TSTP Solution File: SCT085-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SCT085-1 : 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 : n005.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 14:10:05 EDT 2023
% Result : Unsatisfiable 4.30s 4.43s
% Output : CNFRefutation 4.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SCT085-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 15:23:53 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 4.30/4.39 %-------------------------------------------
% 4.30/4.39 % File :CSE---1.6
% 4.30/4.39 % Problem :theBenchmark
% 4.30/4.39 % Transform :cnf
% 4.30/4.39 % Format :tptp:raw
% 4.30/4.39 % Command :java -jar mcs_scs.jar %d %s
% 4.30/4.39
% 4.30/4.39 % Result :Theorem 3.580000s
% 4.30/4.39 % Output :CNFRefutation 3.580000s
% 4.30/4.39 %-------------------------------------------
% 4.30/4.39 %------------------------------------------------------------------------------
% 4.30/4.39 % File : SCT085-1 : TPTP v8.1.2. Released v4.1.0.
% 4.30/4.39 % Domain : Social Choice Theory
% 4.30/4.39 % Problem : Arrow Order 278_1
% 4.30/4.39 % Version : Especial.
% 4.30/4.39 % English : Formalization of two proofs of Arrow's impossibility theorem. One
% 4.30/4.39 % formalization is based on utility functions, the other one on
% 4.30/4.39 % strict partial orders.
% 4.30/4.39
% 4.30/4.39 % Refs : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and
% 4.30/4.39 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 4.30/4.39 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 4.30/4.39 % Source : [Nip10]
% 4.30/4.39 % Names : Arrow_Order-278_18 [Nip10]
% 4.30/4.39
% 4.30/4.39 % Status : Unsatisfiable
% 4.30/4.39 % Rating : 0.38 v8.1.0, 0.37 v7.5.0, 0.32 v7.4.0, 0.35 v7.3.0, 0.25 v7.0.0, 0.40 v6.3.0, 0.36 v6.2.0, 0.60 v6.1.0, 0.64 v6.0.0, 0.80 v5.5.0, 0.90 v5.3.0, 0.94 v5.2.0, 0.88 v5.0.0, 0.86 v4.1.0
% 4.30/4.39 % Syntax : Number of clauses : 564 ( 94 unt; 96 nHn; 368 RR)
% 4.30/4.39 % Number of literals : 1571 ( 259 equ; 932 neg)
% 4.30/4.39 % Maximal clause size : 6 ( 2 avg)
% 4.30/4.39 % Maximal term depth : 13 ( 2 avg)
% 4.30/4.39 % Number of predicates : 46 ( 45 usr; 0 prp; 1-4 aty)
% 4.30/4.39 % Number of functors : 47 ( 47 usr; 14 con; 0-6 aty)
% 4.30/4.39 % Number of variables : 1662 ( 215 sgn)
% 4.30/4.39 % SPC : CNF_UNS_RFO_SEQ_NHN
% 4.30/4.39
% 4.30/4.39 % Comments :
% 4.30/4.39 %------------------------------------------------------------------------------
% 4.30/4.39 cnf(cls_card__gt__0__iff_0,axiom,
% 4.30/4.39 ~ 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))) ).
% 4.30/4.39
% 4.30/4.39 cnf(cls_le__eq__neg_1,axiom,
% 4.30/4.39 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.39 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)))
% 4.30/4.39 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.39
% 4.30/4.39 cnf(cls_le__eq__neg_0,axiom,
% 4.30/4.39 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.39 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.39 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a))) ) ).
% 4.30/4.39
% 4.30/4.39 cnf(cls_UNIV__not__empty_0,axiom,
% 4.30/4.39 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.30/4.39
% 4.30/4.39 cnf(cls_add__cancel__end_0,axiom,
% 4.30/4.39 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 4.30/4.39 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 4.30/4.39 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 4.30/4.39
% 4.30/4.39 cnf(cls_minus__add__cancel_0,axiom,
% 4.30/4.39 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.39 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = V_b ) ).
% 4.30/4.39
% 4.30/4.39 cnf(cls_add__cancel__end_1,axiom,
% 4.30/4.39 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 4.30/4.39 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = V_y ) ).
% 4.30/4.39
% 4.30/4.39 cnf(cls_add__minus__cancel_0,axiom,
% 4.30/4.39 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.39 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a) = V_b ) ).
% 4.30/4.39
% 4.30/4.39 cnf(cls_minus__add__distrib_0,axiom,
% 4.30/4.39 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 4.30/4.39 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 4.30/4.39
% 4.30/4.39 cnf(cls_minus__add_0,axiom,
% 4.30/4.39 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.39 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 4.30/4.39
% 4.30/4.39 cnf(cls_minus__less__iff_1,axiom,
% 4.30/4.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.39 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b))
% 4.30/4.39 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a)) ) ).
% 4.30/4.39
% 4.30/4.39 cnf(cls_minus__less__iff_0,axiom,
% 4.30/4.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.39 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a))
% 4.30/4.39 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b)) ) ).
% 4.30/4.39
% 4.30/4.39 cnf(cls_less__minus__iff_1,axiom,
% 4.30/4.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.39 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)))
% 4.30/4.39 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 4.30/4.39
% 4.30/4.39 cnf(cls_less__minus__iff_0,axiom,
% 4.30/4.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.39 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 4.30/4.39 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a))) ) ).
% 4.30/4.39
% 4.30/4.39 cnf(cls_neg__less__iff__less_1,axiom,
% 4.30/4.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.39 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__less__iff__less_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_minus__le__iff_1,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a)) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_minus__le__iff_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b)) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_le__minus__iff_1,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_le__minus__iff_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__le__iff__le_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_le__imp__neg__le_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_bot__least_0,axiom,
% 4.30/4.40 ( ~ class_Orderings_Obot(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_bex__empty_0,axiom,
% 4.30/4.40 ( ~ hBOOL(hAPP(V_P,V_x))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_ComplD_0,axiom,
% 4.30/4.40 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_ComplI_0,axiom,
% 4.30/4.40 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))))
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_emptyE_0,axiom,
% 4.30/4.40 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_empty__iff_0,axiom,
% 4.30/4.40 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_ball__empty_0,axiom,
% 4.30/4.40 ( hBOOL(hAPP(V_P,V_x))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_ex__in__conv_0,axiom,
% 4.30/4.40 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_minus__equation__iff_1,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.40 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_equation__minus__iff_1,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.40 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_equation__minus__iff_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.40 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_double__compl_0,axiom,
% 4.30/4.40 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 4.30/4.40 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_minus__minus_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.40 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_double__complement_0,axiom,
% 4.30/4.40 c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_minus__divide__left_0,axiom,
% 4.30/4.40 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.40 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_minus__divide__right_0,axiom,
% 4.30/4.40 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.40 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.40 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__equal__zero_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 4.30/4.40 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 4.30/4.40 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_card__empty_0,axiom,
% 4.30/4.40 c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_nonzero__minus__divide__divide_0,axiom,
% 4.30/4.40 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.40 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)
% 4.30/4.40 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_vimage__Compl_0,axiom,
% 4.30/4.40 c_Set_Ovimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(V_f,V_A,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.40 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_ab__left__minus_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 4.30/4.40 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_right__minus_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.40 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_left__minus_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.40 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_minus__divide__divide_0,axiom,
% 4.30/4.40 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.40 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.40 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_inj__on__empty_0,axiom,
% 4.30/4.40 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__0__le__iff__le_1,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__0__le__iff__le_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.40 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 4.30/4.40 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__less__0__iff__less_1,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__less__0__iff__less_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_nonzero__minus__divide__right_0,axiom,
% 4.30/4.40 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.40 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 4.30/4.40 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_bot__fun__eq_0,axiom,
% 4.30/4.40 ( ~ class_Orderings_Obot(T_b)
% 4.30/4.40 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_a))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__less__eq__nonneg_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_a)) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_less__eq__neg__nonpos_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_minus__le__self__iff_1,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_a))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_minus__le__self__iff_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_a)) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_le__minus__self__iff_1,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_le__minus__self__iff_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_Image__empty_0,axiom,
% 4.30/4.40 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)) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.40 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 4.30/4.40 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_minus__unique_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.40 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 4.30/4.40 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.40 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 4.30/4.40 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_compl__top__eq_0,axiom,
% 4.30/4.40 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 4.30/4.40 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_Compl__UNIV__eq_0,axiom,
% 4.30/4.40 c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_bot1E_0,axiom,
% 4.30/4.40 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_compl__eq__compl__iff_0,axiom,
% 4.30/4.40 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 4.30/4.40 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 4.30/4.40 | V_x = V_y ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__equal__iff__equal_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.40 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 4.30/4.40 | V_a = V_b ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 4.30/4.40 ( c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) != c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))
% 4.30/4.40 | V_A = V_B ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.40 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__le__0__iff__le_1,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__le__0__iff__le_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_total__on__empty_0,axiom,
% 4.30/4.40 c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_fun__Compl__def_0,axiom,
% 4.30/4.40 ( ~ class_HOL_Ouminus(T_b)
% 4.30/4.40 | hAPP(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(t_a,T_b)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(V_A,v_x),T_b) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__equal__zero_1,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 4.30/4.40 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_minus__zero_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.30/4.40 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_compl__bot__eq_0,axiom,
% 4.30/4.40 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 4.30/4.40 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_Compl__empty__eq_0,axiom,
% 4.30/4.40 c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__0__less__iff__less_1,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_neg__0__less__iff__less_0,axiom,
% 4.30/4.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_vimage__empty_0,axiom,
% 4.30/4.40 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)) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_less__minus__self__iff_0,axiom,
% 4.30/4.40 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_less__minus__self__iff_1,axiom,
% 4.30/4.40 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 4.30/4.40 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 4.30/4.40 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_bot__empty__eq_0,axiom,
% 4.30/4.40 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))) ).
% 4.30/4.40
% 4.30/4.40 cnf(cls_zero__less__power_0,axiom,
% 4.30/4.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.41 | 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)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_fun__upd__twist_0,axiom,
% 4.30/4.41 ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b)
% 4.30/4.41 | V_a = V_c ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__le__0__iff_3,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__le__0__iff_2,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__le__0__iff_1,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__le__0__iff_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__le__0__iff_5,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__le__0__iff_4,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__le__power_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_power__one__over_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a),V_n,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_refl__on__Id__on_0,axiom,
% 4.30/4.41 c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_power__0__left_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 4.30/4.41 | ~ class_Power_Opower(T_a)
% 4.30/4.41 | 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) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_order_Oless__le_1,axiom,
% 4.30/4.41 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x))
% 4.30/4.41 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_order_Ole__less_1,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_power__eq__0__iff_1,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 4.30/4.41 | ~ class_Power_Opower(T_a)
% 4.30/4.41 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_Domain__Id__on_0,axiom,
% 4.30/4.41 c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_preorder_Oless__le__not__le_2,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.41 | hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_preorder_Oless__irrefl_0,axiom,
% 4.30/4.41 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x))
% 4.30/4.41 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_preorder_Oless__imp__le_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__self__if_1,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 4.30/4.41 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__self_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.41 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 4.30/4.41 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_right__inverse__eq_1,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.41 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 4.30/4.41 | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__le__divide__iff_3,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__le__divide__iff_2,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__le__divide__iff_1,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__le__divide__iff_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_power__mono_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_b,V_n,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_linorder_Oneq__iff_1,axiom,
% 4.30/4.41 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x))
% 4.30/4.41 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_linorder_Onot__less__iff__gr__or__eq_2,axiom,
% 4.30/4.41 ( ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_vimage__if_2,axiom,
% 4.30/4.41 ( 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_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_vimage__if_3,axiom,
% 4.30/4.41 ( 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))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_Range__Id__on_0,axiom,
% 4.30/4.41 c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_fun__upd__upd_0,axiom,
% 4.30/4.41 c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b) = c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_order_Oeq__iff_0,axiom,
% 4.30/4.41 ( ~ c_Orderings_Oorder(V_less__eq,V_less,T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_equiv_Orefl__on_0,axiom,
% 4.30/4.41 ( c_Relation_Orefl__on(V_A,V_r,T_a)
% 4.30/4.41 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_power__divide_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_preorder_Oeq__refl_0,axiom,
% 4.30/4.41 ( ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_preorder_Oless__asym_0,axiom,
% 4.30/4.41 ( ~ hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_preorder_Oless__asym_H_0,axiom,
% 4.30/4.41 ( ~ hBOOL(hAPP(hAPP(V_less,V_b),V_a))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less,V_a),V_b))
% 4.30/4.41 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_preorder_Oless__trans_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(V_less,V_x),V_z))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less,V_y),V_z))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_preorder_Oorder__refl_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x))
% 4.30/4.41 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_preorder_Oorder__trans_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),V_z))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_z))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_preorder_Ole__less__trans_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(V_less,V_x),V_z))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less,V_y),V_z))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_preorder_Oless__le__trans_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(V_less,V_x),V_z))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_z))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_preorder_Oless__le__not__le_1,axiom,
% 4.30/4.41 ( ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__le__divide__iff_4,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__le__divide__iff_5,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_linorder_Onot__less__iff__gr__or__eq_1,axiom,
% 4.30/4.41 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 4.30/4.41 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_linorder_OleD_0,axiom,
% 4.30/4.41 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 4.30/4.41 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_linorder_OleI_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 4.30/4.41 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_linorder_Olinear_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 4.30/4.41 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_linorder_Onot__le_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 4.30/4.41 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_linorder_Onot__le_1,axiom,
% 4.30/4.41 ( ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 4.30/4.41 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_linorder_Onot__leE_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.41 | hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 4.30/4.41 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_linorder_Oantisym__conv1_1,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(V_less,V_x),V_x))
% 4.30/4.41 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_linorder_Oantisym__conv2_1,axiom,
% 4.30/4.41 ( ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x))
% 4.30/4.41 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_fun__upd__idem_0,axiom,
% 4.30/4.41 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_fun__upd__same_0,axiom,
% 4.30/4.41 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_fun__upd__triv_0,axiom,
% 4.30/4.41 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_fun__upd__apply_0,axiom,
% 4.30/4.41 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_fun__upd__idem__iff_1,axiom,
% 4.30/4.41 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_field__power__not__zero_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 4.30/4.41 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 4.30/4.41 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_power__eq__0__iff_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 4.30/4.41 | ~ class_Power_Opower(T_a)
% 4.30/4.41 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 4.30/4.41 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_power__0_0,axiom,
% 4.30/4.41 ( ~ class_Power_Opower(T_a)
% 4.30/4.41 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_class__semiring_Opwr__0_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.30/4.41 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_power__0__left_1,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 4.30/4.41 | ~ class_Power_Opower(T_a)
% 4.30/4.41 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 4.30/4.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_power__eq__0__iff_2,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 4.30/4.41 | ~ class_Power_Opower(T_a)
% 4.30/4.41 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 4.30/4.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_nonzero__power__divide_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.41 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 4.30/4.41 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_mkbot__Lin_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x)),c_Arrow__Order__Mirabelle_OLin))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_mktop__Lin_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x)),c_Arrow__Order__Mirabelle_OLin))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__neg__pos_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__pos__neg_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__less__0__iff_4,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__less__0__iff_5,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__less__divide__iff_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__less__divide__iff_1,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__less__divide__iff_2,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__less__divide__iff_3,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_order_Oeq__iff_2,axiom,
% 4.30/4.41 ( V_x = V_y
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_order_Oantisym_0,axiom,
% 4.30/4.41 ( V_x = V_y
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_order_Oantisym__conv_0,axiom,
% 4.30/4.41 ( V_x = V_y
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 4.30/4.41 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_vimage__code_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 4.30/4.41 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_vimage__code_1,axiom,
% 4.30/4.41 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 4.30/4.41 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_linorder_Onot__less__iff__gr__or__eq_0,axiom,
% 4.30/4.41 ( V_x = V_y
% 4.30/4.41 | hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 4.30/4.41 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_linorder_OneqE_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 4.30/4.41 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.41 | V_x = V_y
% 4.30/4.41 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_linorder_Oless__linear_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 4.30/4.41 | V_x = V_y
% 4.30/4.41 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.41 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_linorder_Oantisym__conv3_0,axiom,
% 4.30/4.41 ( V_x = V_y
% 4.30/4.41 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.41 | hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 4.30/4.41 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_eq__divide__eq_2,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_fun__upd__apply_1,axiom,
% 4.30/4.41 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z) = hAPP(V_f,V_z)
% 4.30/4.41 | V_z = V_x ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_fun__upd__other_0,axiom,
% 4.30/4.41 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z) = hAPP(V_f,V_z)
% 4.30/4.41 | V_z = V_x ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__right__mono__neg_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__right__mono_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a)),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_right__inverse__eq_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.41 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 4.30/4.41 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 4.30/4.41 | V_a = V_b ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_one__less__power_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.41 | 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)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_power__strict__decreasing_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.41 | 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)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oone__class_Oone(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_N)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_power__decreasing_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Oone__class_Oone(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_N)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_preorder__class_Oaxioms_0,axiom,
% 4.30/4.41 ( ~ class_Orderings_Opreorder(T_a)
% 4.30/4.41 | c_Orderings_Opreorder(c_lessequals(T_a),c_HOL_Oord__class_Oless(T_a),T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_add__nonneg__nonneg_0,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_add__increasing_0,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.30/4.41 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_c))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_add__increasing2_0,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.30/4.41 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 4.30/4.41 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x))
% 4.30/4.41 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 4.30/4.41 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x))
% 4.30/4.41 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_add__nonpos__nonpos_0,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_add__neg__neg_0,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_even__less__0__iff_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_even__less__0__iff_1,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_add__pos__pos_0,axiom,
% 4.30/4.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_pos__add__strict_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_c))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_one__le__power_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oone__class_Oone(T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__le__one_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oone__class_Oone(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_not__one__le__zero_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_not__one__less__zero_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_zero__less__one_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oone__class_Oone(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_power__inject__exp_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.41 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a))
% 4.30/4.41 | V_m = V_n ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_Id__on__iff_0,axiom,
% 4.30/4.41 ( V_x = V_y
% 4.30/4.41 | ~ 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))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_add__gr__0_1,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_m)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_add__gr__0_2,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_add__gr__0_0,axiom,
% 4.30/4.41 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_m))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_all__from__to__nat_Osimps_3,axiom,
% 4.30/4.41 ( c_List_Oall__from__to__nat(V_P,V_i,V_j)
% 4.30/4.41 | ~ hBOOL(hAPP(V_P,V_i))
% 4.30/4.41 | ~ c_List_Oall__from__to__nat(V_P,c_HOL_Oplus__class_Oplus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_j) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_in__mkbot_2,axiom,
% 4.30/4.41 ( 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))
% 4.30/4.41 | V_x = V_z
% 4.30/4.41 | ~ 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)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_in__mktop_4,axiom,
% 4.30/4.41 ( V_xa = V_x
% 4.30/4.41 | V_xa = V_x
% 4.30/4.41 | 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)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_in__mkbot_3,axiom,
% 4.30/4.41 ( 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)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z)))
% 4.30/4.41 | ~ 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))
% 4.30/4.41 | V_x = V_z
% 4.30/4.41 | V_y = V_z ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__eq__eq_1,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__zero_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__zero__left_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__self__if_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__strict__right__mono_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a)),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__strict__right__mono__neg_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a)),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__less__0__iff_3,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__less__0__iff_2,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__less__0__iff_1,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_divide__less__0__iff_0,axiom,
% 4.30/4.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.41 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.41 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.41
% 4.30/4.41 cnf(cls_power__eq__imp__eq__base_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.42 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a)
% 4.30/4.42 | V_a = V_b
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_zero__less__divide__iff_5,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_zero__less__divide__iff_4,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_divide__pos__pos_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_divide__neg__neg_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order_Oneq__le__trans_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(V_less,V_a),V_b))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_a),V_b))
% 4.30/4.42 | V_a = V_b
% 4.30/4.42 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order_Ole__neq__trans_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(V_less,V_a),V_b))
% 4.30/4.42 | V_a = V_b
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_a),V_b))
% 4.30/4.42 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order_Oless__le_2,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 4.30/4.42 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order_Ole__less_0,axiom,
% 4.30/4.42 ( V_x = V_y
% 4.30/4.42 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 4.30/4.42 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_less__divide__eq_3,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_less__divide__eq_2,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_divide__less__eq_3,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)),V_a))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_divide__less__eq_2,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)),V_a)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_linorder_Oantisym__conv2_0,axiom,
% 4.30/4.42 ( V_x = V_y
% 4.30/4.42 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 4.30/4.42 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_linorder_Oantisym__conv1_0,axiom,
% 4.30/4.42 ( V_x = V_y
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 4.30/4.42 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 4.30/4.42 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_fun__upd__idem__iff_0,axiom,
% 4.30/4.42 ( c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b) != V_f
% 4.30/4.42 | hAPP(V_f,V_x) = V_y ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_inj__on__contraD_0,axiom,
% 4.30/4.42 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_inj__on__iff_0,axiom,
% 4.30/4.42 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 4.30/4.42 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 4.30/4.42 | V_x = V_y ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_inj__on__def_0,axiom,
% 4.30/4.42 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 4.30/4.42 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 4.30/4.42 | V_x = V_xa ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_inj__onD_0,axiom,
% 4.30/4.42 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 4.30/4.42 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_pred__equals__eq_0,axiom,
% 4.30/4.42 ( 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)
% 4.30/4.42 | V_R = V_S ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_vimage__eq_1,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_vimageI2_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_vimageI_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_vimageE_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_vimageD_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_frac__less_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a)),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_w),V_z))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_w))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_divide__nonpos__pos_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_divide__nonneg__neg_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_frac__le_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a)),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_w),V_z))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_w))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_power__less__imp__less__base_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.42 | ~ 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))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_frac__less2_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a)),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_w),V_z))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_w))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_divide__nonpos__neg_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_divide__nonneg__pos_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_le__divide__eq_3,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_le__divide__eq_2,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_divide__le__eq_3,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)),V_a))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_divide__le__eq_2,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)),V_a)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_double__eq__0__iff_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.42 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 4.30/4.42 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oidom(T_a)
% 4.30/4.42 | ~ class_Int_Onumber__ring(T_a)
% 4.30/4.42 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 4.30/4.42 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_double__eq__0__iff_1,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.30/4.42 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.30/4.42 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 4.30/4.42 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oidom(T_a)
% 4.30/4.42 | ~ class_Int_Onumber__ring(T_a)
% 4.30/4.42 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 4.30/4.42 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__0__left_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 4.30/4.42 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 4.30/4.42 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.30/4.42 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.30/4.42 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__divide__distrib_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.42 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_power__strict__mono_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.42 | 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)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_divide__le__0__1__iff_1,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_divide__le__0__1__iff_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_zero__le__divide__1__iff_1,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_zero__le__divide__1__iff_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_zero__less__divide__1__iff_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_zero__less__divide__1__iff_1,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_divide__less__0__1__iff_1,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_divide__less__0__1__iff_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_one__neq__zero_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 4.30/4.42 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_power__one_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 4.30/4.42 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_zero__neq__one_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 4.30/4.42 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_divide__1_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Ofield(T_a)
% 4.30/4.42 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_all__from__to__nat_Osimps_2,axiom,
% 4.30/4.42 ( c_List_Oall__from__to__nat(V_P,V_i,V_j)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_all__from__to__nat_Osimps_1,axiom,
% 4.30/4.42 ( hBOOL(hAPP(V_P,V_i))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j))
% 4.30/4.42 | ~ c_List_Oall__from__to__nat(V_P,V_i,V_j) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_neq0__conv_1,axiom,
% 4.30/4.42 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_gr0I_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n))
% 4.30/4.42 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_gr__implies__not0_0,axiom,
% 4.30/4.42 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_not__less0_0,axiom,
% 4.30/4.42 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_preorder_Odual__preorder_0,axiom,
% 4.30/4.42 ( c_Orderings_Opreorder(c_COMBC(V_less__eq,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),T_a)
% 4.30/4.42 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_linorder_Odual__linorder_0,axiom,
% 4.30/4.42 ( c_Orderings_Olinorder(c_COMBC(V_less__eq,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),T_a)
% 4.30/4.42 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order_Odual__order_0,axiom,
% 4.30/4.42 ( c_Orderings_Oorder(c_COMBC(V_less__eq,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),T_a)
% 4.30/4.42 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__is__0_1,axiom,
% 4.30/4.42 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.30/4.42 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__is__0_0,axiom,
% 4.30/4.42 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.30/4.42 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 4.30/4.42 ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat)
% 4.30/4.42 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__eq__self__zero_0,axiom,
% 4.30/4.42 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m
% 4.30/4.42 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__is__0_2,axiom,
% 4.30/4.42 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 4.30/4.42 V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 4.30/4.42 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 4.30/4.42 c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_le__0__eq_1,axiom,
% 4.30/4.42 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_le__0__eq_0,axiom,
% 4.30/4.42 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_le0_0,axiom,
% 4.30/4.42 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_injD_0,axiom,
% 4.30/4.42 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 4.30/4.42 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 4.30/4.42 | V_x = V_y ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_vimage__UNIV_0,axiom,
% 4.30/4.42 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)) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_notin__Lin__iff_1,axiom,
% 4.30/4.42 ( ~ 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))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_notin__Lin__iff_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 4.30/4.42 | 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))
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_Lin__irrefl_0,axiom,
% 4.30/4.42 ( ~ 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_L))
% 4.30/4.42 | ~ 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_L))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_power__one__right_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 4.30/4.42 | c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_a ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.30/4.42 | c_Power_Opower__class_Opower(V_x,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_x ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_in__mkbot_5,axiom,
% 4.30/4.42 ( 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)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z)))
% 4.30/4.42 | ~ 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))
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | V_y = V_z ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_in__mkbot_0,axiom,
% 4.30/4.42 ~ 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)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x))) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_in__mkbot_1,axiom,
% 4.30/4.42 ~ 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)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x))) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_in__mkbot_4,axiom,
% 4.30/4.42 ( V_x = V_y
% 4.30/4.42 | V_y = V_x
% 4.30/4.42 | 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)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_in__mktop_2,axiom,
% 4.30/4.42 ( 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))
% 4.30/4.42 | V_y = V_z
% 4.30/4.42 | ~ 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)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_in__mktop_0,axiom,
% 4.30/4.42 ~ 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)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x))) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_in__mktop_1,axiom,
% 4.30/4.42 ~ 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)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x))) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_in__mktop_3,axiom,
% 4.30/4.42 ( 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)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z)))
% 4.30/4.42 | ~ 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))
% 4.30/4.42 | V_y = V_z
% 4.30/4.42 | V_x = V_z ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_in__mktop_5,axiom,
% 4.30/4.42 ( 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)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z)))
% 4.30/4.42 | ~ 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))
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | V_x = V_z ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_fun__upd__def_0,axiom,
% 4.30/4.42 hAPP(c_Fun_Ofun__upd(V_f,V_a,V_b,t_a,T_b),v_x) = hAPP(hAPP(hAPP(c_HOL_OIf(T_b),c_fequal(v_x,V_a,t_a)),V_b),hAPP(V_f,v_x)) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_vimage__if_1,axiom,
% 4.30/4.42 ( 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
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__pos__nonneg_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__nonneg__pos_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__strict__increasing2_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.30/4.42 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_c))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__strict__increasing_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.30/4.42 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_c))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__nonpos__neg_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__neg__nonpos_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_refl__onD_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),V_r))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 4.30/4.42 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_refl__onD1_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 4.30/4.42 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_refl__onD2_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 4.30/4.42 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_refl__on__def_1,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),V_r))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 4.30/4.42 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_total__on__def_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_xa,V_x,T_a,T_a)),V_r))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_xa,T_a,T_a)),V_r))
% 4.30/4.42 | V_x = V_xa
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 4.30/4.42 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_SigmaD1_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 4.30/4.42 | ~ 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))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_SigmaD2_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))
% 4.30/4.42 | ~ 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))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_DomainI_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_Domain__iff_1,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_x,T_a,T_b)),V_r)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_RangeI_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_ORange(V_r,T_a,T_b)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_Range__iff_1,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ORange(V_r,T_b,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_a,T_b,T_a)),V_r)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_equiv__class__eq__iff_1,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 4.30/4.42 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_equiv__class__eq__iff_2,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 4.30/4.42 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_Id__on__eqI_0,axiom,
% 4.30/4.42 ( 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)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_Id__on__iff_1,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 4.30/4.42 | ~ 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))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_Image__iff_2,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_b,T_b,T_a)),V_r))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_rev__ImageI_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_OImage(V_r,V_A,T_a,T_b)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_acc_Ocases_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),c_Wellfounded_Oacc(V_r,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_a,T_a,T_a)),V_r))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_acc__downward_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_SigmaI_0,axiom,
% 4.30/4.42 ( 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)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_mem__Sigma__iff_2,axiom,
% 4.30/4.42 ( 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)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_zero__less__two_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_gt__half__sum_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a)),V_b))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_less__half__sum_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_dual__preorder_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Opreorder(T_a)
% 4.30/4.42 | c_Orderings_Opreorder(c_COMBC(c_lessequals(T_a),T_a,T_a,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(T_a),T_a,T_a,tc_bool),T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_dual__order_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | c_Orderings_Oorder(c_COMBC(c_lessequals(T_a),T_a,T_a,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(T_a),T_a,T_a,tc_bool),T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_dual__linorder_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.42 | c_Orderings_Olinorder(c_COMBC(c_lessequals(T_a),T_a,T_a,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(T_a),T_a,T_a,tc_bool),T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_power__strict__increasing__iff_1,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.42 | 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)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_power__strict__increasing__iff_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y))
% 4.30/4.42 | ~ 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)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_power__strict__increasing_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.42 | 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)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_N)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_power__less__imp__less__exp_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 4.30/4.42 | ~ 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)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_in__measure_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y)))
% 4.30/4.42 | ~ 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))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_in__measure_1,axiom,
% 4.30/4.42 ( 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)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_mlex__less_0,axiom,
% 4.30/4.42 ( 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)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_power__increasing_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_a,V_N,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oone__class_Oone(T_a)),V_a))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_N)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_mlex__leq_0,axiom,
% 4.30/4.42 ( 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)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_R))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_all__from__to__nat_Osimps_0,axiom,
% 4.30/4.42 ( c_List_Oall__from__to__nat(V_P,c_HOL_Oplus__class_Oplus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_j)
% 4.30/4.42 | ~ hBOOL(hAPP(V_P,V_i))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j))
% 4.30/4.42 | ~ c_List_Oall__from__to__nat(V_P,V_i,V_j) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_injh_0,axiom,
% 4.30/4.42 c_Fun_Oinj__on(v_h____,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_vimage__if_0,axiom,
% 4.30/4.42 ( 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))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_power__increasing__iff_1,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Power_Opower__class_Opower(V_b,V_x,T_a)),c_Power_Opower__class_Opower(V_b,V_y,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_power__increasing__iff_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Power_Opower__class_Opower(V_b,V_x,T_a)),c_Power_Opower__class_Opower(V_b,V_y,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_power__le__imp__le__exp_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Power_Opower__class_Opower(V_a,V_m,T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_PiProf_0,axiom,
% 4.30/4.42 hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),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____)),c_Arrow__Order__Mirabelle_OProf)) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_0_0,axiom,
% 4.30/4.42 hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(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____))),c_Arrow__Order__Mirabelle_OLin)) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_1_0,axiom,
% 4.30/4.42 ~ 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)),hAPP(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),c_HOL_Ozero__class_Ozero(tc_nat)),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____)))) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__less__cancel__right_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__strict__left__mono_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__less__cancel__left_1,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__less__cancel__left_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__less__mono1_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat)),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat)),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat)),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_xt1_I6_J_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_xt1_I7_J_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_xt1_I8_J_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__trans_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Opreorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_le__refl_0,axiom,
% 4.30/4.42 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_n)) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_le__trans_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),V_k))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_j),V_k))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),V_j)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_eq__imp__le_0,axiom,
% 4.30/4.42 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_x)) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__eq__iff_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__eq__refl_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Opreorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__le__less__trans_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Opreorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__less__le__trans_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Opreorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_le__add__right__mono_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_Pair__eq_0,axiom,
% 4.30/4.42 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 4.30/4.42 | V_a = V_a_H ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_Pair__eq_1,axiom,
% 4.30/4.42 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 4.30/4.42 | V_b = V_b_H ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_xt1_I11_J_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 4.30/4.42 | V_a = V_b
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_xt1_I12_J_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a))
% 4.30/4.42 | V_a = V_b ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_nat__less__le_2,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 4.30/4.42 | V_m = V_n
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_le__eq__less__or__eq_0,axiom,
% 4.30/4.42 ( V_m = V_n
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_le__neq__implies__less_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 4.30/4.42 | V_m = V_n
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__le__less_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__less__le_2,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__le__neq__trans_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 4.30/4.42 | V_a = V_b
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__neq__le__trans_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 4.30/4.42 | V_a = V_b ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_linorder__antisym__conv1_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_linorder__antisym__conv2_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_xt1_I9_J_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 4.30/4.42 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_nat__le__linear_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_m))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_linorder__linear_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__less__asym_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Opreorder(T_a)
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__less__asym_H_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Opreorder(T_a)
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__less__cancel__right_1,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__strict__right__mono_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_not__add__less2_0,axiom,
% 4.30/4.42 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat)),V_i)) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_not__add__less1_0,axiom,
% 4.30/4.42 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat)),V_i)) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_top__greatest_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Otop(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_2_0,axiom,
% 4.30/4.42 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)),hAPP(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),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)),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____)))) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_less__add__one_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_nat__add__left__cancel__le_1,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat)),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_nat__add__left__cancel__le_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat)),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__le__mono1_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat)),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),V_j)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__left__mono_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__right__mono_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__le__cancel__left_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__le__cancel__left_1,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__le__cancel__right_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a))) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__le__cancel__right_1,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__less__imp__le_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Opreorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__le__less_1,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_nat__less__le_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__less__mono_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat)),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_k),V_l))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__strict__mono_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_linorder__antisym__conv3_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_linorder__less__linear_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__antisym__conv_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__antisym_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_linorder__neqE_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 4.30/4.42 | V_x = V_y ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__eq__iff_2,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_linorder__neqE__nat_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_y),V_x))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y))
% 4.30/4.42 | V_x = V_y ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_nat__less__cases_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m))
% 4.30/4.42 | V_m = V_n
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_nat__neq__iff_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 4.30/4.42 | V_m = V_n ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_le__antisym_0,axiom,
% 4.30/4.42 ( V_m = V_n
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_m))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.42 | V_x = V_y
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 4.30/4.42 | V_x = V_y ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_top__fun__eq_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Otop(T_b)
% 4.30/4.42 | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_le__iff__add_1,axiom,
% 4.30/4.42 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat))) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_le__add2_0,axiom,
% 4.30/4.42 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat))) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_le__add1_0,axiom,
% 4.30/4.42 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat))) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_top1I_0,axiom,
% 4.30/4.42 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__less__irrefl_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Opreorder(T_a)
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_linorder__neq__iff_1,axiom,
% 4.30/4.42 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__less__le_1,axiom,
% 4.30/4.42 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_less__not__refl_0,axiom,
% 4.30/4.42 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_n)) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_nat__less__le_1,axiom,
% 4.30/4.42 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_x)) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_less__le__not__le_2,axiom,
% 4.30/4.42 ( ~ class_Orderings_Opreorder(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_UNIV__I_0,axiom,
% 4.30/4.42 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.30/4.42 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_less__add__eq__less_0,axiom,
% 4.30/4.42 ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_k),V_l))
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_nat__add__commute_0,axiom,
% 4.30/4.42 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 4.30/4.42 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 4.30/4.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.30/4.42 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_trans__less__add2_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_trans__less__add1_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__lessD1_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_k))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat)),V_k)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_z)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__le__mono_0,axiom,
% 4.30/4.42 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat)),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_l))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),V_j)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_add__mono_0,axiom,
% 4.30/4.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 4.30/4.42 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a)))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 4.30/4.42 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 4.30/4.42
% 4.30/4.42 cnf(cls_order__less__trans_0,axiom,
% 4.30/4.42 ( ~ class_Orderings_Opreorder(T_a)
% 4.30/4.43 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_xt1_I10_J_0,axiom,
% 4.30/4.43 ( ~ class_Orderings_Oorder(T_a)
% 4.30/4.43 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 4.30/4.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_add__cancel__21_1,axiom,
% 4.30/4.43 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_nat__add__left__commute_0,axiom,
% 4.30/4.43 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_nat__add__assoc_0,axiom,
% 4.30/4.43 c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 4.30/4.43 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 4.30/4.43 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 4.30/4.43 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 4.30/4.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 4.30/4.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 4.30/4.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 4.30/4.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_add__cancel__21_0,axiom,
% 4.30/4.43 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_trans__le__add2_0,axiom,
% 4.30/4.43 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat)))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),V_j)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_trans__le__add1_0,axiom,
% 4.30/4.43 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat)))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),V_j)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_add__leE_1,axiom,
% 4.30/4.43 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_n))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat)),V_n)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_add__leE_0,axiom,
% 4.30/4.43 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat)),V_n)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_termination__basic__simps_I4_J_0,axiom,
% 4.30/4.43 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat)))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_z)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_termination__basic__simps_I3_J_0,axiom,
% 4.30/4.43 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat)))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_y)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_mem__def_1,axiom,
% 4.30/4.43 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
% 4.30/4.43 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_mem__def_0,axiom,
% 4.30/4.43 ( hBOOL(hAPP(V_S,V_x))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_COMBB__def_0,axiom,
% 4.30/4.43 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_COMBC__def_0,axiom,
% 4.30/4.43 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_not__leE_0,axiom,
% 4.30/4.43 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.43 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 4.30/4.43 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_linorder__antisym__conv2_1,axiom,
% 4.30/4.43 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_linorder__antisym__conv1_1,axiom,
% 4.30/4.43 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.43 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x))
% 4.30/4.43 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_linorder__not__less_1,axiom,
% 4.30/4.43 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_linorder__not__less_0,axiom,
% 4.30/4.43 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.43 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 4.30/4.43 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_linorder__not__le_1,axiom,
% 4.30/4.43 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_linorder__not__le_0,axiom,
% 4.30/4.43 ( ~ class_Orderings_Olinorder(T_a)
% 4.30/4.43 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 4.30/4.43 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_less__le__not__le_1,axiom,
% 4.30/4.43 ( ~ class_Orderings_Opreorder(T_a)
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 4.30/4.43 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat)
% 4.30/4.43 | V_y = V_z ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_nat__add__right__cancel_0,axiom,
% 4.30/4.43 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat)
% 4.30/4.43 | V_m = V_n ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_nat__add__left__cancel_0,axiom,
% 4.30/4.43 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 4.30/4.43 | V_m = V_n ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 4.30/4.43 ( ~ class_Ring__and__Field_Oidom(T_a)
% 4.30/4.43 | ~ class_Int_Onumber__ring(T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 4.30/4.43 | V_y = V_z ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_add__imp__eq_0,axiom,
% 4.30/4.43 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 4.30/4.43 | V_b = V_c ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_add__left__cancel_0,axiom,
% 4.30/4.43 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 4.30/4.43 | V_b = V_c ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_add__right__cancel_0,axiom,
% 4.30/4.43 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 4.30/4.43 | V_b = V_c ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 4.30/4.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.30/4.43 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_add__le__less__mono_0,axiom,
% 4.30/4.43 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 4.30/4.43 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a)))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_add__less__le__mono_0,axiom,
% 4.30/4.43 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 4.30/4.43 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a)))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_CHAINED_0,axiom,
% 4.30/4.43 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)),hAPP(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),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)),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____)))) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_CHAINED_1,axiom,
% 4.30/4.43 ( ~ 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)),hAPP(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____))))
% 4.30/4.43 | ~ 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)),hAPP(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____)))) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_CHAINED_0_01,axiom,
% 4.30/4.43 ( 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)),hAPP(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____))))
% 4.30/4.43 | 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)),hAPP(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____)))) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_CHAINED_2,axiom,
% 4.30/4.43 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)),hAPP(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),c_HOL_Oplus__class_Oplus(v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),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____)))) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_CHAINED_1_02,axiom,
% 4.30/4.43 ( ~ 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)),hAPP(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_i),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____))))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_CHAINED_0_03,axiom,
% 4.30/4.43 hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____)),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_conjecture_0,negated_conjecture,
% 4.30/4.43 ( ~ 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)),hAPP(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),c_HOL_Oplus__class_Oplus(V_xa,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),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____))))
% 4.30/4.43 | hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_x,V_xa)),V_xa))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_xa),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_conjecture_1,negated_conjecture,
% 4.30/4.43 ( ~ 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)),hAPP(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),c_HOL_Oplus__class_Oplus(V_xa,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),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____))))
% 4.30/4.43 | ~ 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)),hAPP(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),hAPP(v_x,V_xa)),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____))))
% 4.30/4.43 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_xa),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 4.30/4.43 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 4.30/4.43 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 4.30/4.43 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 4.30/4.43 | ~ class_Orderings_Opreorder(T_1) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 4.30/4.43 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 4.30/4.43 | ~ class_Orderings_Oorder(T_1) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_fun__Orderings_Otop,axiom,
% 4.30/4.43 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 4.30/4.43 | ~ class_Orderings_Otop(T_1) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_fun__Orderings_Obot,axiom,
% 4.30/4.43 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 4.30/4.43 | ~ class_Orderings_Obot(T_1) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_fun__HOL_Ouminus,axiom,
% 4.30/4.43 ( class_HOL_Ouminus(tc_fun(T_2,T_1))
% 4.30/4.43 | ~ class_HOL_Ouminus(T_1) ) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 4.30/4.43 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 4.30/4.43 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 4.30/4.43 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 4.30/4.43 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 4.30/4.43 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 4.30/4.43 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 4.30/4.43 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 4.30/4.43 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 4.30/4.43 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 4.30/4.43 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 4.30/4.43 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 4.30/4.43 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 4.30/4.43 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 4.30/4.43 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 4.30/4.43 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 4.30/4.43 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 4.30/4.43 class_Orderings_Opreorder(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 4.30/4.43 class_Orderings_Olinorder(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 4.30/4.43 class_Orderings_Oorder(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__Orderings_Obot,axiom,
% 4.30/4.43 class_Orderings_Obot(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_nat__Power_Opower,axiom,
% 4.30/4.43 class_Power_Opower(tc_nat) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 4.30/4.43 class_Lattices_Oboolean__algebra(tc_bool) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 4.30/4.43 class_Orderings_Opreorder(tc_bool) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 4.30/4.43 class_Orderings_Oorder(tc_bool) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_bool__Orderings_Otop,axiom,
% 4.30/4.43 class_Orderings_Otop(tc_bool) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_bool__Orderings_Obot,axiom,
% 4.30/4.43 class_Orderings_Obot(tc_bool) ).
% 4.30/4.43
% 4.30/4.43 cnf(clsarity_bool__HOL_Ouminus,axiom,
% 4.30/4.43 class_HOL_Ouminus(tc_bool) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
% 4.30/4.43 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
% 4.30/4.43 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 4.30/4.43 hBOOL(c_fequal(V_x,V_x,T_a)) ).
% 4.30/4.43
% 4.30/4.43 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 4.30/4.43 ( V_X = V_Y
% 4.30/4.43 | ~ hBOOL(c_fequal(V_X,V_Y,T_a)) ) ).
% 4.30/4.43
% 4.30/4.43 %------------------------------------------------------------------------------
% 4.30/4.43 %-------------------------------------------
% 4.30/4.43 % Proof found
% 4.30/4.43 % SZS status Theorem for theBenchmark
% 4.30/4.43 % SZS output start Proof
% 4.30/4.43 %ClaNum:714(EqnAxiom:150)
% 4.30/4.43 %VarNum:3777(SingletonVarNum:1314)
% 4.30/4.43 %MaxLitNum:6
% 4.30/4.43 %MaxfuncDepth:7
% 4.30/4.43 %SharedTerms:112
% 4.30/4.43 %goalClause: 711 714
% 4.30/4.43 [151]P1(a1)
% 4.30/4.43 [152]P1(a2)
% 4.30/4.43 [153]P2(a2)
% 4.30/4.43 [154]P3(a2)
% 4.30/4.43 [155]P28(a1)
% 4.30/4.43 [156]P42(a1)
% 4.30/4.43 [157]P29(a1)
% 4.30/4.43 [158]P44(a1)
% 4.30/4.43 [159]P34(a1)
% 4.30/4.43 [160]P35(a1)
% 4.30/4.43 [161]P36(a1)
% 4.30/4.43 [162]P30(a1)
% 4.30/4.43 [163]P30(a2)
% 4.30/4.43 [164]P13(a1)
% 4.30/4.43 [165]P14(a1)
% 4.30/4.43 [166]P15(a1)
% 4.30/4.43 [167]P20(a1)
% 4.30/4.43 [168]P23(a1)
% 4.30/4.43 [169]P31(a1)
% 4.30/4.43 [170]P31(a2)
% 4.30/4.43 [171]P32(a1)
% 4.30/4.43 [172]P27(a1)
% 4.30/4.43 [173]P33(a2)
% 4.30/4.43 [174]P24(a1)
% 4.30/4.43 [175]P16(a1)
% 4.30/4.43 [176]P18(a1)
% 4.30/4.43 [177]P19(a1)
% 4.30/4.43 [199]P5(a40,f21(f38(a36,a2)),a36,a1)
% 4.30/4.43 [197]E(f34(f34(f33(a35),a39),f18(f38(a35,a2))),f34(f18(f38(a35,a2)),a39))
% 4.30/4.43 [221]P45(f34(f34(f14(a1),f47(a41,a43,a44,a45,a46,a40)),f5(f21(f38(a36,a2)),a36)))
% 4.30/4.43 [224]P45(f34(f34(f33(f42(a37,a37)),f22(a45,a46,a37,a37)),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),f5(f21(f38(a36,a2)),a36)),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44))))
% 4.30/4.43 [226]P45(f34(f34(f33(f42(a37,a37)),f22(a45,a46,a37,a37)),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),f4(f47(a41,a43,a44,a45,a46,a40),f15(a1),a1)),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44))))
% 4.30/4.43 [244]~P45(f34(f34(f33(f42(a37,a37)),f22(a45,a46,a37,a37)),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),f3(a1)),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44))))
% 4.30/4.43 [179]E(f4(x1791,f3(a1),a1),x1791)
% 4.30/4.43 [180]E(f4(f3(a1),x1801,a1),x1801)
% 4.30/4.43 [194]E(f17(f18(f38(x1941,a2)),f38(x1941,a2)),f21(f38(x1941,a2)))
% 4.30/4.43 [195]E(f17(f21(f38(x1951,a2)),f38(x1951,a2)),f18(f38(x1951,a2)))
% 4.30/4.43 [227]~E(f21(f38(x2271,a2)),f18(f38(x2271,a2)))
% 4.30/4.43 [231]~P45(f34(f34(f14(a1),x2311),f3(a1)))
% 4.30/4.43 [182]E(f5(f18(f38(x1821,a2)),x1821),f3(a1))
% 4.30/4.43 [187]P45(f34(f34(f27(a1),x1871),x1871))
% 4.30/4.43 [190]P45(f34(f34(f27(a1),f3(a1)),x1901))
% 4.30/4.43 [229]~P45(f34(f34(f14(a1),x2291),x2291))
% 4.30/4.43 [237]~P45(f34(f34(f14(a1),f3(a1)),f5(f18(f38(x2371,a2)),x2371)))
% 4.30/4.43 [222]P45(f34(f34(f33(f38(a36,f38(f42(a37,a37),a2))),f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),x2221),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44)),a8))
% 4.30/4.43 [225]P45(f34(f34(f33(f38(f42(a37,a37),a2)),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),x2251),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44))),a9))
% 4.30/4.43 [183]P4(x1831,f19(x1831,x1832),x1832)
% 4.30/4.43 [188]E(f4(x1881,x1882,a1),f4(x1882,x1881,a1))
% 4.30/4.43 [192]P45(f28(x1921,x1921,x1922))
% 4.30/4.43 [184]E(f20(f19(x1841,x1842),x1842,x1842),x1841)
% 4.30/4.43 [185]E(f25(f19(x1851,x1852),x1852,x1852),x1851)
% 4.30/4.43 [189]P11(f18(f38(x1891,a2)),x1892,x1891)
% 4.30/4.43 [191]E(f17(f17(x1911,f38(x1912,a2)),f38(x1912,a2)),x1911)
% 4.30/4.43 [201]P45(f34(f34(f27(a1),x2011),f4(x2012,x2011,a1)))
% 4.30/4.43 [203]P45(f34(f34(f27(a1),x2031),f4(x2031,x2032,a1)))
% 4.30/4.43 [196]P45(f34(f21(f38(x1961,a2)),x1962))
% 4.30/4.43 [198]P45(f34(f34(f33(x1981),x1982),f21(f38(x1981,a2))))
% 4.30/4.43 [233]~P45(f34(f18(f38(x2331,a2)),x2332))
% 4.30/4.43 [236]~P45(f34(f34(f33(x2361),x2362),f18(f38(x2361,a2))))
% 4.30/4.43 [238]~P45(f34(f34(f14(a1),f4(x2381,x2382,a1)),x2382))
% 4.30/4.43 [239]~P45(f34(f34(f14(a1),f4(x2391,x2392,a1)),x2391))
% 4.30/4.43 [200]P5(x2001,f18(f38(x2002,a2)),x2002,x2003)
% 4.30/4.43 [204]E(f4(x2041,f4(x2042,x2043,a1),a1),f4(x2042,f4(x2041,x2043,a1),a1))
% 4.30/4.43 [205]E(f4(f4(x2051,x2052,a1),x2053,a1),f4(x2051,f4(x2052,x2053,a1),a1))
% 4.30/4.43 [240]~P45(f34(f34(f33(f42(a37,a37)),f22(x2401,x2402,a37,a37)),f10(x2403,x2402)))
% 4.30/4.43 [241]~P45(f34(f34(f33(f42(a37,a37)),f22(x2411,x2412,a37,a37)),f11(x2413,x2411)))
% 4.30/4.43 [206]E(f29(x2061,f18(f38(x2062,a2)),x2063,x2062),f18(f38(x2063,a2)))
% 4.30/4.43 [207]E(f29(x2071,f21(f38(x2072,a2)),x2073,x2072),f21(f38(x2073,a2)))
% 4.30/4.43 [208]E(f26(x2081,f18(f38(x2082,a2)),x2082,x2083),f18(f38(x2083,a2)))
% 4.30/4.43 [214]E(f12(x2141,x2142,f34(x2141,x2142),x2143,x2144),x2141)
% 4.30/4.43 [219]E(f34(f34(f34(f13(x2191),f28(a39,x2192,a35)),x2193),f34(x2194,a39)),f34(f12(x2194,x2192,x2193,a35,x2191),a39))
% 4.30/4.43 [209]E(f29(x2091,f17(x2092,f38(x2093,a2)),x2094,x2093),f17(f29(x2091,x2092,x2094,x2093),f38(x2094,a2)))
% 4.30/4.43 [216]E(f34(f12(x2161,x2162,x2163,x2164,x2165),x2162),x2163)
% 4.30/4.43 [218]E(f34(f7(x2181,x2182,x2183,x2184,x2185),x2186),f34(x2181,f34(x2182,x2186)))
% 4.30/4.43 [220]E(f12(f12(x2201,x2202,x2203,x2204,x2205),x2202,x2206,x2204,x2205),f12(x2201,x2202,x2206,x2204,x2205))
% 4.30/4.43 [211]E(f34(f34(f6(x2111,x2112,x2113,x2114),x2115),x2116),f34(f34(x2111,x2116),x2115))
% 4.30/4.43 [246]~P44(x2461)+~E(f15(x2461),f3(x2461))
% 4.30/4.43 [284]~P30(x2841)+P7(f27(x2841),f14(x2841),x2841)
% 4.30/4.43 [248]~P21(x2481)+E(f17(f3(x2481),x2481),f3(x2481))
% 4.30/4.43 [249]~P25(x2491)+E(f17(f3(x2491),x2491),f3(x2491))
% 4.30/4.43 [250]~P2(x2501)+E(f17(f18(x2501),x2501),f21(x2501))
% 4.30/4.43 [251]~P2(x2511)+E(f17(f21(x2511),x2511),f18(x2511))
% 4.30/4.43 [288]~P22(x2881)+E(f4(f3(x2881),f3(x2881),x2881),f3(x2881))
% 4.30/4.43 [325]~P28(x3251)+P45(f34(f34(f14(x3251),f3(x3251)),f15(x3251)))
% 4.30/4.43 [326]~P28(x3261)+P45(f34(f34(f27(x3261),f3(x3261)),f15(x3261)))
% 4.30/4.43 [328]E(x3281,f3(a1))+~P45(f34(f34(f27(a1),x3281),f3(a1)))
% 4.30/4.43 [369]~P28(x3691)+~P45(f34(f34(f14(x3691),f15(x3691)),f3(x3691)))
% 4.30/4.43 [370]~P28(x3701)+~P45(f34(f34(f27(x3701),f15(x3701)),f3(x3701)))
% 4.30/4.43 [605]~P31(x6051)+P9(f6(f27(x6051),x6051,x6051,a2),f6(f14(x6051),x6051,x6051,a2),x6051)
% 4.30/4.43 [606]~P30(x6061)+P7(f6(f27(x6061),x6061,x6061,a2),f6(f14(x6061),x6061,x6061,a2),x6061)
% 4.30/4.43 [607]~P32(x6071)+P10(f6(f27(x6071),x6071,x6071,a2),f6(f14(x6071),x6071,x6071,a2),x6071)
% 4.30/4.43 [285]~P1(x2851)+E(f34(f18(f38(a35,x2851)),a39),f18(x2851))
% 4.30/4.43 [286]~P33(x2861)+E(f34(f21(f38(a35,x2861)),a39),f21(x2861))
% 4.30/4.43 [309]E(x3091,f3(a1))+P45(f34(f34(f14(a1),f3(a1)),x3091))
% 4.30/4.43 [458]~P28(x4581)+P45(f34(f34(f14(x4581),f3(x4581)),f4(f15(x4581),f15(x4581),x4581)))
% 4.30/4.43 [710]~P45(f34(f34(f27(a1),x7101),f47(a41,a43,a44,a45,a46,a40)))+~P45(f34(f34(f33(f42(a37,a37)),f22(a45,a46,a37,a37)),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),x7101),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44))))
% 4.30/4.43 [712]P45(f34(f34(f33(f42(a37,a37)),f22(a46,a45,a37,a37)),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),x7121),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44))))+P45(f34(f34(f33(f42(a37,a37)),f22(a45,a46,a37,a37)),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),x7121),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44))))
% 4.30/4.43 [713]~P45(f34(f34(f33(f42(a37,a37)),f22(a46,a45,a37,a37)),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),x7131),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44))))+~P45(f34(f34(f33(f42(a37,a37)),f22(a45,a46,a37,a37)),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),x7131),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44))))
% 4.30/4.43 [253]~P1(x2532)+P1(f38(x2531,x2532))
% 4.30/4.43 [254]~P2(x2542)+P2(f38(x2541,x2542))
% 4.30/4.43 [255]~P3(x2552)+P3(f38(x2551,x2552))
% 4.30/4.43 [256]~P30(x2562)+P30(f38(x2561,x2562))
% 4.30/4.43 [257]~P31(x2572)+P31(f38(x2571,x2572))
% 4.30/4.43 [258]~P33(x2582)+P33(f38(x2581,x2582))
% 4.30/4.43 [297]~E(f4(x2972,x2971,a1),x2972)+E(x2971,f3(a1))
% 4.30/4.43 [298]E(x2981,f3(a1))+~E(f4(x2982,x2981,a1),f3(a1))
% 4.30/4.43 [299]E(x2991,f3(a1))+~E(f4(x2991,x2992,a1),f3(a1))
% 4.30/4.43 [264]~P21(x2642)+E(f17(f17(x2641,x2642),x2642),x2641)
% 4.30/4.43 [265]~P2(x2652)+E(f17(f17(x2651,x2652),x2652),x2651)
% 4.30/4.43 [268]~P36(x2682)+E(f23(x2681,f15(a1),x2682),x2681)
% 4.30/4.43 [269]~P23(x2692)+E(f23(x2691,f15(a1),x2692),x2691)
% 4.30/4.43 [270]~P36(x2702)+E(f4(x2701,f3(x2702),x2702),x2701)
% 4.30/4.43 [271]~P15(x2712)+E(f4(x2711,f3(x2712),x2712),x2711)
% 4.30/4.43 [272]~P20(x2722)+E(f4(x2721,f3(x2722),x2722),x2721)
% 4.30/4.43 [273]~P37(x2732)+E(f16(x2731,f15(x2732),x2732),x2731)
% 4.30/4.43 [275]~P36(x2751)+E(f4(f3(x2751),x2752,x2751),x2752)
% 4.30/4.43 [276]~P15(x2761)+E(f4(f3(x2761),x2762,x2761),x2762)
% 4.30/4.43 [277]~P20(x2771)+E(f4(f3(x2771),x2772,x2771),x2772)
% 4.30/4.43 [278]~P29(x2782)+E(f23(x2781,f3(a1),x2782),f15(x2782))
% 4.30/4.43 [279]~P36(x2792)+E(f23(x2791,f3(a1),x2792),f15(x2792))
% 4.30/4.43 [282]~P37(x2821)+E(f16(f3(x2821),x2822,x2821),f3(x2821))
% 4.30/4.43 [283]~P23(x2831)+E(f23(f15(x2831),x2832,x2831),f15(x2831))
% 4.30/4.43 [300]~P21(x3002)+E(f4(x3001,f17(x3001,x3002),x3002),f3(x3002))
% 4.30/4.43 [301]~P17(x3012)+E(f4(f17(x3011,x3012),x3011,x3012),f3(x3012))
% 4.30/4.43 [303]~P21(x3032)+E(f4(f17(x3031,x3032),x3031,x3032),f3(x3032))
% 4.30/4.43 [319]~P33(x3191)+P45(f34(f34(f27(x3191),x3192),f21(x3191)))
% 4.30/4.43 [310]~P30(x3101)+P45(f34(f34(f27(x3101),x3102),x3102))
% 4.30/4.43 [311]~P31(x3111)+P45(f34(f34(f27(x3111),x3112),x3112))
% 4.30/4.43 [321]~P3(x3212)+E(f34(f17(x3211,f38(a35,x3212)),a39),f17(f34(x3211,a39),x3212))
% 4.30/4.43 [322]~P1(x3221)+P45(f34(f34(f27(x3221),f18(x3221)),x3222))
% 4.30/4.43 [336]~P30(x3361)+~P45(f34(f34(f14(x3361),x3362),x3362))
% 4.30/4.43 [337]~P31(x3371)+~P45(f34(f34(f14(x3371),x3372),x3372))
% 4.30/4.43 [338]~P32(x3381)+~P45(f34(f34(f14(x3381),x3382),x3382))
% 4.30/4.43 [345]P45(f34(f34(f27(a1),x3452),x3451))+P45(f34(f34(f27(a1),x3451),x3452))
% 4.30/4.43 [374]~P45(f34(f34(f14(a1),x3741),x3742))+P45(f34(f34(f27(a1),x3741),x3742))
% 4.30/4.43 [440]~P28(x4401)+P45(f34(f34(f14(x4401),x4402),f4(x4402,f15(x4401),x4401)))
% 4.30/4.43 [658]P45(f34(f34(f33(f38(f42(a37,a37),a2)),f10(x6581,x6582)),a9))+~P45(f34(f34(f33(f38(f42(a37,a37),a2)),x6581),a9))
% 4.30/4.43 [659]P45(f34(f34(f33(f38(f42(a37,a37),a2)),f11(x6591,x6592)),a9))+~P45(f34(f34(f33(f38(f42(a37,a37),a2)),x6591),a9))
% 4.30/4.43 [323]~P6(x3231,x3232,x3233)+P4(x3231,x3232,x3233)
% 4.30/4.43 [315]~P36(x3153)+E(f4(x3151,x3152,x3153),f4(x3152,x3151,x3153))
% 4.30/4.43 [316]~P15(x3163)+E(f4(x3161,x3162,x3163),f4(x3162,x3161,x3163))
% 4.30/4.43 [333]E(x3331,x3332)+~E(f4(x3333,x3331,a1),f4(x3333,x3332,a1))
% 4.30/4.43 [334]E(x3341,x3342)+~E(f4(x3341,x3343,a1),f4(x3342,x3343,a1))
% 4.30/4.43 [340]E(x3401,x3402)+~P45(f28(x3401,x3402,x3403))
% 4.30/4.43 [622]~P9(x6221,x6223,x6222)+P9(f6(x6221,x6222,x6222,a2),f6(x6223,x6222,x6222,a2),x6222)
% 4.30/4.43 [623]~P7(x6231,x6233,x6232)+P7(f6(x6231,x6232,x6232,a2),f6(x6233,x6232,x6232,a2),x6232)
% 4.30/4.43 [624]~P10(x6241,x6243,x6242)+P10(f6(x6241,x6242,x6242,a2),f6(x6243,x6242,x6242,a2),x6242)
% 4.30/4.43 [317]E(x3171,x3172)+~E(f17(x3171,f38(x3173,a2)),f17(x3172,f38(x3173,a2)))
% 4.30/4.43 [348]~P17(x3482)+E(f4(f17(x3481,x3482),f4(x3483,x3481,x3482),x3482),x3483)
% 4.30/4.43 [349]~P21(x3492)+E(f4(f17(x3491,x3492),f4(x3491,x3493,x3492),x3492),x3493)
% 4.30/4.43 [351]~P37(x3512)+E(f16(f17(x3511,x3512),x3513,x3512),f17(f16(x3511,x3513,x3512),x3512))
% 4.30/4.43 [371]~P21(x3712)+E(f4(f17(x3711,x3712),f17(x3713,x3712),x3712),f17(f4(x3713,x3711,x3712),x3712))
% 4.30/4.43 [372]~P17(x3722)+E(f4(f17(x3721,x3722),f17(x3723,x3722),x3722),f17(f4(x3721,x3723,x3722),x3722))
% 4.30/4.43 [665]E(x6651,x6652)+P45(f34(f34(f33(f42(a37,a37)),f22(x6651,x6652,a37,a37)),f10(x6653,x6651)))
% 4.30/4.43 [666]E(x6661,x6662)+P45(f34(f34(f33(f42(a37,a37)),f22(x6661,x6662,a37,a37)),f11(x6663,x6662)))
% 4.30/4.43 [324]P8(x3241,x3242,x3243)+P45(f34(f34(f14(a1),x3242),x3243))
% 4.30/4.43 [327]~P45(f34(x3273,x3272))+P45(f34(f34(f33(x3271),x3272),x3273))
% 4.30/4.43 [350]P45(f34(x3501,x3502))+~P45(f34(f34(f33(x3503),x3502),x3501))
% 4.30/4.43 [363]~P21(x3632)+E(f4(x3631,f4(f17(x3631,x3632),x3633,x3632),x3632),x3633)
% 4.30/4.43 [445]P45(f34(f34(f33(x4451),x4452),x4453))+P45(f34(f34(f33(x4451),x4452),f17(x4453,f38(x4451,a2))))
% 4.30/4.43 [490]P45(f34(f34(f14(a1),x4901),f4(x4902,x4903,a1)))+~P45(f34(f34(f14(a1),x4901),x4903))
% 4.30/4.43 [492]P45(f34(f34(f14(a1),x4921),f4(x4922,x4923,a1)))+~P45(f34(f34(f14(a1),x4921),x4922))
% 4.30/4.43 [494]P45(f34(f34(f27(a1),x4941),f4(x4942,x4943,a1)))+~P45(f34(f34(f27(a1),x4941),x4943))
% 4.30/4.43 [496]P45(f34(f34(f27(a1),x4961),f4(x4962,x4963,a1)))+~P45(f34(f34(f27(a1),x4961),x4962))
% 4.30/4.43 [518]~P45(f34(f34(f33(x5181),x5182),x5183))+~P45(f34(f34(f33(x5181),x5182),f17(x5183,f38(x5181,a2))))
% 4.30/4.43 [567]P45(f34(f34(f14(a1),f4(x5671,x5672,a1)),f4(x5673,x5672,a1)))+~P45(f34(f34(f14(a1),x5671),x5673))
% 4.30/4.43 [568]P45(f34(f34(f14(a1),f4(x5681,x5682,a1)),f4(x5681,x5683,a1)))+~P45(f34(f34(f14(a1),x5682),x5683))
% 4.30/4.43 [569]P45(f34(f34(f27(a1),f4(x5691,x5692,a1)),f4(x5693,x5692,a1)))+~P45(f34(f34(f27(a1),x5691),x5693))
% 4.30/4.43 [570]P45(f34(f34(f27(a1),f4(x5701,x5702,a1)),f4(x5701,x5703,a1)))+~P45(f34(f34(f27(a1),x5702),x5703))
% 4.30/4.43 [573]P45(f34(f34(f14(a1),x5731),x5732))+~P45(f34(f34(f14(a1),f4(x5731,x5733,a1)),x5732))
% 4.30/4.43 [574]P45(f34(f34(f27(a1),x5741),x5742))+~P45(f34(f34(f27(a1),f4(x5743,x5741,a1)),x5742))
% 4.30/4.43 [575]P45(f34(f34(f27(a1),x5751),x5752))+~P45(f34(f34(f27(a1),f4(x5751,x5753,a1)),x5752))
% 4.30/4.43 [635]~P45(f34(f34(f14(a1),f4(x6353,x6351,a1)),f4(x6353,x6352,a1)))+P45(f34(f34(f14(a1),x6351),x6352))
% 4.30/4.43 [636]~P45(f34(f34(f27(a1),f4(x6363,x6361,a1)),f4(x6363,x6362,a1)))+P45(f34(f34(f27(a1),x6361),x6362))
% 4.30/4.43 [661]E(x6611,x6612)+~E(f34(f6(f33(x6613),x6613,f38(x6613,a2),a2),x6611),f34(f6(f33(x6613),x6613,f38(x6613,a2),a2),x6612))
% 4.30/4.43 [669]P45(f34(f34(f33(f42(x6691,x6691)),f22(x6692,x6692,x6691,x6691)),f19(x6693,x6691)))+~P45(f34(f34(f33(x6691),x6692),x6693))
% 4.30/4.43 [329]~P9(x3291,x3293,x3294)+P45(f34(f34(x3291,x3292),x3292))
% 4.30/4.43 [331]~P7(x3311,x3313,x3314)+P45(f34(f34(x3311,x3312),x3312))
% 4.30/4.43 [354]~P9(x3541,x3542,x3543)+~P45(f34(f34(x3542,x3544),x3544))
% 4.30/4.43 [355]~P7(x3551,x3552,x3553)+~P45(f34(f34(x3552,x3554),x3554))
% 4.30/4.43 [357]~P10(x3571,x3572,x3573)+~P45(f34(f34(x3572,x3574),x3574))
% 4.30/4.43 [410]~P17(x4104)+E(f4(x4101,f4(x4102,x4103,x4104),x4104),f4(x4102,f4(x4101,x4103,x4104),x4104))
% 4.30/4.43 [411]~P36(x4114)+E(f4(x4111,f4(x4112,x4113,x4114),x4114),f4(x4112,f4(x4111,x4113,x4114),x4114))
% 4.30/4.43 [412]~P15(x4124)+E(f4(x4121,f4(x4122,x4123,x4124),x4124),f4(x4122,f4(x4121,x4123,x4124),x4124))
% 4.30/4.43 [415]~P36(x4153)+E(f4(f4(x4151,x4152,x4153),x4154,x4153),f4(x4151,f4(x4152,x4154,x4153),x4153))
% 4.30/4.43 [416]~P15(x4163)+E(f4(f4(x4161,x4162,x4163),x4164,x4163),f4(x4161,f4(x4162,x4164,x4163),x4163))
% 4.30/4.43 [417]~P16(x4173)+E(f4(f4(x4171,x4172,x4173),x4174,x4173),f4(x4171,f4(x4172,x4174,x4173),x4173))
% 4.30/4.43 [418]~P36(x4183)+E(f4(f4(x4181,x4182,x4183),x4184,x4183),f4(f4(x4181,x4184,x4183),x4182,x4183))
% 4.30/4.43 [475]~P37(x4753)+E(f4(f16(x4751,x4752,x4753),f16(x4754,x4752,x4753),x4753),f16(f4(x4751,x4754,x4753),x4752,x4753))
% 4.30/4.43 [673]P45(f34(f34(f33(f42(x6731,x6731)),f22(x6732,x6733,x6731,x6731)),f30(x6734,x6731)))+~P45(f34(f34(f14(a1),f34(x6734,x6732)),f34(x6734,x6733)))
% 4.30/4.43 [675]E(x6751,x6752)+~P45(f34(f34(f33(f42(x6753,x6753)),f22(x6751,x6752,x6753,x6753)),f19(x6754,x6753)))
% 4.30/4.43 [687]~P45(f34(f34(f33(f42(x6874,x6874)),f22(x6872,x6873,x6874,x6874)),f30(x6871,x6874)))+P45(f34(f34(f14(a1),f34(x6871,x6872)),f34(x6871,x6873)))
% 4.30/4.43 [678]~P45(f34(f34(f33(f42(x6781,x6781)),f22(x6782,x6784,x6781,x6781)),f19(x6783,x6781)))+P45(f34(f34(f33(x6781),x6782),x6783))
% 4.30/4.43 [662]~E(f12(x6621,x6622,x6623,x6624,x6625),x6621)+E(f34(x6621,x6622),x6623)
% 4.30/4.43 [508]~P36(x5083)+E(f4(f4(x5081,x5082,x5083),f4(x5084,x5085,x5083),x5083),f4(f4(x5081,x5084,x5083),f4(x5082,x5085,x5083),x5083))
% 4.30/4.43 [634]~P45(f34(x6342,f34(x6341,x6345)))+P45(f34(f29(x6341,x6342,x6343,x6344),x6345))
% 4.30/4.43 [660]P45(f34(x6601,f34(x6602,x6603)))+~P45(f34(f29(x6602,x6601,x6604,x6605),x6603))
% 4.30/4.43 [674]P45(f34(f34(f33(f42(x6741,x6741)),f22(x6742,x6743,x6741,x6741)),f32(x6744,x6745,x6741)))+~P45(f34(f34(f14(a1),f34(x6744,x6742)),f34(x6744,x6743)))
% 4.30/4.43 [648]P45(f34(f34(f33(x6481),x6482),f29(x6483,x6484,x6481,x6485)))+~P45(f34(f34(f33(x6485),f34(x6483,x6482)),x6484))
% 4.30/4.43 [664]~P45(f34(f34(f33(x6645),x6643),f29(x6642,x6644,x6645,x6641)))+P45(f34(f34(f33(x6641),f34(x6642,x6643)),x6644))
% 4.30/4.43 [684]P45(f34(f34(f33(x6841),x6842),f20(x6843,x6841,x6844)))+~P45(f34(f34(f33(f42(x6841,x6844)),f22(x6842,x6845,x6841,x6844)),x6843))
% 4.30/4.43 [686]P45(f34(f34(f33(x6861),x6862),f25(x6863,x6864,x6861)))+~P45(f34(f34(f33(f42(x6864,x6861)),f22(x6865,x6862,x6864,x6861)),x6863))
% 4.30/4.43 [554]E(x5541,x5542)+~E(f22(x5543,x5541,x5544,x5545),f22(x5546,x5542,x5544,x5545))
% 4.30/4.43 [555]E(x5551,x5552)+~E(f22(x5551,x5553,x5554,x5555),f22(x5552,x5556,x5554,x5555))
% 4.30/4.43 [668]E(x6681,x6682)+E(f34(f12(x6683,x6681,x6684,x6685,x6686),x6682),f34(x6683,x6682))
% 4.30/4.43 [694]~P45(f34(f34(f33(f42(x6945,x6941)),f22(x6944,x6942,x6945,x6941)),f24(x6946,x6943,x6945,x6941)))+P45(f34(f34(f33(x6941),x6942),f34(x6943,x6944)))
% 4.30/4.43 [693]~P45(f34(f34(f33(f42(x6931,x6934)),f22(x6932,x6935,x6931,x6934)),f24(x6933,x6936,x6931,x6934)))+P45(f34(f34(f33(x6931),x6932),x6933))
% 4.30/4.43 [703]E(x7031,x7032)+E(f12(f12(x7033,x7031,x7034,x7035,x7036),x7032,x7037,x7035,x7036),f12(f12(x7033,x7032,x7037,x7035,x7036),x7031,x7034,x7035,x7036))
% 4.30/4.43 [409]~P13(x4091)+E(f4(f3(x4091),f3(x4091),x4091),f3(x4091))+~P45(f34(f34(f27(x4091),f3(x4091)),f3(x4091)))
% 4.30/4.43 [711]P45(f34(f34(f27(a1),f34(a39,x7111)),x7111))+~P45(f34(f34(f14(a1),x7111),f5(f21(f38(a36,a2)),a36)))+~P45(f34(f34(f33(f42(a37,a37)),f22(a45,a46,a37,a37)),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),f4(x7111,f15(a1),a1)),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44))))
% 4.30/4.43 [714]~P45(f34(f34(f14(a1),x7141),f5(f21(f38(a36,a2)),a36)))+~P45(f34(f34(f33(f42(a37,a37)),f22(a45,a46,a37,a37)),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),f4(x7141,f15(a1),a1)),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44))))+~P45(f34(f34(f33(f42(a37,a37)),f22(a46,a45,a37,a37)),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),f34(a39,x7141)),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44))))
% 4.30/4.43 [252]~P25(x2522)+~E(f17(x2521,x2522),x2521)+E(x2521,f3(x2522))
% 4.30/4.43 [259]~P21(x2592)+~E(f17(x2591,x2592),f3(x2592))+E(x2591,f3(x2592))
% 4.30/4.43 [260]~P21(x2601)+~E(f17(x2602,x2601),f3(x2601))+E(f3(x2601),x2602)
% 4.30/4.43 [281]~P37(x2812)+E(f16(x2811,x2811,x2812),f15(x2812))+E(x2811,f3(x2812))
% 4.30/4.43 [305]~P22(x3052)+~E(f4(x3051,x3051,x3052),f3(x3052))+E(x3051,f3(x3052))
% 4.30/4.43 [287]~P39(x2872)+~P12(x2872)+E(f4(x2871,f3(x2872),x2872),x2871)
% 4.30/4.43 [292]~P37(x2922)+~P38(x2922)+E(f16(x2921,f3(x2922),x2922),f3(x2922))
% 4.30/4.43 [441]~P40(x4411)+P45(f34(f34(f14(x4411),x4412),f17(x4412,x4411)))+~P45(f34(f34(f14(x4411),x4412),f3(x4411)))
% 4.30/4.43 [442]~P22(x4421)+P45(f34(f34(f27(x4421),x4422),f17(x4422,x4421)))+~P45(f34(f34(f27(x4421),x4422),f3(x4421)))
% 4.30/4.43 [443]~P25(x4431)+P45(f34(f34(f27(x4431),x4432),f17(x4432,x4431)))+~P45(f34(f34(f27(x4431),x4432),f3(x4431)))
% 4.30/4.43 [448]~P40(x4481)+~P45(f34(f34(f14(x4481),x4482),f17(x4482,x4481)))+P45(f34(f34(f14(x4481),x4482),f3(x4481)))
% 4.30/4.43 [449]~P22(x4491)+~P45(f34(f34(f27(x4491),x4492),f17(x4492,x4491)))+P45(f34(f34(f27(x4491),x4492),f3(x4491)))
% 4.30/4.43 [450]~P25(x4501)+~P45(f34(f34(f27(x4501),x4502),f17(x4502,x4501)))+P45(f34(f34(f27(x4501),x4502),f3(x4501)))
% 4.30/4.43 [451]~P26(x4511)+~P45(f34(f34(f14(x4511),x4512),f3(x4511)))+P45(f34(f34(f14(x4511),f3(x4511)),f17(x4512,x4511)))
% 4.30/4.43 [452]~P26(x4521)+~P45(f34(f34(f27(x4521),x4522),f3(x4521)))+P45(f34(f34(f27(x4521),f3(x4521)),f17(x4522,x4521)))
% 4.30/4.43 [461]~P26(x4611)+~P45(f34(f34(f14(x4611),f3(x4611)),f17(x4612,x4611)))+P45(f34(f34(f14(x4611),x4612),f3(x4611)))
% 4.30/4.43 [462]~P26(x4621)+~P45(f34(f34(f27(x4621),f3(x4621)),f17(x4622,x4621)))+P45(f34(f34(f27(x4621),x4622),f3(x4621)))
% 4.30/4.43 [536]~P22(x5361)+~P45(f34(f34(f14(x5361),x5362),f3(x5361)))+P45(f34(f34(f14(x5361),f4(x5362,x5362,x5361)),f3(x5361)))
% 4.30/4.43 [537]~P40(x5371)+~P45(f34(f34(f14(x5371),x5372),f3(x5371)))+P45(f34(f34(f14(x5371),f4(x5372,x5372,x5371)),f3(x5371)))
% 4.30/4.43 [538]~P22(x5381)+~P45(f34(f34(f27(x5381),x5382),f3(x5381)))+P45(f34(f34(f27(x5381),f4(x5382,x5382,x5381)),f3(x5381)))
% 4.30/4.43 [596]~P22(x5961)+~P45(f34(f34(f14(x5961),f4(x5962,x5962,x5961)),f3(x5961)))+P45(f34(f34(f14(x5961),x5962),f3(x5961)))
% 4.30/4.43 [597]~P40(x5971)+~P45(f34(f34(f14(x5971),f4(x5972,x5972,x5971)),f3(x5971)))+P45(f34(f34(f14(x5971),x5972),f3(x5971)))
% 4.30/4.43 [598]~P22(x5981)+~P45(f34(f34(f27(x5981),f4(x5982,x5982,x5981)),f3(x5981)))+P45(f34(f34(f27(x5981),x5982),f3(x5981)))
% 4.30/4.43 [347]E(x3471,x3472)+P45(f34(f34(f14(a1),x3472),x3471))+P45(f34(f34(f14(a1),x3471),x3472))
% 4.30/4.43 [377]E(x3771,x3772)+P45(f34(f34(f14(a1),x3771),x3772))+~P45(f34(f34(f27(a1),x3771),x3772))
% 4.30/4.43 [402]E(x4021,x4022)+~P45(f34(f34(f27(a1),x4022),x4021))+~P45(f34(f34(f27(a1),x4021),x4022))
% 4.30/4.43 [467]~P22(x4671)+~P45(f34(f34(f27(x4671),f3(x4671)),x4672))+P45(f34(f34(f27(x4671),f17(x4672,x4671)),x4672))
% 4.30/4.43 [468]~P25(x4681)+~P45(f34(f34(f27(x4681),f3(x4681)),x4682))+P45(f34(f34(f27(x4681),f17(x4682,x4681)),x4682))
% 4.30/4.43 [473]~P26(x4731)+P45(f34(f34(f14(x4731),f17(x4732,x4731)),f3(x4731)))+~P45(f34(f34(f14(x4731),f3(x4731)),x4732))
% 4.30/4.43 [474]~P26(x4741)+P45(f34(f34(f27(x4741),f17(x4742,x4741)),f3(x4741)))+~P45(f34(f34(f27(x4741),f3(x4741)),x4742))
% 4.30/4.43 [497]~P22(x4971)+~P45(f34(f34(f27(x4971),f17(x4972,x4971)),x4972))+P45(f34(f34(f27(x4971),f3(x4971)),x4972))
% 4.30/4.43 [498]~P25(x4981)+~P45(f34(f34(f27(x4981),f17(x4982,x4981)),x4982))+P45(f34(f34(f27(x4981),f3(x4981)),x4982))
% 4.30/4.43 [501]~P26(x5011)+~P45(f34(f34(f14(x5011),f17(x5012,x5011)),f3(x5011)))+P45(f34(f34(f14(x5011),f3(x5011)),x5012))
% 4.30/4.43 [502]~P26(x5021)+~P45(f34(f34(f27(x5021),f17(x5022,x5021)),f3(x5021)))+P45(f34(f34(f27(x5021),f3(x5021)),x5022))
% 4.30/4.43 [513]~P22(x5131)+P45(f34(f34(f14(x5131),f3(x5131)),f4(x5132,x5132,x5131)))+~P45(f34(f34(f14(x5131),f3(x5131)),x5132))
% 4.30/4.43 [515]~P22(x5151)+P45(f34(f34(f27(x5151),f3(x5151)),f4(x5152,x5152,x5151)))+~P45(f34(f34(f27(x5151),f3(x5151)),x5152))
% 4.30/4.43 [521]~P22(x5211)+~P45(f34(f34(f14(x5211),f3(x5211)),f4(x5212,x5212,x5211)))+P45(f34(f34(f14(x5211),f3(x5211)),x5212))
% 4.30/4.43 [522]~P22(x5221)+~P45(f34(f34(f27(x5221),f3(x5221)),f4(x5222,x5222,x5221)))+P45(f34(f34(f27(x5221),f3(x5221)),x5222))
% 4.30/4.43 [524]~P45(f34(f34(f14(a1),f3(a1)),f4(x5241,x5242,a1)))+P45(f34(f34(f14(a1),f3(a1)),x5242))+P45(f34(f34(f14(a1),f3(a1)),x5241))
% 4.30/4.43 [266]~P21(x2663)+E(x2661,x2662)+~E(f17(x2661,x2663),f17(x2662,x2663))
% 4.30/4.43 [267]~P2(x2673)+E(x2671,x2672)+~E(f17(x2671,x2673),f17(x2672,x2673))
% 4.30/4.43 [306]~P43(x3062)+~E(f23(x3061,x3063,x3062),f3(x3062))+E(x3061,f3(x3062))
% 4.30/4.43 [312]~P21(x3123)+~E(f4(x3121,x3122,x3123),f3(x3123))+E(x3121,f17(x3122,x3123))
% 4.30/4.43 [313]~P21(x3132)+~E(f4(x3131,x3133,x3132),f3(x3132))+E(f17(x3131,x3132),x3133)
% 4.30/4.43 [335]~P37(x3352)+E(x3351,f3(x3352))+E(f16(f17(x3353,x3352),f17(x3351,x3352),x3352),f16(x3353,x3351,x3352))
% 4.30/4.43 [339]~P37(x3392)+~P38(x3392)+E(f16(f17(x3391,x3392),f17(x3393,x3392),x3392),f16(x3391,x3393,x3392))
% 4.30/4.43 [352]~P37(x3522)+E(x3521,f3(x3522))+E(f16(x3523,f17(x3521,x3522),x3522),f17(f16(x3523,x3521,x3522),x3522))
% 4.30/4.43 [353]~P37(x3533)+~P38(x3533)+E(f16(x3531,f17(x3532,x3533),x3533),f17(f16(x3531,x3532,x3533),x3533))
% 4.30/4.43 [447]P8(x4471,x4472,x4473)+~P8(x4471,f4(x4472,f15(a1),a1),x4473)+~P45(f34(x4471,x4472))
% 4.30/4.43 [464]~P26(x4641)+~P45(f34(f34(f14(x4641),x4643),f17(x4642,x4641)))+P45(f34(f34(f14(x4641),x4642),f17(x4643,x4641)))
% 4.30/4.43 [466]~P26(x4661)+~P45(f34(f34(f27(x4661),x4663),f17(x4662,x4661)))+P45(f34(f34(f27(x4661),x4662),f17(x4663,x4661)))
% 4.30/4.43 [558]~P22(x5581)+~P45(f34(f34(f27(x5581),x5582),f17(x5583,x5581)))+P45(f34(f34(f27(x5581),f4(x5582,x5583,x5581)),f3(x5581)))
% 4.30/4.43 [604]~P22(x6041)+~P45(f34(f34(f27(x6041),f4(x6042,x6043,x6041)),f3(x6041)))+P45(f34(f34(f27(x6041),x6042),f17(x6043,x6041)))
% 4.30/4.43 [360]~P32(x3601)+P45(f34(f34(f27(x3601),x3603),x3602))+P45(f34(f34(f14(x3601),x3602),x3603))
% 4.30/4.43 [362]~P32(x3621)+P45(f34(f34(f27(x3621),x3623),x3622))+P45(f34(f34(f27(x3621),x3622),x3623))
% 4.30/4.43 [387]~P8(x3871,x3872,x3873)+P45(f34(x3871,x3872))+~P45(f34(f34(f14(a1),x3872),x3873))
% 4.30/4.43 [390]~P30(x3901)+~P45(f34(f34(f14(x3901),x3902),x3903))+P45(f34(f34(f27(x3901),x3902),x3903))
% 4.30/4.43 [391]~P31(x3911)+~P45(f34(f34(f14(x3911),x3912),x3913))+P45(f34(f34(f27(x3911),x3912),x3913))
% 4.30/4.43 [420]~P30(x4201)+~P45(f34(f34(f14(x4201),x4203),x4202))+~P45(f34(f34(f14(x4201),x4202),x4203))
% 4.30/4.43 [421]~P30(x4211)+~P45(f34(f34(f27(x4211),x4213),x4212))+~P45(f34(f34(f14(x4211),x4212),x4213))
% 4.30/4.43 [422]~P31(x4221)+~P45(f34(f34(f14(x4221),x4223),x4222))+~P45(f34(f34(f14(x4221),x4222),x4223))
% 4.30/4.43 [423]~P32(x4231)+~P45(f34(f34(f14(x4231),x4233),x4232))+~P45(f34(f34(f14(x4231),x4232),x4233))
% 4.30/4.43 [425]~P32(x4251)+~P45(f34(f34(f27(x4251),x4253),x4252))+~P45(f34(f34(f14(x4251),x4252),x4253))
% 4.30/4.43 [444]~P37(x4441)+~P38(x4441)+E(f23(f16(f15(x4441),x4442,x4441),x4443,x4441),f16(f15(x4441),f23(x4442,x4443,x4441),x4441))
% 4.30/4.43 [457]~P45(f34(f34(f27(a1),x4571),x4573))+P45(f34(f34(f27(a1),x4571),x4572))+~P45(f34(f34(f27(a1),x4573),x4572))
% 4.30/4.43 [476]~P26(x4761)+P45(f34(f34(f14(x4761),f17(x4762,x4761)),f17(x4763,x4761)))+~P45(f34(f34(f14(x4761),x4763),x4762))
% 4.30/4.43 [477]~P26(x4771)+P45(f34(f34(f27(x4771),f17(x4772,x4771)),f17(x4773,x4771)))+~P45(f34(f34(f27(x4771),x4773),x4772))
% 4.30/4.43 [506]~P26(x5061)+~P45(f34(f34(f14(x5061),f17(x5063,x5061)),f17(x5062,x5061)))+P45(f34(f34(f14(x5061),x5062),x5063))
% 4.30/4.43 [507]~P26(x5071)+~P45(f34(f34(f27(x5071),f17(x5073,x5071)),f17(x5072,x5071)))+P45(f34(f34(f27(x5071),x5072),x5073))
% 4.30/4.43 [510]~P26(x5101)+~P45(f34(f34(f14(x5101),f17(x5103,x5101)),x5102))+P45(f34(f34(f14(x5101),f17(x5102,x5101)),x5103))
% 4.30/4.43 [512]~P26(x5121)+~P45(f34(f34(f27(x5121),f17(x5123,x5121)),x5122))+P45(f34(f34(f27(x5121),f17(x5122,x5121)),x5123))
% 4.30/4.43 [514]~P28(x5141)+P45(f34(f34(f14(x5141),f3(x5141)),f23(x5142,x5143,x5141)))+~P45(f34(f34(f14(x5141),f3(x5141)),x5142))
% 4.30/4.43 [516]~P28(x5161)+P45(f34(f34(f27(x5161),f3(x5161)),f23(x5162,x5163,x5161)))+~P45(f34(f34(f27(x5161),f3(x5161)),x5162))
% 4.30/4.43 [517]~P28(x5171)+P45(f34(f34(f27(x5171),f15(x5171)),f23(x5172,x5173,x5171)))+~P45(f34(f34(f27(x5171),f15(x5171)),x5172))
% 4.30/4.43 [649]~P41(x6491)+~P45(f34(f34(f14(x6491),x6492),x6493))+P45(f34(f34(f14(x6491),x6492),f16(f4(x6492,x6493,x6491),f4(f15(x6491),f15(x6491),x6491),x6491)))
% 4.30/4.43 [672]~P41(x6721)+~P45(f34(f34(f14(x6721),x6722),x6723))+P45(f34(f34(f14(x6721),f16(f4(x6722,x6723,x6721),f4(f15(x6721),f15(x6721),x6721),x6721)),x6723))
% 4.30/4.43 [704]~P45(f34(f34(f33(f42(a37,a37)),f22(x7043,x7042,a37,a37)),x7041))+~P45(f34(f34(f33(f42(a37,a37)),f22(x7042,x7043,a37,a37)),x7041))+~P45(f34(f34(f33(f38(f42(a37,a37),a2)),x7041),a9))
% 4.30/4.43 [341]~P18(x3414)+E(x3411,x3412)+~E(f4(x3413,x3411,x3414),f4(x3413,x3412,x3414))
% 4.30/4.43 [342]~P19(x3424)+E(x3421,x3422)+~E(f4(x3423,x3421,x3424),f4(x3423,x3422,x3424))
% 4.30/4.43 [343]~P19(x3434)+E(x3431,x3432)+~E(f4(x3431,x3433,x3434),f4(x3432,x3433,x3434))
% 4.30/4.43 [389]~P17(x3893)+E(x3891,f17(x3892,x3893))+~E(f4(x3891,f4(x3894,x3892,x3893),x3893),x3894)
% 4.30/4.43 [478]~P37(x4782)+E(x4781,f3(x4782))+E(f16(f23(x4783,x4784,x4782),f23(x4781,x4784,x4782),x4782),f23(f16(x4783,x4781,x4782),x4784,x4782))
% 4.30/4.43 [479]~P37(x4793)+~P38(x4793)+E(f16(f23(x4791,x4792,x4793),f23(x4794,x4792,x4793),x4793),f23(f16(x4791,x4794,x4793),x4792,x4793))
% 4.30/4.43 [460]~E(f4(x4601,x4603,a1),f4(x4604,x4602,a1))+~P45(f34(f34(f14(a1),x4604),x4603))+P45(f34(f34(f14(a1),x4601),x4602))
% 4.30/4.43 [576]~P14(x5761)+P45(f34(f34(f14(x5761),f4(x5762,x5763,x5761)),f4(x5764,x5763,x5761)))+~P45(f34(f34(f14(x5761),x5762),x5764))
% 4.30/4.43 [577]~P27(x5771)+P45(f34(f34(f14(x5771),f4(x5772,x5773,x5771)),f4(x5774,x5773,x5771)))+~P45(f34(f34(f14(x5771),x5772),x5774))
% 4.30/4.43 [578]~P14(x5781)+P45(f34(f34(f14(x5781),f4(x5782,x5783,x5781)),f4(x5782,x5784,x5781)))+~P45(f34(f34(f14(x5781),x5783),x5784))
% 4.30/4.43 [579]~P27(x5791)+P45(f34(f34(f14(x5791),f4(x5792,x5793,x5791)),f4(x5792,x5794,x5791)))+~P45(f34(f34(f14(x5791),x5793),x5794))
% 4.30/4.43 [580]~P14(x5801)+P45(f34(f34(f27(x5801),f4(x5802,x5803,x5801)),f4(x5804,x5803,x5801)))+~P45(f34(f34(f27(x5801),x5802),x5804))
% 4.30/4.43 [581]~P24(x5811)+P45(f34(f34(f27(x5811),f4(x5812,x5813,x5811)),f4(x5814,x5813,x5811)))+~P45(f34(f34(f27(x5811),x5812),x5814))
% 4.30/4.43 [582]~P14(x5821)+P45(f34(f34(f27(x5821),f4(x5822,x5823,x5821)),f4(x5822,x5824,x5821)))+~P45(f34(f34(f27(x5821),x5823),x5824))
% 4.30/4.43 [583]~P24(x5831)+P45(f34(f34(f27(x5831),f4(x5832,x5833,x5831)),f4(x5832,x5834,x5831)))+~P45(f34(f34(f27(x5831),x5833),x5834))
% 4.30/4.43 [602]P45(f34(f34(f14(a1),f4(x6021,x6022,a1)),f4(x6023,x6024,a1)))+~P45(f34(f34(f14(a1),x6022),x6024))+~P45(f34(f34(f14(a1),x6021),x6023))
% 4.30/4.43 [603]P45(f34(f34(f27(a1),f4(x6031,x6032,a1)),f4(x6033,x6034,a1)))+~P45(f34(f34(f27(a1),x6032),x6034))+~P45(f34(f34(f27(a1),x6031),x6033))
% 4.30/4.43 [639]~P14(x6391)+~P45(f34(f34(f14(x6391),f4(x6394,x6392,x6391)),f4(x6394,x6393,x6391)))+P45(f34(f34(f14(x6391),x6392),x6393))
% 4.30/4.43 [640]~P14(x6401)+~P45(f34(f34(f14(x6401),f4(x6402,x6404,x6401)),f4(x6403,x6404,x6401)))+P45(f34(f34(f14(x6401),x6402),x6403))
% 4.30/4.43 [641]~P14(x6411)+~P45(f34(f34(f27(x6411),f4(x6414,x6412,x6411)),f4(x6414,x6413,x6411)))+P45(f34(f34(f27(x6411),x6412),x6413))
% 4.30/4.43 [642]~P14(x6421)+~P45(f34(f34(f27(x6421),f4(x6422,x6424,x6421)),f4(x6423,x6424,x6421)))+P45(f34(f34(f27(x6421),x6422),x6423))
% 4.30/4.43 [671]~P4(x6714,x6713,x6711)+~P45(f34(f34(f33(x6711),x6712),x6714))+P45(f34(f34(f33(f42(x6711,x6711)),f22(x6712,x6712,x6711,x6711)),x6713))
% 4.30/4.43 [689]P45(f34(f34(f33(x6891),x6892),f31(x6893,x6891)))+~P45(f34(f34(f33(x6891),x6894),f31(x6893,x6891)))+~P45(f34(f34(f33(f42(x6891,x6891)),f22(x6892,x6894,x6891,x6891)),x6893))
% 4.30/4.43 [700]E(x7001,x7002)+~P45(f34(f34(f33(f42(a37,a37)),f22(x7003,x7001,a37,a37)),f11(x7004,x7002)))+P45(f34(f34(f33(f42(a37,a37)),f22(x7003,x7001,a37,a37)),x7004))
% 4.30/4.43 [701]E(x7011,x7012)+~P45(f34(f34(f33(f42(a37,a37)),f22(x7011,x7013,a37,a37)),f10(x7014,x7012)))+P45(f34(f34(f33(f42(a37,a37)),f22(x7011,x7013,a37,a37)),x7014))
% 4.30/4.43 [380]~P10(x3804,x3801,x3805)+P45(f34(f34(x3801,x3802),x3803))+P45(f34(f34(x3804,x3803),x3802))
% 4.30/4.43 [382]~P10(x3821,x3824,x3825)+P45(f34(f34(x3821,x3823),x3822))+P45(f34(f34(x3821,x3822),x3823))
% 4.30/4.43 [400]~P9(x4001,x4004,x4005)+~P45(f34(f34(x4004,x4002),x4003))+P45(f34(f34(x4001,x4002),x4003))
% 4.30/4.43 [401]~P7(x4011,x4014,x4015)+~P45(f34(f34(x4014,x4012),x4013))+P45(f34(f34(x4011,x4012),x4013))
% 4.30/4.43 [431]~P7(x4311,x4312,x4313)+~P45(f34(f34(x4312,x4315),x4314))+~P45(f34(f34(x4312,x4314),x4315))
% 4.30/4.43 [432]~P7(x4321,x4322,x4323)+~P45(f34(f34(x4321,x4325),x4324))+~P45(f34(f34(x4322,x4324),x4325))
% 4.30/4.43 [434]~P10(x4341,x4342,x4343)+~P45(f34(f34(x4342,x4345),x4344))+~P45(f34(f34(x4342,x4344),x4345))
% 4.30/4.43 [435]~P10(x4351,x4352,x4353)+~P45(f34(f34(x4351,x4355),x4354))+~P45(f34(f34(x4352,x4354),x4355))
% 4.30/4.43 [459]~P17(x4593)+E(f4(x4591,x4592,x4593),x4594)+~E(f4(x4591,f4(x4595,x4592,x4593),x4593),f4(x4595,x4594,x4593))
% 4.30/4.43 [505]E(x5051,x5052)+~E(f34(x5053,x5051),f34(x5053,x5052))+~P5(x5053,f21(f38(x5054,a2)),x5054,x5055)
% 4.30/4.43 [679]~P4(x6793,x6794,x6791)+~P45(f34(f34(f33(f42(x6791,x6791)),f22(x6795,x6792,x6791,x6791)),x6794))+P45(f34(f34(f33(x6791),x6792),x6793))
% 4.30/4.43 [680]~P4(x6803,x6804,x6801)+~P45(f34(f34(f33(f42(x6801,x6801)),f22(x6802,x6805,x6801,x6801)),x6804))+P45(f34(f34(f33(x6801),x6802),x6803))
% 4.30/4.43 [681]~P6(x6813,x6814,x6811)+~P45(f34(f34(f33(f42(x6811,x6811)),f22(x6815,x6812,x6811,x6811)),x6814))+P45(f34(f34(f33(x6811),x6812),x6813))
% 4.30/4.43 [682]~P6(x6823,x6824,x6821)+~P45(f34(f34(f33(f42(x6821,x6821)),f22(x6822,x6825,x6821,x6821)),x6824))+P45(f34(f34(f33(x6821),x6822),x6823))
% 4.30/4.43 [702]P45(f34(f34(f33(f42(x7021,x7021)),f22(x7022,x7023,x7021,x7021)),f32(x7024,x7025,x7021)))+~P45(f34(f34(f27(a1),f34(x7024,x7022)),f34(x7024,x7023)))+~P45(f34(f34(f33(f42(x7021,x7021)),f22(x7022,x7023,x7021,x7021)),x7025))
% 4.30/4.43 [677]~P45(f34(f34(f33(x6772),x6774),f34(x6776,x6773)))+P45(f34(f34(f33(f42(x6771,x6772)),f22(x6773,x6774,x6771,x6772)),f24(x6775,x6776,x6771,x6772)))+~P45(f34(f34(f33(x6771),x6773),x6775))
% 4.30/4.43 [691]P45(f34(f34(f33(x6911),x6912),f26(x6913,x6914,x6915,x6911)))+~P45(f34(f34(f33(f42(x6915,x6911)),f22(x6916,x6912,x6915,x6911)),x6913))+~P45(f34(f34(f33(x6915),x6916),x6914))
% 4.30/4.43 [706]P45(f34(f34(f33(x7061),x7065),x7066))+P45(f34(f34(f33(x7061),x7064),x7066))+E(f29(f34(f6(f34(f6(f7(f13(x7061),f34(f6(f33(x7062),x7062,f38(x7062,a2),a2),x7063),a2,f38(x7061,f38(x7061,x7061)),x7062),x7062,x7061,f38(x7061,x7061)),x7064),x7062,x7061,x7061),x7065),x7066,x7062,x7061),f18(f38(x7062,a2)))
% 4.30/4.43 [707]P45(f34(f34(f33(x7071),x7075),x7076))+~P45(f34(f34(f33(x7071),x7074),x7076))+E(f29(f34(f6(f34(f6(f7(f13(x7071),f34(f6(f33(x7072),x7072,f38(x7072,a2),a2),x7073),a2,f38(x7071,f38(x7071,x7071)),x7072),x7072,x7071,f38(x7071,x7071)),x7074),x7072,x7071,x7071),x7075),x7076,x7072,x7071),x7073)
% 4.30/4.43 [708]P45(f34(f34(f33(x7081),x7084),x7086))+~P45(f34(f34(f33(x7081),x7085),x7086))+E(f29(f34(f6(f34(f6(f7(f13(x7081),f34(f6(f33(x7082),x7082,f38(x7082,a2),a2),x7083),a2,f38(x7081,f38(x7081,x7081)),x7082),x7082,x7081,f38(x7081,x7081)),x7084),x7082,x7081,x7081),x7085),x7086,x7082,x7081),f17(x7083,f38(x7082,a2)))
% 4.30/4.43 [709]~P45(f34(f34(f33(x7091),x7095),x7096))+~P45(f34(f34(f33(x7091),x7094),x7096))+E(f29(f34(f6(f34(f6(f7(f13(x7091),f34(f6(f33(x7092),x7092,f38(x7092,a2),a2),x7093),a2,f38(x7091,f38(x7091,x7091)),x7092),x7092,x7091,f38(x7091,x7091)),x7094),x7092,x7091,x7091),x7095),x7096,x7092,x7091),f21(f38(x7092,a2)))
% 4.30/4.43 [294]~P42(x2942)+~P29(x2942)+E(x2941,f3(a1))+E(f23(f3(x2942),x2941,x2942),f3(x2942))
% 4.30/4.43 [556]~P38(x5561)+~P41(x5561)+~P45(f34(f34(f14(x5561),x5562),f3(x5561)))+P45(f34(f34(f14(x5561),f16(f15(x5561),x5562,x5561)),f3(x5561)))
% 4.30/4.43 [557]~P38(x5571)+~P41(x5571)+~P45(f34(f34(f27(x5571),x5572),f3(x5571)))+P45(f34(f34(f27(x5571),f16(f15(x5571),x5572,x5571)),f3(x5571)))
% 4.30/4.43 [608]~P38(x6081)+~P41(x6081)+~P45(f34(f34(f14(x6081),f16(f15(x6081),x6082,x6081)),f3(x6081)))+P45(f34(f34(f14(x6081),x6082),f3(x6081)))
% 4.30/4.43 [609]~P38(x6091)+~P41(x6091)+~P45(f34(f34(f27(x6091),f16(f15(x6091),x6092,x6091)),f3(x6091)))+P45(f34(f34(f27(x6091),x6092),f3(x6091)))
% 4.30/4.43 [519]~P38(x5191)+~P41(x5191)+~P45(f34(f34(f14(x5191),f3(x5191)),x5192))+P45(f34(f34(f14(x5191),f3(x5191)),f16(f15(x5191),x5192,x5191)))
% 4.30/4.43 [520]~P38(x5201)+~P41(x5201)+~P45(f34(f34(f27(x5201),f3(x5201)),x5202))+P45(f34(f34(f27(x5201),f3(x5201)),f16(f15(x5201),x5202,x5201)))
% 4.30/4.43 [529]~P38(x5291)+~P41(x5291)+~P45(f34(f34(f14(x5291),f3(x5291)),f16(f15(x5291),x5292,x5291)))+P45(f34(f34(f14(x5291),f3(x5291)),x5292))
% 4.30/4.43 [530]~P38(x5301)+~P41(x5301)+~P45(f34(f34(f27(x5301),f3(x5301)),f16(f15(x5301),x5302,x5301)))+P45(f34(f34(f27(x5301),f3(x5301)),x5302))
% 4.30/4.43 [307]~P37(x3073)+E(x3071,x3072)+~E(f16(x3071,x3072,x3073),f15(x3073))+E(x3072,f3(x3073))
% 4.30/4.43 [308]~P39(x3082)+~P12(x3082)+~E(f4(x3083,x3081,x3082),x3083)+E(x3081,f3(x3082))
% 4.30/4.43 [531]~P41(x5311)+~P45(f34(f34(f14(x5311),x5313),f3(x5311)))+~P45(f34(f34(f14(x5311),x5312),f3(x5311)))+P45(f34(f34(f14(x5311),f3(x5311)),f16(x5312,x5313,x5311)))
% 4.30/4.43 [532]~P41(x5321)+~P45(f34(f34(f14(x5321),x5323),f3(x5321)))+~P45(f34(f34(f27(x5321),x5322),f3(x5321)))+P45(f34(f34(f27(x5321),f3(x5321)),f16(x5322,x5323,x5321)))
% 4.30/4.43 [584]~P13(x5841)+~P45(f34(f34(f14(x5841),x5843),f3(x5841)))+~P45(f34(f34(f14(x5841),x5842),f3(x5841)))+P45(f34(f34(f14(x5841),f4(x5842,x5843,x5841)),f3(x5841)))
% 4.30/4.43 [585]~P13(x5851)+~P45(f34(f34(f27(x5851),x5852),f3(x5851)))+~P45(f34(f34(f14(x5851),x5853),f3(x5851)))+P45(f34(f34(f14(x5851),f4(x5852,x5853,x5851)),f3(x5851)))
% 4.30/4.43 [586]~P13(x5861)+~P45(f34(f34(f27(x5861),x5863),f3(x5861)))+~P45(f34(f34(f14(x5861),x5862),f3(x5861)))+P45(f34(f34(f14(x5861),f4(x5862,x5863,x5861)),f3(x5861)))
% 4.30/4.43 [587]~P13(x5871)+~P45(f34(f34(f27(x5871),x5873),f3(x5871)))+~P45(f34(f34(f27(x5871),x5872),f3(x5871)))+P45(f34(f34(f27(x5871),f4(x5872,x5873,x5871)),f3(x5871)))
% 4.30/4.43 [364]~P40(x3643)+E(x3641,x3642)+P45(f34(f34(f14(x3643),x3642),x3641))+P45(f34(f34(f14(x3643),x3641),x3642))
% 4.30/4.43 [368]~P32(x3683)+E(x3681,x3682)+P45(f34(f34(f14(x3683),x3682),x3681))+P45(f34(f34(f14(x3683),x3681),x3682))
% 4.30/4.43 [397]~P31(x3973)+E(x3971,x3972)+~P45(f34(f34(f27(x3973),x3971),x3972))+P45(f34(f34(f14(x3973),x3971),x3972))
% 4.30/4.43 [399]~P32(x3993)+E(x3991,x3992)+~P45(f34(f34(f27(x3993),x3991),x3992))+P45(f34(f34(f14(x3993),x3991),x3992))
% 4.30/4.43 [429]E(x4291,x4292)+~P31(x4293)+~P45(f34(f34(f27(x4293),x4292),x4291))+~P45(f34(f34(f27(x4293),x4291),x4292))
% 4.30/4.43 [456]~P30(x4561)+P45(f34(f34(f27(x4561),x4563),x4562))+~P45(f34(f34(f27(x4561),x4562),x4563))+P45(f34(f34(f14(x4561),x4562),x4563))
% 4.30/4.43 [480]~P8(x4801,x4802,x4803)+P8(x4801,f4(x4802,f15(a1),a1),x4803)+~P45(f34(x4801,x4802))+~P45(f34(f34(f14(a1),x4802),x4803))
% 4.30/4.43 [533]~P28(x5331)+P45(f34(f34(f14(x5331),f15(x5331)),f23(x5332,x5333,x5331)))+~P45(f34(f34(f14(x5331),f15(x5331)),x5332))+~P45(f34(f34(f14(a1),f3(a1)),x5333))
% 4.30/4.43 [540]~P13(x5401)+P45(f34(f34(f14(x5401),f3(x5401)),f4(x5402,x5403,x5401)))+~P45(f34(f34(f14(x5401),f3(x5401)),x5403))+~P45(f34(f34(f14(x5401),f3(x5401)),x5402))
% 4.30/4.43 [541]~P13(x5411)+P45(f34(f34(f14(x5411),f3(x5411)),f4(x5412,x5413,x5411)))+~P45(f34(f34(f27(x5411),f3(x5411)),x5412))+~P45(f34(f34(f14(x5411),f3(x5411)),x5413))
% 4.30/4.43 [542]~P13(x5421)+P45(f34(f34(f14(x5421),f3(x5421)),f4(x5422,x5423,x5421)))+~P45(f34(f34(f27(x5421),f3(x5421)),x5423))+~P45(f34(f34(f14(x5421),f3(x5421)),x5422))
% 4.30/4.43 [543]~P41(x5431)+P45(f34(f34(f14(x5431),f3(x5431)),f16(x5432,x5433,x5431)))+~P45(f34(f34(f14(x5431),f3(x5431)),x5433))+~P45(f34(f34(f14(x5431),f3(x5431)),x5432))
% 4.30/4.43 [544]~P13(x5441)+P45(f34(f34(f27(x5441),f3(x5441)),f4(x5442,x5443,x5441)))+~P45(f34(f34(f27(x5441),f3(x5441)),x5443))+~P45(f34(f34(f27(x5441),f3(x5441)),x5442))
% 4.30/4.43 [545]~P41(x5451)+P45(f34(f34(f27(x5451),f3(x5451)),f16(x5452,x5453,x5451)))+~P45(f34(f34(f14(x5451),f3(x5451)),x5453))+~P45(f34(f34(f27(x5451),f3(x5451)),x5452))
% 4.30/4.43 [588]~P41(x5881)+~P45(f34(f34(f14(x5881),x5883),f3(x5881)))+P45(f34(f34(f14(x5881),f16(x5882,x5883,x5881)),f3(x5881)))+~P45(f34(f34(f14(x5881),f3(x5881)),x5882))
% 4.30/4.43 [589]~P41(x5891)+~P45(f34(f34(f14(x5891),x5892),f3(x5891)))+P45(f34(f34(f14(x5891),f16(x5892,x5893,x5891)),f3(x5891)))+~P45(f34(f34(f14(x5891),f3(x5891)),x5893))
% 4.30/4.43 [590]~P41(x5901)+~P45(f34(f34(f14(x5901),x5903),f3(x5901)))+P45(f34(f34(f27(x5901),f16(x5902,x5903,x5901)),f3(x5901)))+~P45(f34(f34(f27(x5901),f3(x5901)),x5902))
% 4.30/4.43 [591]~P41(x5911)+~P45(f34(f34(f27(x5911),x5912),f3(x5911)))+P45(f34(f34(f27(x5911),f16(x5912,x5913,x5911)),f3(x5911)))+~P45(f34(f34(f14(x5911),f3(x5911)),x5913))
% 4.30/4.43 [695]E(x6951,x6952)+P45(f34(f34(f33(f42(a37,a37)),f22(x6951,x6952,a37,a37)),x6953))+P45(f34(f34(f33(f42(a37,a37)),f22(x6952,x6951,a37,a37)),x6953))+~P45(f34(f34(f33(f38(f42(a37,a37),a2)),x6953),a9))
% 4.30/4.43 [344]~P39(x3444)+~P12(x3444)+E(x3441,x3442)+~E(f4(x3443,x3441,x3444),f4(x3443,x3442,x3444))
% 4.30/4.43 [455]~P28(x4554)+E(x4551,x4552)+~E(f23(x4553,x4551,x4554),f23(x4553,x4552,x4554))+~P45(f34(f34(f14(x4554),f15(x4554)),x4553))
% 4.30/4.43 [481]~P30(x4811)+~P45(f34(f34(f14(x4811),x4812),x4814))+P45(f34(f34(f14(x4811),x4812),x4813))+~P45(f34(f34(f14(x4811),x4814),x4813))
% 4.30/4.43 [482]~P30(x4821)+~P45(f34(f34(f27(x4821),x4822),x4824))+P45(f34(f34(f14(x4821),x4822),x4823))+~P45(f34(f34(f14(x4821),x4824),x4823))
% 4.30/4.43 [483]~P30(x4831)+~P45(f34(f34(f27(x4831),x4834),x4833))+P45(f34(f34(f14(x4831),x4832),x4833))+~P45(f34(f34(f14(x4831),x4832),x4834))
% 4.30/4.43 [484]~P31(x4841)+~P45(f34(f34(f14(x4841),x4842),x4844))+P45(f34(f34(f14(x4841),x4842),x4843))+~P45(f34(f34(f14(x4841),x4844),x4843))
% 4.30/4.43 [485]~P31(x4851)+~P45(f34(f34(f27(x4851),x4852),x4854))+P45(f34(f34(f14(x4851),x4852),x4853))+~P45(f34(f34(f14(x4851),x4854),x4853))
% 4.30/4.43 [486]~P31(x4861)+~P45(f34(f34(f27(x4861),x4864),x4863))+P45(f34(f34(f14(x4861),x4862),x4863))+~P45(f34(f34(f14(x4861),x4862),x4864))
% 4.30/4.43 [487]~P30(x4871)+~P45(f34(f34(f27(x4871),x4872),x4874))+P45(f34(f34(f27(x4871),x4872),x4873))+~P45(f34(f34(f27(x4871),x4874),x4873))
% 4.30/4.43 [488]~P31(x4881)+~P45(f34(f34(f27(x4881),x4882),x4884))+P45(f34(f34(f27(x4881),x4882),x4883))+~P45(f34(f34(f27(x4881),x4884),x4883))
% 4.30/4.43 [523]~P28(x5231)+P45(f34(f34(f14(x5231),x5232),f4(x5233,x5234,x5231)))+~P45(f34(f34(f14(x5231),f3(x5231)),x5233))+~P45(f34(f34(f14(x5231),x5232),x5234))
% 4.30/4.43 [614]~P41(x6141)+~P45(f34(f34(f14(x6141),x6143),f3(x6141)))+P45(f34(f34(f14(x6141),f16(x6142,x6143,x6141)),f16(x6144,x6143,x6141)))+~P45(f34(f34(f14(x6141),x6144),x6142))
% 4.30/4.43 [616]~P28(x6161)+P45(f34(f34(f14(x6161),f23(x6162,x6163,x6161)),f23(x6162,x6164,x6161)))+~P45(f34(f34(f14(x6161),f15(x6161)),x6162))+~P45(f34(f34(f14(a1),x6163),x6164))
% 4.30/4.43 [617]~P28(x6171)+P45(f34(f34(f27(x6171),f23(x6172,x6173,x6171)),f23(x6172,x6174,x6171)))+~P45(f34(f34(f14(x6171),f15(x6171)),x6172))+~P45(f34(f34(f27(a1),x6173),x6174))
% 4.30/4.43 [618]~P28(x6181)+P45(f34(f34(f27(x6181),f23(x6182,x6183,x6181)),f23(x6182,x6184,x6181)))+~P45(f34(f34(f27(x6181),f15(x6181)),x6182))+~P45(f34(f34(f27(a1),x6183),x6184))
% 4.30/4.43 [629]~P41(x6291)+P45(f34(f34(f14(x6291),f16(x6292,x6293,x6291)),f16(x6294,x6293,x6291)))+~P45(f34(f34(f14(x6291),x6292),x6294))+~P45(f34(f34(f14(x6291),f3(x6291)),x6293))
% 4.30/4.43 [630]~P28(x6301)+P45(f34(f34(f27(x6301),f23(x6302,x6303,x6301)),f23(x6304,x6303,x6301)))+~P45(f34(f34(f27(x6301),x6302),x6304))+~P45(f34(f34(f27(x6301),f3(x6301)),x6302))
% 4.30/4.43 [651]~P28(x6513)+~P45(f34(f34(f14(x6513),f23(x6514,x6511,x6513)),f23(x6514,x6512,x6513)))+~P45(f34(f34(f14(x6513),f15(x6513)),x6514))+P45(f34(f34(f14(a1),x6511),x6512))
% 4.30/4.43 [653]~P28(x6533)+~P45(f34(f34(f27(x6533),f23(x6534,x6531,x6533)),f23(x6534,x6532,x6533)))+~P45(f34(f34(f14(x6533),f15(x6533)),x6534))+P45(f34(f34(f27(a1),x6531),x6532))
% 4.30/4.43 [654]~P28(x6541)+~P45(f34(f34(f14(x6541),f23(x6542,x6544,x6541)),f23(x6543,x6544,x6541)))+~P45(f34(f34(f27(x6541),f3(x6541)),x6543))+P45(f34(f34(f14(x6541),x6542),x6543))
% 4.30/4.43 [696]E(x6961,x6962)+E(x6963,x6962)+P45(f34(f34(f33(f42(a37,a37)),f22(x6963,x6961,a37,a37)),f10(x6964,x6962)))+~P45(f34(f34(f33(f42(a37,a37)),f22(x6963,x6961,a37,a37)),x6964))
% 4.30/4.43 [697]E(x6971,x6972)+E(x6973,x6972)+P45(f34(f34(f33(f42(a37,a37)),f22(x6973,x6971,a37,a37)),f11(x6974,x6972)))+~P45(f34(f34(f33(f42(a37,a37)),f22(x6973,x6971,a37,a37)),x6974))
% 4.30/4.43 [698]E(x6981,x6982)+E(x6983,x6981)+P45(f34(f34(f33(f42(a37,a37)),f22(x6983,x6981,a37,a37)),f10(x6984,x6982)))+~P45(f34(f34(f33(f42(a37,a37)),f22(x6983,x6981,a37,a37)),x6984))
% 4.30/4.43 [699]E(x6991,x6992)+E(x6991,x6993)+P45(f34(f34(f33(f42(a37,a37)),f22(x6991,x6993,a37,a37)),f11(x6994,x6992)))+~P45(f34(f34(f33(f42(a37,a37)),f22(x6991,x6993,a37,a37)),x6994))
% 4.30/4.43 [386]E(x3861,x3862)+~P10(x3864,x3863,x3865)+P45(f34(f34(x3863,x3861),x3862))+P45(f34(f34(x3863,x3862),x3861))
% 4.30/4.43 [407]E(x4071,x4072)+~P9(x4074,x4073,x4075)+~P45(f34(f34(x4074,x4071),x4072))+P45(f34(f34(x4073,x4071),x4072))
% 4.30/4.43 [408]E(x4081,x4082)+~P10(x4084,x4083,x4085)+~P45(f34(f34(x4084,x4081),x4082))+P45(f34(f34(x4083,x4081),x4082))
% 4.30/4.43 [439]E(x4391,x4392)+~P9(x4393,x4394,x4395)+~P45(f34(f34(x4393,x4392),x4391))+~P45(f34(f34(x4393,x4391),x4392))
% 4.30/4.43 [454]~P7(x4541,x4544,x4545)+~P45(f34(f34(x4541,x4543),x4542))+P45(f34(f34(x4541,x4542),x4543))+P45(f34(f34(x4544,x4543),x4542))
% 4.30/4.43 [599]~P26(x5991)+~P45(f34(f34(f27(x5991),x5992),f4(x5993,x5995,x5991)))+P45(f34(f34(f27(x5991),x5992),f4(x5993,x5994,x5991)))+~P45(f34(f34(f27(x5991),x5995),x5994))
% 4.30/4.43 [610]~P27(x6101)+P45(f34(f34(f14(x6101),f4(x6102,x6103,x6101)),f4(x6104,x6105,x6101)))+~P45(f34(f34(f14(x6101),x6103),x6105))+~P45(f34(f34(f14(x6101),x6102),x6104))
% 4.30/4.43 [611]~P27(x6111)+P45(f34(f34(f14(x6111),f4(x6112,x6113,x6111)),f4(x6114,x6115,x6111)))+~P45(f34(f34(f27(x6111),x6112),x6114))+~P45(f34(f34(f14(x6111),x6113),x6115))
% 4.30/4.43 [612]~P27(x6121)+P45(f34(f34(f14(x6121),f4(x6122,x6123,x6121)),f4(x6124,x6125,x6121)))+~P45(f34(f34(f27(x6121),x6123),x6125))+~P45(f34(f34(f14(x6121),x6122),x6124))
% 4.30/4.43 [613]~P24(x6131)+P45(f34(f34(f27(x6131),f4(x6132,x6133,x6131)),f4(x6134,x6135,x6131)))+~P45(f34(f34(f27(x6131),x6133),x6135))+~P45(f34(f34(f27(x6131),x6132),x6134))
% 4.30/4.43 [469]~P7(x4694,x4691,x4695)+~P45(f34(f34(x4691,x4696),x4693))+P45(f34(f34(x4691,x4692),x4693))+~P45(f34(f34(x4694,x4692),x4696))
% 4.30/4.43 [470]~P7(x4704,x4701,x4705)+~P45(f34(f34(x4701,x4702),x4706))+P45(f34(f34(x4701,x4702),x4703))+~P45(f34(f34(x4701,x4706),x4703))
% 4.30/4.43 [471]~P7(x4714,x4711,x4715)+~P45(f34(f34(x4711,x4712),x4716))+P45(f34(f34(x4711,x4712),x4713))+~P45(f34(f34(x4714,x4716),x4713))
% 4.30/4.43 [472]~P7(x4721,x4724,x4725)+~P45(f34(f34(x4721,x4722),x4726))+P45(f34(f34(x4721,x4722),x4723))+~P45(f34(f34(x4721,x4726),x4723))
% 4.30/4.43 [318]~P29(x3182)+~P44(x3182)+~P34(x3182)+~P35(x3182)+~E(f23(x3181,f3(a1),x3182),f3(x3182))
% 4.30/4.43 [535]~P38(x5351)+~P41(x5351)+~P45(f34(f34(f27(x5351),x5353),f3(x5351)))+~P45(f34(f34(f27(x5351),x5352),f3(x5351)))+P45(f34(f34(f27(x5351),f3(x5351)),f16(x5352,x5353,x5351)))
% 4.30/4.43 [619]~P38(x6191)+~P41(x6191)+~P45(f34(f34(f14(x6191),f16(x6193,x6192,x6191)),f3(x6191)))+P45(f34(f34(f14(x6191),x6192),f3(x6191)))+P45(f34(f34(f14(x6191),x6193),f3(x6191)))
% 4.30/4.43 [620]~P38(x6201)+~P41(x6201)+~P45(f34(f34(f27(x6201),f16(x6203,x6202,x6201)),f3(x6201)))+P45(f34(f34(f27(x6201),x6202),f3(x6201)))+P45(f34(f34(f27(x6201),x6203),f3(x6201)))
% 4.30/4.43 [503]~P13(x5032)+~E(f4(x5033,x5031,x5032),f3(x5032))+E(x5031,f3(x5032))+~P45(f34(f34(f27(x5032),f3(x5032)),x5031))+~P45(f34(f34(f27(x5032),f3(x5032)),x5033))
% 4.30/4.43 [504]~P13(x5042)+~E(f4(x5041,x5043,x5042),f3(x5042))+E(x5041,f3(x5042))+~P45(f34(f34(f27(x5042),f3(x5042)),x5043))+~P45(f34(f34(f27(x5042),f3(x5042)),x5041))
% 4.30/4.43 [547]~P38(x5471)+~P41(x5471)+P45(f34(f34(f27(x5471),f3(x5471)),f16(x5472,x5473,x5471)))+~P45(f34(f34(f27(x5471),f3(x5471)),x5473))+~P45(f34(f34(f27(x5471),f3(x5471)),x5472))
% 4.30/4.43 [559]~P38(x5591)+~P41(x5591)+~P45(f34(f34(f14(x5591),f3(x5591)),f16(x5593,x5592,x5591)))+P45(f34(f34(f14(x5591),x5592),f3(x5591)))+P45(f34(f34(f14(x5591),f3(x5591)),x5593))
% 4.30/4.43 [560]~P38(x5601)+~P41(x5601)+~P45(f34(f34(f14(x5601),f3(x5601)),f16(x5602,x5603,x5601)))+P45(f34(f34(f14(x5601),x5602),f3(x5601)))+P45(f34(f34(f14(x5601),f3(x5601)),x5603))
% 4.30/4.43 [561]~P38(x5611)+~P41(x5611)+~P45(f34(f34(f14(x5611),f3(x5611)),f16(x5613,x5612,x5611)))+P45(f34(f34(f14(x5611),x5612),f3(x5611)))+P45(f34(f34(f14(x5611),f3(x5611)),x5612))
% 4.30/4.43 [562]~P38(x5621)+~P41(x5621)+~P45(f34(f34(f14(x5621),f3(x5621)),f16(x5622,x5623,x5621)))+P45(f34(f34(f14(x5621),x5622),f3(x5621)))+P45(f34(f34(f14(x5621),f3(x5621)),x5622))
% 4.30/4.43 [563]~P38(x5631)+~P41(x5631)+~P45(f34(f34(f27(x5631),f3(x5631)),f16(x5633,x5632,x5631)))+P45(f34(f34(f27(x5631),x5632),f3(x5631)))+P45(f34(f34(f27(x5631),f3(x5631)),x5633))
% 4.30/4.43 [564]~P38(x5641)+~P41(x5641)+~P45(f34(f34(f27(x5641),f3(x5641)),f16(x5642,x5643,x5641)))+P45(f34(f34(f27(x5641),x5642),f3(x5641)))+P45(f34(f34(f27(x5641),f3(x5641)),x5643))
% 4.30/4.43 [565]~P38(x5651)+~P41(x5651)+~P45(f34(f34(f27(x5651),f3(x5651)),f16(x5653,x5652,x5651)))+P45(f34(f34(f27(x5651),x5652),f3(x5651)))+P45(f34(f34(f27(x5651),f3(x5651)),x5652))
% 4.30/4.43 [566]~P38(x5661)+~P41(x5661)+~P45(f34(f34(f27(x5661),f3(x5661)),f16(x5662,x5663,x5661)))+P45(f34(f34(f27(x5661),x5662),f3(x5661)))+P45(f34(f34(f27(x5661),f3(x5661)),x5662))
% 4.30/4.43 [594]~P38(x5941)+~P41(x5941)+~P45(f34(f34(f27(x5941),x5943),f3(x5941)))+P45(f34(f34(f27(x5941),f16(x5942,x5943,x5941)),f3(x5941)))+~P45(f34(f34(f27(x5941),f3(x5941)),x5942))
% 4.30/4.43 [595]~P38(x5951)+~P41(x5951)+~P45(f34(f34(f27(x5951),x5952),f3(x5951)))+P45(f34(f34(f27(x5951),f16(x5952,x5953,x5951)),f3(x5951)))+~P45(f34(f34(f27(x5951),f3(x5951)),x5953))
% 4.30/4.43 [625]~P38(x6251)+~P41(x6251)+~P45(f34(f34(f14(x6251),f16(x6253,x6252,x6251)),f3(x6251)))+P45(f34(f34(f14(x6251),x6252),f3(x6251)))+P45(f34(f34(f14(x6251),f3(x6251)),x6252))
% 4.30/4.43 [626]~P38(x6261)+~P41(x6261)+~P45(f34(f34(f14(x6261),f16(x6262,x6263,x6261)),f3(x6261)))+P45(f34(f34(f14(x6261),x6262),f3(x6261)))+P45(f34(f34(f14(x6261),f3(x6261)),x6262))
% 4.30/4.43 [627]~P38(x6271)+~P41(x6271)+~P45(f34(f34(f27(x6271),f16(x6273,x6272,x6271)),f3(x6271)))+P45(f34(f34(f27(x6271),x6272),f3(x6271)))+P45(f34(f34(f27(x6271),f3(x6271)),x6272))
% 4.30/4.43 [628]~P38(x6281)+~P41(x6281)+~P45(f34(f34(f27(x6281),f16(x6282,x6283,x6281)),f3(x6281)))+P45(f34(f34(f27(x6281),x6282),f3(x6281)))+P45(f34(f34(f27(x6281),f3(x6281)),x6282))
% 4.30/4.43 [631]~P38(x6311)+~P41(x6311)+~P45(f34(f34(f14(x6311),f16(x6312,x6313,x6311)),f3(x6311)))+P45(f34(f34(f14(x6311),f3(x6311)),x6312))+P45(f34(f34(f14(x6311),f3(x6311)),x6313))
% 4.30/4.43 [632]~P38(x6321)+~P41(x6321)+~P45(f34(f34(f27(x6321),f16(x6322,x6323,x6321)),f3(x6321)))+P45(f34(f34(f27(x6321),f3(x6321)),x6322))+P45(f34(f34(f27(x6321),f3(x6321)),x6323))
% 4.30/4.43 [525]~P14(x5251)+~P15(x5251)+P45(f34(f34(f14(x5251),x5252),f4(x5253,x5254,x5251)))+~P45(f34(f34(f27(x5251),f3(x5251)),x5253))+~P45(f34(f34(f14(x5251),x5252),x5254))
% 4.30/4.43 [526]~P14(x5261)+~P15(x5261)+P45(f34(f34(f14(x5261),x5262),f4(x5263,x5264,x5261)))+~P45(f34(f34(f27(x5261),x5262),x5264))+~P45(f34(f34(f14(x5261),f3(x5261)),x5263))
% 4.30/4.43 [527]~P14(x5271)+~P15(x5271)+P45(f34(f34(f27(x5271),x5272),f4(x5273,x5274,x5271)))+~P45(f34(f34(f27(x5271),f3(x5271)),x5273))+~P45(f34(f34(f27(x5271),x5272),x5274))
% 4.30/4.43 [528]~P14(x5281)+~P15(x5281)+P45(f34(f34(f27(x5281),x5282),f4(x5283,x5284,x5281)))+~P45(f34(f34(f27(x5281),f3(x5281)),x5284))+~P45(f34(f34(f27(x5281),x5282),x5283))
% 4.30/4.43 [621]~P38(x6211)+~P41(x6211)+~P45(f34(f34(f27(x6211),x6213),f3(x6211)))+P45(f34(f34(f27(x6211),f16(x6212,x6213,x6211)),f16(x6214,x6213,x6211)))+~P45(f34(f34(f27(x6211),x6214),x6212))
% 4.30/4.43 [633]~P38(x6331)+~P41(x6331)+P45(f34(f34(f27(x6331),f16(x6332,x6333,x6331)),f16(x6334,x6333,x6331)))+~P45(f34(f34(f27(x6331),x6332),x6334))+~P45(f34(f34(f27(x6331),f3(x6331)),x6333))
% 4.30/4.43 [643]~P28(x6431)+~P45(f34(f34(f14(x6431),x6432),f15(x6431)))+P45(f34(f34(f14(x6431),f23(x6432,x6433,x6431)),f23(x6432,x6434,x6431)))+~P45(f34(f34(f14(x6431),f3(x6431)),x6432))+~P45(f34(f34(f14(a1),x6434),x6433))
% 4.30/4.43 [644]~P28(x6441)+~P45(f34(f34(f27(x6441),x6442),f15(x6441)))+P45(f34(f34(f27(x6441),f23(x6442,x6443,x6441)),f23(x6442,x6444,x6441)))+~P45(f34(f34(f27(x6441),f3(x6441)),x6442))+~P45(f34(f34(f27(a1),x6444),x6443))
% 4.30/4.43 [645]~P28(x6451)+P45(f34(f34(f14(x6451),f23(x6452,x6453,x6451)),f23(x6454,x6453,x6451)))+~P45(f34(f34(f27(x6451),f3(x6451)),x6452))+~P45(f34(f34(f14(x6451),x6452),x6454))+~P45(f34(f34(f14(a1),f3(a1)),x6453))
% 4.30/4.43 [551]E(x5511,x5512)+~P5(x5513,x5514,x5515,x5516)+~E(f34(x5513,x5511),f34(x5513,x5512))+~P45(f34(f34(f33(x5515),x5512),x5514))+~P45(f34(f34(f33(x5515),x5511),x5514))
% 4.30/4.43 [304]~P29(x3042)+~P44(x3042)+~P34(x3042)+~P35(x3042)+E(x3041,f3(a1))+E(f23(f3(x3042),x3041,x3042),f3(x3042))
% 4.30/4.43 [320]~P29(x3202)+~P44(x3202)+~P34(x3202)+~P35(x3202)+~E(f23(x3201,x3203,x3202),f3(x3202))+E(x3201,f3(x3202))
% 4.30/4.43 [539]~P28(x5394)+E(x5391,x5392)+~E(f23(x5391,x5393,x5394),f23(x5392,x5393,x5394))+~P45(f34(f34(f27(x5394),f3(x5394)),x5392))+~P45(f34(f34(f27(x5394),f3(x5394)),x5391))+~P45(f34(f34(f14(a1),f3(a1)),x5393))
% 4.30/4.43 [552]~P38(x5521)+~P41(x5521)+P45(f34(f34(f14(x5521),x5522),f3(x5521)))+P45(f34(f34(f14(x5521),x5523),f16(x5524,x5522,x5521)))+~P45(f34(f34(f14(x5521),x5523),f3(x5521)))+P45(f34(f34(f14(x5521),f3(x5521)),x5522))
% 4.30/4.43 [553]~P38(x5531)+~P41(x5531)+P45(f34(f34(f14(x5531),x5532),f3(x5531)))+P45(f34(f34(f27(x5531),x5533),f16(x5534,x5532,x5531)))+~P45(f34(f34(f27(x5531),x5533),f3(x5531)))+P45(f34(f34(f14(x5531),f3(x5531)),x5532))
% 4.30/4.43 [571]~P38(x5711)+~P41(x5711)+P45(f34(f34(f14(x5711),x5712),f3(x5711)))+~P45(f34(f34(f14(x5711),x5713),f16(x5714,x5712,x5711)))+P45(f34(f34(f14(x5711),x5713),f3(x5711)))+P45(f34(f34(f14(x5711),f3(x5711)),x5712))
% 4.30/4.43 [572]~P38(x5721)+~P41(x5721)+P45(f34(f34(f14(x5721),x5722),f3(x5721)))+~P45(f34(f34(f27(x5721),x5723),f16(x5724,x5722,x5721)))+P45(f34(f34(f27(x5721),x5723),f3(x5721)))+P45(f34(f34(f14(x5721),f3(x5721)),x5722))
% 4.30/4.43 [600]~P38(x6001)+~P41(x6001)+P45(f34(f34(f14(x6001),x6002),f3(x6001)))+P45(f34(f34(f14(x6001),f3(x6001)),x6002))+~P45(f34(f34(f14(x6001),f3(x6001)),x6004))+P45(f34(f34(f14(x6001),f16(x6003,x6002,x6001)),x6004))
% 4.30/4.43 [601]~P38(x6011)+~P41(x6011)+P45(f34(f34(f14(x6011),x6012),f3(x6011)))+~P45(f34(f34(f27(x6011),f3(x6011)),x6014))+P45(f34(f34(f14(x6011),f3(x6011)),x6012))+P45(f34(f34(f27(x6011),f16(x6013,x6012,x6011)),x6014))
% 4.30/4.43 [637]~P38(x6371)+~P41(x6371)+P45(f34(f34(f14(x6371),x6372),f3(x6371)))+P45(f34(f34(f14(x6371),f3(x6371)),x6372))+~P45(f34(f34(f14(x6371),f16(x6374,x6372,x6371)),x6373))+P45(f34(f34(f14(x6371),f3(x6371)),x6373))
% 4.30/4.43 [638]~P38(x6381)+~P41(x6381)+P45(f34(f34(f14(x6381),x6382),f3(x6381)))+P45(f34(f34(f14(x6381),f3(x6381)),x6382))+~P45(f34(f34(f27(x6381),f16(x6384,x6382,x6381)),x6383))+P45(f34(f34(f27(x6381),f3(x6381)),x6383))
% 4.30/4.43 [655]~P41(x6551)+P45(f34(f34(f14(x6551),f16(x6552,x6553,x6551)),f16(x6554,x6555,x6551)))+~P45(f34(f34(f27(x6551),x6552),x6554))+~P45(f34(f34(f14(x6551),x6555),x6553))+~P45(f34(f34(f14(x6551),f3(x6551)),x6555))+~P45(f34(f34(f14(x6551),f3(x6551)),x6552))
% 4.30/4.43 [656]~P41(x6561)+P45(f34(f34(f14(x6561),f16(x6562,x6563,x6561)),f16(x6564,x6565,x6561)))+~P45(f34(f34(f27(x6561),x6565),x6563))+~P45(f34(f34(f27(x6561),f3(x6561)),x6562))+~P45(f34(f34(f14(x6561),x6562),x6564))+~P45(f34(f34(f14(x6561),f3(x6561)),x6565))
% 4.30/4.43 [657]~P41(x6571)+P45(f34(f34(f27(x6571),f16(x6572,x6573,x6571)),f16(x6574,x6575,x6571)))+~P45(f34(f34(f14(x6571),f3(x6571)),x6575))+~P45(f34(f34(f27(x6571),x6575),x6573))+~P45(f34(f34(f27(x6571),x6572),x6574))+~P45(f34(f34(f27(x6571),f3(x6571)),x6572))
% 4.30/4.43 [692]E(x6921,x6922)+~P11(x6925,x6924,x6923)+~P45(f34(f34(f33(x6923),x6922),x6925))+~P45(f34(f34(f33(x6923),x6921),x6925))+P45(f34(f34(f33(f42(x6923,x6923)),f22(x6921,x6922,x6923,x6923)),x6924))+P45(f34(f34(f33(f42(x6923,x6923)),f22(x6922,x6921,x6923,x6923)),x6924))
% 4.30/4.43 %EqnAxiom
% 4.30/4.43 [1]E(x11,x11)
% 4.30/4.43 [2]E(x22,x21)+~E(x21,x22)
% 4.30/4.43 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 4.30/4.43 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 4.30/4.43 [5]~E(x51,x52)+E(f4(x51,x53,x54),f4(x52,x53,x54))
% 4.30/4.43 [6]~E(x61,x62)+E(f4(x63,x61,x64),f4(x63,x62,x64))
% 4.30/4.43 [7]~E(x71,x72)+E(f4(x73,x74,x71),f4(x73,x74,x72))
% 4.30/4.43 [8]~E(x81,x82)+E(f34(x81,x83),f34(x82,x83))
% 4.30/4.43 [9]~E(x91,x92)+E(f34(x93,x91),f34(x93,x92))
% 4.30/4.43 [10]~E(x101,x102)+E(f22(x101,x103,x104,x105),f22(x102,x103,x104,x105))
% 4.30/4.43 [11]~E(x111,x112)+E(f22(x113,x111,x114,x115),f22(x113,x112,x114,x115))
% 4.30/4.43 [12]~E(x121,x122)+E(f22(x123,x124,x121,x125),f22(x123,x124,x122,x125))
% 4.30/4.43 [13]~E(x131,x132)+E(f22(x133,x134,x135,x131),f22(x133,x134,x135,x132))
% 4.30/4.43 [14]~E(x141,x142)+E(f33(x141),f33(x142))
% 4.30/4.43 [15]~E(x151,x152)+E(f42(x151,x153),f42(x152,x153))
% 4.30/4.43 [16]~E(x161,x162)+E(f42(x163,x161),f42(x163,x162))
% 4.30/4.43 [17]~E(x171,x172)+E(f14(x171),f14(x172))
% 4.30/4.43 [18]~E(x181,x182)+E(f6(x181,x183,x184,x185),f6(x182,x183,x184,x185))
% 4.30/4.43 [19]~E(x191,x192)+E(f6(x193,x191,x194,x195),f6(x193,x192,x194,x195))
% 4.30/4.43 [20]~E(x201,x202)+E(f6(x203,x204,x201,x205),f6(x203,x204,x202,x205))
% 4.30/4.43 [21]~E(x211,x212)+E(f6(x213,x214,x215,x211),f6(x213,x214,x215,x212))
% 4.30/4.43 [22]~E(x221,x222)+E(f27(x221),f27(x222))
% 4.30/4.43 [23]~E(x231,x232)+E(f38(x231,x233),f38(x232,x233))
% 4.30/4.43 [24]~E(x241,x242)+E(f38(x243,x241),f38(x243,x242))
% 4.30/4.43 [25]~E(x251,x252)+E(f23(x251,x253,x254),f23(x252,x253,x254))
% 4.30/4.43 [26]~E(x261,x262)+E(f23(x263,x261,x264),f23(x263,x262,x264))
% 4.30/4.43 [27]~E(x271,x272)+E(f23(x273,x274,x271),f23(x273,x274,x272))
% 4.30/4.43 [28]~E(x281,x282)+E(f18(x281),f18(x282))
% 4.30/4.43 [29]~E(x291,x292)+E(f5(x291,x293),f5(x292,x293))
% 4.30/4.43 [30]~E(x301,x302)+E(f5(x303,x301),f5(x303,x302))
% 4.30/4.43 [31]~E(x311,x312)+E(f17(x311,x313),f17(x312,x313))
% 4.30/4.43 [32]~E(x321,x322)+E(f17(x323,x321),f17(x323,x322))
% 4.30/4.43 [33]~E(x331,x332)+E(f19(x331,x333),f19(x332,x333))
% 4.30/4.43 [34]~E(x341,x342)+E(f19(x343,x341),f19(x343,x342))
% 4.30/4.43 [35]~E(x351,x352)+E(f24(x351,x353,x354,x355),f24(x352,x353,x354,x355))
% 4.30/4.43 [36]~E(x361,x362)+E(f24(x363,x361,x364,x365),f24(x363,x362,x364,x365))
% 4.30/4.43 [37]~E(x371,x372)+E(f24(x373,x374,x371,x375),f24(x373,x374,x372,x375))
% 4.30/4.43 [38]~E(x381,x382)+E(f24(x383,x384,x385,x381),f24(x383,x384,x385,x382))
% 4.30/4.43 [39]~E(x391,x392)+E(f20(x391,x393,x394),f20(x392,x393,x394))
% 4.30/4.43 [40]~E(x401,x402)+E(f20(x403,x401,x404),f20(x403,x402,x404))
% 4.30/4.43 [41]~E(x411,x412)+E(f20(x413,x414,x411),f20(x413,x414,x412))
% 4.30/4.43 [42]~E(x421,x422)+E(f29(x421,x423,x424,x425),f29(x422,x423,x424,x425))
% 4.30/4.43 [43]~E(x431,x432)+E(f29(x433,x431,x434,x435),f29(x433,x432,x434,x435))
% 4.30/4.43 [44]~E(x441,x442)+E(f29(x443,x444,x441,x445),f29(x443,x444,x442,x445))
% 4.30/4.43 [45]~E(x451,x452)+E(f29(x453,x454,x455,x451),f29(x453,x454,x455,x452))
% 4.30/4.43 [46]~E(x461,x462)+E(f25(x461,x463,x464),f25(x462,x463,x464))
% 4.30/4.43 [47]~E(x471,x472)+E(f25(x473,x471,x474),f25(x473,x472,x474))
% 4.30/4.43 [48]~E(x481,x482)+E(f25(x483,x484,x481),f25(x483,x484,x482))
% 4.30/4.43 [49]~E(x491,x492)+E(f10(x491,x493),f10(x492,x493))
% 4.30/4.43 [50]~E(x501,x502)+E(f10(x503,x501),f10(x503,x502))
% 4.30/4.43 [51]~E(x511,x512)+E(f15(x511),f15(x512))
% 4.30/4.43 [52]~E(x521,x522)+E(f7(x521,x523,x524,x525,x526),f7(x522,x523,x524,x525,x526))
% 4.30/4.43 [53]~E(x531,x532)+E(f7(x533,x531,x534,x535,x536),f7(x533,x532,x534,x535,x536))
% 4.30/4.43 [54]~E(x541,x542)+E(f7(x543,x544,x541,x545,x546),f7(x543,x544,x542,x545,x546))
% 4.30/4.43 [55]~E(x551,x552)+E(f7(x553,x554,x555,x551,x556),f7(x553,x554,x555,x552,x556))
% 4.30/4.43 [56]~E(x561,x562)+E(f7(x563,x564,x565,x566,x561),f7(x563,x564,x565,x566,x562))
% 4.30/4.43 [57]~E(x571,x572)+E(f21(x571),f21(x572))
% 4.30/4.43 [58]~E(x581,x582)+E(f12(x581,x583,x584,x585,x586),f12(x582,x583,x584,x585,x586))
% 4.30/4.43 [59]~E(x591,x592)+E(f12(x593,x591,x594,x595,x596),f12(x593,x592,x594,x595,x596))
% 4.30/4.43 [60]~E(x601,x602)+E(f12(x603,x604,x601,x605,x606),f12(x603,x604,x602,x605,x606))
% 4.30/4.43 [61]~E(x611,x612)+E(f12(x613,x614,x615,x611,x616),f12(x613,x614,x615,x612,x616))
% 4.30/4.43 [62]~E(x621,x622)+E(f12(x623,x624,x625,x626,x621),f12(x623,x624,x625,x626,x622))
% 4.30/4.43 [63]~E(x631,x632)+E(f26(x631,x633,x634,x635),f26(x632,x633,x634,x635))
% 4.30/4.43 [64]~E(x641,x642)+E(f26(x643,x641,x644,x645),f26(x643,x642,x644,x645))
% 4.30/4.43 [65]~E(x651,x652)+E(f26(x653,x654,x651,x655),f26(x653,x654,x652,x655))
% 4.30/4.43 [66]~E(x661,x662)+E(f26(x663,x664,x665,x661),f26(x663,x664,x665,x662))
% 4.30/4.43 [67]~E(x671,x672)+E(f13(x671),f13(x672))
% 4.30/4.43 [68]~E(x681,x682)+E(f16(x681,x683,x684),f16(x682,x683,x684))
% 4.30/4.43 [69]~E(x691,x692)+E(f16(x693,x691,x694),f16(x693,x692,x694))
% 4.30/4.43 [70]~E(x701,x702)+E(f16(x703,x704,x701),f16(x703,x704,x702))
% 4.30/4.43 [71]~E(x711,x712)+E(f32(x711,x713,x714),f32(x712,x713,x714))
% 4.30/4.43 [72]~E(x721,x722)+E(f32(x723,x721,x724),f32(x723,x722,x724))
% 4.30/4.43 [73]~E(x731,x732)+E(f32(x733,x734,x731),f32(x733,x734,x732))
% 4.30/4.43 [74]~E(x741,x742)+E(f30(x741,x743),f30(x742,x743))
% 4.30/4.43 [75]~E(x751,x752)+E(f30(x753,x751),f30(x753,x752))
% 4.30/4.43 [76]~E(x761,x762)+E(f28(x761,x763,x764),f28(x762,x763,x764))
% 4.30/4.43 [77]~E(x771,x772)+E(f28(x773,x771,x774),f28(x773,x772,x774))
% 4.30/4.43 [78]~E(x781,x782)+E(f28(x783,x784,x781),f28(x783,x784,x782))
% 4.30/4.43 [79]~E(x791,x792)+E(f11(x791,x793),f11(x792,x793))
% 4.30/4.43 [80]~E(x801,x802)+E(f11(x803,x801),f11(x803,x802))
% 4.30/4.43 [81]~E(x811,x812)+E(f31(x811,x813),f31(x812,x813))
% 4.30/4.43 [82]~E(x821,x822)+E(f31(x823,x821),f31(x823,x822))
% 4.30/4.43 [83]~E(x831,x832)+E(f47(x831,x833,x834,x835,x836,x837),f47(x832,x833,x834,x835,x836,x837))
% 4.30/4.43 [84]~E(x841,x842)+E(f47(x843,x841,x844,x845,x846,x847),f47(x843,x842,x844,x845,x846,x847))
% 4.30/4.43 [85]~E(x851,x852)+E(f47(x853,x854,x851,x855,x856,x857),f47(x853,x854,x852,x855,x856,x857))
% 4.30/4.43 [86]~E(x861,x862)+E(f47(x863,x864,x865,x861,x866,x867),f47(x863,x864,x865,x862,x866,x867))
% 4.30/4.43 [87]~E(x871,x872)+E(f47(x873,x874,x875,x876,x871,x877),f47(x873,x874,x875,x876,x872,x877))
% 4.30/4.43 [88]~E(x881,x882)+E(f47(x883,x884,x885,x886,x887,x881),f47(x883,x884,x885,x886,x887,x882))
% 4.30/4.43 [89]~P1(x891)+P1(x892)+~E(x891,x892)
% 4.30/4.43 [90]~P45(x901)+P45(x902)+~E(x901,x902)
% 4.30/4.43 [91]~P2(x911)+P2(x912)+~E(x911,x912)
% 4.30/4.43 [92]~P3(x921)+P3(x922)+~E(x921,x922)
% 4.30/4.43 [93]~P28(x931)+P28(x932)+~E(x931,x932)
% 4.30/4.43 [94]~P42(x941)+P42(x942)+~E(x941,x942)
% 4.30/4.43 [95]~P29(x951)+P29(x952)+~E(x951,x952)
% 4.30/4.43 [96]~P44(x961)+P44(x962)+~E(x961,x962)
% 4.30/4.43 [97]~P34(x971)+P34(x972)+~E(x971,x972)
% 4.30/4.43 [98]~P35(x981)+P35(x982)+~E(x981,x982)
% 4.30/4.43 [99]~P36(x991)+P36(x992)+~E(x991,x992)
% 4.30/4.43 [100]~P30(x1001)+P30(x1002)+~E(x1001,x1002)
% 4.30/4.43 [101]~P26(x1011)+P26(x1012)+~E(x1011,x1012)
% 4.30/4.43 [102]~P13(x1021)+P13(x1022)+~E(x1021,x1022)
% 4.30/4.43 [103]~P14(x1031)+P14(x1032)+~E(x1031,x1032)
% 4.30/4.43 [104]~P15(x1041)+P15(x1042)+~E(x1041,x1042)
% 4.30/4.43 [105]~P20(x1051)+P20(x1052)+~E(x1051,x1052)
% 4.30/4.43 [106]~P23(x1061)+P23(x1062)+~E(x1061,x1062)
% 4.30/4.43 [107]~P31(x1071)+P31(x1072)+~E(x1071,x1072)
% 4.30/4.43 [108]~P41(x1081)+P41(x1082)+~E(x1081,x1082)
% 4.30/4.43 [109]~P32(x1091)+P32(x1092)+~E(x1091,x1092)
% 4.30/4.43 [110]~P27(x1101)+P27(x1102)+~E(x1101,x1102)
% 4.30/4.43 [111]~P33(x1111)+P33(x1112)+~E(x1111,x1112)
% 4.30/4.43 [112]~P24(x1121)+P24(x1122)+~E(x1121,x1122)
% 4.30/4.43 [113]~P16(x1131)+P16(x1132)+~E(x1131,x1132)
% 4.30/4.43 [114]~P18(x1141)+P18(x1142)+~E(x1141,x1142)
% 4.30/4.43 [115]~P19(x1151)+P19(x1152)+~E(x1151,x1152)
% 4.30/4.43 [116]P4(x1162,x1163,x1164)+~E(x1161,x1162)+~P4(x1161,x1163,x1164)
% 4.30/4.43 [117]P4(x1173,x1172,x1174)+~E(x1171,x1172)+~P4(x1173,x1171,x1174)
% 4.30/4.43 [118]P4(x1183,x1184,x1182)+~E(x1181,x1182)+~P4(x1183,x1184,x1181)
% 4.30/4.43 [119]P11(x1192,x1193,x1194)+~E(x1191,x1192)+~P11(x1191,x1193,x1194)
% 4.30/4.43 [120]P11(x1203,x1202,x1204)+~E(x1201,x1202)+~P11(x1203,x1201,x1204)
% 4.30/4.43 [121]P11(x1213,x1214,x1212)+~E(x1211,x1212)+~P11(x1213,x1214,x1211)
% 4.30/4.43 [122]P6(x1222,x1223,x1224)+~E(x1221,x1222)+~P6(x1221,x1223,x1224)
% 4.30/4.43 [123]P6(x1233,x1232,x1234)+~E(x1231,x1232)+~P6(x1233,x1231,x1234)
% 4.30/4.43 [124]P6(x1243,x1244,x1242)+~E(x1241,x1242)+~P6(x1243,x1244,x1241)
% 4.30/4.43 [125]~P38(x1251)+P38(x1252)+~E(x1251,x1252)
% 4.30/4.43 [126]~P40(x1261)+P40(x1262)+~E(x1261,x1262)
% 4.30/4.43 [127]P10(x1272,x1273,x1274)+~E(x1271,x1272)+~P10(x1271,x1273,x1274)
% 4.30/4.43 [128]P10(x1283,x1282,x1284)+~E(x1281,x1282)+~P10(x1283,x1281,x1284)
% 4.30/4.43 [129]P10(x1293,x1294,x1292)+~E(x1291,x1292)+~P10(x1293,x1294,x1291)
% 4.30/4.43 [130]~P21(x1301)+P21(x1302)+~E(x1301,x1302)
% 4.30/4.43 [131]P9(x1312,x1313,x1314)+~E(x1311,x1312)+~P9(x1311,x1313,x1314)
% 4.30/4.43 [132]P9(x1323,x1322,x1324)+~E(x1321,x1322)+~P9(x1323,x1321,x1324)
% 4.30/4.43 [133]P9(x1333,x1334,x1332)+~E(x1331,x1332)+~P9(x1333,x1334,x1331)
% 4.30/4.43 [134]P7(x1342,x1343,x1344)+~E(x1341,x1342)+~P7(x1341,x1343,x1344)
% 4.30/4.43 [135]P7(x1353,x1352,x1354)+~E(x1351,x1352)+~P7(x1353,x1351,x1354)
% 4.30/4.43 [136]P7(x1363,x1364,x1362)+~E(x1361,x1362)+~P7(x1363,x1364,x1361)
% 4.30/4.43 [137]P5(x1372,x1373,x1374,x1375)+~E(x1371,x1372)+~P5(x1371,x1373,x1374,x1375)
% 4.30/4.43 [138]P5(x1383,x1382,x1384,x1385)+~E(x1381,x1382)+~P5(x1383,x1381,x1384,x1385)
% 4.30/4.43 [139]P5(x1393,x1394,x1392,x1395)+~E(x1391,x1392)+~P5(x1393,x1394,x1391,x1395)
% 4.30/4.43 [140]P5(x1403,x1404,x1405,x1402)+~E(x1401,x1402)+~P5(x1403,x1404,x1405,x1401)
% 4.30/4.43 [141]~P37(x1411)+P37(x1412)+~E(x1411,x1412)
% 4.30/4.43 [142]~P22(x1421)+P22(x1422)+~E(x1421,x1422)
% 4.30/4.43 [143]~P39(x1431)+P39(x1432)+~E(x1431,x1432)
% 4.30/4.43 [144]~P12(x1441)+P12(x1442)+~E(x1441,x1442)
% 4.30/4.43 [145]~P17(x1451)+P17(x1452)+~E(x1451,x1452)
% 4.30/4.43 [146]P8(x1462,x1463,x1464)+~E(x1461,x1462)+~P8(x1461,x1463,x1464)
% 4.30/4.43 [147]P8(x1473,x1472,x1474)+~E(x1471,x1472)+~P8(x1473,x1471,x1474)
% 4.30/4.43 [148]P8(x1483,x1484,x1482)+~E(x1481,x1482)+~P8(x1483,x1484,x1481)
% 4.30/4.43 [149]~P43(x1491)+P43(x1492)+~E(x1491,x1492)
% 4.30/4.43 [150]~P25(x1501)+P25(x1502)+~E(x1501,x1502)
% 4.30/4.43
% 4.30/4.43 %-------------------------------------------
% 4.30/4.44 cnf(728,plain,
% 4.30/4.44 (P8(x7281,x7282,x7282)),
% 4.30/4.44 inference(scs_inference,[],[197,226,187,229,2,357,355,354,331,329,710,324])).
% 4.30/4.44 cnf(730,plain,
% 4.30/4.44 (~P45(f34(f34(f27(a1),f4(x7301,f4(f47(a41,a43,a44,a45,a46,a40),f15(a1),a1),a1)),f4(x7301,f47(a41,a43,a44,a45,a46,a40),a1)))),
% 4.30/4.44 inference(scs_inference,[],[197,226,187,229,2,357,355,354,331,329,710,324,636])).
% 4.30/4.44 cnf(734,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x7341),f4(x7342,f4(x7341,x7343,a1),a1)))),
% 4.30/4.44 inference(scs_inference,[],[197,226,187,229,201,231,2,357,355,354,331,329,710,324,636,635,575])).
% 4.30/4.44 cnf(735,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x7351),f4(x7352,x7351,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(737,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x7371),f4(x7372,f4(x7373,x7371,a1),a1)))),
% 4.30/4.44 inference(scs_inference,[],[197,226,187,229,201,735,231,2,357,355,354,331,329,710,324,636,635,575,574])).
% 4.30/4.44 cnf(738,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x7381),f4(x7382,x7381,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(744,plain,
% 4.30/4.44 (P45(f34(f34(f14(a1),f4(x7441,f47(a41,a43,a44,a45,a46,a40),a1)),f4(x7441,f5(f21(f38(a36,a2)),a36),a1)))),
% 4.30/4.44 inference(scs_inference,[],[221,197,226,187,229,201,735,738,231,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568])).
% 4.30/4.44 cnf(750,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x7501),f4(x7502,f4(x7503,f4(x7501,x7504,a1),a1),a1)))),
% 4.30/4.44 inference(scs_inference,[],[221,197,226,187,229,201,735,738,231,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494])).
% 4.30/4.44 cnf(769,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x7691),x7691))),
% 4.30/4.44 inference(rename_variables,[],[229])).
% 4.30/4.44 cnf(774,plain,
% 4.30/4.44 (~P45(f34(f34(f33(x7741),x7742),f18(f38(x7741,a2))))),
% 4.30/4.44 inference(rename_variables,[],[236])).
% 4.30/4.44 cnf(777,plain,
% 4.30/4.44 (P45(f34(f34(f33(x7771),x7772),f21(f38(x7771,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(790,plain,
% 4.30/4.44 (P8(x7901,f34(f18(f38(a35,a2)),a39),f34(f34(f33(a35),a39),f18(f38(a35,a2))))),
% 4.30/4.44 inference(scs_inference,[],[221,197,244,226,187,229,201,735,738,231,198,236,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147])).
% 4.30/4.44 cnf(796,plain,
% 4.30/4.44 (E(f4(x7961,f3(a1),a1),x7961)),
% 4.30/4.44 inference(rename_variables,[],[179])).
% 4.30/4.44 cnf(798,plain,
% 4.30/4.44 (E(f20(f19(x7981,x7982),x7982,x7982),x7981)),
% 4.30/4.44 inference(rename_variables,[],[184])).
% 4.30/4.44 cnf(800,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x8001),x8001))),
% 4.30/4.44 inference(rename_variables,[],[229])).
% 4.30/4.44 cnf(805,plain,
% 4.30/4.44 (P45(f34(f34(f33(x8051),x8052),f21(f38(x8051,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(806,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x8061),x8061))),
% 4.30/4.44 inference(rename_variables,[],[187])).
% 4.30/4.44 cnf(809,plain,
% 4.30/4.44 (P45(f34(f34(f33(x8091),x8092),f21(f38(x8091,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(810,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x8101),x8101))),
% 4.30/4.44 inference(rename_variables,[],[187])).
% 4.30/4.44 cnf(813,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x8131),x8131))),
% 4.30/4.44 inference(rename_variables,[],[229])).
% 4.30/4.44 cnf(817,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f34(a39,f47(a41,a43,a44,a45,a46,a40))),f47(a41,a43,a44,a45,a46,a40)))),
% 4.30/4.44 inference(scs_inference,[],[199,221,197,244,226,183,200,189,184,179,187,806,229,769,800,813,227,201,735,738,231,198,777,805,236,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711])).
% 4.30/4.44 cnf(823,plain,
% 4.30/4.44 (~E(f4(x8231,f5(f21(f38(a36,a2)),a36),a1),f4(f47(a41,a43,a44,a45,a46,a40),x8231,a1))),
% 4.30/4.44 inference(scs_inference,[],[199,221,197,244,226,183,200,189,184,179,187,806,810,229,769,800,813,227,201,735,738,203,231,198,777,805,236,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460])).
% 4.30/4.44 cnf(825,plain,
% 4.30/4.44 (~P10(x8251,f33(x8252),x8253)),
% 4.30/4.44 inference(scs_inference,[],[199,221,197,244,226,183,200,189,184,179,187,806,810,229,769,800,813,227,201,735,738,203,231,198,777,805,809,236,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434])).
% 4.30/4.44 cnf(827,plain,
% 4.30/4.44 (P45(f34(f34(f33(x8271),x8272),f21(f38(x8271,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(829,plain,
% 4.30/4.44 (~P7(x8291,f33(x8292),x8293)),
% 4.30/4.44 inference(scs_inference,[],[199,221,197,244,226,183,200,189,184,179,187,806,810,229,769,800,813,227,201,735,738,203,231,198,777,805,809,827,236,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431])).
% 4.30/4.44 cnf(831,plain,
% 4.30/4.44 (P45(f34(f34(f33(x8311),x8312),f21(f38(x8311,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(833,plain,
% 4.30/4.44 (~P45(f34(f34(f27(a1),f5(f21(f38(a36,a2)),a36)),f47(a41,a43,a44,a45,a46,a40)))),
% 4.30/4.44 inference(scs_inference,[],[171,199,221,197,244,226,183,200,189,184,179,187,806,810,229,769,800,813,227,201,735,738,203,231,198,777,805,809,827,236,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425])).
% 4.30/4.44 cnf(843,plain,
% 4.30/4.44 (~P10(f14(a1),x8431,x8432)),
% 4.30/4.44 inference(scs_inference,[],[162,169,171,199,221,197,244,226,183,200,189,184,179,187,806,810,229,769,800,813,227,201,735,738,203,231,198,777,805,809,827,236,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382])).
% 4.30/4.44 cnf(846,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f3(a1)),x8461))),
% 4.30/4.44 inference(rename_variables,[],[190])).
% 4.30/4.44 cnf(853,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),f4(x8531,x8532,a1)),x8532))),
% 4.30/4.44 inference(rename_variables,[],[238])).
% 4.30/4.44 cnf(856,plain,
% 4.30/4.44 (~P45(f34(f34(f33(x8561),x8562),f18(f38(x8561,a2))))),
% 4.30/4.44 inference(rename_variables,[],[236])).
% 4.30/4.44 cnf(859,plain,
% 4.30/4.44 (~P45(f34(f34(f33(x8591),x8592),f18(f38(x8591,a2))))),
% 4.30/4.44 inference(rename_variables,[],[236])).
% 4.30/4.44 cnf(864,plain,
% 4.30/4.44 (~P45(f34(f34(f27(a1),f4(f4(f47(a41,a43,a44,a45,a46,a40),f15(a1),a1),x8641,a1)),f4(f47(a41,a43,a44,a45,a46,a40),x8641,a1)))),
% 4.30/4.44 inference(scs_inference,[],[162,165,169,171,199,221,197,244,226,183,200,189,184,179,187,806,810,229,769,800,813,227,201,735,738,203,231,238,190,198,777,805,809,827,236,774,856,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642])).
% 4.30/4.44 cnf(866,plain,
% 4.30/4.44 (~P45(f34(f34(f27(a1),f4(x8661,f4(x8662,f4(f47(a41,a43,a44,a45,a46,a40),f15(a1),a1),a1),a1)),f4(x8661,f4(x8662,f47(a41,a43,a44,a45,a46,a40),a1),a1)))),
% 4.30/4.44 inference(scs_inference,[],[162,165,169,171,199,221,197,244,226,183,200,189,184,179,187,806,810,229,769,800,813,227,201,735,738,203,231,238,190,198,777,805,809,827,236,774,856,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641])).
% 4.30/4.44 cnf(880,plain,
% 4.30/4.44 (P45(f34(f34(f14(a1),f4(x8801,f4(x8802,f47(a41,a43,a44,a45,a46,a40),a1),a1)),f4(x8801,f4(x8802,f5(f21(f38(a36,a2)),a36),a1),a1)))),
% 4.30/4.44 inference(scs_inference,[],[162,165,169,171,172,174,199,221,197,244,226,183,200,189,184,179,187,806,810,229,769,800,813,227,201,735,738,203,231,238,853,190,846,198,777,805,809,827,236,774,856,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579])).
% 4.30/4.44 cnf(889,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x8891),x8891))),
% 4.30/4.44 inference(rename_variables,[],[187])).
% 4.30/4.44 cnf(892,plain,
% 4.30/4.44 (P45(f34(f34(f33(x8921),x8922),f21(f38(x8921,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(895,plain,
% 4.30/4.44 (~P45(f34(f34(f33(x8951),x8952),f18(f38(x8951,a2))))),
% 4.30/4.44 inference(rename_variables,[],[236])).
% 4.30/4.44 cnf(898,plain,
% 4.30/4.44 (P45(f34(f34(f33(x8981),x8982),f21(f38(x8981,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(901,plain,
% 4.30/4.44 (~P45(f34(f34(f33(x9011),x9012),f18(f38(x9011,a2))))),
% 4.30/4.44 inference(rename_variables,[],[236])).
% 4.30/4.44 cnf(907,plain,
% 4.30/4.44 (P45(f34(f34(f33(x9071),x9072),f21(f38(x9071,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(909,plain,
% 4.30/4.44 (P45(f34(f34(f33(f42(x9091,x9091)),f22(x9092,x9092,x9091,x9091)),f32(x9093,f21(f38(f42(x9091,x9091),a2)),x9091)))),
% 4.30/4.44 inference(scs_inference,[],[155,162,165,169,171,172,174,199,221,197,244,226,183,200,189,184,179,187,806,810,889,229,769,800,813,227,201,735,738,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702])).
% 4.30/4.44 cnf(911,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x9111),x9111))),
% 4.30/4.44 inference(rename_variables,[],[187])).
% 4.30/4.44 cnf(914,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x9141),x9141))),
% 4.30/4.44 inference(rename_variables,[],[187])).
% 4.30/4.44 cnf(916,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),f4(x9161,f4(x9162,x9163,a1),a1)),x9162))),
% 4.30/4.44 inference(scs_inference,[],[155,162,165,169,171,172,174,199,221,197,244,226,183,200,189,184,179,187,806,810,889,911,229,769,800,813,227,201,735,738,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486])).
% 4.30/4.44 cnf(917,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x9171),x9171))),
% 4.30/4.44 inference(rename_variables,[],[229])).
% 4.30/4.44 cnf(920,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x9201),x9201))),
% 4.30/4.44 inference(rename_variables,[],[229])).
% 4.30/4.44 cnf(922,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),f4(x9221,f4(x9222,x9223,a1),a1)),x9223))),
% 4.30/4.44 inference(scs_inference,[],[155,162,165,169,171,172,174,199,221,197,244,226,183,200,189,184,179,187,806,810,889,911,229,769,800,813,917,920,227,201,735,738,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483])).
% 4.30/4.44 cnf(923,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x9231),x9231))),
% 4.30/4.44 inference(rename_variables,[],[229])).
% 4.30/4.44 cnf(926,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x9261),x9261))),
% 4.30/4.44 inference(rename_variables,[],[229])).
% 4.30/4.44 cnf(929,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x9291),f4(x9292,x9291,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(933,plain,
% 4.30/4.44 (P45(f34(f34(f14(a1),f4(f47(a41,a43,a44,a45,a46,a40),x9331,a1)),f4(f5(f21(f38(a36,a2)),a36),f4(x9332,x9331,a1),a1)))),
% 4.30/4.44 inference(scs_inference,[],[155,162,165,169,171,172,174,199,221,197,244,226,183,200,189,184,179,187,806,810,889,911,914,229,769,800,813,917,920,923,227,201,735,738,929,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612])).
% 4.30/4.44 cnf(935,plain,
% 4.30/4.44 (P45(f34(f34(f14(a1),f4(x9351,f47(a41,a43,a44,a45,a46,a40),a1)),f4(f4(x9352,x9351,a1),f5(f21(f38(a36,a2)),a36),a1)))),
% 4.30/4.44 inference(scs_inference,[],[155,162,165,169,171,172,174,199,221,197,244,226,183,200,189,184,179,187,806,810,889,911,914,229,769,800,813,917,920,923,227,201,735,738,929,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611])).
% 4.30/4.44 cnf(940,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x9401),f4(x9402,x9401,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(941,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x9411),x9411))),
% 4.30/4.44 inference(rename_variables,[],[187])).
% 4.30/4.44 cnf(944,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x9441),x9441))),
% 4.30/4.44 inference(rename_variables,[],[187])).
% 4.30/4.44 cnf(945,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f3(a1)),x9451))),
% 4.30/4.44 inference(rename_variables,[],[190])).
% 4.30/4.44 cnf(949,plain,
% 4.30/4.44 (P45(f34(f34(f27(a2),x9491),x9491))),
% 4.30/4.44 inference(scs_inference,[],[155,162,165,169,170,171,172,174,199,221,197,244,226,183,200,189,184,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311])).
% 4.30/4.44 cnf(957,plain,
% 4.30/4.44 (P30(f38(x9571,a1))),
% 4.30/4.44 inference(scs_inference,[],[155,162,165,168,169,170,171,172,173,174,199,221,197,244,226,183,200,189,184,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256])).
% 4.30/4.44 cnf(1058,plain,
% 4.30/4.44 (~E(f22(f21(f38(x10581,a2)),x10582,x10583,x10584),f22(f18(f38(x10581,a2)),x10585,x10583,x10584))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,162,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555])).
% 4.30/4.44 cnf(1060,plain,
% 4.30/4.44 (~E(f22(x10601,f21(f38(x10602,a2)),x10603,x10604),f22(x10605,f18(f38(x10602,a2)),x10603,x10604))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,162,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554])).
% 4.30/4.44 cnf(1064,plain,
% 4.30/4.44 (~E(f4(f21(f38(x10641,a2)),x10642,a1),f4(f18(f38(x10641,a2)),x10642,a1))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,162,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334])).
% 4.30/4.44 cnf(1068,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f18(a1)),x10681))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,162,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322])).
% 4.30/4.44 cnf(1080,plain,
% 4.30/4.44 (P7(f27(a1),f14(a1),a1)),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,162,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284])).
% 4.30/4.44 cnf(1086,plain,
% 4.30/4.44 (~E(f15(a1),f3(a1))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246])).
% 4.30/4.44 cnf(1090,plain,
% 4.30/4.44 (P45(f34(f34(f33(f42(a37,a37)),f22(f21(f38(x10901,a2)),f18(f38(x10901,a2)),a37,a37)),f11(x10902,f18(f38(x10901,a2)))))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666])).
% 4.30/4.44 cnf(1094,plain,
% 4.30/4.44 (P45(f34(f34(f14(a1),x10941),f4(x10941,f15(a1),a1)))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440])).
% 4.30/4.44 cnf(1108,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),f4(f4(x11081,x11082,a1),x11083,a1)),x11082))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573])).
% 4.30/4.44 cnf(1114,plain,
% 4.30/4.44 (P7(f6(f27(a1),a1,a1,a2),f6(f14(a1),a1,a1,a2),a1)),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623])).
% 4.30/4.44 cnf(1116,plain,
% 4.30/4.44 (P10(f6(f27(a1),a1,a1,a2),f6(f14(a1),a1,a1,a2),a1)),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607])).
% 4.30/4.44 cnf(1118,plain,
% 4.30/4.44 (P7(f6(f27(a2),a2,a2,a2),f6(f14(a2),a2,a2,a2),a2)),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606])).
% 4.30/4.44 cnf(1120,plain,
% 4.30/4.44 (P9(f6(f27(a1),a1,a1,a2),f6(f14(a1),a1,a1,a2),a1)),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605])).
% 4.30/4.44 cnf(1128,plain,
% 4.30/4.44 (~P8(f20(f19(f34(f14(a1),f47(a41,a43,a44,a45,a46,a40)),x11281),x11281,x11281),f47(a41,a43,a44,a45,a46,a40),f5(f21(f38(a36,a2)),a36))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,798,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146])).
% 4.30/4.44 cnf(1130,plain,
% 4.30/4.44 (~P7(f12(f14(a1),x11301,f34(f14(a1),x11301),x11302,x11303),x11304,x11305)),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,798,185,214,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134])).
% 4.30/4.44 cnf(1131,plain,
% 4.30/4.44 (~P9(x11311,f25(f19(f27(a1),x11312),x11312,x11312),x11313)),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,798,185,214,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132])).
% 4.30/4.44 cnf(1132,plain,
% 4.30/4.44 (~P9(f12(f14(a1),x11321,f34(f14(a1),x11321),x11322,x11323),x11324,x11325)),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,798,185,214,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131])).
% 4.30/4.44 cnf(1135,plain,
% 4.30/4.44 (~P6(f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),f3(a1)),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44)),f21(f38(f42(f42(a37,a37),f42(a37,a37)),a2)),f34(f12(x11351,x11352,f42(a37,a37),x11353,x11354),x11352))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124])).
% 4.30/4.44 cnf(1136,plain,
% 4.30/4.44 (~P6(f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),f3(a1)),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44)),f4(f21(f38(f42(f42(a37,a37),f42(a37,a37)),a2)),f3(a1),a1),f42(a37,a37))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123])).
% 4.30/4.44 cnf(1137,plain,
% 4.30/4.44 (~P6(f4(f3(a1),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),f3(a1)),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44)),a1),f21(f38(f42(f42(a37,a37),f42(a37,a37)),a2)),f42(a37,a37))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122])).
% 4.30/4.44 cnf(1138,plain,
% 4.30/4.44 (~P4(f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),f3(a1)),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44)),f4(f21(f38(f42(f42(a37,a37),f42(a37,a37)),a2)),f3(a1),a1),f42(a37,a37))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122,117])).
% 4.30/4.44 cnf(1146,plain,
% 4.30/4.44 (~E(a1,x11461)+~P45(f34(f34(f33(f42(a37,a37)),f22(a46,a45,a37,a37)),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),f34(a39,f47(a41,a43,a44,a45,a46,a40))),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44))))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,177,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122,117,115,343,342,267,714])).
% 4.30/4.44 cnf(1148,plain,
% 4.30/4.44 (~E(a1,x11481)+~P45(f34(f34(f27(a1),f4(x11482,f4(f47(a41,a43,a44,a45,a46,a40),f15(a1),a1),a1)),f47(a41,a43,a44,a45,a46,a40)))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,177,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,229,769,800,813,917,920,923,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122,117,115,343,342,267,714,457])).
% 4.30/4.44 cnf(1158,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x11581),f3(a1)))),
% 4.30/4.44 inference(rename_variables,[],[231])).
% 4.30/4.44 cnf(1163,plain,
% 4.30/4.44 (~P45(f34(f34(f33(f42(a37,a37)),f22(x11631,x11632,a37,a37)),f10(x11633,x11632)))),
% 4.30/4.44 inference(rename_variables,[],[240])).
% 4.30/4.44 cnf(1166,plain,
% 4.30/4.44 (~P45(f34(f34(f33(f42(a37,a37)),f22(x11661,x11662,a37,a37)),f10(x11663,x11662)))),
% 4.30/4.44 inference(rename_variables,[],[240])).
% 4.30/4.44 cnf(1171,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x11711),x11711))),
% 4.30/4.44 inference(rename_variables,[],[229])).
% 4.30/4.44 cnf(1173,plain,
% 4.30/4.44 (~E(a1,x11731)+~P45(f34(f34(f27(a1),f4(f5(f21(f38(a36,a2)),a36),x11732,a1)),f47(a41,a43,a44,a45,a46,a40)))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,177,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,229,769,800,813,917,920,923,926,1171,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,240,1163,1166,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122,117,115,343,342,267,714,457,401,391,390,510,709,708,707,706,471,469])).
% 4.30/4.44 cnf(1174,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x11741),x11741))),
% 4.30/4.44 inference(rename_variables,[],[229])).
% 4.30/4.44 cnf(1176,plain,
% 4.30/4.44 (~E(a1,x11761)+~P45(f34(f34(f27(a1),f4(f4(f47(a41,a43,a44,a45,a46,a40),f15(a1),a1),x11762,a1)),f47(a41,a43,a44,a45,a46,a40)))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,177,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,229,769,800,813,917,920,923,926,1171,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,240,1163,1166,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122,117,115,343,342,267,714,457,401,391,390,510,709,708,707,706,471,469,488])).
% 4.30/4.44 cnf(1177,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x11771),f4(x11771,x11772,a1)))),
% 4.30/4.44 inference(rename_variables,[],[203])).
% 4.30/4.44 cnf(1179,plain,
% 4.30/4.44 (~E(a1,x11791)+~P45(f34(f34(f27(a1),f4(x11792,f4(f4(f47(a41,a43,a44,a45,a46,a40),f15(a1),a1),x11793,a1),a1)),f47(a41,a43,a44,a45,a46,a40)))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,177,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,229,769,800,813,917,920,923,926,1171,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,240,1163,1166,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122,117,115,343,342,267,714,457,401,391,390,510,709,708,707,706,471,469,488,487])).
% 4.30/4.44 cnf(1182,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x11821),x11821))),
% 4.30/4.44 inference(rename_variables,[],[229])).
% 4.30/4.44 cnf(1184,plain,
% 4.30/4.44 (~E(a1,x11841)+~P45(f34(f34(f14(a1),f47(a41,a43,a44,a45,a46,a40)),f34(a39,f47(a41,a43,a44,a45,a46,a40))))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,165,168,169,170,171,172,173,174,177,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,229,769,800,813,917,920,923,926,1171,1174,1182,227,201,735,738,929,940,203,231,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,240,1163,1166,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122,117,115,343,342,267,714,457,401,391,390,510,709,708,707,706,471,469,488,487,485,482])).
% 4.30/4.44 cnf(1185,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x11851),x11851))),
% 4.30/4.44 inference(rename_variables,[],[229])).
% 4.30/4.44 cnf(1190,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x11901),x11901))),
% 4.30/4.44 inference(rename_variables,[],[229])).
% 4.30/4.44 cnf(1195,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x11951),x11951))),
% 4.30/4.44 inference(rename_variables,[],[187])).
% 4.30/4.44 cnf(1197,plain,
% 4.30/4.44 (~E(a1,x11971)+P45(f34(f34(f27(a1),f4(f5(f18(f38(x11972,a2)),x11972),f5(f18(f38(x11972,a2)),x11972),a1)),f3(a1)))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,164,165,168,169,170,171,172,173,174,177,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,944,229,769,800,813,917,920,923,926,1171,1174,1182,1185,227,201,735,738,929,940,203,231,1158,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,240,1163,1166,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122,117,115,343,342,267,714,457,401,391,390,510,709,708,707,706,471,469,488,487,485,482,472,470,523,654,587])).
% 4.30/4.44 cnf(1200,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x12001),x12001))),
% 4.30/4.44 inference(rename_variables,[],[187])).
% 4.30/4.44 cnf(1203,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x12031),x12031))),
% 4.30/4.44 inference(rename_variables,[],[187])).
% 4.30/4.44 cnf(1205,plain,
% 4.30/4.44 (~E(a1,x12051)+P45(f34(f34(f14(a1),f3(a1)),f4(f4(f15(a1),f15(a1),a1),f4(f15(a1),f15(a1),a1),a1)))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,158,161,162,163,164,165,168,169,170,171,172,173,174,177,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,944,1195,1200,229,769,800,813,917,920,923,926,1171,1174,1182,1185,227,201,735,738,929,940,203,231,1158,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,240,1163,1166,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122,117,115,343,342,267,714,457,401,391,390,510,709,708,707,706,471,469,488,487,485,482,472,470,523,654,587,542,541,540])).
% 4.30/4.44 cnf(1209,plain,
% 4.30/4.44 (~E(a1,x12091)+P45(f34(f34(f14(a1),f23(f3(a1),f15(a1),a1)),f23(f15(a1),f15(a1),a1)))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,157,158,159,160,161,162,163,164,165,168,169,170,171,172,173,174,177,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,944,1195,1200,1203,229,769,800,813,917,920,923,926,1171,1174,1182,1185,227,201,735,738,929,940,203,231,1158,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,240,1163,1166,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122,117,115,343,342,267,714,457,401,391,390,510,709,708,707,706,471,469,488,487,485,482,472,470,523,654,587,542,541,540,318,645])).
% 4.30/4.44 cnf(1210,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x12101),x12101))),
% 4.30/4.44 inference(rename_variables,[],[187])).
% 4.30/4.44 cnf(1212,plain,
% 4.30/4.44 (~E(a1,x12121)+P45(f34(f34(f27(a1),x12122),f4(f4(x12122,x12123,a1),f3(a1),a1)))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,157,158,159,160,161,162,163,164,165,166,168,169,170,171,172,173,174,177,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,944,1195,1200,1203,1210,229,769,800,813,917,920,923,926,1171,1174,1182,1185,227,201,735,738,929,940,203,1177,231,1158,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,240,1163,1166,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122,117,115,343,342,267,714,457,401,391,390,510,709,708,707,706,471,469,488,487,485,482,472,470,523,654,587,542,541,540,318,645,528])).
% 4.30/4.44 cnf(1213,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x12131),x12131))),
% 4.30/4.44 inference(rename_variables,[],[187])).
% 4.30/4.44 cnf(1215,plain,
% 4.30/4.44 (~E(a1,x12151)+P45(f34(f34(f27(a1),f4(f47(a41,a43,a44,a45,a46,a40),f15(a1),a1)),f4(f3(a1),f4(x12152,f4(x12153,f4(f47(a41,a43,a44,a45,a46,a40),f15(a1),a1),a1),a1),a1)))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,157,158,159,160,161,162,163,164,165,166,168,169,170,171,172,173,174,177,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,944,1195,1200,1203,1210,1213,229,769,800,813,917,920,923,926,1171,1174,1182,1185,227,201,735,738,929,940,203,1177,231,1158,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,240,1163,1166,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122,117,115,343,342,267,714,457,401,391,390,510,709,708,707,706,471,469,488,487,485,482,472,470,523,654,587,542,541,540,318,645,528,527])).
% 4.30/4.44 cnf(1216,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x12161),x12161))),
% 4.30/4.44 inference(rename_variables,[],[187])).
% 4.30/4.44 cnf(1218,plain,
% 4.30/4.44 (~E(a1,x12181)+~P45(f34(f34(f27(a1),f4(f15(a1),x12182,a1)),x12182))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,157,158,159,160,161,162,163,164,165,166,168,169,170,171,172,173,174,177,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,944,1195,1200,1203,1210,1213,229,769,800,813,917,920,923,926,1171,1174,1182,1185,1190,227,201,735,738,929,940,203,1177,231,1158,238,853,190,846,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,240,1163,1166,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122,117,115,343,342,267,714,457,401,391,390,510,709,708,707,706,471,469,488,487,485,482,472,470,523,654,587,542,541,540,318,645,528,527,526])).
% 4.30/4.44 cnf(1222,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x12221),x12221))),
% 4.30/4.44 inference(rename_variables,[],[187])).
% 4.30/4.44 cnf(1225,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f3(a1)),x12251))),
% 4.30/4.44 inference(rename_variables,[],[190])).
% 4.30/4.44 cnf(1243,plain,
% 4.30/4.44 (~E(a1,x12431)+~P26(f17(f17(a1,f38(x12432,a2)),f38(x12432,a2)))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,157,158,159,160,161,162,163,164,165,166,168,169,170,171,172,173,174,177,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,944,1195,1200,1203,1210,1213,1216,1222,229,769,800,813,917,920,923,926,1171,1174,1182,1185,1190,191,227,201,735,738,929,940,203,1177,231,1158,238,853,190,846,945,1225,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,240,1163,1166,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122,117,115,343,342,267,714,457,401,391,390,510,709,708,707,706,471,469,488,487,485,482,472,470,523,654,587,542,541,540,318,645,528,527,526,525,504,503,304,323,328,297,662,138,119,101])).
% 4.30/4.44 cnf(1254,plain,
% 4.30/4.44 (~E(a1,x12541)+P45(f34(f34(f14(a1),f3(a1)),f23(f15(a1),x12542,a1)))),
% 4.30/4.44 inference(scs_inference,[],[151,153,154,155,157,158,159,160,161,162,163,164,165,166,168,169,170,171,172,173,174,176,177,199,221,197,244,226,224,183,200,189,184,798,185,214,216,179,796,180,187,806,810,889,911,914,941,944,1195,1200,1203,1210,1213,1216,1222,229,769,800,813,917,920,923,926,1171,1174,1182,1185,1190,191,227,201,735,738,929,940,203,1177,231,1158,238,853,190,846,945,1225,198,777,805,809,827,831,892,898,907,236,774,856,859,895,901,240,1163,1166,237,225,2,357,355,354,331,329,710,324,636,635,575,574,570,569,568,567,496,494,492,490,374,350,345,327,660,634,687,693,664,648,694,678,686,684,669,148,147,139,121,118,116,90,3,524,505,435,432,387,380,711,603,602,460,434,431,425,423,422,421,420,382,377,362,360,347,701,700,704,642,641,640,639,583,582,581,580,579,578,577,576,517,682,681,680,679,671,691,702,618,486,484,483,481,456,613,612,611,610,630,644,337,311,269,258,257,256,255,254,253,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,713,712,675,661,555,554,340,334,333,322,321,319,317,286,285,284,279,265,246,668,666,665,440,370,325,283,251,250,703,573,418,458,623,607,606,605,508,518,445,146,135,134,132,131,128,127,124,123,122,117,115,343,342,267,714,457,401,391,390,510,709,708,707,706,471,469,488,487,485,482,472,470,523,654,587,542,541,540,318,645,528,527,526,525,504,503,304,323,328,297,662,138,119,101,341,266,447,400,402,514])).
% 4.30/4.44 cnf(1276,plain,
% 4.30/4.44 (~P45(f34(f34(f33(f42(a37,a37)),f22(a46,a45,a37,a37)),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),f34(a39,f47(a41,a43,a44,a45,a46,a40))),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44))))),
% 4.30/4.44 inference(equality_inference,[],[1146])).
% 4.30/4.44 cnf(1277,plain,
% 4.30/4.44 (~P45(f34(f34(f27(a1),f4(x12771,f4(f47(a41,a43,a44,a45,a46,a40),f15(a1),a1),a1)),f47(a41,a43,a44,a45,a46,a40)))),
% 4.30/4.44 inference(equality_inference,[],[1148])).
% 4.30/4.44 cnf(1287,plain,
% 4.30/4.44 (~P45(f34(f34(f27(a1),f4(f5(f21(f38(a36,a2)),a36),x12871,a1)),f47(a41,a43,a44,a45,a46,a40)))),
% 4.30/4.44 inference(equality_inference,[],[1173])).
% 4.30/4.44 cnf(1288,plain,
% 4.30/4.44 (~P45(f34(f34(f27(a1),f4(f4(f47(a41,a43,a44,a45,a46,a40),f15(a1),a1),x12881,a1)),f47(a41,a43,a44,a45,a46,a40)))),
% 4.30/4.44 inference(equality_inference,[],[1176])).
% 4.30/4.44 cnf(1289,plain,
% 4.30/4.44 (~P45(f34(f34(f27(a1),f4(x12891,f4(f4(f47(a41,a43,a44,a45,a46,a40),f15(a1),a1),x12892,a1),a1)),f47(a41,a43,a44,a45,a46,a40)))),
% 4.30/4.44 inference(equality_inference,[],[1179])).
% 4.30/4.44 cnf(1291,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),f47(a41,a43,a44,a45,a46,a40)),f34(a39,f47(a41,a43,a44,a45,a46,a40))))),
% 4.30/4.44 inference(equality_inference,[],[1184])).
% 4.30/4.44 cnf(1296,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f4(f5(f18(f38(x12961,a2)),x12961),f5(f18(f38(x12961,a2)),x12961),a1)),f3(a1)))),
% 4.30/4.44 inference(equality_inference,[],[1197])).
% 4.30/4.44 cnf(1299,plain,
% 4.30/4.44 (P45(f34(f34(f14(a1),f3(a1)),f4(f4(f15(a1),f15(a1),a1),f4(f15(a1),f15(a1),a1),a1)))),
% 4.30/4.44 inference(equality_inference,[],[1205])).
% 4.30/4.44 cnf(1300,plain,
% 4.30/4.44 (P45(f34(f34(f14(a1),f23(f3(a1),f15(a1),a1)),f23(f15(a1),f15(a1),a1)))),
% 4.30/4.44 inference(equality_inference,[],[1209])).
% 4.30/4.44 cnf(1301,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x13011),f4(f4(x13011,x13012,a1),f3(a1),a1)))),
% 4.30/4.44 inference(equality_inference,[],[1212])).
% 4.30/4.44 cnf(1302,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f4(f47(a41,a43,a44,a45,a46,a40),f15(a1),a1)),f4(f3(a1),f4(x13021,f4(x13022,f4(f47(a41,a43,a44,a45,a46,a40),f15(a1),a1),a1),a1),a1)))),
% 4.30/4.44 inference(equality_inference,[],[1215])).
% 4.30/4.44 cnf(1303,plain,
% 4.30/4.44 (~P45(f34(f34(f27(a1),f4(f15(a1),x13031,a1)),x13031))),
% 4.30/4.44 inference(equality_inference,[],[1218])).
% 4.30/4.44 cnf(1310,plain,
% 4.30/4.44 (~P26(f17(f17(a1,f38(x13101,a2)),f38(x13101,a2)))),
% 4.30/4.44 inference(equality_inference,[],[1243])).
% 4.30/4.44 cnf(1314,plain,
% 4.30/4.44 (P45(f34(f34(f14(a1),f3(a1)),f23(f15(a1),x13141,a1)))),
% 4.30/4.44 inference(equality_inference,[],[1254])).
% 4.30/4.44 cnf(1323,plain,
% 4.30/4.44 (~E(f4(f15(a1),x13231,a1),f3(a1))),
% 4.30/4.44 inference(scs_inference,[],[1086,299])).
% 4.30/4.44 cnf(1325,plain,
% 4.30/4.44 (~E(f4(x13251,f15(a1),a1),f3(a1))),
% 4.30/4.44 inference(scs_inference,[],[1086,299,298])).
% 4.30/4.44 cnf(1332,plain,
% 4.30/4.44 (P45(f34(f34(f14(a1),x13321),f4(x13321,f15(a1),a1)))),
% 4.30/4.44 inference(rename_variables,[],[1094])).
% 4.30/4.44 cnf(1335,plain,
% 4.30/4.44 (P45(f34(f34(f33(x13351),x13352),f21(f38(x13351,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(1338,plain,
% 4.30/4.44 (~E(f22(f21(f38(x13381,a2)),x13382,x13383,x13384),f22(f18(f38(x13381,a2)),x13385,x13383,x13384))),
% 4.30/4.44 inference(rename_variables,[],[1058])).
% 4.30/4.44 cnf(1339,plain,
% 4.30/4.44 (~E(f22(x13391,f21(f38(x13392,a2)),x13393,x13394),f22(x13395,f18(f38(x13392,a2)),x13393,x13394))),
% 4.30/4.44 inference(rename_variables,[],[1060])).
% 4.30/4.44 cnf(1340,plain,
% 4.30/4.44 (P45(f34(f34(f33(x13401),x13402),f21(f38(x13401,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(1346,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x13461),f4(x13462,x13461,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(1348,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f3(a1)),x13481))),
% 4.30/4.44 inference(rename_variables,[],[190])).
% 4.30/4.44 cnf(1363,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x13631),x13631))),
% 4.30/4.44 inference(rename_variables,[],[187])).
% 4.30/4.44 cnf(1366,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x13661),f4(x13662,f4(x13663,f4(x13661,x13664,a1),a1),a1)))),
% 4.30/4.44 inference(rename_variables,[],[750])).
% 4.30/4.44 cnf(1369,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f3(a1)),x13691))),
% 4.30/4.44 inference(rename_variables,[],[190])).
% 4.30/4.44 cnf(1372,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f3(a1)),x13721))),
% 4.30/4.44 inference(rename_variables,[],[190])).
% 4.30/4.44 cnf(1376,plain,
% 4.30/4.44 (~P45(f34(f34(f33(x13761),x13762),f18(f38(x13761,a2))))),
% 4.30/4.44 inference(rename_variables,[],[236])).
% 4.30/4.44 cnf(1381,plain,
% 4.30/4.44 (P45(f34(f34(f14(a1),f3(a1)),f23(f4(f4(f15(a1),f15(a1),a1),f4(f15(a1),f15(a1),a1),a1),x13811,a1)))),
% 4.30/4.44 inference(scs_inference,[],[201,190,1348,1369,198,1335,236,157,159,160,158,187,165,155,227,1058,1060,833,1299,1277,734,750,1094,1301,1296,1064,957,1120,1116,1086,1080,299,298,624,622,455,699,698,454,539,320,309,336,310,357,329,710,636,457,402,382,642,514])).
% 4.30/4.44 cnf(1384,plain,
% 4.30/4.44 (~P45(f34(f34(f33(x13841),x13842),f18(f38(x13841,a2))))),
% 4.30/4.44 inference(rename_variables,[],[236])).
% 4.30/4.44 cnf(1387,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),f4(x13871,f4(x13872,x13873,a1),a1)),x13872))),
% 4.30/4.44 inference(rename_variables,[],[916])).
% 4.30/4.44 cnf(1390,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x13901),f4(x13902,x13901,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(1393,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f3(a1)),x13931))),
% 4.30/4.44 inference(rename_variables,[],[190])).
% 4.30/4.44 cnf(1396,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),f4(x13961,x13962,a1)),x13962))),
% 4.30/4.44 inference(rename_variables,[],[238])).
% 4.30/4.44 cnf(1399,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x13991),f4(x13992,x13991,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(1402,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),f4(x14021,f4(x14022,x14023,a1),a1)),x14023))),
% 4.30/4.44 inference(rename_variables,[],[922])).
% 4.30/4.44 cnf(1407,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f3(a1)),x14071))),
% 4.30/4.44 inference(rename_variables,[],[190])).
% 4.30/4.44 cnf(1409,plain,
% 4.30/4.44 (~E(f4(f4(f15(a1),f3(a1),a1),f4(f15(a1),f3(a1),a1),a1),f3(a1))),
% 4.30/4.44 inference(scs_inference,[],[224,201,1346,1390,1399,238,190,1348,1369,1372,1393,198,1335,236,1376,157,159,160,237,158,187,164,169,162,165,155,221,227,1058,1060,1291,833,1299,916,922,1277,734,750,1094,1301,1296,1064,957,1120,1116,1086,1080,299,298,624,622,455,699,698,454,539,320,309,336,310,357,329,710,636,457,402,382,642,514,682,471,469,487,485,482,523,318,645,504])).
% 4.30/4.44 cnf(1410,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x14101),f4(x14102,x14101,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(1411,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x14111),f4(x14112,x14111,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(1414,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f3(a1)),x14141))),
% 4.30/4.44 inference(rename_variables,[],[190])).
% 4.30/4.44 cnf(1415,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x14151),f4(x14152,x14151,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(1417,plain,
% 4.30/4.44 (~P33(a1)),
% 4.30/4.44 inference(scs_inference,[],[224,201,1346,1390,1399,1411,238,190,1348,1369,1372,1393,1407,198,1335,236,1376,157,159,160,237,158,187,164,169,162,165,155,221,227,1058,1060,1291,833,1299,916,922,1277,1303,734,750,1094,1301,1296,1064,957,1120,1116,1086,1080,299,298,624,622,455,699,698,454,539,320,309,336,310,357,329,710,636,457,402,382,642,514,682,471,469,487,485,482,523,318,645,504,503,319])).
% 4.30/4.44 cnf(1418,plain,
% 4.30/4.44 (~P45(f34(f34(f27(a1),f4(f15(a1),x14181,a1)),x14181))),
% 4.30/4.44 inference(rename_variables,[],[1303])).
% 4.30/4.44 cnf(1421,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),f4(x14211,x14212,a1)),x14211))),
% 4.30/4.44 inference(rename_variables,[],[239])).
% 4.30/4.44 cnf(1426,plain,
% 4.30/4.44 (P45(f34(f34(f33(x14261),x14262),f21(f38(x14261,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(1429,plain,
% 4.30/4.44 (P45(f34(f34(f33(x14291),x14292),f21(f38(x14291,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(1432,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),f4(x14321,x14322,a1)),x14321))),
% 4.30/4.44 inference(rename_variables,[],[239])).
% 4.30/4.44 cnf(1435,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x14351),f4(x14352,x14351,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(1436,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x14361),f4(x14362,x14361,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(1439,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f3(a1)),x14391))),
% 4.30/4.44 inference(rename_variables,[],[190])).
% 4.30/4.44 cnf(1445,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x14451),f4(x14452,x14451,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(1446,plain,
% 4.30/4.44 (~P45(f34(f34(f27(a1),f4(f15(a1),x14461,a1)),x14461))),
% 4.30/4.44 inference(rename_variables,[],[1303])).
% 4.30/4.44 cnf(1458,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f3(a1)),x14581))),
% 4.30/4.44 inference(rename_variables,[],[190])).
% 4.30/4.44 cnf(1461,plain,
% 4.30/4.44 (~P45(f34(f34(f27(a1),f4(f15(a1),x14611,a1)),x14611))),
% 4.30/4.44 inference(rename_variables,[],[1303])).
% 4.30/4.44 cnf(1475,plain,
% 4.30/4.44 (P45(f34(f34(f33(f42(a37,a37)),f22(f21(f38(x14751,a2)),f18(f38(x14751,a2)),a37,a37)),f11(x14752,f18(f38(x14751,a2)))))),
% 4.30/4.44 inference(rename_variables,[],[1090])).
% 4.30/4.44 cnf(1476,plain,
% 4.30/4.44 (~P45(f34(f34(f33(f42(a37,a37)),f22(x14761,x14762,a37,a37)),f11(x14763,x14761)))),
% 4.30/4.44 inference(rename_variables,[],[241])).
% 4.30/4.44 cnf(1480,plain,
% 4.30/4.44 (~P45(f34(f34(f33(f42(a37,a37)),f22(x14801,x14802,a37,a37)),f11(x14803,x14801)))),
% 4.30/4.44 inference(rename_variables,[],[241])).
% 4.30/4.44 cnf(1483,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f3(a1)),x14831))),
% 4.30/4.44 inference(rename_variables,[],[190])).
% 4.30/4.44 cnf(1486,plain,
% 4.30/4.44 (~P45(f34(f34(f27(a1),f4(f15(a1),x14861,a1)),x14861))),
% 4.30/4.44 inference(rename_variables,[],[1303])).
% 4.30/4.44 cnf(1487,plain,
% 4.30/4.44 (P45(f34(f34(f33(x14871),x14872),f21(f38(x14871,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(1495,plain,
% 4.30/4.44 (P45(f34(f34(f33(f42(a37,a37)),f22(a45,a46,a37,a37)),f34(a41,f34(f6(f34(f6(f7(f13(f38(f42(a37,a37),a2)),f34(f6(f7(f14(a1),a40,a1,f38(a1,a2),a36),a36,a1,a2),f34(a39,f47(a41,a43,a44,a45,a46,a40))),a2,f38(f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a36),a36,f38(f42(a37,a37),a2),f38(f38(f42(a37,a37),a2),f38(f42(a37,a37),a2))),a43),a36,f38(f42(a37,a37),a2),f38(f42(a37,a37),a2)),a44))))),
% 4.30/4.44 inference(scs_inference,[],[241,1476,239,1421,224,201,1346,1390,1399,1411,1415,1435,1410,238,190,1348,1369,1372,1393,1407,1414,1439,1458,198,1335,1340,1426,1429,236,1376,1384,157,159,160,237,158,166,187,1363,172,171,164,169,162,165,155,221,227,1058,1060,1291,1090,1475,833,1299,916,922,1277,1288,1303,1418,1446,1461,1068,734,750,744,1276,730,933,1094,1301,1296,1064,957,1120,1116,1086,1118,1080,299,298,624,622,455,699,698,454,539,320,309,336,310,357,329,710,636,457,402,382,642,514,682,471,469,487,485,482,523,318,645,504,503,319,492,579,681,691,611,630,644,573,603,420,362,578,679,587,496,432,486,481,328,575,708,707,528,400,355,354,331,712])).
% 4.30/4.44 cnf(1505,plain,
% 4.30/4.44 (E(f4(x15051,f3(a1),a1),x15051)),
% 4.30/4.44 inference(rename_variables,[],[179])).
% 4.30/4.44 cnf(1507,plain,
% 4.30/4.44 (E(f34(f7(x15071,x15072,x15073,x15074,x15075),x15076),f34(x15071,f34(x15072,x15076)))),
% 4.30/4.44 inference(rename_variables,[],[218])).
% 4.30/4.44 cnf(1516,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x15161),f4(x15161,f5(f18(f38(x15162,a2)),x15162),a1)))),
% 4.30/4.44 inference(scs_inference,[],[196,233,241,1476,239,1421,218,224,184,179,180,201,1346,1390,1399,1411,1415,1435,1410,238,190,1348,1369,1372,1393,1407,1414,1439,1458,198,1335,1340,1426,1429,236,1376,1384,157,159,160,237,158,166,187,1363,153,172,171,164,169,162,165,155,221,227,728,829,1058,1060,1291,1128,1090,1475,833,1299,1135,916,922,1277,1288,1303,1418,1446,1461,1300,1068,734,750,744,1276,730,933,1094,1301,1296,1064,957,1120,1116,1086,1118,1080,299,298,624,622,455,699,698,454,539,320,309,336,310,357,329,710,636,457,402,382,642,514,682,471,469,487,485,482,523,318,645,504,503,319,492,579,681,691,611,630,644,573,603,420,362,578,679,587,496,432,486,481,328,575,708,707,528,400,355,354,331,712,374,350,327,148,135,124,267,447,380,460])).
% 4.30/4.44 cnf(1517,plain,
% 4.30/4.44 (E(f4(f3(a1),x15171,a1),x15171)),
% 4.30/4.44 inference(rename_variables,[],[180])).
% 4.30/4.44 cnf(1524,plain,
% 4.30/4.44 (P45(f34(f34(f33(x15241),x15242),f21(f38(x15241,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(1525,plain,
% 4.30/4.44 (P45(f34(f34(f33(x15251),x15252),f21(f38(x15251,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(1531,plain,
% 4.30/4.44 (P45(f34(f34(f33(x15311),x15312),f21(f38(x15311,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(1534,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f3(a1)),x15341))),
% 4.30/4.44 inference(rename_variables,[],[190])).
% 4.30/4.44 cnf(1537,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),f3(a1)),x15371))),
% 4.30/4.44 inference(rename_variables,[],[190])).
% 4.30/4.44 cnf(1557,plain,
% 4.30/4.44 (P45(f34(f34(f33(x15571),x15572),f21(f38(x15571,a2))))),
% 4.30/4.44 inference(rename_variables,[],[198])).
% 4.30/4.44 cnf(1560,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x15601),f4(x15602,x15601,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(1570,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x15701),f3(a1)))),
% 4.30/4.44 inference(rename_variables,[],[231])).
% 4.30/4.44 cnf(1575,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x15751),f4(x15752,x15751,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(1578,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),f4(x15781,x15782,a1)),x15781))),
% 4.30/4.44 inference(rename_variables,[],[239])).
% 4.30/4.44 cnf(1582,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),f3(a1)),f4(f5(f18(f38(x15821,a2)),x15821),f5(f18(f38(x15821,a2)),x15821),a1)))),
% 4.30/4.44 inference(scs_inference,[],[196,233,241,1476,1480,239,1421,1432,218,224,184,179,180,201,1346,1390,1399,1411,1415,1435,1445,1560,1410,238,1396,190,1348,1369,1372,1393,1407,1414,1439,1458,1483,1534,198,1335,1340,1426,1429,1487,1525,1531,236,1376,1384,177,157,159,160,183,237,158,231,166,187,1363,153,172,171,164,169,162,165,155,221,227,728,829,1058,1338,1060,1291,1128,949,1090,1475,833,1299,1135,916,922,1402,1277,1288,1287,1303,1418,1446,1461,1289,1300,1068,1314,1302,734,750,1366,744,1276,730,933,935,880,1094,1301,1296,1064,957,1120,1116,1086,1118,1080,299,298,624,622,455,699,698,454,539,320,309,336,310,357,329,710,636,457,402,382,642,514,682,471,469,487,485,482,523,318,645,504,503,319,492,579,681,691,611,630,644,573,603,420,362,578,679,587,496,432,486,481,328,575,708,707,528,400,355,354,331,712,374,350,327,148,135,124,267,447,380,460,425,423,704,671,697,488,472,470,490,345,343,342,422,421,641,680,618,612,434,431,399,484,456,526,574,524])).
% 4.30/4.44 cnf(1593,plain,
% 4.30/4.44 (~P45(f34(f34(f27(a1),f4(f15(a1),x15931,a1)),x15931))),
% 4.30/4.44 inference(rename_variables,[],[1303])).
% 4.30/4.44 cnf(1605,plain,
% 4.30/4.44 (~P45(f34(f34(f27(a1),f4(x16051,f4(x16052,f4(f47(a41,a43,a44,a45,a46,a40),f15(a1),a1),a1),a1)),f4(x16051,f4(x16052,f47(a41,a43,a44,a45,a46,a40),a1),a1)))),
% 4.30/4.44 inference(rename_variables,[],[866])).
% 4.30/4.44 cnf(1606,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x16061),f4(x16062,x16061,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(1610,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x16101),f4(x16102,x16101,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(1616,plain,
% 4.30/4.44 (E(f4(f3(a1),x16161,a1),x16161)),
% 4.30/4.44 inference(rename_variables,[],[180])).
% 4.30/4.44 cnf(1618,plain,
% 4.30/4.44 (E(f4(f3(a1),x16181,a1),x16181)),
% 4.30/4.44 inference(rename_variables,[],[180])).
% 4.30/4.44 cnf(1620,plain,
% 4.30/4.44 (E(f4(x16201,x16202,a1),f4(x16202,x16201,a1))),
% 4.30/4.44 inference(rename_variables,[],[188])).
% 4.30/4.44 cnf(1622,plain,
% 4.30/4.44 (E(f4(x16221,x16222,a1),f4(x16222,x16221,a1))),
% 4.30/4.44 inference(rename_variables,[],[188])).
% 4.30/4.44 cnf(1628,plain,
% 4.30/4.44 (E(f34(f12(x16281,x16282,x16283,x16284,x16285),x16282),x16283)),
% 4.30/4.44 inference(rename_variables,[],[216])).
% 4.30/4.44 cnf(1632,plain,
% 4.30/4.44 (~E(f21(f38(x16321,a2)),f18(f38(x16321,a2)))),
% 4.30/4.44 inference(rename_variables,[],[227])).
% 4.30/4.44 cnf(1638,plain,
% 4.30/4.44 (P45(f34(f34(f14(a1),f15(a1)),f23(f4(f15(a1),f15(a1),a1),f4(f4(f15(a1),f15(a1),a1),f4(f15(a1),f15(a1),a1),a1),a1)))),
% 4.30/4.44 inference(scs_inference,[],[192,196,233,241,1476,1480,239,1421,1432,188,1620,1622,218,1507,206,224,184,179,1505,180,1517,1616,1618,201,1346,1390,1399,1411,1415,1435,1445,1560,1575,1606,1410,238,1396,190,1348,1369,1372,1393,1407,1414,1439,1458,1483,1534,1537,198,1335,1340,1426,1429,1487,1525,1531,236,1376,1384,176,177,216,157,159,160,183,237,158,173,174,231,203,166,187,1363,153,172,171,164,169,162,165,155,221,227,728,825,829,909,1131,1058,1338,1060,1291,1128,1138,949,1090,1475,833,1299,1135,916,1387,922,1402,1108,1277,1288,1287,1303,1418,1446,1461,1486,1593,1289,1300,1068,1314,1302,734,750,1366,744,1276,730,1136,933,935,880,866,1094,1332,1301,1310,1137,1296,823,1064,957,1120,1116,1086,1118,1080,299,298,624,622,455,699,698,454,539,320,309,336,310,357,329,710,636,457,402,382,642,514,682,471,469,487,485,482,523,318,645,504,503,319,492,579,681,691,611,630,644,573,603,420,362,578,679,587,496,432,486,481,328,575,708,707,528,400,355,354,331,712,374,350,327,148,135,124,267,447,380,460,425,423,704,671,697,488,472,470,490,345,343,342,422,421,641,680,618,612,434,431,399,484,456,526,574,524,582,347,483,613,5,494,709,706,527,525,360,147,132,128,123,122,118,117,116,101,90,2,3,114,111,558,533])).
% 4.30/4.44 cnf(1653,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x16531),f3(a1)))),
% 4.30/4.44 inference(rename_variables,[],[231])).
% 4.30/4.44 cnf(1656,plain,
% 4.30/4.44 (~P45(f34(f34(f14(a1),x16561),f3(a1)))),
% 4.30/4.44 inference(rename_variables,[],[231])).
% 4.30/4.44 cnf(1665,plain,
% 4.30/4.44 (~P45(f34(f34(f33(f42(a37,a37)),f22(x16651,x16652,a37,a37)),f11(x16653,x16651)))),
% 4.30/4.44 inference(rename_variables,[],[241])).
% 4.30/4.44 cnf(1668,plain,
% 4.30/4.44 (P45(f34(f34(f27(a1),x16681),f4(x16682,x16681,a1)))),
% 4.30/4.44 inference(rename_variables,[],[201])).
% 4.30/4.44 cnf(1703,plain,
% 4.30/4.44 (~P22(f34(f12(x17031,x17032,a1,x17033,x17034),x17032))),
% 4.30/4.44 inference(scs_inference,[],[192,196,233,241,1476,1480,1665,239,1421,1432,1578,182,188,1620,1622,218,1507,206,199,224,200,189,184,179,1505,180,1517,1616,1618,201,1346,1390,1399,1411,1415,1435,1445,1560,1575,1606,1610,1410,1436,1668,238,1396,190,1348,1369,1372,1393,1407,1414,1439,1458,1483,1534,1537,198,1335,1340,1426,1429,1487,1525,1531,1557,1524,236,1376,1384,176,177,216,1628,157,159,160,183,237,158,173,174,231,1570,1653,1656,203,166,187,1363,153,172,171,164,169,162,165,155,221,227,1632,728,825,829,909,1131,1058,1338,1060,1339,1291,1128,1130,1132,1138,949,1090,1475,833,1299,1135,916,1387,922,1402,1108,1277,1288,1287,1303,1418,1446,1461,1486,1593,1289,1300,1068,1314,1302,734,750,1366,744,1276,730,864,1136,933,935,880,866,1605,1094,1332,1301,1310,790,1137,843,1296,823,1064,1114,957,1120,1116,1086,1118,1080,299,298,624,622,455,699,698,454,539,320,309,336,310,357,329,710,636,457,402,382,642,514,682,471,469,487,485,482,523,318,645,504,503,319,492,579,681,691,611,630,644,573,603,420,362,578,679,587,496,432,486,481,328,575,708,707,528,400,355,354,331,712,374,350,327,148,135,124,267,447,380,460,425,423,704,671,697,488,472,470,490,345,343,342,422,421,641,680,618,612,434,431,399,484,456,526,574,524,582,347,483,613,5,494,709,706,527,525,360,147,132,128,123,122,118,117,116,101,90,2,3,114,111,558,533,653,651,617,616,551,397,368,505,517,540,701,429,541,570,391,390,377,324,139,134,387,700,542,569,654,401,121,131,127,142])).
% 4.30/4.44 cnf(1728,plain,
% 4.30/4.44 (E(f17(f17(x17281,f38(x17282,a2)),f38(x17282,a2)),x17281)),
% 4.30/4.44 inference(rename_variables,[],[191])).
% 4.30/4.44 cnf(1730,plain,
% 4.30/4.44 (E(f17(f17(x17301,f38(x17302,a2)),f38(x17302,a2)),x17301)),
% 4.30/4.44 inference(rename_variables,[],[191])).
% 4.30/4.44 cnf(1756,plain,
% 4.30/4.44 ($false),
% 4.30/4.44 inference(scs_inference,[],[219,239,191,1728,1730,201,190,159,160,157,158,171,169,221,155,227,1495,1703,1582,1381,817,1638,1516,737,1409,1323,1325,1417,363,301,145,130,651,455,616,397,368,320,142,111,457,533,617,710]),
% 4.30/4.44 ['proof']).
% 4.30/4.44 % SZS output end Proof
% 4.30/4.44 % Total time :3.580000s
%------------------------------------------------------------------------------