))
% 2.56/2.92 [14]~E(x141,x142)+E(f56(x141),f56(x142))
% 2.56/2.92 [15]~E(x151,x152)+E(f59(x151),f59(x152))
% 2.56/2.92 [16]~E(x161,x162)+E(f4(x161),f4(x162))
% 2.56/2.92 [17]~E(x171,x172)+E(f58(x171),f58(x172))
% 2.56/2.92 [18]~E(x181,x182)+E(f86(x181),f86(x182))
% 2.56/2.92 [19]~E(x191,x192)+E(f95(x191),f95(x192))
% 2.56/2.92 [20]~E(x201,x202)+E(f48(x201,x203,x204,x205,x206),f48(x202,x203,x204,x205,x206))
% 2.56/2.92 [21]~E(x211,x212)+E(f48(x213,x211,x214,x215,x216),f48(x213,x212,x214,x215,x216))
% 2.56/2.92 [22]~E(x221,x222)+E(f48(x223,x224,x221,x225,x226),f48(x223,x224,x222,x225,x226))
% 2.56/2.92 [23]~E(x231,x232)+E(f48(x233,x234,x235,x231,x236),f48(x233,x234,x235,x232,x236))
% 2.56/2.92 [24]~E(x241,x242)+E(f48(x243,x244,x245,x246,x241),f48(x243,x244,x245,x246,x242))
% 2.56/2.92 [25]~E(x251,x252)+E(f76(x251,x253,x254),f76(x252,x253,x254))
% 2.56/2.92 [26]~E(x261,x262)+E(f76(x263,x261,x264),f76(x263,x262,x264))
% 2.56/2.92 [27]~E(x271,x272)+E(f76(x273,x274,x271),f76(x273,x274,x272))
% 2.56/2.92 [28]~E(x281,x282)+E(f90(x281,x283),f90(x282,x283))
% 2.56/2.92 [29]~E(x291,x292)+E(f90(x293,x291),f90(x293,x292))
% 2.56/2.92 [30]~E(x301,x302)+E(f62(x301,x303,x304),f62(x302,x303,x304))
% 2.56/2.92 [31]~E(x311,x312)+E(f62(x313,x311,x314),f62(x313,x312,x314))
% 2.56/2.92 [32]~E(x321,x322)+E(f62(x323,x324,x321),f62(x323,x324,x322))
% 2.56/2.92 [33]~E(x331,x332)+E(f60(x331),f60(x332))
% 2.56/2.92 [34]~E(x341,x342)+E(f35(x341,x343),f35(x342,x343))
% 2.56/2.92 [35]~E(x351,x352)+E(f35(x353,x351),f35(x353,x352))
% 2.56/2.92 [36]~E(x361,x362)+E(f71(x361,x363,x364),f71(x362,x363,x364))
% 2.56/2.92 [37]~E(x371,x372)+E(f71(x373,x371,x374),f71(x373,x372,x374))
% 2.56/2.92 [38]~E(x381,x382)+E(f71(x383,x384,x381),f71(x383,x384,x382))
% 2.56/2.92 [39]~E(x391,x392)+E(f5(x391,x393),f5(x392,x393))
% 2.56/2.92 [40]~E(x401,x402)+E(f5(x403,x401),f5(x403,x402))
% 2.56/2.92 [41]~E(x411,x412)+E(f69(x411,x413,x414,x415),f69(x412,x413,x414,x415))
% 2.56/2.92 [42]~E(x421,x422)+E(f69(x423,x421,x424,x425),f69(x423,x422,x424,x425))
% 2.56/2.92 [43]~E(x431,x432)+E(f69(x433,x434,x431,x435),f69(x433,x434,x432,x435))
% 2.56/2.92 [44]~E(x441,x442)+E(f69(x443,x444,x445,x441),f69(x443,x444,x445,x442))
% 2.56/2.92 [45]~E(x451,x452)+E(f82(x451,x453),f82(x452,x453))
% 2.56/2.92 [46]~E(x461,x462)+E(f82(x463,x461),f82(x463,x462))
% 2.56/2.92 [47]~E(x471,x472)+E(f61(x471,x473,x474),f61(x472,x473,x474))
% 2.56/2.92 [48]~E(x481,x482)+E(f61(x483,x481,x484),f61(x483,x482,x484))
% 2.56/2.92 [49]~E(x491,x492)+E(f61(x493,x494,x491),f61(x493,x494,x492))
% 2.56/2.92 [50]~E(x501,x502)+E(f11(x501,x503),f11(x502,x503))
% 2.56/2.92 [51]~E(x511,x512)+E(f11(x513,x511),f11(x513,x512))
% 2.56/2.92 [52]~E(x521,x522)+E(f49(x521),f49(x522))
% 2.56/2.92 [53]~E(x531,x532)+E(f24(x531,x533),f24(x532,x533))
% 2.56/2.92 [54]~E(x541,x542)+E(f24(x543,x541),f24(x543,x542))
% 2.56/2.92 [55]~E(x551,x552)+E(f7(x551,x553,x554,x555,x556),f7(x552,x553,x554,x555,x556))
% 2.56/2.92 [56]~E(x561,x562)+E(f7(x563,x561,x564,x565,x566),f7(x563,x562,x564,x565,x566))
% 2.56/2.92 [57]~E(x571,x572)+E(f7(x573,x574,x571,x575,x576),f7(x573,x574,x572,x575,x576))
% 2.56/2.92 [58]~E(x581,x582)+E(f7(x583,x584,x585,x581,x586),f7(x583,x584,x585,x582,x586))
% 2.56/2.92 [59]~E(x591,x592)+E(f7(x593,x594,x595,x596,x591),f7(x593,x594,x595,x596,x592))
% 2.56/2.92 [60]~E(x601,x602)+E(f91(x601,x603),f91(x602,x603))
% 2.56/2.92 [61]~E(x611,x612)+E(f91(x613,x611),f91(x613,x612))
% 2.56/2.92 [62]~E(x621,x622)+E(f80(x621,x623,x624,x625,x626),f80(x622,x623,x624,x625,x626))
% 2.56/2.92 [63]~E(x631,x632)+E(f80(x633,x631,x634,x635,x636),f80(x633,x632,x634,x635,x636))
% 2.56/2.92 [64]~E(x641,x642)+E(f80(x643,x644,x641,x645,x646),f80(x643,x644,x642,x645,x646))
% 2.56/2.92 [65]~E(x651,x652)+E(f80(x653,x654,x655,x651,x656),f80(x653,x654,x655,x652,x656))
% 2.56/2.92 [66]~E(x661,x662)+E(f80(x663,x664,x665,x666,x661),f80(x663,x664,x665,x666,x662))
% 2.56/2.92 [67]~E(x671,x672)+E(f55(x671),f55(x672))
% 2.56/2.92 [68]~E(x681,x682)+E(f67(x681,x683,x684),f67(x682,x683,x684))
% 2.56/2.92 [69]~E(x691,x692)+E(f67(x693,x691,x694),f67(x693,x692,x694))
% 2.56/2.92 [70]~E(x701,x702)+E(f67(x703,x704,x701),f67(x703,x704,x702))
% 2.56/2.92 [71]~E(x711,x712)+E(f52(x711,x713),f52(x712,x713))
% 2.56/2.92 [72]~E(x721,x722)+E(f52(x723,x721),f52(x723,x722))
% 2.56/2.92 [73]~E(x731,x732)+E(f54(x731),f54(x732))
% 2.56/2.92 [74]~E(x741,x742)+E(f57(x741,x743),f57(x742,x743))
% 2.56/2.92 [75]~E(x751,x752)+E(f57(x753,x751),f57(x753,x752))
% 2.56/2.92 [76]~E(x761,x762)+E(f68(x761),f68(x762))
% 2.56/2.92 [77]~E(x771,x772)+E(f81(x771,x773,x774,x775),f81(x772,x773,x774,x775))
% 2.56/2.92 [78]~E(x781,x782)+E(f81(x783,x781,x784,x785),f81(x783,x782,x784,x785))
% 2.56/2.92 [79]~E(x791,x792)+E(f81(x793,x794,x791,x795),f81(x793,x794,x792,x795))
% 2.56/2.92 [80]~E(x801,x802)+E(f81(x803,x804,x805,x801),f81(x803,x804,x805,x802))
% 2.56/2.92 [81]~E(x811,x812)+E(f83(x811),f83(x812))
% 2.56/2.92 [82]~E(x821,x822)+E(f33(x821,x823,x824,x825),f33(x822,x823,x824,x825))
% 2.56/2.92 [83]~E(x831,x832)+E(f33(x833,x831,x834,x835),f33(x833,x832,x834,x835))
% 2.56/2.92 [84]~E(x841,x842)+E(f33(x843,x844,x841,x845),f33(x843,x844,x842,x845))
% 2.56/2.92 [85]~E(x851,x852)+E(f33(x853,x854,x855,x851),f33(x853,x854,x855,x852))
% 2.56/2.92 [86]~E(x861,x862)+E(f78(x861,x863,x864),f78(x862,x863,x864))
% 2.56/2.92 [87]~E(x871,x872)+E(f78(x873,x871,x874),f78(x873,x872,x874))
% 2.56/2.92 [88]~E(x881,x882)+E(f78(x883,x884,x881),f78(x883,x884,x882))
% 2.56/2.92 [89]~E(x891,x892)+E(f16(x891,x893,x894,x895),f16(x892,x893,x894,x895))
% 2.56/2.92 [90]~E(x901,x902)+E(f16(x903,x901,x904,x905),f16(x903,x902,x904,x905))
% 2.56/2.92 [91]~E(x911,x912)+E(f16(x913,x914,x911,x915),f16(x913,x914,x912,x915))
% 2.56/2.92 [92]~E(x921,x922)+E(f16(x923,x924,x925,x921),f16(x923,x924,x925,x922))
% 2.56/2.92 [93]~E(x931,x932)+E(f51(x931),f51(x932))
% 2.56/2.92 [94]~E(x941,x942)+E(f32(x941,x943,x944,x945,x946,x947,x948),f32(x942,x943,x944,x945,x946,x947,x948))
% 2.56/2.92 [95]~E(x951,x952)+E(f32(x953,x951,x954,x955,x956,x957,x958),f32(x953,x952,x954,x955,x956,x957,x958))
% 2.56/2.92 [96]~E(x961,x962)+E(f32(x963,x964,x961,x965,x966,x967,x968),f32(x963,x964,x962,x965,x966,x967,x968))
% 2.56/2.92 [97]~E(x971,x972)+E(f32(x973,x974,x975,x971,x976,x977,x978),f32(x973,x974,x975,x972,x976,x977,x978))
% 2.56/2.92 [98]~E(x981,x982)+E(f32(x983,x984,x985,x986,x981,x987,x988),f32(x983,x984,x985,x986,x982,x987,x988))
% 2.56/2.92 [99]~E(x991,x992)+E(f32(x993,x994,x995,x996,x997,x991,x998),f32(x993,x994,x995,x996,x997,x992,x998))
% 2.56/2.92 [100]~E(x1001,x1002)+E(f32(x1003,x1004,x1005,x1006,x1007,x1008,x1001),f32(x1003,x1004,x1005,x1006,x1007,x1008,x1002))
% 2.56/2.92 [101]~E(x1011,x1012)+E(f13(x1011,x1013,x1014),f13(x1012,x1013,x1014))
% 2.56/2.92 [102]~E(x1021,x1022)+E(f13(x1023,x1021,x1024),f13(x1023,x1022,x1024))
% 2.56/2.92 [103]~E(x1031,x1032)+E(f13(x1033,x1034,x1031),f13(x1033,x1034,x1032))
% 2.56/2.92 [104]~E(x1041,x1042)+E(f70(x1041,x1043,x1044,x1045),f70(x1042,x1043,x1044,x1045))
% 2.56/2.92 [105]~E(x1051,x1052)+E(f70(x1053,x1051,x1054,x1055),f70(x1053,x1052,x1054,x1055))
% 2.56/2.92 [106]~E(x1061,x1062)+E(f70(x1063,x1064,x1061,x1065),f70(x1063,x1064,x1062,x1065))
% 2.56/2.92 [107]~E(x1071,x1072)+E(f70(x1073,x1074,x1075,x1071),f70(x1073,x1074,x1075,x1072))
% 2.56/2.92 [108]~E(x1081,x1082)+E(f53(x1081,x1083,x1084,x1085),f53(x1082,x1083,x1084,x1085))
% 2.56/2.92 [109]~E(x1091,x1092)+E(f53(x1093,x1091,x1094,x1095),f53(x1093,x1092,x1094,x1095))
% 2.56/2.92 [110]~E(x1101,x1102)+E(f53(x1103,x1104,x1101,x1105),f53(x1103,x1104,x1102,x1105))
% 2.56/2.92 [111]~E(x1111,x1112)+E(f53(x1113,x1114,x1115,x1111),f53(x1113,x1114,x1115,x1112))
% 2.56/2.92 [112]~E(x1121,x1122)+E(f6(x1121,x1123,x1124,x1125),f6(x1122,x1123,x1124,x1125))
% 2.56/2.92 [113]~E(x1131,x1132)+E(f6(x1133,x1131,x1134,x1135),f6(x1133,x1132,x1134,x1135))
% 2.56/2.92 [114]~E(x1141,x1142)+E(f6(x1143,x1144,x1141,x1145),f6(x1143,x1144,x1142,x1145))
% 2.56/2.92 [115]~E(x1151,x1152)+E(f6(x1153,x1154,x1155,x1151),f6(x1153,x1154,x1155,x1152))
% 2.56/2.92 [116]~E(x1161,x1162)+E(f40(x1161,x1163,x1164,x1165),f40(x1162,x1163,x1164,x1165))
% 2.56/2.92 [117]~E(x1171,x1172)+E(f40(x1173,x1171,x1174,x1175),f40(x1173,x1172,x1174,x1175))
% 2.56/2.92 [118]~E(x1181,x1182)+E(f40(x1183,x1184,x1181,x1185),f40(x1183,x1184,x1182,x1185))
% 2.56/2.92 [119]~E(x1191,x1192)+E(f40(x1193,x1194,x1195,x1191),f40(x1193,x1194,x1195,x1192))
% 2.56/2.92 [120]~E(x1201,x1202)+E(f63(x1201),f63(x1202))
% 2.56/2.92 [121]~E(x1211,x1212)+E(f44(x1211,x1213,x1214),f44(x1212,x1213,x1214))
% 2.56/2.92 [122]~E(x1221,x1222)+E(f44(x1223,x1221,x1224),f44(x1223,x1222,x1224))
% 2.56/2.92 [123]~E(x1231,x1232)+E(f44(x1233,x1234,x1231),f44(x1233,x1234,x1232))
% 2.56/2.92 [124]~E(x1241,x1242)+E(f34(x1241,x1243,x1244,x1245),f34(x1242,x1243,x1244,x1245))
% 2.56/2.92 [125]~E(x1251,x1252)+E(f34(x1253,x1251,x1254,x1255),f34(x1253,x1252,x1254,x1255))
% 2.56/2.92 [126]~E(x1261,x1262)+E(f34(x1263,x1264,x1261,x1265),f34(x1263,x1264,x1262,x1265))
% 2.56/2.92 [127]~E(x1271,x1272)+E(f34(x1273,x1274,x1275,x1271),f34(x1273,x1274,x1275,x1272))
% 2.56/2.92 [128]~E(x1281,x1282)+E(f77(x1281,x1283,x1284,x1285),f77(x1282,x1283,x1284,x1285))
% 2.56/2.92 [129]~E(x1291,x1292)+E(f77(x1293,x1291,x1294,x1295),f77(x1293,x1292,x1294,x1295))
% 2.56/2.92 [130]~E(x1301,x1302)+E(f77(x1303,x1304,x1301,x1305),f77(x1303,x1304,x1302,x1305))
% 2.56/2.92 [131]~E(x1311,x1312)+E(f77(x1313,x1314,x1315,x1311),f77(x1313,x1314,x1315,x1312))
% 2.56/2.92 [132]~E(x1321,x1322)+E(f22(x1321,x1323,x1324),f22(x1322,x1323,x1324))
% 2.56/2.92 [133]~E(x1331,x1332)+E(f22(x1333,x1331,x1334),f22(x1333,x1332,x1334))
% 2.56/2.92 [134]~E(x1341,x1342)+E(f22(x1343,x1344,x1341),f22(x1343,x1344,x1342))
% 2.56/2.92 [135]~E(x1351,x1352)+E(f107(x1351,x1353,x1354),f107(x1352,x1353,x1354))
% 2.56/2.92 [136]~E(x1361,x1362)+E(f107(x1363,x1361,x1364),f107(x1363,x1362,x1364))
% 2.56/2.92 [137]~E(x1371,x1372)+E(f107(x1373,x1374,x1371),f107(x1373,x1374,x1372))
% 2.56/2.92 [138]~E(x1381,x1382)+E(f39(x1381,x1383,x1384,x1385),f39(x1382,x1383,x1384,x1385))
% 2.56/2.92 [139]~E(x1391,x1392)+E(f39(x1393,x1391,x1394,x1395),f39(x1393,x1392,x1394,x1395))
% 2.56/2.92 [140]~E(x1401,x1402)+E(f39(x1403,x1404,x1401,x1405),f39(x1403,x1404,x1402,x1405))
% 2.56/2.92 [141]~E(x1411,x1412)+E(f39(x1413,x1414,x1415,x1411),f39(x1413,x1414,x1415,x1412))
% 2.56/2.92 [142]~E(x1421,x1422)+E(f104(x1421,x1423),f104(x1422,x1423))
% 2.56/2.92 [143]~E(x1431,x1432)+E(f104(x1433,x1431),f104(x1433,x1432))
% 2.56/2.92 [144]~E(x1441,x1442)+E(f72(x1441,x1443,x1444,x1445,x1446),f72(x1442,x1443,x1444,x1445,x1446))
% 2.56/2.92 [145]~E(x1451,x1452)+E(f72(x1453,x1451,x1454,x1455,x1456),f72(x1453,x1452,x1454,x1455,x1456))
% 2.56/2.92 [146]~E(x1461,x1462)+E(f72(x1463,x1464,x1461,x1465,x1466),f72(x1463,x1464,x1462,x1465,x1466))
% 2.56/2.92 [147]~E(x1471,x1472)+E(f72(x1473,x1474,x1475,x1471,x1476),f72(x1473,x1474,x1475,x1472,x1476))
% 2.56/2.92 [148]~E(x1481,x1482)+E(f72(x1483,x1484,x1485,x1486,x1481),f72(x1483,x1484,x1485,x1486,x1482))
% 2.56/2.92 [149]~E(x1491,x1492)+E(f41(x1491,x1493,x1494),f41(x1492,x1493,x1494))
% 2.56/2.92 [150]~E(x1501,x1502)+E(f41(x1503,x1501,x1504),f41(x1503,x1502,x1504))
% 2.56/2.92 [151]~E(x1511,x1512)+E(f41(x1513,x1514,x1511),f41(x1513,x1514,x1512))
% 2.56/2.92 [152]~E(x1521,x1522)+E(f46(x1521,x1523,x1524),f46(x1522,x1523,x1524))
% 2.56/2.92 [153]~E(x1531,x1532)+E(f46(x1533,x1531,x1534),f46(x1533,x1532,x1534))
% 2.56/2.92 [154]~E(x1541,x1542)+E(f46(x1543,x1544,x1541),f46(x1543,x1544,x1542))
% 2.56/2.92 [155]~E(x1551,x1552)+E(f65(x1551,x1553,x1554,x1555,x1556,x1557),f65(x1552,x1553,x1554,x1555,x1556,x1557))
% 2.56/2.92 [156]~E(x1561,x1562)+E(f65(x1563,x1561,x1564,x1565,x1566,x1567),f65(x1563,x1562,x1564,x1565,x1566,x1567))
% 2.56/2.92 [157]~E(x1571,x1572)+E(f65(x1573,x1574,x1571,x1575,x1576,x1577),f65(x1573,x1574,x1572,x1575,x1576,x1577))
% 2.56/2.92 [158]~E(x1581,x1582)+E(f65(x1583,x1584,x1585,x1581,x1586,x1587),f65(x1583,x1584,x1585,x1582,x1586,x1587))
% 2.56/2.92 [159]~E(x1591,x1592)+E(f65(x1593,x1594,x1595,x1596,x1591,x1597),f65(x1593,x1594,x1595,x1596,x1592,x1597))
% 2.56/2.92 [160]~E(x1601,x1602)+E(f65(x1603,x1604,x1605,x1606,x1607,x1601),f65(x1603,x1604,x1605,x1606,x1607,x1602))
% 2.56/2.92 [161]~E(x1611,x1612)+E(f43(x1611,x1613,x1614),f43(x1612,x1613,x1614))
% 2.56/2.92 [162]~E(x1621,x1622)+E(f43(x1623,x1621,x1624),f43(x1623,x1622,x1624))
% 2.56/2.92 [163]~E(x1631,x1632)+E(f43(x1633,x1634,x1631),f43(x1633,x1634,x1632))
% 2.56/2.92 [164]~E(x1641,x1642)+E(f23(x1641,x1643,x1644),f23(x1642,x1643,x1644))
% 2.56/2.92 [165]~E(x1651,x1652)+E(f23(x1653,x1651,x1654),f23(x1653,x1652,x1654))
% 2.56/2.92 [166]~E(x1661,x1662)+E(f23(x1663,x1664,x1661),f23(x1663,x1664,x1662))
% 2.56/2.92 [167]~E(x1671,x1672)+E(f79(x1671,x1673,x1674,x1675),f79(x1672,x1673,x1674,x1675))
% 2.56/2.92 [168]~E(x1681,x1682)+E(f79(x1683,x1681,x1684,x1685),f79(x1683,x1682,x1684,x1685))
% 2.56/2.92 [169]~E(x1691,x1692)+E(f79(x1693,x1694,x1691,x1695),f79(x1693,x1694,x1692,x1695))
% 2.56/2.92 [170]~E(x1701,x1702)+E(f79(x1703,x1704,x1705,x1701),f79(x1703,x1704,x1705,x1702))
% 2.56/2.92 [171]~E(x1711,x1712)+E(f29(x1711,x1713,x1714,x1715),f29(x1712,x1713,x1714,x1715))
% 2.56/2.92 [172]~E(x1721,x1722)+E(f29(x1723,x1721,x1724,x1725),f29(x1723,x1722,x1724,x1725))
% 2.56/2.92 [173]~E(x1731,x1732)+E(f29(x1733,x1734,x1731,x1735),f29(x1733,x1734,x1732,x1735))
% 2.56/2.92 [174]~E(x1741,x1742)+E(f29(x1743,x1744,x1745,x1741),f29(x1743,x1744,x1745,x1742))
% 2.56/2.92 [175]~E(x1751,x1752)+E(f31(x1751,x1753,x1754,x1755),f31(x1752,x1753,x1754,x1755))
% 2.56/2.92 [176]~E(x1761,x1762)+E(f31(x1763,x1761,x1764,x1765),f31(x1763,x1762,x1764,x1765))
% 2.56/2.92 [177]~E(x1771,x1772)+E(f31(x1773,x1774,x1771,x1775),f31(x1773,x1774,x1772,x1775))
% 2.56/2.92 [178]~E(x1781,x1782)+E(f31(x1783,x1784,x1785,x1781),f31(x1783,x1784,x1785,x1782))
% 2.56/2.92 [179]~E(x1791,x1792)+E(f105(x1791,x1793),f105(x1792,x1793))
% 2.56/2.92 [180]~E(x1801,x1802)+E(f105(x1803,x1801),f105(x1803,x1802))
% 2.56/2.92 [181]~E(x1811,x1812)+E(f84(x1811,x1813,x1814),f84(x1812,x1813,x1814))
% 2.56/2.92 [182]~E(x1821,x1822)+E(f84(x1823,x1821,x1824),f84(x1823,x1822,x1824))
% 2.56/2.92 [183]~E(x1831,x1832)+E(f84(x1833,x1834,x1831),f84(x1833,x1834,x1832))
% 2.56/2.92 [184]~E(x1841,x1842)+E(f106(x1841,x1843,x1844),f106(x1842,x1843,x1844))
% 2.56/2.92 [185]~E(x1851,x1852)+E(f106(x1853,x1851,x1854),f106(x1853,x1852,x1854))
% 2.56/2.92 [186]~E(x1861,x1862)+E(f106(x1863,x1864,x1861),f106(x1863,x1864,x1862))
% 2.56/2.92 [187]~E(x1871,x1872)+E(f103(x1871,x1873),f103(x1872,x1873))
% 2.56/2.92 [188]~E(x1881,x1882)+E(f103(x1883,x1881),f103(x1883,x1882))
% 2.56/2.92 [189]~E(x1891,x1892)+E(f37(x1891,x1893,x1894,x1895),f37(x1892,x1893,x1894,x1895))
% 2.56/2.92 [190]~E(x1901,x1902)+E(f37(x1903,x1901,x1904,x1905),f37(x1903,x1902,x1904,x1905))
% 2.56/2.92 [191]~E(x1911,x1912)+E(f37(x1913,x1914,x1911,x1915),f37(x1913,x1914,x1912,x1915))
% 2.56/2.92 [192]~E(x1921,x1922)+E(f37(x1923,x1924,x1925,x1921),f37(x1923,x1924,x1925,x1922))
% 2.56/2.92 [193]~E(x1931,x1932)+E(f64(x1931,x1933,x1934),f64(x1932,x1933,x1934))
% 2.56/2.92 [194]~E(x1941,x1942)+E(f64(x1943,x1941,x1944),f64(x1943,x1942,x1944))
% 2.56/2.92 [195]~E(x1951,x1952)+E(f64(x1953,x1954,x1951),f64(x1953,x1954,x1952))
% 2.56/2.92 [196]~E(x1961,x1962)+E(f14(x1961,x1963),f14(x1962,x1963))
% 2.56/2.92 [197]~E(x1971,x1972)+E(f14(x1973,x1971),f14(x1973,x1972))
% 2.56/2.92 [198]~E(x1981,x1982)+E(f30(x1981,x1983,x1984,x1985),f30(x1982,x1983,x1984,x1985))
% 2.56/2.92 [199]~E(x1991,x1992)+E(f30(x1993,x1991,x1994,x1995),f30(x1993,x1992,x1994,x1995))
% 2.56/2.92 [200]~E(x2001,x2002)+E(f30(x2003,x2004,x2001,x2005),f30(x2003,x2004,x2002,x2005))
% 2.56/2.92 [201]~E(x2011,x2012)+E(f30(x2013,x2014,x2015,x2011),f30(x2013,x2014,x2015,x2012))
% 2.56/2.92 [202]~E(x2021,x2022)+E(f15(x2021,x2023,x2024,x2025),f15(x2022,x2023,x2024,x2025))
% 2.56/2.92 [203]~E(x2031,x2032)+E(f15(x2033,x2031,x2034,x2035),f15(x2033,x2032,x2034,x2035))
% 2.56/2.92 [204]~E(x2041,x2042)+E(f15(x2043,x2044,x2041,x2045),f15(x2043,x2044,x2042,x2045))
% 2.56/2.92 [205]~E(x2051,x2052)+E(f15(x2053,x2054,x2055,x2051),f15(x2053,x2054,x2055,x2052))
% 2.56/2.92 [206]~E(x2061,x2062)+E(f42(x2061,x2063,x2064),f42(x2062,x2063,x2064))
% 2.56/2.92 [207]~E(x2071,x2072)+E(f42(x2073,x2071,x2074),f42(x2073,x2072,x2074))
% 2.56/2.92 [208]~E(x2081,x2082)+E(f42(x2083,x2084,x2081),f42(x2083,x2084,x2082))
% 2.56/2.92 [209]~E(x2091,x2092)+E(f36(x2091,x2093,x2094,x2095),f36(x2092,x2093,x2094,x2095))
% 2.56/2.92 [210]~E(x2101,x2102)+E(f36(x2103,x2101,x2104,x2105),f36(x2103,x2102,x2104,x2105))
% 2.56/2.92 [211]~E(x2111,x2112)+E(f36(x2113,x2114,x2111,x2115),f36(x2113,x2114,x2112,x2115))
% 2.56/2.92 [212]~E(x2121,x2122)+E(f36(x2123,x2124,x2125,x2121),f36(x2123,x2124,x2125,x2122))
% 2.56/2.92 [213]~E(x2131,x2132)+E(f45(x2131,x2133,x2134),f45(x2132,x2133,x2134))
% 2.56/2.92 [214]~E(x2141,x2142)+E(f45(x2143,x2141,x2144),f45(x2143,x2142,x2144))
% 2.56/2.92 [215]~E(x2151,x2152)+E(f45(x2153,x2154,x2151),f45(x2153,x2154,x2152))
% 2.56/2.92 [216]~E(x2161,x2162)+E(f12(x2161,x2163),f12(x2162,x2163))
% 2.56/2.92 [217]~E(x2171,x2172)+E(f12(x2173,x2171),f12(x2173,x2172))
% 2.56/2.92 [218]~E(x2181,x2182)+E(f38(x2181,x2183,x2184,x2185),f38(x2182,x2183,x2184,x2185))
% 2.56/2.92 [219]~E(x2191,x2192)+E(f38(x2193,x2191,x2194,x2195),f38(x2193,x2192,x2194,x2195))
% 2.56/2.92 [220]~E(x2201,x2202)+E(f38(x2203,x2204,x2201,x2205),f38(x2203,x2204,x2202,x2205))
% 2.56/2.92 [221]~E(x2211,x2212)+E(f38(x2213,x2214,x2215,x2211),f38(x2213,x2214,x2215,x2212))
% 2.56/2.92 [222]~E(x2221,x2222)+E(f66(x2221,x2223),f66(x2222,x2223))
% 2.56/2.92 [223]~E(x2231,x2232)+E(f66(x2233,x2231),f66(x2233,x2232))
% 2.56/2.92 [224]~E(x2241,x2242)+E(f17(x2241,x2243,x2244,x2245),f17(x2242,x2243,x2244,x2245))
% 2.56/2.92 [225]~E(x2251,x2252)+E(f17(x2253,x2251,x2254,x2255),f17(x2253,x2252,x2254,x2255))
% 2.56/2.92 [226]~E(x2261,x2262)+E(f17(x2263,x2264,x2261,x2265),f17(x2263,x2264,x2262,x2265))
% 2.56/2.92 [227]~E(x2271,x2272)+E(f17(x2273,x2274,x2275,x2271),f17(x2273,x2274,x2275,x2272))
% 2.56/2.92 [228]~E(x2281,x2282)+E(f26(x2281,x2283,x2284,x2285,x2286),f26(x2282,x2283,x2284,x2285,x2286))
% 2.56/2.92 [229]~E(x2291,x2292)+E(f26(x2293,x2291,x2294,x2295,x2296),f26(x2293,x2292,x2294,x2295,x2296))
% 2.56/2.92 [230]~E(x2301,x2302)+E(f26(x2303,x2304,x2301,x2305,x2306),f26(x2303,x2304,x2302,x2305,x2306))
% 2.56/2.92 [231]~E(x2311,x2312)+E(f26(x2313,x2314,x2315,x2311,x2316),f26(x2313,x2314,x2315,x2312,x2316))
% 2.56/2.92 [232]~E(x2321,x2322)+E(f26(x2323,x2324,x2325,x2326,x2321),f26(x2323,x2324,x2325,x2326,x2322))
% 2.56/2.92 [233]~E(x2331,x2332)+E(f18(x2331,x2333,x2334,x2335),f18(x2332,x2333,x2334,x2335))
% 2.56/2.92 [234]~E(x2341,x2342)+E(f18(x2343,x2341,x2344,x2345),f18(x2343,x2342,x2344,x2345))
% 2.56/2.92 [235]~E(x2351,x2352)+E(f18(x2353,x2354,x2351,x2355),f18(x2353,x2354,x2352,x2355))
% 2.56/2.92 [236]~E(x2361,x2362)+E(f18(x2363,x2364,x2365,x2361),f18(x2363,x2364,x2365,x2362))
% 2.56/2.92 [237]~E(x2371,x2372)+E(f47(x2371,x2373,x2374),f47(x2372,x2373,x2374))
% 2.56/2.92 [238]~E(x2381,x2382)+E(f47(x2383,x2381,x2384),f47(x2383,x2382,x2384))
% 2.56/2.92 [239]~E(x2391,x2392)+E(f47(x2393,x2394,x2391),f47(x2393,x2394,x2392))
% 2.56/2.92 [240]~E(x2401,x2402)+E(f25(x2401,x2403,x2404,x2405),f25(x2402,x2403,x2404,x2405))
% 2.56/2.92 [241]~E(x2411,x2412)+E(f25(x2413,x2411,x2414,x2415),f25(x2413,x2412,x2414,x2415))
% 2.56/2.92 [242]~E(x2421,x2422)+E(f25(x2423,x2424,x2421,x2425),f25(x2423,x2424,x2422,x2425))
% 2.56/2.92 [243]~E(x2431,x2432)+E(f25(x2433,x2434,x2435,x2431),f25(x2433,x2434,x2435,x2432))
% 2.56/2.92 [244]~E(x2441,x2442)+E(f21(x2441,x2443,x2444,x2445),f21(x2442,x2443,x2444,x2445))
% 2.56/2.92 [245]~E(x2451,x2452)+E(f21(x2453,x2451,x2454,x2455),f21(x2453,x2452,x2454,x2455))
% 2.56/2.92 [246]~E(x2461,x2462)+E(f21(x2463,x2464,x2461,x2465),f21(x2463,x2464,x2462,x2465))
% 2.56/2.92 [247]~E(x2471,x2472)+E(f21(x2473,x2474,x2475,x2471),f21(x2473,x2474,x2475,x2472))
% 2.56/2.92 [248]~E(x2481,x2482)+E(f27(x2481,x2483,x2484,x2485,x2486),f27(x2482,x2483,x2484,x2485,x2486))
% 2.56/2.92 [249]~E(x2491,x2492)+E(f27(x2493,x2491,x2494,x2495,x2496),f27(x2493,x2492,x2494,x2495,x2496))
% 2.56/2.92 [250]~E(x2501,x2502)+E(f27(x2503,x2504,x2501,x2505,x2506),f27(x2503,x2504,x2502,x2505,x2506))
% 2.56/2.92 [251]~E(x2511,x2512)+E(f27(x2513,x2514,x2515,x2511,x2516),f27(x2513,x2514,x2515,x2512,x2516))
% 2.56/2.92 [252]~E(x2521,x2522)+E(f27(x2523,x2524,x2525,x2526,x2521),f27(x2523,x2524,x2525,x2526,x2522))
% 2.56/2.92 [253]~E(x2531,x2532)+E(f19(x2531,x2533,x2534,x2535),f19(x2532,x2533,x2534,x2535))
% 2.56/2.92 [254]~E(x2541,x2542)+E(f19(x2543,x2541,x2544,x2545),f19(x2543,x2542,x2544,x2545))
% 2.56/2.92 [255]~E(x2551,x2552)+E(f19(x2553,x2554,x2551,x2555),f19(x2553,x2554,x2552,x2555))
% 2.56/2.92 [256]~E(x2561,x2562)+E(f19(x2563,x2564,x2565,x2561),f19(x2563,x2564,x2565,x2562))
% 2.56/2.92 [257]~E(x2571,x2572)+E(f20(x2571,x2573,x2574,x2575,x2576),f20(x2572,x2573,x2574,x2575,x2576))
% 2.56/2.92 [258]~E(x2581,x2582)+E(f20(x2583,x2581,x2584,x2585,x2586),f20(x2583,x2582,x2584,x2585,x2586))
% 2.56/2.92 [259]~E(x2591,x2592)+E(f20(x2593,x2594,x2591,x2595,x2596),f20(x2593,x2594,x2592,x2595,x2596))
% 2.56/2.92 [260]~E(x2601,x2602)+E(f20(x2603,x2604,x2605,x2601,x2606),f20(x2603,x2604,x2605,x2602,x2606))
% 2.56/2.92 [261]~E(x2611,x2612)+E(f20(x2613,x2614,x2615,x2616,x2611),f20(x2613,x2614,x2615,x2616,x2612))
% 2.56/2.92 [262]~E(x2621,x2622)+E(f28(x2621,x2623,x2624,x2625),f28(x2622,x2623,x2624,x2625))
% 2.56/2.92 [263]~E(x2631,x2632)+E(f28(x2633,x2631,x2634,x2635),f28(x2633,x2632,x2634,x2635))
% 2.56/2.92 [264]~E(x2641,x2642)+E(f28(x2643,x2644,x2641,x2645),f28(x2643,x2644,x2642,x2645))
% 2.56/2.92 [265]~E(x2651,x2652)+E(f28(x2653,x2654,x2655,x2651),f28(x2653,x2654,x2655,x2652))
% 2.56/2.92 [266]~P1(x2661)+P1(x2662)+~E(x2661,x2662)
% 2.56/2.92 [267]~P2(x2671)+P2(x2672)+~E(x2671,x2672)
% 2.56/2.92 [268]~P3(x2681)+P3(x2682)+~E(x2681,x2682)
% 2.56/2.92 [269]~P56(x2691)+P56(x2692)+~E(x2691,x2692)
% 2.56/2.92 [270]~P34(x2701)+P34(x2702)+~E(x2701,x2702)
% 2.56/2.92 [271]~P45(x2711)+P45(x2712)+~E(x2711,x2712)
% 2.56/2.92 [272]~P83(x2721)+P83(x2722)+~E(x2721,x2722)
% 2.56/2.92 [273]~P69(x2731)+P69(x2732)+~E(x2731,x2732)
% 2.56/2.92 [274]~P70(x2741)+P70(x2742)+~E(x2741,x2742)
% 2.56/2.92 [275]~P35(x2751)+P35(x2752)+~E(x2751,x2752)
% 2.56/2.92 [276]~P57(x2761)+P57(x2762)+~E(x2761,x2762)
% 2.56/2.92 [277]~P36(x2771)+P36(x2772)+~E(x2771,x2772)
% 2.56/2.92 [278]~P46(x2781)+P46(x2782)+~E(x2781,x2782)
% 2.56/2.92 [279]~P59(x2791)+P59(x2792)+~E(x2791,x2792)
% 2.56/2.92 [280]~P23(x2801)+P23(x2802)+~E(x2801,x2802)
% 2.56/2.92 [281]P20(x2812,x2813,x2814)+~E(x2811,x2812)+~P20(x2811,x2813,x2814)
% 2.56/2.92 [282]P20(x2823,x2822,x2824)+~E(x2821,x2822)+~P20(x2823,x2821,x2824)
% 2.56/2.92 [283]P20(x2833,x2834,x2832)+~E(x2831,x2832)+~P20(x2833,x2834,x2831)
% 2.56/2.92 [284]~P25(x2841)+P25(x2842)+~E(x2841,x2842)
% 2.56/2.92 [285]~P68(x2851)+P68(x2852)+~E(x2851,x2852)
% 2.56/2.92 [286]~P4(x2861)+P4(x2862)+~E(x2861,x2862)
% 2.56/2.92 [287]~P71(x2871)+P71(x2872)+~E(x2871,x2872)
% 2.56/2.92 [288]~P48(x2881)+P48(x2882)+~E(x2881,x2882)
% 2.56/2.92 [289]~P49(x2891)+P49(x2892)+~E(x2891,x2892)
% 2.56/2.92 [290]~P42(x2901)+P42(x2902)+~E(x2901,x2902)
% 2.56/2.92 [291]~P24(x2911)+P24(x2912)+~E(x2911,x2912)
% 2.56/2.92 [292]~P39(x2921)+P39(x2922)+~E(x2921,x2922)
% 2.56/2.92 [293]~P26(x2931)+P26(x2932)+~E(x2931,x2932)
% 2.56/2.92 [294]~P58(x2941)+P58(x2942)+~E(x2941,x2942)
% 2.56/2.92 [295]~P27(x2951)+P27(x2952)+~E(x2951,x2952)
% 2.56/2.92 [296]~P80(x2961)+P80(x2962)+~E(x2961,x2962)
% 2.56/2.92 [297]~P60(x2971)+P60(x2972)+~E(x2971,x2972)
% 2.56/2.92 [298]~P50(x2981)+P50(x2982)+~E(x2981,x2982)
% 2.56/2.92 [299]P8(x2992,x2993)+~E(x2991,x2992)+~P8(x2991,x2993)
% 2.56/2.92 [300]P8(x3003,x3002)+~E(x3001,x3002)+~P8(x3003,x3001)
% 2.56/2.92 [301]~P72(x3011)+P72(x3012)+~E(x3011,x3012)
% 2.56/2.92 [302]~P73(x3021)+P73(x3022)+~E(x3021,x3022)
% 2.56/2.92 [303]~P30(x3031)+P30(x3032)+~E(x3031,x3032)
% 2.56/2.92 [304]~P33(x3041)+P33(x3042)+~E(x3041,x3042)
% 2.56/2.92 [305]~P51(x3051)+P51(x3052)+~E(x3051,x3052)
% 2.56/2.92 [306]~P61(x3061)+P61(x3062)+~E(x3061,x3062)
% 2.56/2.92 [307]~P64(x3071)+P64(x3072)+~E(x3071,x3072)
% 2.56/2.92 [308]~P5(x3081)+P5(x3082)+~E(x3081,x3082)
% 2.56/2.92 [309]~P52(x3091)+P52(x3092)+~E(x3091,x3092)
% 2.56/2.92 [310]~P44(x3101)+P44(x3102)+~E(x3101,x3102)
% 2.56/2.92 [311]~P74(x3111)+P74(x3112)+~E(x3111,x3112)
% 2.56/2.92 [312]~P37(x3121)+P37(x3122)+~E(x3121,x3122)
% 2.56/2.92 [313]~P31(x3131)+P31(x3132)+~E(x3131,x3132)
% 2.56/2.92 [314]~P53(x3141)+P53(x3142)+~E(x3141,x3142)
% 2.56/2.92 [315]~P65(x3151)+P65(x3152)+~E(x3151,x3152)
% 2.56/2.92 [316]~P47(x3161)+P47(x3162)+~E(x3161,x3162)
% 2.56/2.92 [317]~P21(x3171)+P21(x3172)+~E(x3171,x3172)
% 2.56/2.92 [318]P19(x3182,x3183,x3184)+~E(x3181,x3182)+~P19(x3181,x3183,x3184)
% 2.56/2.92 [319]P19(x3193,x3192,x3194)+~E(x3191,x3192)+~P19(x3193,x3191,x3194)
% 2.56/2.92 [320]P19(x3203,x3204,x3202)+~E(x3201,x3202)+~P19(x3203,x3204,x3201)
% 2.56/2.92 [321]~P81(x3211)+P81(x3212)+~E(x3211,x3212)
% 2.56/2.92 [322]~P28(x3221)+P28(x3222)+~E(x3221,x3222)
% 2.56/2.92 [323]P6(x3232,x3233)+~E(x3231,x3232)+~P6(x3231,x3233)
% 2.56/2.92 [324]P6(x3243,x3242)+~E(x3241,x3242)+~P6(x3243,x3241)
% 2.56/2.92 [325]P7(x3252,x3253)+~E(x3251,x3252)+~P7(x3251,x3253)
% 2.56/2.92 [326]P7(x3263,x3262)+~E(x3261,x3262)+~P7(x3263,x3261)
% 2.56/2.92 [327]~P62(x3271)+P62(x3272)+~E(x3271,x3272)
% 2.56/2.92 [328]P16(x3282,x3283)+~E(x3281,x3282)+~P16(x3281,x3283)
% 2.56/2.92 [329]P16(x3293,x3292)+~E(x3291,x3292)+~P16(x3293,x3291)
% 2.56/2.92 [330]~P67(x3301)+P67(x3302)+~E(x3301,x3302)
% 2.56/2.92 [331]~P22(x3311)+P22(x3312)+~E(x3311,x3312)
% 2.56/2.92 [332]P14(x3322,x3323,x3324)+~E(x3321,x3322)+~P14(x3321,x3323,x3324)
% 2.56/2.92 [333]P14(x3333,x3332,x3334)+~E(x3331,x3332)+~P14(x3333,x3331,x3334)
% 2.56/2.92 [334]P14(x3343,x3344,x3342)+~E(x3341,x3342)+~P14(x3343,x3344,x3341)
% 2.56/2.92 [335]~P63(x3351)+P63(x3352)+~E(x3351,x3352)
% 2.56/2.92 [336]~P66(x3361)+P66(x3362)+~E(x3361,x3362)
% 2.56/2.92 [337]P13(x3372,x3373,x3374)+~E(x3371,x3372)+~P13(x3371,x3373,x3374)
% 2.56/2.92 [338]P13(x3383,x3382,x3384)+~E(x3381,x3382)+~P13(x3383,x3381,x3384)
% 2.56/2.92 [339]P13(x3393,x3394,x3392)+~E(x3391,x3392)+~P13(x3393,x3394,x3391)
% 2.56/2.92 [340]~P38(x3401)+P38(x3402)+~E(x3401,x3402)
% 2.56/2.92 [341]~P78(x3411)+P78(x3412)+~E(x3411,x3412)
% 2.56/2.92 [342]P18(x3422,x3423)+~E(x3421,x3422)+~P18(x3421,x3423)
% 2.56/2.92 [343]P18(x3433,x3432)+~E(x3431,x3432)+~P18(x3433,x3431)
% 2.56/2.92 [344]~P75(x3441)+P75(x3442)+~E(x3441,x3442)
% 2.56/2.92 [345]~P29(x3451)+P29(x3452)+~E(x3451,x3452)
% 2.56/2.92 [346]P9(x3462,x3463,x3464)+~E(x3461,x3462)+~P9(x3461,x3463,x3464)
% 2.56/2.92 [347]P9(x3473,x3472,x3474)+~E(x3471,x3472)+~P9(x3473,x3471,x3474)
% 2.56/2.92 [348]P9(x3483,x3484,x3482)+~E(x3481,x3482)+~P9(x3483,x3484,x3481)
% 2.56/2.92 [349]P17(x3492,x3493,x3494)+~E(x3491,x3492)+~P17(x3491,x3493,x3494)
% 2.56/2.92 [350]P17(x3503,x3502,x3504)+~E(x3501,x3502)+~P17(x3503,x3501,x3504)
% 2.56/2.92 [351]P17(x3513,x3514,x3512)+~E(x3511,x3512)+~P17(x3513,x3514,x3511)
% 2.56/2.92 [352]~P54(x3521)+P54(x3522)+~E(x3521,x3522)
% 2.56/2.92 [353]~P82(x3531)+P82(x3532)+~E(x3531,x3532)
% 2.56/2.92 [354]~P43(x3541)+P43(x3542)+~E(x3541,x3542)
% 2.56/2.92 [355]~P79(x3551)+P79(x3552)+~E(x3551,x3552)
% 2.56/2.92 [356]~P55(x3561)+P55(x3562)+~E(x3561,x3562)
% 2.56/2.92 [357]P15(x3572,x3573)+~E(x3571,x3572)+~P15(x3571,x3573)
% 2.56/2.92 [358]P15(x3583,x3582)+~E(x3581,x3582)+~P15(x3583,x3581)
% 2.56/2.92 [359]~P40(x3591)+P40(x3592)+~E(x3591,x3592)
% 2.56/2.92 [360]P11(x3602,x3603,x3604,x3605,x3606,x3607)+~E(x3601,x3602)+~P11(x3601,x3603,x3604,x3605,x3606,x3607)
% 2.56/2.92 [361]P11(x3613,x3612,x3614,x3615,x3616,x3617)+~E(x3611,x3612)+~P11(x3613,x3611,x3614,x3615,x3616,x3617)
% 2.56/2.92 [362]P11(x3623,x3624,x3622,x3625,x3626,x3627)+~E(x3621,x3622)+~P11(x3623,x3624,x3621,x3625,x3626,x3627)
% 2.56/2.92 [363]P11(x3633,x3634,x3635,x3632,x3636,x3637)+~E(x3631,x3632)+~P11(x3633,x3634,x3635,x3631,x3636,x3637)
% 2.56/2.92 [364]P11(x3643,x3644,x3645,x3646,x3642,x3647)+~E(x3641,x3642)+~P11(x3643,x3644,x3645,x3646,x3641,x3647)
% 2.56/2.92 [365]P11(x3653,x3654,x3655,x3656,x3657,x3652)+~E(x3651,x3652)+~P11(x3653,x3654,x3655,x3656,x3657,x3651)
% 2.56/2.92 [366]~P76(x3661)+P76(x3662)+~E(x3661,x3662)
% 2.56/2.92 [367]P10(x3672,x3673,x3674,x3675)+~E(x3671,x3672)+~P10(x3671,x3673,x3674,x3675)
% 2.56/2.92 [368]P10(x3683,x3682,x3684,x3685)+~E(x3681,x3682)+~P10(x3683,x3681,x3684,x3685)
% 2.56/2.92 [369]P10(x3693,x3694,x3692,x3695)+~E(x3691,x3692)+~P10(x3693,x3694,x3691,x3695)
% 2.56/2.92 [370]P10(x3703,x3704,x3705,x3702)+~E(x3701,x3702)+~P10(x3703,x3704,x3705,x3701)
% 2.56/2.92 [371]P12(x3712,x3713)+~E(x3711,x3712)+~P12(x3711,x3713)
% 2.56/2.92 [372]P12(x3723,x3722)+~E(x3721,x3722)+~P12(x3723,x3721)
% 2.56/2.92 [373]~P41(x3731)+P41(x3732)+~E(x3731,x3732)
% 2.56/2.92 [374]~P32(x3741)+P32(x3742)+~E(x3741,x3742)
% 2.56/2.92 [375]~P77(x3751)+P77(x3752)+~E(x3751,x3752)
% 2.56/2.92
% 2.56/2.92 %-------------------------------------------
% 2.56/2.92 cnf(1723,plain,
% 2.56/2.92 (P20(x17231,f78(x17232,x17231,x17233),f90(x17233,a2))),
% 2.56/2.92 inference(rename_variables,[],[474])).
% 2.56/2.92 cnf(1726,plain,
% 2.56/2.92 (P20(x17261,f78(x17262,x17261,x17263),f90(x17263,a2))),
% 2.56/2.92 inference(rename_variables,[],[474])).
% 2.56/2.92 cnf(1729,plain,
% 2.56/2.92 (P20(f61(x17291,x17292,f90(x17293,a2)),x17292,f90(x17293,a2))),
% 2.56/2.92 inference(rename_variables,[],[484])).
% 2.56/2.92 cnf(1732,plain,
% 2.56/2.92 (P20(f61(x17321,x17322,f90(x17323,a2)),x17322,f90(x17323,a2))),
% 2.56/2.92 inference(rename_variables,[],[484])).
% 2.56/2.92 cnf(1735,plain,
% 2.56/2.92 (P20(x17351,f78(x17352,x17351,x17353),f90(x17353,a2))),
% 2.56/2.92 inference(rename_variables,[],[474])).
% 2.56/2.92 cnf(1744,plain,
% 2.56/2.92 (P83(f85(f85(f86(x17441),x17442),f78(x17442,x17443,x17441)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(1747,plain,
% 2.56/2.92 (P83(f85(f85(f86(x17471),x17472),f78(x17472,x17473,x17471)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(1750,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x17501),x17502),f60(f90(x17501,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1753,plain,
% 2.56/2.92 (~P83(f85(f85(f50(a1),x17531),x17531))),
% 2.56/2.92 inference(rename_variables,[],[575])).
% 2.56/2.92 cnf(1756,plain,
% 2.56/2.92 (P83(f85(f78(x17561,x17562,x17563),x17561))),
% 2.56/2.92 inference(rename_variables,[],[491])).
% 2.56/2.92 cnf(1765,plain,
% 2.56/2.92 (~P83(f85(f85(f50(a1),x17651),x17651))),
% 2.56/2.92 inference(rename_variables,[],[575])).
% 2.56/2.92 cnf(1770,plain,
% 2.56/2.92 (P20(f61(x17701,x17702,f90(x17703,a2)),x17702,f90(x17703,a2))),
% 2.56/2.92 inference(rename_variables,[],[484])).
% 2.56/2.92 cnf(1776,plain,
% 2.56/2.92 (P20(x17761,f78(x17762,x17761,x17763),f90(x17763,a2))),
% 2.56/2.92 inference(rename_variables,[],[474])).
% 2.56/2.92 cnf(1781,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x17811),x17812),f60(f90(x17811,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1784,plain,
% 2.56/2.92 (P83(f85(f85(f86(x17841),x17842),f78(x17842,x17843,x17841)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(1787,plain,
% 2.56/2.92 (P20(x17871,f78(x17872,x17871,x17873),f90(x17873,a2))),
% 2.56/2.92 inference(rename_variables,[],[474])).
% 2.56/2.92 cnf(1790,plain,
% 2.56/2.92 (P83(f85(f85(f86(x17901),x17902),f68(f90(x17901,a2))))),
% 2.56/2.92 inference(rename_variables,[],[479])).
% 2.56/2.92 cnf(1793,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x17931),x17932),f60(f90(x17931,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1796,plain,
% 2.56/2.92 (P83(f85(f85(f86(x17961),x17962),f78(x17962,x17963,x17961)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(1799,plain,
% 2.56/2.92 (P20(x17991,f78(x17992,x17991,x17993),f90(x17993,a2))),
% 2.56/2.92 inference(rename_variables,[],[474])).
% 2.56/2.92 cnf(1810,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x18101),x18102),f60(f90(x18101,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1815,plain,
% 2.56/2.92 (P20(x18151,x18151,f90(x18152,a2))),
% 2.56/2.92 inference(rename_variables,[],[443])).
% 2.56/2.92 cnf(1818,plain,
% 2.56/2.92 (P83(f85(f85(f86(x18181),x18182),f78(x18182,x18183,x18181)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(1827,plain,
% 2.56/2.92 (P83(f85(f85(f86(x18271),x18272),f78(x18272,x18273,x18271)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(1830,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x18301),x18302),f60(f90(x18301,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1835,plain,
% 2.56/2.92 (P83(f85(f85(f86(x18351),x18352),f78(x18352,x18353,x18351)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(1838,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x18381),x18382),f60(f90(x18381,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1841,plain,
% 2.56/2.92 (~P83(f85(f85(f86(f91(a87,a87)),f69(x18411,x18412,a87,a87)),f85(f85(a9,x18413),x18412)))),
% 2.56/2.92 inference(rename_variables,[],[585])).
% 2.56/2.92 cnf(1846,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x18461),x18462),f60(f90(x18461,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1849,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x18491),x18492),f60(f90(x18491,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1852,plain,
% 2.56/2.92 (P83(f85(f85(f86(x18521),x18522),f78(x18522,x18523,x18521)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(1855,plain,
% 2.56/2.92 (P20(x18551,x18551,f90(x18552,a2))),
% 2.56/2.92 inference(rename_variables,[],[443])).
% 2.56/2.92 cnf(1858,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x18581),x18582),f60(f90(x18581,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1861,plain,
% 2.56/2.92 (~P83(f85(f85(f86(f91(a87,a87)),f69(x18611,x18612,a87,a87)),f85(f85(a8,x18613),x18611)))),
% 2.56/2.92 inference(rename_variables,[],[584])).
% 2.56/2.92 cnf(1868,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x18681),x18682),f60(f90(x18681,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1871,plain,
% 2.56/2.92 (P83(f85(f85(f86(x18711),x18712),f78(x18712,x18713,x18711)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(1874,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x18741),x18742),f60(f90(x18741,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1877,plain,
% 2.56/2.92 (~P83(f85(f85(f86(f91(a87,a87)),f69(x18771,x18772,a87,a87)),f85(f85(a9,x18773),x18772)))),
% 2.56/2.92 inference(rename_variables,[],[585])).
% 2.56/2.92 cnf(1880,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x18801),x18802),f60(f90(x18801,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1886,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x18861),x18862),f60(f90(x18861,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1889,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x18891),x18892),f60(f90(x18891,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1899,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x18991),x18992),f60(f90(x18991,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1902,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x19021),x19022),f60(f90(x19021,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(1922,plain,
% 2.56/2.92 (P20(x19221,x19221,a1)),
% 2.56/2.92 inference(rename_variables,[],[434])).
% 2.56/2.92 cnf(1923,plain,
% 2.56/2.92 (E(f67(f73(x19231,x19232),x19232,x19232),x19231)),
% 2.56/2.92 inference(rename_variables,[],[448])).
% 2.56/2.92 cnf(1925,plain,
% 2.56/2.92 (P20(x19251,x19251,a1)),
% 2.56/2.92 inference(rename_variables,[],[434])).
% 2.56/2.92 cnf(1931,plain,
% 2.56/2.92 (P20(x19311,f78(x19312,x19311,x19313),f90(x19313,a2))),
% 2.56/2.92 inference(rename_variables,[],[474])).
% 2.56/2.92 cnf(1935,plain,
% 2.56/2.92 (P20(f61(x19351,x19352,f90(x19353,a2)),x19352,f90(x19353,a2))),
% 2.56/2.92 inference(rename_variables,[],[484])).
% 2.56/2.92 cnf(1936,plain,
% 2.56/2.92 (P8(f60(f90(x19361,a2)),x19361)),
% 2.56/2.92 inference(rename_variables,[],[440])).
% 2.56/2.92 cnf(1939,plain,
% 2.56/2.92 (P20(x19391,x19391,a1)),
% 2.56/2.92 inference(rename_variables,[],[434])).
% 2.56/2.92 cnf(1942,plain,
% 2.56/2.92 (P20(x19421,x19421,a1)),
% 2.56/2.92 inference(rename_variables,[],[434])).
% 2.56/2.92 cnf(1945,plain,
% 2.56/2.92 (P20(x19451,x19451,a1)),
% 2.56/2.92 inference(rename_variables,[],[434])).
% 2.56/2.92 cnf(1948,plain,
% 2.56/2.92 (P20(x19481,x19481,a1)),
% 2.56/2.92 inference(rename_variables,[],[434])).
% 2.56/2.92 cnf(1951,plain,
% 2.56/2.92 (P20(f61(x19511,x19512,f90(x19513,a2)),x19512,f90(x19513,a2))),
% 2.56/2.92 inference(rename_variables,[],[484])).
% 2.56/2.92 cnf(1955,plain,
% 2.56/2.92 (P20(f61(x19551,x19552,f90(x19553,a2)),x19552,f90(x19553,a2))),
% 2.56/2.92 inference(rename_variables,[],[484])).
% 2.56/2.92 cnf(1959,plain,
% 2.56/2.92 (P20(x19591,f78(x19592,x19591,x19593),f90(x19593,a2))),
% 2.56/2.92 inference(rename_variables,[],[474])).
% 2.56/2.92 cnf(1962,plain,
% 2.56/2.92 (P20(x19621,f78(x19622,x19621,x19623),f90(x19623,a2))),
% 2.56/2.92 inference(rename_variables,[],[474])).
% 2.56/2.92 cnf(1965,plain,
% 2.56/2.92 (P20(f4(a1),x19651,a1)),
% 2.56/2.92 inference(rename_variables,[],[436])).
% 2.56/2.92 cnf(1973,plain,
% 2.56/2.92 (~P83(f85(f85(f50(a1),x19731),x19731))),
% 2.56/2.92 inference(rename_variables,[],[575])).
% 2.56/2.92 cnf(1976,plain,
% 2.56/2.92 (~E(f78(x19761,x19762,x19763),f60(f90(x19763,a2)))),
% 2.56/2.92 inference(rename_variables,[],[572])).
% 2.56/2.92 cnf(1981,plain,
% 2.56/2.92 (~P83(f85(f85(f50(a1),x19811),f4(a1)))),
% 2.56/2.92 inference(rename_variables,[],[577])).
% 2.56/2.92 cnf(1984,plain,
% 2.56/2.92 (~E(f78(x19841,x19842,x19843),f60(f90(x19843,a2)))),
% 2.56/2.92 inference(rename_variables,[],[572])).
% 2.56/2.92 cnf(1985,plain,
% 2.56/2.92 (P16(f74(x19851,x19852),x19852)),
% 2.56/2.92 inference(rename_variables,[],[431])).
% 2.56/2.92 cnf(1988,plain,
% 2.56/2.92 (~P83(f85(f85(f50(a1),x19881),x19881))),
% 2.56/2.92 inference(rename_variables,[],[575])).
% 2.56/2.92 cnf(1991,plain,
% 2.56/2.92 (~P83(f85(f85(f50(a1),x19911),x19911))),
% 2.56/2.92 inference(rename_variables,[],[575])).
% 2.56/2.92 cnf(1994,plain,
% 2.56/2.92 (P83(f85(f85(f86(x19941),x19942),f68(f90(x19941,a2))))),
% 2.56/2.92 inference(rename_variables,[],[479])).
% 2.56/2.92 cnf(1999,plain,
% 2.56/2.92 (P83(f85(f85(f86(x19991),x19992),f78(x19992,x19993,x19991)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(2000,plain,
% 2.56/2.92 (P20(x20001,x20001,f90(x20002,a2))),
% 2.56/2.92 inference(rename_variables,[],[443])).
% 2.56/2.92 cnf(2003,plain,
% 2.56/2.92 (P83(f85(f85(f86(x20031),x20032),f78(x20032,x20033,x20031)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(2006,plain,
% 2.56/2.92 (P83(f85(f85(f86(x20061),x20062),f78(x20062,x20063,x20061)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(2009,plain,
% 2.56/2.92 (P83(f85(f85(f86(x20091),x20092),f78(x20092,x20093,x20091)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(2012,plain,
% 2.56/2.92 (P83(f85(f85(f86(x20121),x20122),f78(x20122,x20123,x20121)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(2015,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x20151),x20152),f60(f90(x20151,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(2018,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x20181),x20182),f60(f90(x20181,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(2023,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x20231),x20232),f60(f90(x20231,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(2026,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x20261),x20262),f60(f90(x20261,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(2029,plain,
% 2.56/2.92 (P20(x20291,x20291,f90(x20292,a2))),
% 2.56/2.92 inference(rename_variables,[],[443])).
% 2.56/2.92 cnf(2032,plain,
% 2.56/2.92 (P83(f85(f85(f86(x20321),x20322),f78(x20322,x20323,x20321)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(2037,plain,
% 2.56/2.92 (P83(f85(f85(f86(x20371),x20372),f68(f90(x20371,a2))))),
% 2.56/2.92 inference(rename_variables,[],[479])).
% 2.56/2.92 cnf(2047,plain,
% 2.56/2.92 (P83(f85(f85(f86(x20471),x20472),f68(f90(x20471,a2))))),
% 2.56/2.92 inference(rename_variables,[],[479])).
% 2.56/2.92 cnf(2050,plain,
% 2.56/2.92 (P83(f85(f85(f86(x20501),x20502),f78(x20502,x20503,x20501)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(2051,plain,
% 2.56/2.92 (P20(x20511,x20511,a1)),
% 2.56/2.92 inference(rename_variables,[],[434])).
% 2.56/2.92 cnf(2055,plain,
% 2.56/2.92 (P83(f85(f85(f86(x20551),x20552),f78(x20552,x20553,x20551)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(2058,plain,
% 2.56/2.92 (P83(f85(f85(f86(x20581),x20582),f68(f90(x20581,a2))))),
% 2.56/2.92 inference(rename_variables,[],[479])).
% 2.56/2.92 cnf(2059,plain,
% 2.56/2.92 (P83(f85(f85(f86(f91(x20591,x20591)),f69(x20592,x20592,x20591,x20591)),f75(x20593,x20591)))),
% 2.56/2.92 inference(rename_variables,[],[550])).
% 2.56/2.92 cnf(2063,plain,
% 2.56/2.92 (P83(f85(f85(f86(f91(x20631,x20631)),f69(x20632,x20632,x20631,x20631)),f75(x20633,x20631)))),
% 2.56/2.92 inference(rename_variables,[],[550])).
% 2.56/2.92 cnf(2066,plain,
% 2.56/2.92 (P83(f85(f85(f86(x20661),x20662),f68(f90(x20661,a2))))),
% 2.56/2.92 inference(rename_variables,[],[479])).
% 2.56/2.92 cnf(2067,plain,
% 2.56/2.92 (P83(f85(f85(f86(x20671),x20672),f68(f90(x20671,a2))))),
% 2.56/2.92 inference(rename_variables,[],[479])).
% 2.56/2.92 cnf(2070,plain,
% 2.56/2.92 (P83(f85(f85(f86(x20701),x20702),f68(f90(x20701,a2))))),
% 2.56/2.92 inference(rename_variables,[],[479])).
% 2.56/2.92 cnf(2071,plain,
% 2.56/2.92 (P83(f85(f85(f86(f91(x20711,x20711)),f69(x20712,x20712,x20711,x20711)),f75(x20713,x20711)))),
% 2.56/2.92 inference(rename_variables,[],[550])).
% 2.56/2.92 cnf(2076,plain,
% 2.56/2.92 (P20(f4(a1),x20761,a1)),
% 2.56/2.92 inference(rename_variables,[],[436])).
% 2.56/2.92 cnf(2079,plain,
% 2.56/2.92 (~P83(f85(f85(f50(a1),x20791),f4(a1)))),
% 2.56/2.92 inference(rename_variables,[],[577])).
% 2.56/2.92 cnf(2082,plain,
% 2.56/2.92 (P20(f4(a1),x20821,a1)),
% 2.56/2.92 inference(rename_variables,[],[436])).
% 2.56/2.92 cnf(2085,plain,
% 2.56/2.92 (P20(f4(a1),x20851,a1)),
% 2.56/2.92 inference(rename_variables,[],[436])).
% 2.56/2.92 cnf(2088,plain,
% 2.56/2.92 (P83(f85(f85(f86(x20881),x20882),f78(x20882,x20883,x20881)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(2091,plain,
% 2.56/2.92 (P83(f85(f85(f86(x20911),x20912),f78(x20912,x20913,x20911)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(2094,plain,
% 2.56/2.92 (~P83(f85(f85(f50(a1),x20941),x20941))),
% 2.56/2.92 inference(rename_variables,[],[575])).
% 2.56/2.92 cnf(2097,plain,
% 2.56/2.92 (~P83(f85(f85(f50(a1),x20971),f4(a1)))),
% 2.56/2.92 inference(rename_variables,[],[577])).
% 2.56/2.92 cnf(2100,plain,
% 2.56/2.92 (P83(f85(f85(f86(f91(x21001,x21001)),f69(x21002,x21002,x21001,x21001)),f3(x21001)))),
% 2.56/2.92 inference(rename_variables,[],[548])).
% 2.56/2.92 cnf(2102,plain,
% 2.56/2.92 (~P83(f85(f60(f90(x21021,a2)),x21022))),
% 2.56/2.92 inference(rename_variables,[],[579])).
% 2.56/2.92 cnf(2105,plain,
% 2.56/2.92 (P83(f85(f85(f86(f91(x21051,x21051)),f69(x21052,x21052,x21051,x21051)),f3(x21051)))),
% 2.56/2.92 inference(rename_variables,[],[548])).
% 2.56/2.92 cnf(2107,plain,
% 2.56/2.92 (~P83(f85(f60(f90(x21071,a2)),x21072))),
% 2.56/2.92 inference(rename_variables,[],[579])).
% 2.56/2.92 cnf(2110,plain,
% 2.56/2.92 (P83(f85(f85(f86(f91(x21101,x21101)),f69(x21102,x21102,x21101,x21101)),f3(x21101)))),
% 2.56/2.92 inference(rename_variables,[],[548])).
% 2.56/2.92 cnf(2113,plain,
% 2.56/2.92 (P83(f85(f85(f86(f91(x21131,x21131)),f69(x21132,x21132,x21131,x21131)),f3(x21131)))),
% 2.56/2.92 inference(rename_variables,[],[548])).
% 2.56/2.92 cnf(2115,plain,
% 2.56/2.92 (~P83(f85(f60(f90(x21151,a2)),x21152))),
% 2.56/2.92 inference(rename_variables,[],[579])).
% 2.56/2.92 cnf(2120,plain,
% 2.56/2.92 (~P83(f85(f60(f90(x21201,a2)),x21202))),
% 2.56/2.92 inference(rename_variables,[],[579])).
% 2.56/2.92 cnf(2127,plain,
% 2.56/2.92 (P83(f85(f85(f86(f91(x21271,x21271)),f69(x21272,x21272,x21271,x21271)),f3(x21271)))),
% 2.56/2.92 inference(rename_variables,[],[548])).
% 2.56/2.92 cnf(2129,plain,
% 2.56/2.92 (~P83(f85(f60(f90(x21291,a2)),x21292))),
% 2.56/2.92 inference(rename_variables,[],[579])).
% 2.56/2.92 cnf(2132,plain,
% 2.56/2.92 (P83(f85(f85(f86(f91(x21321,x21321)),f69(x21322,x21322,x21321,x21321)),f3(x21321)))),
% 2.56/2.92 inference(rename_variables,[],[548])).
% 2.56/2.92 cnf(2137,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x21371),x21372),f60(f90(x21371,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(2140,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x21401),x21402),f60(f90(x21401,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(2143,plain,
% 2.56/2.92 (P83(f85(f85(f86(x21431),x21432),f68(f90(x21431,a2))))),
% 2.56/2.92 inference(rename_variables,[],[479])).
% 2.56/2.92 cnf(2144,plain,
% 2.56/2.92 (P83(f85(f85(f86(x21441),x21442),f68(f90(x21441,a2))))),
% 2.56/2.92 inference(rename_variables,[],[479])).
% 2.56/2.92 cnf(2147,plain,
% 2.56/2.92 (P20(x21471,x21471,a1)),
% 2.56/2.92 inference(rename_variables,[],[434])).
% 2.56/2.92 cnf(2150,plain,
% 2.56/2.92 (~P83(f85(f85(f50(a1),x21501),x21501))),
% 2.56/2.92 inference(rename_variables,[],[575])).
% 2.56/2.92 cnf(2157,plain,
% 2.56/2.92 (P83(f85(f85(f86(x21571),x21572),f78(x21572,x21573,x21571)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(2160,plain,
% 2.56/2.92 (P83(f85(f85(f86(x21601),x21602),f78(x21602,x21603,x21601)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(2163,plain,
% 2.56/2.92 (P83(f85(f85(f86(x21631),x21632),f78(x21632,x21633,x21631)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(2166,plain,
% 2.56/2.92 (P83(f85(f85(f86(x21661),x21662),f78(x21662,x21663,x21661)))),
% 2.56/2.92 inference(rename_variables,[],[498])).
% 2.56/2.92 cnf(2169,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x21691),x21692),f60(f90(x21691,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(2174,plain,
% 2.56/2.92 (~P83(f85(f85(f86(x21741),x21742),f60(f90(x21741,a2))))),
% 2.56/2.92 inference(rename_variables,[],[582])).
% 2.56/2.92 cnf(2175,plain,
% 2.56/2.92 (P20(x21751,x21751,f90(x21752,a2))),
% 2.56/2.92 inference(rename_variables,[],[443])).
% 2.56/2.92 cnf(2185,plain,
% 2.56/2.92 (P20(x21851,x21851,a1)),
% 2.56/2.92 inference(rename_variables,[],[434])).
% 2.56/2.92 cnf(2191,plain,
% 2.56/2.92 (P20(x21911,x21911,a1)),
% 2.56/2.92 inference(rename_variables,[],[434])).
% 2.56/2.92 cnf(2194,plain,
% 2.56/2.92 (~P83(f85(f85(f50(a1),x21941),x21941))),
% 2.56/2.92 inference(rename_variables,[],[575])).
% 2.56/2.92 cnf(2198,plain,
% 2.56/2.92 (P20(x21981,x21981,a1)),
% 2.56/2.92 inference(rename_variables,[],[434])).
% 2.56/2.92 cnf(2213,plain,
% 2.56/2.92 ($false),
% 2.56/2.92 inference(scs_inference,[],[588,434,1922,1925,1939,1942,1945,1948,2051,2147,2185,2191,2198,376,377,379,380,386,387,389,393,396,397,402,404,405,407,415,416,417,436,1965,2076,2082,2085,438,446,447,443,1815,1855,2000,2029,2175,428,429,430,431,1985,432,474,1723,1726,1735,1776,1787,1799,1931,1959,1962,452,448,1923,532,440,1936,491,1756,484,1729,1732,1770,1935,1951,1955,455,456,572,1976,1984,575,1753,1765,1973,1988,1991,2094,2150,2194,579,2102,2107,2115,2120,2129,459,498,1744,1747,1784,1796,1818,1827,1835,1852,1871,1999,2003,2006,2009,2012,2032,2050,2055,2088,2091,2157,2160,2163,2166,577,1981,2079,2097,479,1790,1994,2037,2047,2058,2067,2070,2144,2066,2143,582,1750,1781,1793,1810,1830,1838,1846,1849,1858,1868,1874,1880,1886,1889,1899,1902,2015,2018,2023,2026,2137,2140,2169,2174,548,2100,2105,2110,2113,2127,2132,550,2059,2063,2071,475,584,1861,585,1841,1877,583,546,2,591,885,1147,1146,1145,1144,1054,962,823,761,1531,1530,1497,1469,1412,1103,1097,871,1546,1196,1127,1067,1004,1587,1482,1456,1075,1562,1514,1345,1198,1060,1059,1591,1536,1405,1332,1123,1545,1506,1232,1231,1611,1651,1650,1601,1525,1524,1381,1652,1630,1629,1547,1621,1620,1597,1596,1614,1613,1685,1684,1628,1627,1709,1671,1670,1673,1672,1711,1710,372,371,358,357,351,339,338,337,334,332,329,328,326,325,324,323,300,282,281,272,3,905,764,986,984,982,980,1023,898,897,896,799,781,825,1148,687,1263,815,1371,1289,1288,1101,1618,1180,1540,1539,1538,1537,1498,1493,1202,1509,1522,1451,995,1494,1575,1188,1667,1622,1615,1660,1635,1634,1661,1662,1675,805,842,836,916,1323,1490,1058,869,1557,1556,1561,1581,1580,1579,1578,1586,1585,1394,1251,1625,1448,1286,1624,1701,1693,1707,1697,1696,1589,1599,1418,1191,1226,1507,1417,1250,1244,738,719,623,622,596,694,1715,1712]),
% 2.56/2.92 ['proof']).
% 2.56/2.93 % SZS output end Proof
% 2.56/2.93 % Total time :1.640000s
%------------------------------------------------------------------------------