TSTP Solution File: SCT086-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SCT086-1 : 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 : n031.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 14:10:06 EDT 2023
% Result : Unsatisfiable 2.82s 2.90s
% Output : CNFRefutation 2.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT086-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 15:25:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 2.61/2.86 %-------------------------------------------
% 2.61/2.86 % File :CSE---1.6
% 2.61/2.86 % Problem :theBenchmark
% 2.61/2.86 % Transform :cnf
% 2.61/2.86 % Format :tptp:raw
% 2.61/2.86 % Command :java -jar mcs_scs.jar %d %s
% 2.61/2.86
% 2.61/2.86 % Result :Theorem 2.030000s
% 2.61/2.86 % Output :CNFRefutation 2.030000s
% 2.61/2.86 %-------------------------------------------
% 2.61/2.86 %------------------------------------------------------------------------------
% 2.61/2.86 % File : SCT086-1 : TPTP v8.1.2. Released v4.1.0.
% 2.61/2.86 % Domain : Social Choice Theory
% 2.61/2.86 % Problem : Arrow Order 281_5
% 2.61/2.86 % Version : Especial.
% 2.61/2.86 % English : Formalization of two proofs of Arrow's impossibility theorem. One
% 2.61/2.86 % formalization is based on utility functions, the other one on
% 2.61/2.86 % strict partial orders.
% 2.61/2.86
% 2.61/2.86 % Refs : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and
% 2.61/2.86 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 2.61/2.86 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 2.61/2.86 % Source : [Nip10]
% 2.61/2.86 % Names : Arrow_Order-281_5 [Nip10]
% 2.61/2.86
% 2.61/2.86 % Status : Unsatisfiable
% 2.61/2.86 % Rating : 0.24 v8.1.0, 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, 0.50 v6.1.0, 0.57 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
% 2.61/2.86 % Syntax : Number of clauses : 560 ( 86 unt; 97 nHn; 376 RR)
% 2.61/2.86 % Number of literals : 1568 ( 234 equ; 929 neg)
% 2.61/2.86 % Maximal clause size : 6 ( 2 avg)
% 2.61/2.86 % Maximal term depth : 12 ( 2 avg)
% 2.61/2.86 % Number of predicates : 47 ( 46 usr; 1 prp; 0-4 aty)
% 2.61/2.86 % Number of functors : 45 ( 45 usr; 12 con; 0-7 aty)
% 2.61/2.86 % Number of variables : 1635 ( 186 sgn)
% 2.61/2.86 % SPC : CNF_UNS_RFO_SEQ_NHN
% 2.61/2.86
% 2.61/2.86 % Comments :
% 2.61/2.86 %------------------------------------------------------------------------------
% 2.61/2.86 cnf(cls_le__eq__neg_1,axiom,
% 2.61/2.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.61/2.86 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)))
% 2.61/2.86 | ~ 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))) ) ).
% 2.61/2.86
% 2.61/2.86 cnf(cls_le__eq__neg_0,axiom,
% 2.61/2.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.61/2.86 | 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)))
% 2.61/2.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a))) ) ).
% 2.61/2.86
% 2.61/2.86 cnf(cls_UNIV__not__empty_0,axiom,
% 2.61/2.86 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.61/2.86
% 2.61/2.86 cnf(cls_add__cancel__end_0,axiom,
% 2.61/2.86 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.61/2.86 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 2.61/2.87 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_minus__add__cancel_0,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.61/2.87 | 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 ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_add__cancel__end_1,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.61/2.87 | 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 ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_add__minus__cancel_0,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.61/2.87 | 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 ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_minus__add__distrib_0,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.61/2.87 | 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) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_minus__add_0,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.61/2.87 | 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) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_minus__less__iff_1,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.61/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b))
% 2.61/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a)) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_minus__less__iff_0,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.61/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a))
% 2.61/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b)) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_less__minus__iff_1,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.61/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)))
% 2.61/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_less__minus__iff_0,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.61/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 2.61/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a))) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_neg__less__iff__less_1,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.61/2.87 | 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)))
% 2.61/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_neg__less__iff__less_0,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.61/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.61/2.87 | ~ 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))) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_minus__le__iff_1,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.61/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b))
% 2.61/2.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a)) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_minus__le__iff_0,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.61/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a))
% 2.61/2.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b)) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_le__minus__iff_1,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.61/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)))
% 2.61/2.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_le__minus__iff_0,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.61/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 2.61/2.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a))) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_neg__le__iff__le_0,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.61/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 2.61/2.87 | ~ 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))) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_le__imp__neg__le_0,axiom,
% 2.61/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.61/2.87 | 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)))
% 2.61/2.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_bot__least_0,axiom,
% 2.61/2.87 ( ~ class_Orderings_Obot(T_a)
% 2.61/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_bex__empty_0,axiom,
% 2.61/2.87 ( ~ hBOOL(hAPP(V_P,V_x))
% 2.61/2.87 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_ComplD_0,axiom,
% 2.61/2.87 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 2.61/2.87 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)))) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_ComplI_0,axiom,
% 2.61/2.87 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))))
% 2.61/2.87 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_emptyE_0,axiom,
% 2.61/2.87 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 2.61/2.87
% 2.61/2.87 cnf(cls_empty__iff_0,axiom,
% 2.71/2.87 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_ball__empty_0,axiom,
% 2.71/2.87 ( hBOOL(hAPP(V_P,V_x))
% 2.71/2.87 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_ex__in__conv_0,axiom,
% 2.71/2.87 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_minus__equation__iff_1,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.87 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_equation__minus__iff_1,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.87 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_equation__minus__iff_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.87 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_double__compl_0,axiom,
% 2.71/2.87 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.71/2.87 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_minus__minus_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.87 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_double__complement_0,axiom,
% 2.71/2.87 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 ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_minus__divide__left_0,axiom,
% 2.71/2.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.87 | 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) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_minus__divide__right_0,axiom,
% 2.71/2.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.87 | 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) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_neg__equal__zero_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.71/2.87 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 2.71/2.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_nonzero__minus__divide__divide_0,axiom,
% 2.71/2.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.87 | 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)
% 2.71/2.87 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_vimage__Compl_0,axiom,
% 2.71/2.87 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)) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.87 | 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) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_ab__left__minus_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.71/2.87 | 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) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_right__minus_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.87 | 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) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_left__minus_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.87 | 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) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_minus__divide__divide_0,axiom,
% 2.71/2.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.87 | 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) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_inj__on__empty_0,axiom,
% 2.71/2.87 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_neg__0__le__iff__le_1,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 2.71/2.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_neg__0__le__iff__le_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.71/2.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.87 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 2.71/2.87 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_neg__less__0__iff__less_1,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.87 | 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)))
% 2.71/2.87 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_neg__less__0__iff__less_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.87 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.71/2.87 | ~ 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))) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_nonzero__minus__divide__right_0,axiom,
% 2.71/2.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.87 | 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)
% 2.71/2.87 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.71/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_a))
% 2.71/2.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_neg__less__eq__nonneg_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.71/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.71/2.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_a)) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.71/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 2.71/2.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_less__eq__neg__nonpos_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.71/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.71/2.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_minus__le__self__iff_1,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_a))
% 2.71/2.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_minus__le__self__iff_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.71/2.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_a)) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_le__minus__self__iff_1,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 2.71/2.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_le__minus__self__iff_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.71/2.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.71/2.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_Image__empty_0,axiom,
% 2.71/2.87 c_Relation_OImage(V_R,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.87 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.87 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_minus__unique_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.87 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.87 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.87 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_compl__top__eq_0,axiom,
% 2.71/2.87 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.71/2.87 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_Compl__UNIV__eq_0,axiom,
% 2.71/2.87 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)) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_bot1E_0,axiom,
% 2.71/2.87 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_compl__eq__compl__iff_0,axiom,
% 2.71/2.87 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.71/2.87 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 2.71/2.87 | V_x = V_y ) ).
% 2.71/2.87
% 2.71/2.87 cnf(cls_neg__equal__iff__equal_0,axiom,
% 2.71/2.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.87 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 2.71/2.87 | V_a = V_b ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 2.71/2.88 ( 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))
% 2.71/2.88 | V_A = V_B ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 2.71/2.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.88 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_neg__le__0__iff__le_1,axiom,
% 2.71/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_neg__le__0__iff__le_0,axiom,
% 2.71/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_total__on__empty_0,axiom,
% 2.71/2.88 c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_neg__equal__zero_1,axiom,
% 2.71/2.88 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.71/2.88 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_minus__zero_0,axiom,
% 2.71/2.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.71/2.88 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_compl__bot__eq_0,axiom,
% 2.71/2.88 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.71/2.88 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_Compl__empty__eq_0,axiom,
% 2.71/2.88 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)) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_neg__0__less__iff__less_1,axiom,
% 2.71/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.88 | 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)))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_neg__0__less__iff__less_0,axiom,
% 2.71/2.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.71/2.88 | ~ 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))) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_vimage__empty_0,axiom,
% 2.71/2.88 c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_less__minus__self__iff_0,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_less__minus__self__iff_1,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_divide__le__0__iff_2,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.71/2.88 | ~ 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))) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_divide__le__0__iff_1,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.71/2.88 | ~ 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))) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_divide__le__0__iff_0,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.71/2.88 | ~ 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))) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_divide__le__0__iff_5,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.88 | 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)))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_divide__le__0__iff_4,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.88 | 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)))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_power__0__Suc_0,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 2.71/2.88 | ~ class_Power_Opower(T_a)
% 2.71/2.88 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_zero__le__power_0,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.71/2.88 | 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)))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_power__one__over_0,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.88 | 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) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_refl__on__Id__on_0,axiom,
% 2.71/2.88 c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_order_Oless__le_1,axiom,
% 2.71/2.88 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x))
% 2.71/2.88 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_order_Ole__less_1,axiom,
% 2.71/2.88 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.71/2.88 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_power__Suc__less__one_0,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a)),c_HOL_Oone__class_Oone(T_a)))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oone__class_Oone(T_a)))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_Domain__Id__on_0,axiom,
% 2.71/2.88 c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_preorder_Oless__le__not__le_2,axiom,
% 2.71/2.88 ( hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.71/2.88 | hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.71/2.88 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_preorder_Oless__irrefl_0,axiom,
% 2.71/2.88 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x))
% 2.71/2.88 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_preorder_Oless__imp__le_0,axiom,
% 2.71/2.88 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.71/2.88 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_divide__self__if_1,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.88 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 2.71/2.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_divide__self_0,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.88 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 2.71/2.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_right__inverse__eq_1,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.88 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 2.71/2.88 | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_zero__le__divide__iff_3,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.71/2.88 | ~ 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))) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_zero__le__divide__iff_2,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.71/2.88 | ~ 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))) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_zero__le__divide__iff_1,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.71/2.88 | ~ 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))) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_zero__le__divide__iff_0,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.71/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.71/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.71/2.88 | ~ 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))) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_power__mono_0,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.71/2.88 | 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)))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_linorder_Oneq__iff_1,axiom,
% 2.71/2.88 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x))
% 2.71/2.88 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_linorder_Onot__less__iff__gr__or__eq_2,axiom,
% 2.71/2.88 ( ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 2.71/2.88 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x)) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_divide__eq__eq_1,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.88 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_divide__zero_0,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.71/2.88 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_divide__zero__left_0,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.71/2.88 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.71/2.88
% 2.71/2.88 cnf(cls_divide__self__if_0,axiom,
% 2.71/2.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | 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) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_divide__strict__right__mono_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_divide__strict__right__mono__neg_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_divide__less__0__iff_3,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | ~ 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))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_divide__less__0__iff_2,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | ~ 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))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_vimage__if_2,axiom,
% 2.82/2.88 ( 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))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_vimage__if_3,axiom,
% 2.82/2.88 ( c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),T_a,T_b,tc_fun(T_b,T_b)),V_c),T_a,T_b,T_b),V_d),V_A,T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_divide__le__0__iff_3,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | ~ 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))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_Suc__inject_0,axiom,
% 2.82/2.88 ( c_Suc(V_x) != c_Suc(V_y)
% 2.82/2.88 | V_x = V_y ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_nat_Oinject_0,axiom,
% 2.82/2.88 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 2.82/2.88 | V_nat = V_nat_H ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_zero__less__power_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_Range__Id__on_0,axiom,
% 2.82/2.88 c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_order_Oeq__iff_0,axiom,
% 2.82/2.88 ( ~ c_Orderings_Oorder(V_less__eq,V_less,T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_equiv_Orefl__on_0,axiom,
% 2.82/2.88 ( c_Relation_Orefl__on(V_A,V_r,T_a)
% 2.82/2.88 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_power__divide_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | 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) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_preorder_Oeq__refl_0,axiom,
% 2.82/2.88 ( ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_preorder_Oless__asym_0,axiom,
% 2.82/2.88 ( ~ hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.88 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_preorder_Oless__asym_H_0,axiom,
% 2.82/2.88 ( ~ hBOOL(hAPP(hAPP(V_less,V_b),V_a))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less,V_a),V_b))
% 2.82/2.88 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_preorder_Oless__trans_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(V_less,V_x),V_z))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less,V_y),V_z))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.88 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_preorder_Oorder__refl_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x))
% 2.82/2.88 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_preorder_Oorder__trans_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),V_z))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_z))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.82/2.88 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_preorder_Ole__less__trans_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(V_less,V_x),V_z))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less,V_y),V_z))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.82/2.88 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_preorder_Oless__le__trans_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(V_less,V_x),V_z))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_z))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.88 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_preorder_Oless__le__not__le_1,axiom,
% 2.82/2.88 ( ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.88 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_zero__le__divide__iff_4,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_zero__le__divide__iff_5,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_linorder_Onot__less__iff__gr__or__eq_1,axiom,
% 2.82/2.88 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.82/2.88 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_linorder_OleD_0,axiom,
% 2.82/2.88 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.82/2.88 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_linorder_OleI_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.82/2.88 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.88 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_linorder_Olinear_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.82/2.88 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.82/2.88 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_linorder_Onot__le_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.82/2.88 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.82/2.88 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_linorder_Onot__le_1,axiom,
% 2.82/2.88 ( ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.82/2.88 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_linorder_Onot__leE_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.88 | hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.82/2.88 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_linorder_Oantisym__conv1_1,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(V_less,V_x),V_x))
% 2.82/2.88 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_linorder_Oantisym__conv2_1,axiom,
% 2.82/2.88 ( ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x))
% 2.82/2.88 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_power__le__imp__le__base_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a)),c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_field__power__not__zero_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 2.82/2.88 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.82/2.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_power__eq__0__iff_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 2.82/2.88 | ~ class_Power_Opower(T_a)
% 2.82/2.88 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.82/2.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_nonzero__power__divide_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.82/2.88 | 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)
% 2.82/2.88 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_Suc__n__not__n_0,axiom,
% 2.82/2.88 c_Suc(V_n) != V_n ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_n__not__Suc__n_0,axiom,
% 2.82/2.88 V_n != c_Suc(V_n) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_divide__neg__pos_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_divide__pos__neg_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_divide__less__0__iff_4,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_divide__less__0__iff_5,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_zero__less__divide__iff_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.82/2.88 | ~ 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))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_zero__less__divide__iff_1,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.82/2.88 | ~ 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))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_zero__less__divide__iff_2,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.88 | ~ 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))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_zero__less__divide__iff_3,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.88 | ~ 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))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_order_Oeq__iff_2,axiom,
% 2.82/2.88 ( V_x = V_y
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.82/2.88 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_order_Oantisym_0,axiom,
% 2.82/2.88 ( V_x = V_y
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.82/2.88 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_order_Oantisym__conv_0,axiom,
% 2.82/2.88 ( V_x = V_y
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.82/2.88 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_vimage__code_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 2.82/2.88 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_vimage__code_1,axiom,
% 2.82/2.88 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 2.82/2.88 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_linorder_Onot__less__iff__gr__or__eq_0,axiom,
% 2.82/2.88 ( V_x = V_y
% 2.82/2.88 | hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.82/2.88 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.88 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_linorder_OneqE_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.82/2.88 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.88 | V_x = V_y
% 2.82/2.88 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_linorder_Oless__linear_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.82/2.88 | V_x = V_y
% 2.82/2.88 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.88 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_linorder_Oantisym__conv3_0,axiom,
% 2.82/2.88 ( V_x = V_y
% 2.82/2.88 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.88 | hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.82/2.88 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_eq__divide__eq_2,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_divide__right__mono__neg_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_divide__right__mono_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_right__inverse__eq_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.82/2.88 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 2.82/2.88 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.82/2.88 | V_a = V_b ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_power__strict__decreasing_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oone__class_Oone(T_a)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_N)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_power__decreasing_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Oone__class_Oone(T_a)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_N)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_preorder__class_Oaxioms_0,axiom,
% 2.82/2.88 ( ~ class_Orderings_Opreorder(T_a)
% 2.82/2.88 | c_Orderings_Opreorder(c_lessequals(T_a),c_HOL_Oord__class_Oless(T_a),T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_add__nonneg__nonneg_0,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.82/2.88 | ~ 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))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_add__increasing_0,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.82/2.88 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_c))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_add__increasing2_0,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.82/2.88 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.82/2.88 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x))
% 2.82/2.88 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.82/2.88 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x))
% 2.82/2.88 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | ~ 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))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_add__nonpos__nonpos_0,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.82/2.88 | ~ 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))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_add__neg__neg_0,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | ~ 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))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_even__less__0__iff_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.88 | ~ 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))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_even__less__0__iff_1,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_add__pos__pos_0,axiom,
% 2.82/2.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_pos__add__strict_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_c))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_one__le__power_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.88 | 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)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_zero__le__one_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oone__class_Oone(T_a))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_not__one__le__zero_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_not__one__less__zero_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_zero__less__one_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oone__class_Oone(T_a))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_power__inject__exp_0,axiom,
% 2.82/2.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.88 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a))
% 2.82/2.88 | V_m = V_n ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_Id__on__iff_0,axiom,
% 2.82/2.88 ( V_x = V_y
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_OId__on(V_A,T_a))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_less__add__Suc1_0,axiom,
% 2.82/2.88 hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)))) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_less__add__Suc2_0,axiom,
% 2.82/2.88 hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)))) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_less__iff__Suc__add_1,axiom,
% 2.82/2.88 hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)))) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_le__less__Suc__eq_1,axiom,
% 2.82/2.88 ( ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_x))
% 2.82/2.88 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),c_Suc(V_x))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_less__Suc__eq__le_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_Suc(V_n))) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_less__Suc__eq__le_1,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_Suc(V_n)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_Suc__leI_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_m)),V_n))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_Suc__le__eq_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_m)),V_n)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_less__eq__Suc__le_0,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),V_m))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_less__eq__Suc__le_1,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),V_m)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_le__less__Suc__eq_0,axiom,
% 2.82/2.88 ( V_n = V_m
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_m)))
% 2.82/2.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_Suc__eq__plus1_0,axiom,
% 2.82/2.88 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_Suc__eq__plus1__left_0,axiom,
% 2.82/2.88 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_all__from__to__nat_Osimps_3,axiom,
% 2.82/2.88 ( c_List_Oall__from__to__nat(V_P,V_i,V_j)
% 2.82/2.88 | ~ hBOOL(hAPP(V_P,V_i))
% 2.82/2.88 | ~ 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) ) ).
% 2.82/2.88
% 2.82/2.88 cnf(cls_in__mkbot_2,axiom,
% 2.82/2.88 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 2.82/2.88 | V_x = V_z
% 2.82/2.89 | ~ 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__less__0__iff_1,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.82/2.89 | ~ 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__less__0__iff_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.82/2.89 | ~ 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_zero__less__divide__iff_5,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_zero__less__divide__iff_4,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__pos__pos_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__neg__neg_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order_Oneq__le__trans_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(V_less,V_a),V_b))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_a),V_b))
% 2.82/2.89 | V_a = V_b
% 2.82/2.89 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order_Ole__neq__trans_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(V_less,V_a),V_b))
% 2.82/2.89 | V_a = V_b
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_a),V_b))
% 2.82/2.89 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order_Oless__le_2,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.89 | V_x = V_y
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.82/2.89 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order_Ole__less_0,axiom,
% 2.82/2.89 ( V_x = V_y
% 2.82/2.89 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.82/2.89 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_less__divide__eq_3,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_less__divide__eq_2,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__less__eq_3,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)),V_a))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__less__eq_2,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)),V_a)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_linorder_Oantisym__conv2_0,axiom,
% 2.82/2.89 ( V_x = V_y
% 2.82/2.89 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.82/2.89 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_linorder_Oantisym__conv1_0,axiom,
% 2.82/2.89 ( V_x = V_y
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.82/2.89 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.82/2.89 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_power__inject__base_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.89 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) != c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a)
% 2.82/2.89 | V_a = V_b
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_inj__on__contraD_0,axiom,
% 2.82/2.89 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.82/2.89 | V_x = V_y
% 2.82/2.89 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_inj__on__iff_0,axiom,
% 2.82/2.89 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.82/2.89 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.82/2.89 | V_x = V_y ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_inj__on__def_0,axiom,
% 2.82/2.89 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.82/2.89 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.82/2.89 | V_x = V_xa ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_inj__onD_0,axiom,
% 2.82/2.89 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.82/2.89 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.82/2.89 | V_x = V_y
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_pred__equals__eq_0,axiom,
% 2.82/2.89 ( hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R) != hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S)
% 2.82/2.89 | V_R = V_S ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_vimage__eq_1,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_vimageI2_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_vimageI_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_vimageE_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_vimageD_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_frac__less_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_w),V_z))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_w))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__nonpos__pos_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__nonneg__neg_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_frac__le_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_w),V_z))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_w))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_power__less__imp__less__base_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_b,V_n,T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_frac__less2_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_w),V_z))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_w))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__nonpos__neg_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__nonneg__pos_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_le__divide__eq_3,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_le__divide__eq_2,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__le__eq_3,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)),V_a))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__le__eq_2,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)),V_a)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_double__eq__0__iff_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.82/2.89 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.82/2.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.82/2.89 | ~ class_Int_Onumber__ring(T_a)
% 2.82/2.89 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 2.82/2.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_double__eq__0__iff_1,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.82/2.89 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.82/2.89 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.82/2.89 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.82/2.89 | ~ class_Int_Onumber__ring(T_a)
% 2.82/2.89 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.82/2.89 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__0__left_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 2.82/2.89 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 2.82/2.89 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.82/2.89 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.82/2.89 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__divide__distrib_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.82/2.89 | 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) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__le__0__1__iff_1,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__le__0__1__iff_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | ~ 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_zero__le__divide__1__iff_1,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_zero__le__divide__1__iff_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.89 | ~ 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_zero__less__divide__1__iff_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.89 | ~ 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_zero__less__divide__1__iff_1,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_power__gt1_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__less__0__1__iff_1,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__less__0__1__iff_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | ~ 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_one__neq__zero_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.82/2.89 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_power__one_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 2.82/2.89 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_zero__neq__one_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 2.82/2.89 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_divide__1_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.82/2.89 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_less__SucI_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_Suc(V_n)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_Suc__lessD_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_m)),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_all__from__to__nat_Osimps_2,axiom,
% 2.82/2.89 ( c_List_Oall__from__to__nat(V_P,V_i,V_j)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_all__from__to__nat_Osimps_1,axiom,
% 2.82/2.89 ( hBOOL(hAPP(V_P,V_i))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j))
% 2.82/2.89 | ~ c_List_Oall__from__to__nat(V_P,V_i,V_j) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_less__trans__Suc_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_i)),V_k))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_j),V_k))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_less__Suc__eq_2,axiom,
% 2.82/2.89 hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),c_Suc(V_x))) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_lessI_0,axiom,
% 2.82/2.89 hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_n))) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 2.82/2.89 ( V_n = V_m
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_m)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_less__antisym_0,axiom,
% 2.82/2.89 ( V_m = V_n
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_m)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_less__SucE_0,axiom,
% 2.82/2.89 ( V_m = V_n
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_Suc(V_n))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_Suc__lessI_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_m)),V_n))
% 2.82/2.89 | c_Suc(V_m) = V_n
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_x))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),c_Suc(V_x))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_not__less__eq_1,axiom,
% 2.82/2.89 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_m))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_not__less__eq_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_m)))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_x)),c_Suc(V_n)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_Suc__less__eq_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_m)),c_Suc(V_n))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_Suc__mono_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_m)),c_Suc(V_n)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_preorder_Odual__preorder_0,axiom,
% 2.82/2.89 ( 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)
% 2.82/2.89 | ~ c_Orderings_Opreorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_linorder_Odual__linorder_0,axiom,
% 2.82/2.89 ( 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)
% 2.82/2.89 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order_Odual__order_0,axiom,
% 2.82/2.89 ( 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)
% 2.82/2.89 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__Suc_0,axiom,
% 2.82/2.89 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__Suc__right_0,axiom,
% 2.82/2.89 c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__Suc__shift_0,axiom,
% 2.82/2.89 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_Suc__le__mono_1,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),c_Suc(V_m)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_m)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_Suc__le__mono_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_m))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),c_Suc(V_m))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_Suc__n__not__le__n_0,axiom,
% 2.82/2.89 ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),V_n)) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_le__SucI_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),c_Suc(V_n)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_Suc__leD_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_m)),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_not__less__eq__eq_1,axiom,
% 2.82/2.89 ( ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),V_m)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_not__less__eq__eq_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),V_m))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_le__Suc__eq_2,axiom,
% 2.82/2.89 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),c_Suc(V_n))) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_le__SucE_0,axiom,
% 2.82/2.89 ( V_m = c_Suc(V_n)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),c_Suc(V_n))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_injD_0,axiom,
% 2.82/2.89 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.82/2.89 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 2.82/2.89 | V_x = V_y ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_vimage__UNIV_0,axiom,
% 2.82/2.89 c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_power__one__right_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 2.82/2.89 | c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_a ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.82/2.89 | c_Power_Opower__class_Opower(V_x,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_x ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_in__mktop_4,axiom,
% 2.82/2.89 ( V_xa = V_x
% 2.82/2.89 | V_xa = V_x
% 2.82/2.89 | 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_in__mkbot_3,axiom,
% 2.82/2.89 ( 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 2.82/2.89 | V_x = V_z
% 2.82/2.89 | V_y = V_z ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_in__mkbot_5,axiom,
% 2.82/2.89 ( 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 2.82/2.89 | V_x = V_y
% 2.82/2.89 | V_y = V_z ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_in__mkbot_0,axiom,
% 2.82/2.89 ~ 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))) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_in__mkbot_1,axiom,
% 2.82/2.89 ~ 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))) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_in__mkbot_4,axiom,
% 2.82/2.89 ( V_x = V_y
% 2.82/2.89 | V_y = V_x
% 2.82/2.89 | 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_in__mktop_2,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 2.82/2.89 | V_y = V_z
% 2.82/2.89 | ~ 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_in__mktop_0,axiom,
% 2.82/2.89 ~ 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))) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_in__mktop_1,axiom,
% 2.82/2.89 ~ 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))) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_in__mktop_3,axiom,
% 2.82/2.89 ( 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 2.82/2.89 | V_y = V_z
% 2.82/2.89 | V_x = V_z ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_in__mktop_5,axiom,
% 2.82/2.89 ( 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 2.82/2.89 | V_x = V_y
% 2.82/2.89 | V_x = V_z ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_vimage__if_1,axiom,
% 2.82/2.89 ( c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),T_a,T_b,tc_fun(T_b,T_b)),V_c),T_a,T_b,T_b),V_d),V_A,T_a,T_b) = V_B
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__pos__nonneg_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__nonneg__pos_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__strict__increasing2_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.82/2.89 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_c))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__strict__increasing_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.82/2.89 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_c))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__nonpos__neg_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__neg__nonpos_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_refl__onD_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),V_r))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 2.82/2.89 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_refl__onD1_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 2.82/2.89 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_refl__onD2_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 2.82/2.89 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_refl__on__def_1,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),V_r))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.82/2.89 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_total__on__def_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_xa,V_x,T_a,T_a)),V_r))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_xa,T_a,T_a)),V_r))
% 2.82/2.89 | V_x = V_xa
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.82/2.89 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_SigmaD1_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_SigmaD2_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_DomainI_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_Domain__iff_1,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_x,T_a,T_b)),V_r)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_RangeI_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_ORange(V_r,T_a,T_b)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_Range__iff_1,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ORange(V_r,T_b,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_a,T_b,T_a)),V_r)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_equiv__class__eq__iff_1,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 2.82/2.89 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_equiv__class__eq__iff_2,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 2.82/2.89 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_Id__on__eqI_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Relation_OId__on(V_A,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_Id__on__iff_1,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_OId__on(V_A,T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_Image__iff_2,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_b,T_b,T_a)),V_r))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_rev__ImageI_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_OImage(V_r,V_A,T_a,T_b)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_acc_Ocases_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),c_Wellfounded_Oacc(V_r,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_a,T_a,T_a)),V_r))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_acc__downward_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Wellfounded_Oacc(V_r,T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_SigmaI_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_mem__Sigma__iff_2,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_zero__less__two_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.89 | 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_gt__half__sum_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | 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))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_less__half__sum_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_dual__preorder_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Opreorder(T_a)
% 2.82/2.89 | 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) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_dual__order_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | 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) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_dual__linorder_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.89 | 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) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_power__strict__increasing__iff_1,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_b,V_x,T_a)),c_Power_Opower__class_Opower(V_b,V_y,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_power__strict__increasing__iff_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_b,V_x,T_a)),c_Power_Opower__class_Opower(V_b,V_y,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_power__strict__increasing_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_a,V_N,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_N)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_power__less__imp__less__exp_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_m,T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_in__measure_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omeasure(V_f,T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_in__measure_1,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omeasure(V_f,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_mlex__less_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omlex__prod(V_f,V_R,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_injh_0,axiom,
% 2.82/2.89 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) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_power__increasing_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Oone__class_Oone(T_a)),V_a))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_N)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_mlex__leq_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omlex__prod(V_f,V_R,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_R))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_all__from__to__nat_Osimps_0,axiom,
% 2.82/2.89 ( 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)
% 2.82/2.89 | ~ hBOOL(hAPP(V_P,V_i))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j))
% 2.82/2.89 | ~ c_List_Oall__from__to__nat(V_P,V_i,V_j) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_vimage__if_0,axiom,
% 2.82/2.89 ( c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),T_a,T_b,tc_fun(T_b,T_b)),V_c),T_a,T_b,T_b),V_d),V_A,T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_less__eq__Suc__le__raw_0,axiom,
% 2.82/2.89 hAPP(c_HOL_Oord__class_Oless(tc_nat),v_n) = hAPP(c_lessequals(tc_nat),c_Suc(v_n)) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_power__increasing__iff_1,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_power__increasing__iff_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_y))
% 2.82/2.89 | ~ 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_power__le__imp__le__exp_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 2.82/2.89 | ~ 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_PiProf_0,axiom,
% 2.82/2.89 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)) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_that_1,axiom,
% 2.82/2.89 ( v_thesis____
% 2.82/2.89 | ~ 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_n,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____))))
% 2.82/2.89 | ~ 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_sko__local__Xthat__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____,V_n)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_that_0,axiom,
% 2.82/2.89 ( v_thesis____
% 2.82/2.89 | ~ 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_n,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____))))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(tc_nat),v_sko__local__Xthat__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____,V_n)),V_n))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__less__cancel__left_1,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__less__cancel__left_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.82/2.89 | ~ 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__less__mono1_0,axiom,
% 2.82/2.89 ( 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.82/2.89 | ~ 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 2.82/2.89 ( 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_xt1_I6_J_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_xt1_I7_J_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_xt1_I8_J_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__trans_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Opreorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_le__refl_0,axiom,
% 2.82/2.89 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_n)) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_le__trans_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),V_k))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_j),V_k))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),V_j)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_eq__imp__le_0,axiom,
% 2.82/2.89 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_x)) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__eq__iff_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__eq__refl_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Opreorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__le__less__trans_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Opreorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__less__le__trans_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Opreorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_le__add__right__mono_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_Pair__eq_0,axiom,
% 2.82/2.89 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 2.82/2.89 | V_a = V_a_H ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_Pair__eq_1,axiom,
% 2.82/2.89 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 2.82/2.89 | V_b = V_b_H ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_xt1_I11_J_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 2.82/2.89 | V_a = V_b
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_xt1_I12_J_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a))
% 2.82/2.89 | V_a = V_b ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_nat__less__le_2,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.82/2.89 | V_m = V_n
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_le__eq__less__or__eq_0,axiom,
% 2.82/2.89 ( V_m = V_n
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_le__neq__implies__less_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.82/2.89 | V_m = V_n
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__le__less_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | V_x = V_y
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__less__le_2,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.82/2.89 | V_x = V_y
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__le__neq__trans_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.82/2.89 | V_a = V_b
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__neq__le__trans_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 2.82/2.89 | V_a = V_b ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_linorder__antisym__conv1_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.89 | V_x = V_y
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_linorder__antisym__conv2_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.89 | V_x = V_y
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_xt1_I9_J_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 2.82/2.89 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_nat__le__linear_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_m))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_linorder__linear_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__less__asym_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Opreorder(T_a)
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__less__asym_H_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Opreorder(T_a)
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__strict__left__mono_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__less__cancel__right_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 2.82/2.89 | ~ 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__less__cancel__right_1,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__strict__right__mono_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_not__add__less2_0,axiom,
% 2.82/2.89 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat)),V_i)) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_not__add__less1_0,axiom,
% 2.82/2.89 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat)),V_i)) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_top__greatest_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Otop(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_less__add__one_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.82/2.89 | 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_nat__add__left__cancel__le_1,axiom,
% 2.82/2.89 ( 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_nat__add__left__cancel__le_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 2.82/2.89 | ~ 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__le__mono1_0,axiom,
% 2.82/2.89 ( 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),V_j)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__left__mono_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__right__mono_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__le__cancel__left_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 2.82/2.89 | ~ 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__le__cancel__left_1,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__le__cancel__right_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 2.82/2.89 | ~ 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))) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__le__cancel__right_1,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__less__imp__le_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Opreorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__le__less_1,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_nat__less__le_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__less__mono_0,axiom,
% 2.82/2.89 ( 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_k),V_l))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_add__strict__mono_0,axiom,
% 2.82/2.89 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.82/2.89 | 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)))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_linorder__antisym__conv3_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.89 | V_x = V_y
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_linorder__less__linear_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 2.82/2.89 | V_x = V_y
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__antisym__conv_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | V_x = V_y
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__antisym_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | V_x = V_y
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_linorder__neqE_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.82/2.89 | V_x = V_y ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__eq__iff_2,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | V_x = V_y
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_linorder__neqE__nat_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_y),V_x))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y))
% 2.82/2.89 | V_x = V_y ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_nat__less__cases_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m))
% 2.82/2.89 | V_m = V_n
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_nat__neq__iff_0,axiom,
% 2.82/2.89 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 2.82/2.89 | V_m = V_n ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_le__antisym_0,axiom,
% 2.82/2.89 ( V_m = V_n
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_m))
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.89 | V_x = V_y
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 2.82/2.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 2.82/2.89 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.82/2.89 | V_x = V_y ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_le__iff__add_1,axiom,
% 2.82/2.89 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat))) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_le__add2_0,axiom,
% 2.82/2.89 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat))) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_le__add1_0,axiom,
% 2.82/2.89 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat))) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_top1I_0,axiom,
% 2.82/2.89 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__less__irrefl_0,axiom,
% 2.82/2.89 ( ~ class_Orderings_Opreorder(T_a)
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_linorder__neq__iff_1,axiom,
% 2.82/2.89 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 2.82/2.89
% 2.82/2.89 cnf(cls_order__less__le_1,axiom,
% 2.82/2.89 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.89 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_less__not__refl_0,axiom,
% 2.82/2.90 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_n)) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_nat__less__le_1,axiom,
% 2.82/2.90 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_x)) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_less__le__not__le_2,axiom,
% 2.82/2.90 ( ~ class_Orderings_Opreorder(T_a)
% 2.82/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.82/2.90 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_UNIV__I_0,axiom,
% 2.82/2.90 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 2.82/2.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_less__add__eq__less_0,axiom,
% 2.82/2.90 ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_k),V_l))
% 2.82/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_nat__add__commute_0,axiom,
% 2.82/2.90 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 2.82/2.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 2.82/2.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_trans__less__add2_0,axiom,
% 2.82/2.90 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat)))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_trans__less__add1_0,axiom,
% 2.82/2.90 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat)))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_add__lessD1_0,axiom,
% 2.82/2.90 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_k))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat)),V_k)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 2.82/2.90 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat)))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_z)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 2.82/2.90 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat)))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_add__le__mono_0,axiom,
% 2.82/2.90 ( 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)))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_l))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),V_j)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_add__mono_0,axiom,
% 2.82/2.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.82/2.90 | 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)))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_order__less__trans_0,axiom,
% 2.82/2.90 ( ~ class_Orderings_Opreorder(T_a)
% 2.82/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_xt1_I10_J_0,axiom,
% 2.82/2.90 ( ~ class_Orderings_Oorder(T_a)
% 2.82/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 2.82/2.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_add__cancel__21_1,axiom,
% 2.82/2.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_nat__add__left__commute_0,axiom,
% 2.82/2.90 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_nat__add__assoc_0,axiom,
% 2.82/2.90 c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 2.82/2.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 2.82/2.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 2.82/2.90 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 2.82/2.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 2.82/2.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 2.82/2.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 2.82/2.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_add__cancel__21_0,axiom,
% 2.82/2.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_trans__le__add2_0,axiom,
% 2.82/2.90 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat)))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),V_j)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_trans__le__add1_0,axiom,
% 2.82/2.90 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat)))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),V_j)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_add__leE_1,axiom,
% 2.82/2.90 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_n))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat)),V_n)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_add__leE_0,axiom,
% 2.82/2.90 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat)),V_n)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_termination__basic__simps_I4_J_0,axiom,
% 2.82/2.90 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat)))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_z)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_termination__basic__simps_I3_J_0,axiom,
% 2.82/2.90 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat)))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_y)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_mem__def_1,axiom,
% 2.82/2.90 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
% 2.82/2.90 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_mem__def_0,axiom,
% 2.82/2.90 ( hBOOL(hAPP(V_S,V_x))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_COMBB__def_0,axiom,
% 2.82/2.90 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_COMBC__def_0,axiom,
% 2.82/2.90 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_not__leE_0,axiom,
% 2.82/2.90 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.82/2.90 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_linorder__antisym__conv2_1,axiom,
% 2.82/2.90 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_linorder__antisym__conv1_1,axiom,
% 2.82/2.90 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x))
% 2.82/2.90 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_linorder__not__less_1,axiom,
% 2.82/2.90 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_linorder__not__less_0,axiom,
% 2.82/2.90 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.90 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 2.82/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_linorder__not__le_1,axiom,
% 2.82/2.90 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_linorder__not__le_0,axiom,
% 2.82/2.90 ( ~ class_Orderings_Olinorder(T_a)
% 2.82/2.90 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 2.82/2.90 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_less__le__not__le_1,axiom,
% 2.82/2.90 ( ~ class_Orderings_Opreorder(T_a)
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 2.82/2.90 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat)
% 2.82/2.90 | V_y = V_z ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_nat__add__right__cancel_0,axiom,
% 2.82/2.90 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat)
% 2.82/2.90 | V_m = V_n ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_nat__add__left__cancel_0,axiom,
% 2.82/2.90 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 2.82/2.90 | V_m = V_n ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 2.82/2.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.82/2.90 | ~ class_Int_Onumber__ring(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 2.82/2.90 | V_y = V_z ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_add__imp__eq_0,axiom,
% 2.82/2.90 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 2.82/2.90 | V_b = V_c ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_add__left__cancel_0,axiom,
% 2.82/2.90 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 2.82/2.90 | V_b = V_c ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_add__right__cancel_0,axiom,
% 2.82/2.90 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 2.82/2.90 | V_b = V_c ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 2.82/2.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.82/2.90 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_add__le__less__mono_0,axiom,
% 2.82/2.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.82/2.90 | 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)))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_add__less__le__mono_0,axiom,
% 2.82/2.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.82/2.90 | 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)))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_CHAINED_2,axiom,
% 2.82/2.90 hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),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____)))) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_CHAINED_1,axiom,
% 2.82/2.90 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),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_m),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_CHAINED_0,axiom,
% 2.82/2.90 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))) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_conjecture_0,negated_conjecture,
% 2.82/2.90 ~ v_thesis____ ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_conjecture_1,negated_conjecture,
% 2.82/2.90 ( v_thesis____
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),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_na,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____))))
% 2.82/2.90 | hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_n,V_na)),V_na))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_na),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_conjecture_2,negated_conjecture,
% 2.82/2.90 ( v_thesis____
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),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_na,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____))))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),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_n,V_na)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
% 2.82/2.90 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_na),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 2.82/2.90 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 2.82/2.90 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 2.82/2.90 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 2.82/2.90 | ~ class_Orderings_Opreorder(T_1) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 2.82/2.90 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 2.82/2.90 | ~ class_Orderings_Oorder(T_1) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_fun__Orderings_Otop,axiom,
% 2.82/2.90 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 2.82/2.90 | ~ class_Orderings_Otop(T_1) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_fun__Orderings_Obot,axiom,
% 2.82/2.90 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 2.82/2.90 | ~ class_Orderings_Obot(T_1) ) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 2.82/2.90 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 2.82/2.90 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 2.82/2.90 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 2.82/2.90 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 2.82/2.90 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 2.82/2.90 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 2.82/2.90 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 2.82/2.90 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 2.82/2.90 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 2.82/2.90 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 2.82/2.90 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 2.82/2.90 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 2.82/2.90 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 2.82/2.90 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 2.82/2.90 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 2.82/2.90 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 2.82/2.90 class_Orderings_Opreorder(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 2.82/2.90 class_Orderings_Olinorder(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 2.82/2.90 class_Orderings_Oorder(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__Orderings_Obot,axiom,
% 2.82/2.90 class_Orderings_Obot(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_nat__Power_Opower,axiom,
% 2.82/2.90 class_Power_Opower(tc_nat) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 2.82/2.90 class_Lattices_Oboolean__algebra(tc_bool) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 2.82/2.90 class_Orderings_Opreorder(tc_bool) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 2.82/2.90 class_Orderings_Oorder(tc_bool) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_bool__Orderings_Otop,axiom,
% 2.82/2.90 class_Orderings_Otop(tc_bool) ).
% 2.82/2.90
% 2.82/2.90 cnf(clsarity_bool__Orderings_Obot,axiom,
% 2.82/2.90 class_Orderings_Obot(tc_bool) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
% 2.82/2.90 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
% 2.82/2.90 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 2.82/2.90 c_fequal(V_x,V_x,T_a) ).
% 2.82/2.90
% 2.82/2.90 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 2.82/2.90 ( V_X = V_Y
% 2.82/2.90 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 2.82/2.90
% 2.82/2.90 %------------------------------------------------------------------------------
% 2.82/2.90 %-------------------------------------------
% 2.82/2.90 % Proof found
% 2.82/2.90 % SZS status Theorem for theBenchmark
% 2.82/2.90 % SZS output start Proof
% 2.82/2.90 %ClaNum:711(EqnAxiom:152)
% 2.82/2.90 %VarNum:3720(SingletonVarNum:1283)
% 2.82/2.90 %MaxLitNum:6
% 2.82/2.90 %MaxfuncDepth:6
% 2.82/2.90 %SharedTerms:81
% 2.82/2.90 %goalClause: 221 708 710
% 2.82/2.90 %singleGoalClaCount:1
% 2.82/2.90 [153]P1(a1)
% 2.82/2.90 [154]P1(a33)
% 2.82/2.90 [155]P2(a1)
% 2.82/2.90 [156]P28(a33)
% 2.82/2.90 [157]P29(a33)
% 2.82/2.90 [158]P34(a33)
% 2.82/2.90 [159]P44(a33)
% 2.82/2.90 [160]P35(a33)
% 2.82/2.90 [161]P36(a33)
% 2.82/2.90 [162]P30(a1)
% 2.82/2.90 [163]P30(a33)
% 2.82/2.90 [164]P13(a33)
% 2.82/2.90 [165]P14(a33)
% 2.82/2.90 [166]P15(a33)
% 2.82/2.90 [167]P37(a33)
% 2.82/2.90 [168]P20(a33)
% 2.82/2.90 [169]P23(a33)
% 2.82/2.90 [170]P31(a1)
% 2.82/2.90 [171]P31(a33)
% 2.82/2.90 [172]P32(a33)
% 2.82/2.90 [173]P27(a33)
% 2.82/2.90 [174]P33(a1)
% 2.82/2.90 [175]P24(a33)
% 2.82/2.90 [176]P16(a33)
% 2.82/2.90 [177]P18(a33)
% 2.82/2.90 [178]P19(a33)
% 2.82/2.90 [221]~P46(a500)
% 2.82/2.90 [194]P5(a36,f18(f34(a31,a1)),a31,a33)
% 2.82/2.90 [192]E(f30(f24(a33),f4(a35,f5(a33),a33)),f30(f14(a33),a35))
% 2.82/2.90 [218]P45(f30(f30(f14(a33),f43(a37,a39,a40,a41,a42,a36)),f11(f18(f34(a31,a1)),a31)))
% 2.82/2.90 [220]P45(f30(f30(f25(f38(a32,a32)),f19(a41,a42,a32,a32)),f30(a37,f30(f6(f30(f6(f7(f12(f34(f38(a32,a32),a1)),f30(f6(f7(f14(a33),a36,a33,f34(a33,a1),a31),a31,a33,a1),f4(f43(a37,a39,a40,a41,a42,a36),f5(a33),a33)),a1,f34(f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a31),a31,f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a39),a31,f34(f38(a32,a32),a1),f34(f38(a32,a32),a1)),a40))))
% 2.82/2.90 [189]E(f16(f18(f34(x1891,a1)),f34(x1891,a1)),f15(f34(x1891,a1)))
% 2.82/2.90 [190]E(f16(f15(f34(x1901,a1)),f34(x1901,a1)),f18(f34(x1901,a1)))
% 2.82/2.90 [222]~E(f18(f34(x2221,a1)),f15(f34(x2221,a1)))
% 2.82/2.90 [224]~E(f4(x2241,f5(a33),a33),x2241)
% 2.82/2.90 [184]P45(f30(f30(f24(a33),x1841),x1841))
% 2.82/2.90 [202]P45(f30(f30(f14(a33),x2021),f4(x2021,f5(a33),a33)))
% 2.82/2.90 [226]~P45(f30(f30(f14(a33),x2261),x2261))
% 2.82/2.90 [233]~P45(f30(f30(f24(a33),f4(x2331,f5(a33),a33)),x2331))
% 2.82/2.90 [219]P45(f30(f30(f25(f34(a31,f34(f38(a32,a32),a1))),f30(f6(f30(f6(f7(f12(f34(f38(a32,a32),a1)),f30(f6(f7(f14(a33),a36,a33,f34(a33,a1),a31),a31,a33,a1),x2191),a1,f34(f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a31),a31,f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a39),a31,f34(f38(a32,a32),a1),f34(f38(a32,a32),a1)),a40)),a8))
% 2.82/2.90 [179]P3(x1791,x1791,x1792)
% 2.82/2.90 [180]P4(x1801,f2(x1801,x1802),x1802)
% 2.82/2.90 [185]E(f4(x1851,x1852,a33),f4(x1852,x1851,a33))
% 2.82/2.90 [181]E(f3(f2(x1811,x1812),x1812,x1812),x1811)
% 2.82/2.90 [182]E(f22(f2(x1821,x1822),x1822,x1822),x1821)
% 2.82/2.90 [186]P11(f15(f34(x1861,a1)),x1862,x1861)
% 2.82/2.90 [187]E(f16(f16(x1871,f34(x1872,a1)),f34(x1872,a1)),x1871)
% 2.82/2.90 [196]P45(f30(f30(f24(a33),x1961),f4(x1962,x1961,a33)))
% 2.82/2.90 [198]P45(f30(f30(f24(a33),x1981),f4(x1981,x1982,a33)))
% 2.82/2.90 [191]P45(f30(f18(f34(x1911,a1)),x1912))
% 2.82/2.90 [193]P45(f30(f30(f25(x1931),x1932),f18(f34(x1931,a1))))
% 2.82/2.90 [204]E(f4(f4(x2041,f5(a33),a33),x2042,a33),f4(f4(x2041,x2042,a33),f5(a33),a33))
% 2.82/2.90 [205]E(f4(f4(x2051,f5(a33),a33),x2052,a33),f4(x2051,f4(x2052,f5(a33),a33),a33))
% 2.82/2.90 [209]P45(f30(f30(f14(a33),x2091),f4(f4(x2092,x2091,a33),f5(a33),a33)))
% 2.82/2.90 [211]P45(f30(f30(f14(a33),x2111),f4(f4(x2111,x2112,a33),f5(a33),a33)))
% 2.82/2.90 [227]~P45(f30(f15(f34(x2271,a1)),x2272))
% 2.82/2.90 [230]~P45(f30(f30(f25(x2301),x2302),f15(f34(x2301,a1))))
% 2.82/2.90 [231]~P45(f30(f30(f14(a33),f4(x2311,x2312,a33)),x2312))
% 2.82/2.90 [232]~P45(f30(f30(f14(a33),f4(x2321,x2322,a33)),x2321))
% 2.82/2.90 [195]P5(x1951,f15(f34(x1952,a1)),x1952,x1953)
% 2.82/2.90 [199]E(f4(x1991,f4(x1992,x1993,a33),a33),f4(x1992,f4(x1991,x1993,a33),a33))
% 2.82/2.90 [200]E(f4(f4(x2001,x2002,a33),x2003,a33),f4(x2001,f4(x2002,x2003,a33),a33))
% 2.82/2.90 [234]~P45(f30(f30(f25(f38(a32,a32)),f19(x2341,x2342,a32,a32)),f9(x2343,x2342)))
% 2.82/2.90 [235]~P45(f30(f30(f25(f38(a32,a32)),f19(x2351,x2352,a32,a32)),f10(x2353,x2351)))
% 2.82/2.90 [206]E(f26(x2061,f18(f34(x2062,a1)),x2063,x2062),f18(f34(x2063,a1)))
% 2.82/2.90 [207]E(f26(x2071,f15(f34(x2072,a1)),x2073,x2072),f15(f34(x2073,a1)))
% 2.82/2.90 [208]E(f23(x2081,f15(f34(x2082,a1)),x2082,x2083),f15(f34(x2083,a1)))
% 2.82/2.90 [213]E(f26(x2131,f16(x2132,f34(x2133,a1)),x2134,x2133),f16(f26(x2131,x2132,x2134,x2133),f34(x2134,a1)))
% 2.82/2.90 [217]E(f30(f7(x2171,x2172,x2173,x2174,x2175),x2176),f30(x2171,f30(x2172,x2176)))
% 2.82/2.90 [215]E(f30(f30(f6(x2151,x2152,x2153,x2154),x2155),x2156),f30(f30(x2151,x2156),x2155))
% 2.82/2.90 [239]~P44(x2391)+~E(f17(x2391),f5(x2391))
% 2.82/2.90 [274]~P30(x2741)+P7(f24(x2741),f14(x2741),x2741)
% 2.82/2.90 [241]~P21(x2411)+E(f16(f17(x2411),x2411),f17(x2411))
% 2.82/2.90 [242]~P25(x2421)+E(f16(f17(x2421),x2421),f17(x2421))
% 2.82/2.90 [243]~P2(x2431)+E(f16(f18(x2431),x2431),f15(x2431))
% 2.82/2.90 [244]~P2(x2441)+E(f16(f15(x2441),x2441),f18(x2441))
% 2.82/2.90 [276]~P22(x2761)+E(f4(f17(x2761),f17(x2761),x2761),f17(x2761))
% 2.82/2.90 [304]~P34(x3041)+P45(f30(f30(f24(x3041),f17(x3041)),f5(x3041)))
% 2.82/2.90 [305]~P34(x3051)+P45(f30(f30(f14(x3051),f17(x3051)),f5(x3051)))
% 2.82/2.90 [349]~P34(x3491)+~P45(f30(f30(f24(x3491),f5(x3491)),f17(x3491)))
% 2.82/2.90 [350]~P34(x3501)+~P45(f30(f30(f14(x3501),f5(x3501)),f17(x3501)))
% 2.82/2.90 [608]~P31(x6081)+P9(f6(f24(x6081),x6081,x6081,a1),f6(f14(x6081),x6081,x6081,a1),x6081)
% 2.82/2.90 [609]~P30(x6091)+P7(f6(f24(x6091),x6091,x6091,a1),f6(f14(x6091),x6091,x6091,a1),x6091)
% 2.82/2.90 [610]~P32(x6101)+P10(f6(f24(x6101),x6101,x6101,a1),f6(f14(x6101),x6101,x6101,a1),x6101)
% 2.82/2.90 [438]~P34(x4381)+P45(f30(f30(f14(x4381),f17(x4381)),f4(f5(x4381),f5(x4381),x4381)))
% 2.82/2.90 [707]~P45(f30(f30(f24(a33),x7071),f43(a37,a39,a40,a41,a42,a36)))+P45(f30(f30(f25(f38(a32,a32)),f19(a42,a41,a32,a32)),f30(a37,f30(f6(f30(f6(f7(f12(f34(f38(a32,a32),a1)),f30(f6(f7(f14(a33),a36,a33,f34(a33,a1),a31),a31,a33,a1),x7071),a1,f34(f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a31),a31,f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a39),a31,f34(f38(a32,a32),a1),f34(f38(a32,a32),a1)),a40))))
% 2.82/2.90 [246]~P1(x2462)+P1(f34(x2461,x2462))
% 2.82/2.90 [247]~P2(x2472)+P2(f34(x2471,x2472))
% 2.82/2.90 [248]~P30(x2482)+P30(f34(x2481,x2482))
% 2.82/2.90 [249]~P31(x2492)+P31(f34(x2491,x2492))
% 2.82/2.90 [250]~P33(x2502)+P33(f34(x2501,x2502))
% 2.82/2.90 [256]~P21(x2562)+E(f16(f16(x2561,x2562),x2562),x2561)
% 2.82/2.90 [257]~P2(x2572)+E(f16(f16(x2571,x2572),x2572),x2571)
% 2.82/2.90 [260]~P37(x2602)+E(f20(x2601,f5(a33),x2602),x2601)
% 2.82/2.90 [261]~P23(x2612)+E(f20(x2611,f5(a33),x2612),x2611)
% 2.82/2.90 [262]~P15(x2622)+E(f4(x2621,f17(x2622),x2622),x2621)
% 2.82/2.90 [263]~P37(x2632)+E(f4(x2631,f17(x2632),x2632),x2631)
% 2.82/2.90 [264]~P20(x2642)+E(f4(x2641,f17(x2642),x2642),x2641)
% 2.82/2.90 [265]~P38(x2652)+E(f13(x2651,f5(x2652),x2652),x2651)
% 2.82/2.90 [266]~P15(x2661)+E(f4(f17(x2661),x2662,x2661),x2662)
% 2.82/2.90 [268]~P37(x2681)+E(f4(f17(x2681),x2682,x2681),x2682)
% 2.82/2.90 [269]~P20(x2691)+E(f4(f17(x2691),x2692,x2691),x2692)
% 2.82/2.90 [272]~P38(x2721)+E(f13(f17(x2721),x2722,x2721),f17(x2721))
% 2.82/2.90 [273]~P23(x2731)+E(f20(f5(x2731),x2732,x2731),f5(x2731))
% 2.82/2.90 [283]~P21(x2832)+E(f4(x2831,f16(x2831,x2832),x2832),f17(x2832))
% 2.82/2.90 [284]~P17(x2842)+E(f4(f16(x2841,x2842),x2841,x2842),f17(x2842))
% 2.82/2.90 [286]~P21(x2862)+E(f4(f16(x2861,x2862),x2861,x2862),f17(x2862))
% 2.82/2.90 [299]~P33(x2991)+P45(f30(f30(f24(x2991),x2992),f18(x2991)))
% 2.82/2.90 [291]~P30(x2911)+P45(f30(f30(f24(x2911),x2912),x2912))
% 2.82/2.90 [292]~P31(x2921)+P45(f30(f30(f24(x2921),x2922),x2922))
% 2.82/2.90 [301]~P1(x3011)+P45(f30(f30(f24(x3011),f15(x3011)),x3012))
% 2.82/2.90 [314]~P30(x3141)+~P45(f30(f30(f14(x3141),x3142),x3142))
% 2.82/2.90 [315]~P31(x3151)+~P45(f30(f30(f14(x3151),x3152),x3152))
% 2.82/2.90 [316]~P32(x3161)+~P45(f30(f30(f14(x3161),x3162),x3162))
% 2.82/2.90 [325]P45(f30(f30(f24(a33),x3252),x3251))+P45(f30(f30(f24(a33),x3251),x3252))
% 2.82/2.90 [354]~P45(f30(f30(f14(a33),x3541),x3542))+P45(f30(f30(f24(a33),x3541),x3542))
% 2.82/2.90 [420]~P34(x4201)+P45(f30(f30(f14(x4201),x4202),f4(x4202,f5(x4201),x4201)))
% 2.82/2.90 [440]P45(f30(f30(f14(a33),x4401),x4402))+P45(f30(f30(f14(a33),x4402),f4(x4401,f5(a33),a33)))
% 2.82/2.90 [480]~P45(f30(f30(f24(a33),x4801),x4802))+P45(f30(f30(f14(a33),x4801),f4(x4802,f5(a33),a33)))
% 2.82/2.90 [503]P45(f30(f30(f24(a33),x5031),x5032))+~P45(f30(f30(f14(a33),x5031),f4(x5032,f5(a33),a33)))
% 2.82/2.90 [510]~P45(f30(f30(f14(a33),x5101),x5102))+~P45(f30(f30(f14(a33),x5102),f4(x5101,f5(a33),a33)))
% 2.82/2.90 [642]P45(f30(f30(f24(a33),x6421),x6422))+~P45(f30(f30(f24(a33),f4(x6421,f5(a33),a33)),f4(x6422,f5(a33),a33)))
% 2.82/2.90 [643]P45(f30(f30(f14(a33),x6431),x6432))+~P45(f30(f30(f14(a33),f4(x6431,f5(a33),a33)),f4(x6432,f5(a33),a33)))
% 2.82/2.90 [509]P45(f30(f30(f24(a33),x5091),x5092))+P45(f30(f30(f24(a33),f4(x5092,f5(a33),a33)),x5091))
% 2.82/2.90 [516]~P45(f30(f30(f14(a33),x5161),x5162))+P45(f30(f30(f24(a33),f4(x5161,f5(a33),a33)),x5162))
% 2.82/2.90 [586]P45(f30(f30(f14(a33),x5861),x5862))+~P45(f30(f30(f24(a33),f4(x5861,f5(a33),a33)),x5862))
% 2.82/2.90 [600]~P45(f30(f30(f24(a33),x6001),x6002))+~P45(f30(f30(f24(a33),f4(x6002,f5(a33),a33)),x6001))
% 2.82/2.90 [282]E(x2821,x2822)+~P3(x2821,x2822,x2823)
% 2.82/2.90 [302]~P6(x3021,x3022,x3023)+P4(x3021,x3022,x3023)
% 2.82/2.90 [295]~P15(x2953)+E(f4(x2951,x2952,x2953),f4(x2952,x2951,x2953))
% 2.82/2.90 [297]~P37(x2973)+E(f4(x2971,x2972,x2973),f4(x2972,x2971,x2973))
% 2.82/2.90 [311]E(x3111,x3112)+~E(f4(x3113,x3111,a33),f4(x3113,x3112,a33))
% 2.82/2.90 [312]E(x3121,x3122)+~E(f4(x3121,x3123,a33),f4(x3122,x3123,a33))
% 2.82/2.90 [625]~P9(x6251,x6253,x6252)+P9(f6(x6251,x6252,x6252,a1),f6(x6253,x6252,x6252,a1),x6252)
% 2.82/2.90 [626]~P7(x6261,x6263,x6262)+P7(f6(x6261,x6262,x6262,a1),f6(x6263,x6262,x6262,a1),x6262)
% 2.82/2.90 [627]~P10(x6271,x6273,x6272)+P10(f6(x6271,x6272,x6272,a1),f6(x6273,x6272,x6272,a1),x6272)
% 2.82/2.90 [298]E(x2981,x2982)+~E(f16(x2981,f34(x2983,a1)),f16(x2982,f34(x2983,a1)))
% 2.82/2.90 [328]~P17(x3282)+E(f4(f16(x3281,x3282),f4(x3283,x3281,x3282),x3282),x3283)
% 2.82/2.90 [329]~P21(x3292)+E(f4(f16(x3291,x3292),f4(x3291,x3293,x3292),x3292),x3293)
% 2.82/2.90 [331]~P38(x3312)+E(f13(f16(x3311,x3312),x3313,x3312),f16(f13(x3311,x3313,x3312),x3312))
% 2.82/2.90 [351]~P21(x3512)+E(f4(f16(x3511,x3512),f16(x3513,x3512),x3512),f16(f4(x3513,x3511,x3512),x3512))
% 2.82/2.90 [352]~P17(x3522)+E(f4(f16(x3521,x3522),f16(x3523,x3522),x3522),f16(f4(x3521,x3523,x3522),x3522))
% 2.82/2.90 [667]E(x6671,x6672)+P45(f30(f30(f25(f38(a32,a32)),f19(x6671,x6672,a32,a32)),f9(x6673,x6671)))
% 2.82/2.90 [668]E(x6681,x6682)+P45(f30(f30(f25(f38(a32,a32)),f19(x6681,x6682,a32,a32)),f10(x6683,x6682)))
% 2.82/2.90 [303]P8(x3031,x3032,x3033)+P45(f30(f30(f14(a33),x3032),x3033))
% 2.82/2.90 [306]~P45(f30(x3063,x3062))+P45(f30(f30(f25(x3061),x3062),x3063))
% 2.82/2.90 [330]P45(f30(x3301,x3302))+~P45(f30(f30(f25(x3303),x3302),x3301))
% 2.82/2.90 [343]~P21(x3432)+E(f4(x3431,f4(f16(x3431,x3432),x3433,x3432),x3432),x3433)
% 2.82/2.90 [425]P45(f30(f30(f25(x4251),x4252),x4253))+P45(f30(f30(f25(x4251),x4252),f16(x4253,f34(x4251,a1))))
% 2.82/2.90 [472]P45(f30(f30(f24(a33),x4721),f4(x4722,x4723,a33)))+~P45(f30(f30(f24(a33),x4721),x4723))
% 2.82/2.90 [474]P45(f30(f30(f24(a33),x4741),f4(x4742,x4743,a33)))+~P45(f30(f30(f24(a33),x4741),x4742))
% 2.82/2.90 [476]P45(f30(f30(f14(a33),x4761),f4(x4762,x4763,a33)))+~P45(f30(f30(f14(a33),x4761),x4763))
% 2.82/2.90 [478]P45(f30(f30(f14(a33),x4781),f4(x4782,x4783,a33)))+~P45(f30(f30(f14(a33),x4781),x4782))
% 2.82/2.90 [502]~P45(f30(f30(f25(x5021),x5022),x5023))+~P45(f30(f30(f25(x5021),x5022),f16(x5023,f34(x5021,a1))))
% 2.82/2.90 [560]P45(f30(f30(f24(a33),f4(x5601,x5602,a33)),f4(x5603,x5602,a33)))+~P45(f30(f30(f24(a33),x5601),x5603))
% 2.82/2.90 [561]P45(f30(f30(f24(a33),f4(x5611,x5612,a33)),f4(x5611,x5613,a33)))+~P45(f30(f30(f24(a33),x5612),x5613))
% 2.82/2.90 [562]P45(f30(f30(f14(a33),f4(x5621,x5622,a33)),f4(x5623,x5622,a33)))+~P45(f30(f30(f14(a33),x5621),x5623))
% 2.82/2.90 [563]P45(f30(f30(f14(a33),f4(x5631,x5632,a33)),f4(x5631,x5633,a33)))+~P45(f30(f30(f14(a33),x5632),x5633))
% 2.82/2.90 [566]P45(f30(f30(f24(a33),x5661),x5662))+~P45(f30(f30(f24(a33),f4(x5663,x5661,a33)),x5662))
% 2.82/2.90 [567]P45(f30(f30(f24(a33),x5671),x5672))+~P45(f30(f30(f24(a33),f4(x5671,x5673,a33)),x5672))
% 2.82/2.90 [568]P45(f30(f30(f14(a33),x5681),x5682))+~P45(f30(f30(f14(a33),f4(x5681,x5683,a33)),x5682))
% 2.82/2.90 [638]~P45(f30(f30(f24(a33),f4(x6383,x6381,a33)),f4(x6383,x6382,a33)))+P45(f30(f30(f24(a33),x6381),x6382))
% 2.82/2.90 [639]~P45(f30(f30(f14(a33),f4(x6393,x6391,a33)),f4(x6393,x6392,a33)))+P45(f30(f30(f14(a33),x6391),x6392))
% 2.82/2.90 [663]E(x6631,x6632)+~E(f30(f6(f25(x6633),x6633,f34(x6633,a1),a1),x6631),f30(f6(f25(x6633),x6633,f34(x6633,a1),a1),x6632))
% 2.82/2.90 [669]P45(f30(f30(f25(f38(x6691,x6691)),f19(x6692,x6692,x6691,x6691)),f2(x6693,x6691)))+~P45(f30(f30(f25(x6691),x6692),x6693))
% 2.82/2.90 [307]~P9(x3071,x3073,x3074)+P45(f30(f30(x3071,x3072),x3072))
% 2.82/2.90 [309]~P7(x3091,x3093,x3094)+P45(f30(f30(x3091,x3092),x3092))
% 2.82/2.90 [334]~P9(x3341,x3342,x3343)+~P45(f30(f30(x3342,x3344),x3344))
% 2.82/2.90 [335]~P7(x3351,x3352,x3353)+~P45(f30(f30(x3352,x3354),x3354))
% 2.82/2.90 [337]~P10(x3371,x3372,x3373)+~P45(f30(f30(x3372,x3374),x3374))
% 2.82/2.90 [390]~P17(x3904)+E(f4(x3901,f4(x3902,x3903,x3904),x3904),f4(x3902,f4(x3901,x3903,x3904),x3904))
% 2.82/2.90 [391]~P15(x3914)+E(f4(x3911,f4(x3912,x3913,x3914),x3914),f4(x3912,f4(x3911,x3913,x3914),x3914))
% 2.82/2.90 [392]~P37(x3924)+E(f4(x3921,f4(x3922,x3923,x3924),x3924),f4(x3922,f4(x3921,x3923,x3924),x3924))
% 2.82/2.90 [395]~P15(x3953)+E(f4(f4(x3951,x3952,x3953),x3954,x3953),f4(x3951,f4(x3952,x3954,x3953),x3953))
% 2.82/2.90 [396]~P37(x3963)+E(f4(f4(x3961,x3962,x3963),x3964,x3963),f4(x3961,f4(x3962,x3964,x3963),x3963))
% 2.82/2.90 [397]~P16(x3973)+E(f4(f4(x3971,x3972,x3973),x3974,x3973),f4(x3971,f4(x3972,x3974,x3973),x3973))
% 2.82/2.90 [398]~P37(x3983)+E(f4(f4(x3981,x3982,x3983),x3984,x3983),f4(f4(x3981,x3984,x3983),x3982,x3983))
% 2.82/2.90 [457]~P38(x4573)+E(f4(f13(x4571,x4572,x4573),f13(x4574,x4572,x4573),x4573),f13(f4(x4571,x4574,x4573),x4572,x4573))
% 2.82/2.90 [673]P45(f30(f30(f25(f38(x6731,x6731)),f19(x6732,x6733,x6731,x6731)),f27(x6734,x6731)))+~P45(f30(f30(f14(a33),f30(x6734,x6732)),f30(x6734,x6733)))
% 2.82/2.90 [676]E(x6761,x6762)+~P45(f30(f30(f25(f38(x6763,x6763)),f19(x6761,x6762,x6763,x6763)),f2(x6764,x6763)))
% 2.82/2.90 [688]~P45(f30(f30(f25(f38(x6884,x6884)),f19(x6882,x6883,x6884,x6884)),f27(x6881,x6884)))+P45(f30(f30(f14(a33),f30(x6881,x6882)),f30(x6881,x6883)))
% 2.82/2.90 [679]~P45(f30(f30(f25(f38(x6791,x6791)),f19(x6792,x6794,x6791,x6791)),f2(x6793,x6791)))+P45(f30(f30(f25(x6791),x6792),x6793))
% 2.82/2.90 [492]~P37(x4923)+E(f4(f4(x4921,x4922,x4923),f4(x4924,x4925,x4923),x4923),f4(f4(x4921,x4924,x4923),f4(x4922,x4925,x4923),x4923))
% 2.82/2.90 [637]~P45(f30(x6372,f30(x6371,x6375)))+P45(f30(f26(x6371,x6372,x6373,x6374),x6375))
% 2.82/2.90 [662]P45(f30(x6621,f30(x6622,x6623)))+~P45(f30(f26(x6622,x6621,x6624,x6625),x6623))
% 2.82/2.90 [674]P45(f30(f30(f25(f38(x6741,x6741)),f19(x6742,x6743,x6741,x6741)),f29(x6744,x6745,x6741)))+~P45(f30(f30(f14(a33),f30(x6744,x6742)),f30(x6744,x6743)))
% 2.82/2.90 [652]P45(f30(f30(f25(x6521),x6522),f26(x6523,x6524,x6521,x6525)))+~P45(f30(f30(f25(x6525),f30(x6523,x6522)),x6524))
% 2.82/2.90 [666]~P45(f30(f30(f25(x6665),x6663),f26(x6662,x6664,x6665,x6661)))+P45(f30(f30(f25(x6661),f30(x6662,x6663)),x6664))
% 2.82/2.90 [685]P45(f30(f30(f25(x6851),x6852),f3(x6853,x6851,x6854)))+~P45(f30(f30(f25(f38(x6851,x6854)),f19(x6852,x6855,x6851,x6854)),x6853))
% 2.82/2.90 [687]P45(f30(f30(f25(x6871),x6872),f22(x6873,x6874,x6871)))+~P45(f30(f30(f25(f38(x6874,x6871)),f19(x6875,x6872,x6874,x6871)),x6873))
% 2.82/2.90 [546]E(x5461,x5462)+~E(f19(x5463,x5461,x5464,x5465),f19(x5466,x5462,x5464,x5465))
% 2.82/2.90 [547]E(x5471,x5472)+~E(f19(x5471,x5473,x5474,x5475),f19(x5472,x5476,x5474,x5475))
% 2.82/2.90 [695]~P45(f30(f30(f25(f38(x6955,x6951)),f19(x6954,x6952,x6955,x6951)),f21(x6956,x6953,x6955,x6951)))+P45(f30(f30(f25(x6951),x6952),f30(x6953,x6954)))
% 2.82/2.90 [694]~P45(f30(f30(f25(f38(x6941,x6944)),f19(x6942,x6945,x6941,x6944)),f21(x6943,x6946,x6941,x6944)))+P45(f30(f30(f25(x6941),x6942),x6943))
% 2.82/2.90 [389]~P13(x3891)+E(f4(f17(x3891),f17(x3891),x3891),f17(x3891))+~P45(f30(f30(f24(x3891),f17(x3891)),f17(x3891)))
% 2.82/2.90 [245]~P25(x2452)+~E(f16(x2451,x2452),x2451)+E(x2451,f17(x2452))
% 2.82/2.90 [251]~P21(x2512)+~E(f16(x2511,x2512),f17(x2512))+E(x2511,f17(x2512))
% 2.82/2.90 [252]~P21(x2521)+~E(f16(x2522,x2521),f17(x2521))+E(f17(x2521),x2522)
% 2.82/2.90 [271]~P38(x2712)+E(f13(x2711,x2711,x2712),f5(x2712))+E(x2711,f17(x2712))
% 2.82/2.90 [287]~P22(x2872)+~E(f4(x2871,x2871,x2872),f17(x2872))+E(x2871,f17(x2872))
% 2.82/2.90 [275]~P40(x2752)+~P12(x2752)+E(f4(x2751,f17(x2752),x2752),x2751)
% 2.82/2.90 [280]~P38(x2802)+~P39(x2802)+E(f13(x2801,f17(x2802),x2802),f17(x2802))
% 2.82/2.90 [421]~P22(x4211)+P45(f30(f30(f24(x4211),x4212),f16(x4212,x4211)))+~P45(f30(f30(f24(x4211),x4212),f17(x4211)))
% 2.82/2.90 [422]~P25(x4221)+P45(f30(f30(f24(x4221),x4222),f16(x4222,x4221)))+~P45(f30(f30(f24(x4221),x4222),f17(x4221)))
% 2.82/2.90 [423]~P41(x4231)+P45(f30(f30(f14(x4231),x4232),f16(x4232,x4231)))+~P45(f30(f30(f14(x4231),x4232),f17(x4231)))
% 2.82/2.90 [428]~P22(x4281)+~P45(f30(f30(f24(x4281),x4282),f16(x4282,x4281)))+P45(f30(f30(f24(x4281),x4282),f17(x4281)))
% 2.82/2.90 [429]~P25(x4291)+~P45(f30(f30(f24(x4291),x4292),f16(x4292,x4291)))+P45(f30(f30(f24(x4291),x4292),f17(x4291)))
% 2.82/2.90 [430]~P41(x4301)+~P45(f30(f30(f14(x4301),x4302),f16(x4302,x4301)))+P45(f30(f30(f14(x4301),x4302),f17(x4301)))
% 2.82/2.90 [431]~P26(x4311)+~P45(f30(f30(f24(x4311),x4312),f17(x4311)))+P45(f30(f30(f24(x4311),f17(x4311)),f16(x4312,x4311)))
% 2.82/2.90 [432]~P26(x4321)+~P45(f30(f30(f14(x4321),x4322),f17(x4321)))+P45(f30(f30(f14(x4321),f17(x4321)),f16(x4322,x4321)))
% 2.82/2.90 [443]~P26(x4431)+~P45(f30(f30(f24(x4431),f17(x4431)),f16(x4432,x4431)))+P45(f30(f30(f24(x4431),x4432),f17(x4431)))
% 2.82/2.90 [444]~P26(x4441)+~P45(f30(f30(f14(x4441),f17(x4441)),f16(x4442,x4441)))+P45(f30(f30(f14(x4441),x4442),f17(x4441)))
% 2.82/2.90 [529]~P22(x5291)+~P45(f30(f30(f24(x5291),x5292),f17(x5291)))+P45(f30(f30(f24(x5291),f4(x5292,x5292,x5291)),f17(x5291)))
% 2.82/2.90 [530]~P22(x5301)+~P45(f30(f30(f14(x5301),x5302),f17(x5301)))+P45(f30(f30(f14(x5301),f4(x5302,x5302,x5301)),f17(x5301)))
% 2.82/2.90 [531]~P41(x5311)+~P45(f30(f30(f14(x5311),x5312),f17(x5311)))+P45(f30(f30(f14(x5311),f4(x5312,x5312,x5311)),f17(x5311)))
% 2.82/2.90 [597]~P22(x5971)+~P45(f30(f30(f24(x5971),f4(x5972,x5972,x5971)),f17(x5971)))+P45(f30(f30(f24(x5971),x5972),f17(x5971)))
% 2.82/2.90 [598]~P22(x5981)+~P45(f30(f30(f14(x5981),f4(x5982,x5982,x5981)),f17(x5981)))+P45(f30(f30(f14(x5981),x5982),f17(x5981)))
% 2.82/2.90 [599]~P41(x5991)+~P45(f30(f30(f14(x5991),f4(x5992,x5992,x5991)),f17(x5991)))+P45(f30(f30(f14(x5991),x5992),f17(x5991)))
% 2.82/2.90 [324]~P28(x3241)+~P29(x3241)+E(f20(f17(x3241),f4(x3242,f5(a33),a33),x3241),f17(x3241))
% 2.82/2.90 [327]E(x3271,x3272)+P45(f30(f30(f14(a33),x3272),x3271))+P45(f30(f30(f14(a33),x3271),x3272))
% 2.82/2.90 [357]E(x3571,x3572)+P45(f30(f30(f14(a33),x3571),x3572))+~P45(f30(f30(f24(a33),x3571),x3572))
% 2.82/2.90 [382]E(x3821,x3822)+~P45(f30(f30(f24(a33),x3822),x3821))+~P45(f30(f30(f24(a33),x3821),x3822))
% 2.82/2.90 [449]~P22(x4491)+~P45(f30(f30(f24(x4491),f17(x4491)),x4492))+P45(f30(f30(f24(x4491),f16(x4492,x4491)),x4492))
% 2.82/2.90 [450]~P25(x4501)+~P45(f30(f30(f24(x4501),f17(x4501)),x4502))+P45(f30(f30(f24(x4501),f16(x4502,x4501)),x4502))
% 2.82/2.90 [455]~P26(x4551)+P45(f30(f30(f24(x4551),f16(x4552,x4551)),f17(x4551)))+~P45(f30(f30(f24(x4551),f17(x4551)),x4552))
% 2.82/2.90 [456]~P26(x4561)+P45(f30(f30(f14(x4561),f16(x4562,x4561)),f17(x4561)))+~P45(f30(f30(f14(x4561),f17(x4561)),x4562))
% 2.82/2.90 [483]~P22(x4831)+~P45(f30(f30(f24(x4831),f16(x4832,x4831)),x4832))+P45(f30(f30(f24(x4831),f17(x4831)),x4832))
% 2.82/2.90 [484]~P25(x4841)+~P45(f30(f30(f24(x4841),f16(x4842,x4841)),x4842))+P45(f30(f30(f24(x4841),f17(x4841)),x4842))
% 2.82/2.90 [485]~P26(x4851)+~P45(f30(f30(f24(x4851),f16(x4852,x4851)),f17(x4851)))+P45(f30(f30(f24(x4851),f17(x4851)),x4852))
% 2.82/2.90 [486]~P26(x4861)+~P45(f30(f30(f14(x4861),f16(x4862,x4861)),f17(x4861)))+P45(f30(f30(f14(x4861),f17(x4861)),x4862))
% 2.82/2.90 [497]~P22(x4971)+P45(f30(f30(f24(x4971),f17(x4971)),f4(x4972,x4972,x4971)))+~P45(f30(f30(f24(x4971),f17(x4971)),x4972))
% 2.82/2.90 [500]~P22(x5001)+P45(f30(f30(f14(x5001),f17(x5001)),f4(x5002,x5002,x5001)))+~P45(f30(f30(f14(x5001),f17(x5001)),x5002))
% 2.82/2.90 [506]E(x5061,x5062)+P45(f30(f30(f14(a33),x5062),x5061))+~P45(f30(f30(f14(a33),x5062),f4(x5061,f5(a33),a33)))
% 2.82/2.90 [508]E(x5081,x5082)+P45(f30(f30(f14(a33),x5081),x5082))+~P45(f30(f30(f14(a33),x5081),f4(x5082,f5(a33),a33)))
% 2.82/2.90 [511]E(x5111,x5112)+~P45(f30(f30(f24(a33),x5112),x5111))+~P45(f30(f30(f14(a33),x5111),f4(x5112,f5(a33),a33)))
% 2.82/2.90 [512]E(x5121,f4(x5122,f5(a33),a33))+P45(f30(f30(f24(a33),x5121),x5122))+~P45(f30(f30(f24(a33),x5121),f4(x5122,f5(a33),a33)))
% 2.82/2.90 [513]~P22(x5131)+~P45(f30(f30(f24(x5131),f17(x5131)),f4(x5132,x5132,x5131)))+P45(f30(f30(f24(x5131),f17(x5131)),x5132))
% 2.82/2.90 [514]~P22(x5141)+~P45(f30(f30(f14(x5141),f17(x5141)),f4(x5142,x5142,x5141)))+P45(f30(f30(f14(x5141),f17(x5141)),x5142))
% 2.82/2.90 [528]E(f4(x5281,f5(a33),a33),x5282)+~P45(f30(f30(f14(a33),x5281),x5282))+P45(f30(f30(f14(a33),f4(x5281,f5(a33),a33)),x5282))
% 2.82/2.90 [258]~P21(x2583)+E(x2581,x2582)+~E(f16(x2581,x2583),f16(x2582,x2583))
% 2.82/2.90 [259]~P2(x2593)+E(x2591,x2592)+~E(f16(x2591,x2593),f16(x2592,x2593))
% 2.82/2.90 [288]~P43(x2882)+~E(f20(x2881,x2883,x2882),f17(x2882))+E(x2881,f17(x2882))
% 2.82/2.90 [293]~P21(x2933)+~E(f4(x2931,x2932,x2933),f17(x2933))+E(x2931,f16(x2932,x2933))
% 2.82/2.90 [294]~P21(x2942)+~E(f4(x2941,x2943,x2942),f17(x2942))+E(f16(x2941,x2942),x2943)
% 2.82/2.90 [313]~P38(x3132)+E(x3131,f17(x3132))+E(f13(f16(x3133,x3132),f16(x3131,x3132),x3132),f13(x3133,x3131,x3132))
% 2.82/2.90 [317]~P38(x3172)+~P39(x3172)+E(f13(f16(x3171,x3172),f16(x3173,x3172),x3172),f13(x3171,x3173,x3172))
% 2.82/2.90 [332]~P38(x3322)+E(x3321,f17(x3322))+E(f13(x3323,f16(x3321,x3322),x3322),f16(f13(x3323,x3321,x3322),x3322))
% 2.82/2.90 [333]~P38(x3333)+~P39(x3333)+E(f13(x3331,f16(x3332,x3333),x3333),f16(f13(x3331,x3332,x3333),x3333))
% 2.82/2.90 [427]P8(x4271,x4272,x4273)+~P8(x4271,f4(x4272,f5(a33),a33),x4273)+~P45(f30(x4271,x4272))
% 2.82/2.90 [446]~P26(x4461)+~P45(f30(f30(f24(x4461),x4463),f16(x4462,x4461)))+P45(f30(f30(f24(x4461),x4462),f16(x4463,x4461)))
% 2.82/2.90 [448]~P26(x4481)+~P45(f30(f30(f14(x4481),x4483),f16(x4482,x4481)))+P45(f30(f30(f14(x4481),x4482),f16(x4483,x4481)))
% 2.82/2.90 [550]~P22(x5501)+~P45(f30(f30(f24(x5501),x5502),f16(x5503,x5501)))+P45(f30(f30(f24(x5501),f4(x5502,x5503,x5501)),f17(x5501)))
% 2.82/2.90 [607]~P22(x6071)+~P45(f30(f30(f24(x6071),f4(x6072,x6073,x6071)),f17(x6071)))+P45(f30(f30(f24(x6071),x6072),f16(x6073,x6071)))
% 2.82/2.90 [338]~P32(x3381)+P45(f30(f30(f24(x3381),x3383),x3382))+P45(f30(f30(f24(x3381),x3382),x3383))
% 2.82/2.90 [341]~P32(x3411)+P45(f30(f30(f14(x3411),x3413),x3412))+P45(f30(f30(f24(x3411),x3412),x3413))
% 2.82/2.90 [367]~P8(x3671,x3672,x3673)+P45(f30(x3671,x3672))+~P45(f30(f30(f14(a33),x3672),x3673))
% 2.82/2.90 [370]~P30(x3701)+~P45(f30(f30(f14(x3701),x3702),x3703))+P45(f30(f30(f24(x3701),x3702),x3703))
% 2.82/2.90 [371]~P31(x3711)+~P45(f30(f30(f14(x3711),x3712),x3713))+P45(f30(f30(f24(x3711),x3712),x3713))
% 2.82/2.90 [399]~P30(x3991)+~P45(f30(f30(f14(x3991),x3993),x3992))+~P45(f30(f30(f24(x3991),x3992),x3993))
% 2.82/2.90 [401]~P30(x4011)+~P45(f30(f30(f14(x4011),x4013),x4012))+~P45(f30(f30(f14(x4011),x4012),x4013))
% 2.82/2.90 [402]~P31(x4021)+~P45(f30(f30(f14(x4021),x4023),x4022))+~P45(f30(f30(f14(x4021),x4022),x4023))
% 2.82/2.90 [404]~P32(x4041)+~P45(f30(f30(f14(x4041),x4043),x4042))+~P45(f30(f30(f24(x4041),x4042),x4043))
% 2.82/2.90 [406]~P32(x4061)+~P45(f30(f30(f14(x4061),x4063),x4062))+~P45(f30(f30(f14(x4061),x4062),x4063))
% 2.82/2.90 [424]~P38(x4241)+~P39(x4241)+E(f20(f13(f5(x4241),x4242,x4241),x4243,x4241),f13(f5(x4241),f20(x4242,x4243,x4241),x4241))
% 2.82/2.90 [437]~P45(f30(f30(f24(a33),x4371),x4373))+P45(f30(f30(f24(a33),x4371),x4372))+~P45(f30(f30(f24(a33),x4373),x4372))
% 2.82/2.90 [458]~P26(x4581)+P45(f30(f30(f24(x4581),f16(x4582,x4581)),f16(x4583,x4581)))+~P45(f30(f30(f24(x4581),x4583),x4582))
% 2.82/2.90 [459]~P26(x4591)+P45(f30(f30(f14(x4591),f16(x4592,x4591)),f16(x4593,x4591)))+~P45(f30(f30(f14(x4591),x4593),x4592))
% 2.82/2.90 [490]~P26(x4901)+~P45(f30(f30(f24(x4901),f16(x4903,x4901)),f16(x4902,x4901)))+P45(f30(f30(f24(x4901),x4902),x4903))
% 2.82/2.90 [491]~P26(x4911)+~P45(f30(f30(f14(x4911),f16(x4913,x4911)),f16(x4912,x4911)))+P45(f30(f30(f14(x4911),x4912),x4913))
% 2.82/2.90 [494]~P26(x4941)+~P45(f30(f30(f24(x4941),f16(x4943,x4941)),x4942))+P45(f30(f30(f24(x4941),f16(x4942,x4941)),x4943))
% 2.82/2.90 [496]~P26(x4961)+~P45(f30(f30(f14(x4961),f16(x4963,x4961)),x4962))+P45(f30(f30(f14(x4961),f16(x4962,x4961)),x4963))
% 2.82/2.90 [498]~P34(x4981)+P45(f30(f30(f24(x4981),f17(x4981)),f20(x4982,x4983,x4981)))+~P45(f30(f30(f24(x4981),f17(x4981)),x4982))
% 2.82/2.90 [499]~P34(x4991)+P45(f30(f30(f24(x4991),f5(x4991)),f20(x4992,x4993,x4991)))+~P45(f30(f30(f24(x4991),f5(x4991)),x4992))
% 2.82/2.90 [501]~P34(x5011)+P45(f30(f30(f14(x5011),f17(x5011)),f20(x5012,x5013,x5011)))+~P45(f30(f30(f14(x5011),f17(x5011)),x5012))
% 2.82/2.90 [559]~P45(f30(f30(f14(a33),x5591),x5593))+~P45(f30(f30(f14(a33),x5593),x5592))+P45(f30(f30(f14(a33),f4(x5591,f5(a33),a33)),x5592))
% 2.82/2.90 [601]~P34(x6011)+~P45(f30(f30(f14(x6011),f5(x6011)),x6012))+P45(f30(f30(f14(x6011),f5(x6011)),f20(x6012,f4(x6013,f5(a33),a33),x6011)))
% 2.82/2.90 [653]~P42(x6531)+~P45(f30(f30(f14(x6531),x6532),x6533))+P45(f30(f30(f14(x6531),x6532),f13(f4(x6532,x6533,x6531),f4(f5(x6531),f5(x6531),x6531),x6531)))
% 2.82/2.90 [672]~P42(x6721)+~P45(f30(f30(f14(x6721),x6722),x6723))+P45(f30(f30(f14(x6721),f13(f4(x6722,x6723,x6721),f4(f5(x6721),f5(x6721),x6721),x6721)),x6723))
% 2.82/2.90 [320]~P18(x3204)+E(x3201,x3202)+~E(f4(x3203,x3201,x3204),f4(x3203,x3202,x3204))
% 2.82/2.90 [321]~P19(x3214)+E(x3211,x3212)+~E(f4(x3213,x3211,x3214),f4(x3213,x3212,x3214))
% 2.82/2.90 [322]~P19(x3224)+E(x3221,x3222)+~E(f4(x3221,x3223,x3224),f4(x3222,x3223,x3224))
% 2.82/2.90 [369]~P17(x3693)+E(x3691,f16(x3692,x3693))+~E(f4(x3691,f4(x3694,x3692,x3693),x3693),x3694)
% 2.82/2.90 [460]~P38(x4602)+E(x4601,f17(x4602))+E(f13(f20(x4603,x4604,x4602),f20(x4601,x4604,x4602),x4602),f20(f13(x4603,x4601,x4602),x4604,x4602))
% 2.82/2.90 [461]~P38(x4613)+~P39(x4613)+E(f13(f20(x4611,x4612,x4613),f20(x4614,x4612,x4613),x4613),f20(f13(x4611,x4614,x4613),x4612,x4613))
% 2.82/2.90 [442]~E(f4(x4421,x4423,a33),f4(x4424,x4422,a33))+~P45(f30(f30(f14(a33),x4424),x4423))+P45(f30(f30(f14(a33),x4421),x4422))
% 2.82/2.90 [572]~P14(x5721)+P45(f30(f30(f24(x5721),f4(x5722,x5723,x5721)),f4(x5724,x5723,x5721)))+~P45(f30(f30(f24(x5721),x5722),x5724))
% 2.82/2.90 [573]~P24(x5731)+P45(f30(f30(f24(x5731),f4(x5732,x5733,x5731)),f4(x5734,x5733,x5731)))+~P45(f30(f30(f24(x5731),x5732),x5734))
% 2.82/2.90 [574]~P14(x5741)+P45(f30(f30(f24(x5741),f4(x5742,x5743,x5741)),f4(x5742,x5744,x5741)))+~P45(f30(f30(f24(x5741),x5743),x5744))
% 2.82/2.90 [575]~P24(x5751)+P45(f30(f30(f24(x5751),f4(x5752,x5753,x5751)),f4(x5752,x5754,x5751)))+~P45(f30(f30(f24(x5751),x5753),x5754))
% 2.82/2.90 [576]~P14(x5761)+P45(f30(f30(f14(x5761),f4(x5762,x5763,x5761)),f4(x5764,x5763,x5761)))+~P45(f30(f30(f14(x5761),x5762),x5764))
% 2.82/2.90 [577]~P27(x5771)+P45(f30(f30(f14(x5771),f4(x5772,x5773,x5771)),f4(x5774,x5773,x5771)))+~P45(f30(f30(f14(x5771),x5772),x5774))
% 2.82/2.90 [578]~P14(x5781)+P45(f30(f30(f14(x5781),f4(x5782,x5783,x5781)),f4(x5782,x5784,x5781)))+~P45(f30(f30(f14(x5781),x5783),x5784))
% 2.82/2.90 [579]~P27(x5791)+P45(f30(f30(f14(x5791),f4(x5792,x5793,x5791)),f4(x5792,x5794,x5791)))+~P45(f30(f30(f14(x5791),x5793),x5794))
% 2.82/2.90 [605]P45(f30(f30(f24(a33),f4(x6051,x6052,a33)),f4(x6053,x6054,a33)))+~P45(f30(f30(f24(a33),x6052),x6054))+~P45(f30(f30(f24(a33),x6051),x6053))
% 2.82/2.90 [606]P45(f30(f30(f14(a33),f4(x6061,x6062,a33)),f4(x6063,x6064,a33)))+~P45(f30(f30(f14(a33),x6062),x6064))+~P45(f30(f30(f14(a33),x6061),x6063))
% 2.82/2.90 [644]~P14(x6441)+~P45(f30(f30(f24(x6441),f4(x6444,x6442,x6441)),f4(x6444,x6443,x6441)))+P45(f30(f30(f24(x6441),x6442),x6443))
% 2.82/2.90 [645]~P14(x6451)+~P45(f30(f30(f24(x6451),f4(x6452,x6454,x6451)),f4(x6453,x6454,x6451)))+P45(f30(f30(f24(x6451),x6452),x6453))
% 2.82/2.90 [646]~P14(x6461)+~P45(f30(f30(f14(x6461),f4(x6464,x6462,x6461)),f4(x6464,x6463,x6461)))+P45(f30(f30(f14(x6461),x6462),x6463))
% 2.82/2.90 [647]~P14(x6471)+~P45(f30(f30(f14(x6471),f4(x6472,x6474,x6471)),f4(x6473,x6474,x6471)))+P45(f30(f30(f14(x6471),x6472),x6473))
% 2.82/2.90 [671]~P4(x6714,x6713,x6711)+~P45(f30(f30(f25(x6711),x6712),x6714))+P45(f30(f30(f25(f38(x6711,x6711)),f19(x6712,x6712,x6711,x6711)),x6713))
% 2.82/2.90 [690]P45(f30(f30(f25(x6901),x6902),f28(x6903,x6901)))+~P45(f30(f30(f25(x6901),x6904),f28(x6903,x6901)))+~P45(f30(f30(f25(f38(x6901,x6901)),f19(x6902,x6904,x6901,x6901)),x6903))
% 2.82/2.90 [700]E(x7001,x7002)+~P45(f30(f30(f25(f38(a32,a32)),f19(x7003,x7001,a32,a32)),f10(x7004,x7002)))+P45(f30(f30(f25(f38(a32,a32)),f19(x7003,x7001,a32,a32)),x7004))
% 2.82/2.90 [701]E(x7011,x7012)+~P45(f30(f30(f25(f38(a32,a32)),f19(x7011,x7013,a32,a32)),f9(x7014,x7012)))+P45(f30(f30(f25(f38(a32,a32)),f19(x7011,x7013,a32,a32)),x7014))
% 2.82/2.90 [360]~P10(x3604,x3601,x3605)+P45(f30(f30(x3601,x3602),x3603))+P45(f30(f30(x3604,x3603),x3602))
% 2.82/2.90 [362]~P10(x3621,x3624,x3625)+P45(f30(f30(x3621,x3623),x3622))+P45(f30(f30(x3621,x3622),x3623))
% 2.82/2.90 [380]~P9(x3801,x3804,x3805)+~P45(f30(f30(x3804,x3802),x3803))+P45(f30(f30(x3801,x3802),x3803))
% 2.82/2.90 [381]~P7(x3811,x3814,x3815)+~P45(f30(f30(x3814,x3812),x3813))+P45(f30(f30(x3811,x3812),x3813))
% 2.82/2.90 [411]~P7(x4111,x4112,x4113)+~P45(f30(f30(x4112,x4115),x4114))+~P45(f30(f30(x4112,x4114),x4115))
% 2.82/2.90 [412]~P7(x4121,x4122,x4123)+~P45(f30(f30(x4121,x4125),x4124))+~P45(f30(f30(x4122,x4124),x4125))
% 2.82/2.90 [414]~P10(x4141,x4142,x4143)+~P45(f30(f30(x4142,x4145),x4144))+~P45(f30(f30(x4142,x4144),x4145))
% 2.82/2.90 [415]~P10(x4151,x4152,x4153)+~P45(f30(f30(x4151,x4155),x4154))+~P45(f30(f30(x4152,x4154),x4155))
% 2.82/2.90 [439]~P17(x4393)+E(f4(x4391,x4392,x4393),x4394)+~E(f4(x4391,f4(x4395,x4392,x4393),x4393),f4(x4395,x4394,x4393))
% 2.82/2.90 [489]E(x4891,x4892)+~E(f30(x4893,x4891),f30(x4893,x4892))+~P5(x4893,f18(f34(x4894,a1)),x4894,x4895)
% 2.82/2.90 [680]~P4(x6803,x6804,x6801)+~P45(f30(f30(f25(f38(x6801,x6801)),f19(x6805,x6802,x6801,x6801)),x6804))+P45(f30(f30(f25(x6801),x6802),x6803))
% 2.82/2.90 [681]~P4(x6813,x6814,x6811)+~P45(f30(f30(f25(f38(x6811,x6811)),f19(x6812,x6815,x6811,x6811)),x6814))+P45(f30(f30(f25(x6811),x6812),x6813))
% 2.82/2.90 [682]~P6(x6823,x6824,x6821)+~P45(f30(f30(f25(f38(x6821,x6821)),f19(x6825,x6822,x6821,x6821)),x6824))+P45(f30(f30(f25(x6821),x6822),x6823))
% 2.82/2.90 [683]~P6(x6833,x6834,x6831)+~P45(f30(f30(f25(f38(x6831,x6831)),f19(x6832,x6835,x6831,x6831)),x6834))+P45(f30(f30(f25(x6831),x6832),x6833))
% 2.82/2.90 [702]P45(f30(f30(f25(f38(x7021,x7021)),f19(x7022,x7023,x7021,x7021)),f29(x7024,x7025,x7021)))+~P45(f30(f30(f24(a33),f30(x7024,x7022)),f30(x7024,x7023)))+~P45(f30(f30(f25(f38(x7021,x7021)),f19(x7022,x7023,x7021,x7021)),x7025))
% 2.82/2.90 [678]~P45(f30(f30(f25(x6782),x6784),f30(x6786,x6783)))+P45(f30(f30(f25(f38(x6781,x6782)),f19(x6783,x6784,x6781,x6782)),f21(x6785,x6786,x6781,x6782)))+~P45(f30(f30(f25(x6781),x6783),x6785))
% 2.82/2.90 [692]P45(f30(f30(f25(x6921),x6922),f23(x6923,x6924,x6925,x6921)))+~P45(f30(f30(f25(f38(x6925,x6921)),f19(x6926,x6922,x6925,x6921)),x6923))+~P45(f30(f30(f25(x6925),x6926),x6924))
% 2.82/2.90 [703]P45(f30(f30(f25(x7031),x7035),x7036))+P45(f30(f30(f25(x7031),x7034),x7036))+E(f26(f30(f6(f30(f6(f7(f12(x7031),f30(f6(f25(x7032),x7032,f34(x7032,a1),a1),x7033),a1,f34(x7031,f34(x7031,x7031)),x7032),x7032,x7031,f34(x7031,x7031)),x7034),x7032,x7031,x7031),x7035),x7036,x7032,x7031),f15(f34(x7032,a1)))
% 2.82/2.90 [704]P45(f30(f30(f25(x7041),x7045),x7046))+~P45(f30(f30(f25(x7041),x7044),x7046))+E(f26(f30(f6(f30(f6(f7(f12(x7041),f30(f6(f25(x7042),x7042,f34(x7042,a1),a1),x7043),a1,f34(x7041,f34(x7041,x7041)),x7042),x7042,x7041,f34(x7041,x7041)),x7044),x7042,x7041,x7041),x7045),x7046,x7042,x7041),x7043)
% 2.82/2.90 [705]P45(f30(f30(f25(x7051),x7054),x7056))+~P45(f30(f30(f25(x7051),x7055),x7056))+E(f26(f30(f6(f30(f6(f7(f12(x7051),f30(f6(f25(x7052),x7052,f34(x7052,a1),a1),x7053),a1,f34(x7051,f34(x7051,x7051)),x7052),x7052,x7051,f34(x7051,x7051)),x7054),x7052,x7051,x7051),x7055),x7056,x7052,x7051),f16(x7053,f34(x7052,a1)))
% 2.82/2.90 [706]~P45(f30(f30(f25(x7061),x7065),x7066))+~P45(f30(f30(f25(x7061),x7064),x7066))+E(f26(f30(f6(f30(f6(f7(f12(x7061),f30(f6(f25(x7062),x7062,f34(x7062,a1),a1),x7063),a1,f34(x7061,f34(x7061,x7061)),x7062),x7062,x7061,f34(x7061,x7061)),x7064),x7062,x7061,x7061),x7065),x7066,x7062,x7061),f18(f34(x7062,a1)))
% 2.82/2.90 [708]P46(a500)+P45(f30(f30(f24(a33),f30(a35,x7081)),x7081))+~P45(f30(f30(f14(a33),x7081),f11(f18(f34(a31,a1)),a31)))+~P45(f30(f30(f25(f38(a32,a32)),f19(a41,a42,a32,a32)),f30(a37,f30(f6(f30(f6(f7(f12(f34(f38(a32,a32),a1)),f30(f6(f7(f14(a33),a36,a33,f34(a33,a1),a31),a31,a33,a1),f4(x7081,f5(a33),a33)),a1,f34(f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a31),a31,f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a39),a31,f34(f38(a32,a32),a1),f34(f38(a32,a32),a1)),a40))))
% 2.82/2.90 [709]P46(a500)+P45(f30(f30(f24(a33),f44(a37,a39,a40,a41,a42,a36,x7091)),x7091))+~P45(f30(f30(f14(a33),x7091),f11(f18(f34(a31,a1)),a31)))+~P45(f30(f30(f25(f38(a32,a32)),f19(a41,a42,a32,a32)),f30(a37,f30(f6(f30(f6(f7(f12(f34(f38(a32,a32),a1)),f30(f6(f7(f14(a33),a36,a33,f34(a33,a1),a31),a31,a33,a1),f4(x7091,f5(a33),a33)),a1,f34(f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a31),a31,f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a39),a31,f34(f38(a32,a32),a1),f34(f38(a32,a32),a1)),a40))))
% 2.82/2.90 [710]P46(a500)+~P45(f30(f30(f14(a33),x7101),f11(f18(f34(a31,a1)),a31)))+~P45(f30(f30(f25(f38(a32,a32)),f19(a41,a42,a32,a32)),f30(a37,f30(f6(f30(f6(f7(f12(f34(f38(a32,a32),a1)),f30(f6(f7(f14(a33),a36,a33,f34(a33,a1),a31),a31,a33,a1),f4(x7101,f5(a33),a33)),a1,f34(f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a31),a31,f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a39),a31,f34(f38(a32,a32),a1),f34(f38(a32,a32),a1)),a40))))+~P45(f30(f30(f25(f38(a32,a32)),f19(a42,a41,a32,a32)),f30(a37,f30(f6(f30(f6(f7(f12(f34(f38(a32,a32),a1)),f30(f6(f7(f14(a33),a36,a33,f34(a33,a1),a31),a31,a33,a1),f30(a35,x7101)),a1,f34(f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a31),a31,f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a39),a31,f34(f38(a32,a32),a1),f34(f38(a32,a32),a1)),a40))))
% 2.82/2.90 [711]P46(a500)+~P45(f30(f30(f14(a33),x7111),f11(f18(f34(a31,a1)),a31)))+~P45(f30(f30(f25(f38(a32,a32)),f19(a41,a42,a32,a32)),f30(a37,f30(f6(f30(f6(f7(f12(f34(f38(a32,a32),a1)),f30(f6(f7(f14(a33),a36,a33,f34(a33,a1),a31),a31,a33,a1),f4(x7111,f5(a33),a33)),a1,f34(f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a31),a31,f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a39),a31,f34(f38(a32,a32),a1),f34(f38(a32,a32),a1)),a40))))+~P45(f30(f30(f25(f38(a32,a32)),f19(a42,a41,a32,a32)),f30(a37,f30(f6(f30(f6(f7(f12(f34(f38(a32,a32),a1)),f30(f6(f7(f14(a33),a36,a33,f34(a33,a1),a31),a31,a33,a1),f44(a37,a39,a40,a41,a42,a36,x7111)),a1,f34(f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a31),a31,f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a39),a31,f34(f38(a32,a32),a1),f34(f38(a32,a32),a1)),a40))))
% 2.82/2.90 [548]~P39(x5481)+~P42(x5481)+~P45(f30(f30(f24(x5481),x5482),f17(x5481)))+P45(f30(f30(f24(x5481),f13(f5(x5481),x5482,x5481)),f17(x5481)))
% 2.82/2.90 [549]~P39(x5491)+~P42(x5491)+~P45(f30(f30(f14(x5491),x5492),f17(x5491)))+P45(f30(f30(f14(x5491),f13(f5(x5491),x5492,x5491)),f17(x5491)))
% 2.82/2.90 [611]~P39(x6111)+~P42(x6111)+~P45(f30(f30(f24(x6111),f13(f5(x6111),x6112,x6111)),f17(x6111)))+P45(f30(f30(f24(x6111),x6112),f17(x6111)))
% 2.82/2.90 [612]~P39(x6121)+~P42(x6121)+~P45(f30(f30(f14(x6121),f13(f5(x6121),x6122,x6121)),f17(x6121)))+P45(f30(f30(f14(x6121),x6122),f17(x6121)))
% 2.82/2.90 [504]~P39(x5041)+~P42(x5041)+~P45(f30(f30(f24(x5041),f17(x5041)),x5042))+P45(f30(f30(f24(x5041),f17(x5041)),f13(f5(x5041),x5042,x5041)))
% 2.82/2.90 [505]~P39(x5051)+~P42(x5051)+~P45(f30(f30(f14(x5051),f17(x5051)),x5052))+P45(f30(f30(f14(x5051),f17(x5051)),f13(f5(x5051),x5052,x5051)))
% 2.82/2.90 [522]~P39(x5221)+~P42(x5221)+~P45(f30(f30(f24(x5221),f17(x5221)),f13(f5(x5221),x5222,x5221)))+P45(f30(f30(f24(x5221),f17(x5221)),x5222))
% 2.82/2.90 [523]~P39(x5231)+~P42(x5231)+~P45(f30(f30(f14(x5231),f17(x5231)),f13(f5(x5231),x5232,x5231)))+P45(f30(f30(f14(x5231),f17(x5231)),x5232))
% 2.82/2.90 [289]~P38(x2893)+E(x2891,x2892)+~E(f13(x2891,x2892,x2893),f5(x2893))+E(x2892,f17(x2893))
% 2.82/2.90 [290]~P40(x2902)+~P12(x2902)+~E(f4(x2903,x2901,x2902),x2903)+E(x2901,f17(x2902))
% 2.82/2.90 [524]~P42(x5241)+~P45(f30(f30(f14(x5241),x5243),f17(x5241)))+~P45(f30(f30(f24(x5241),x5242),f17(x5241)))+P45(f30(f30(f24(x5241),f17(x5241)),f13(x5242,x5243,x5241)))
% 2.82/2.90 [525]~P42(x5251)+~P45(f30(f30(f14(x5251),x5253),f17(x5251)))+~P45(f30(f30(f14(x5251),x5252),f17(x5251)))+P45(f30(f30(f14(x5251),f17(x5251)),f13(x5252,x5253,x5251)))
% 2.82/2.90 [580]~P13(x5801)+~P45(f30(f30(f24(x5801),x5803),f17(x5801)))+~P45(f30(f30(f24(x5801),x5802),f17(x5801)))+P45(f30(f30(f24(x5801),f4(x5802,x5803,x5801)),f17(x5801)))
% 2.82/2.90 [581]~P13(x5811)+~P45(f30(f30(f24(x5811),x5813),f17(x5811)))+~P45(f30(f30(f14(x5811),x5812),f17(x5811)))+P45(f30(f30(f14(x5811),f4(x5812,x5813,x5811)),f17(x5811)))
% 2.82/2.90 [582]~P13(x5821)+~P45(f30(f30(f24(x5821),x5822),f17(x5821)))+~P45(f30(f30(f14(x5821),x5823),f17(x5821)))+P45(f30(f30(f14(x5821),f4(x5822,x5823,x5821)),f17(x5821)))
% 2.82/2.90 [583]~P13(x5831)+~P45(f30(f30(f14(x5831),x5833),f17(x5831)))+~P45(f30(f30(f14(x5831),x5832),f17(x5831)))+P45(f30(f30(f14(x5831),f4(x5832,x5833,x5831)),f17(x5831)))
% 2.82/2.90 [344]~P41(x3443)+E(x3441,x3442)+P45(f30(f30(f14(x3443),x3442),x3441))+P45(f30(f30(f14(x3443),x3441),x3442))
% 2.82/2.90 [348]~P32(x3483)+E(x3481,x3482)+P45(f30(f30(f14(x3483),x3482),x3481))+P45(f30(f30(f14(x3483),x3481),x3482))
% 2.82/2.90 [377]~P31(x3773)+E(x3771,x3772)+~P45(f30(f30(f24(x3773),x3771),x3772))+P45(f30(f30(f14(x3773),x3771),x3772))
% 2.82/2.90 [379]~P32(x3793)+E(x3791,x3792)+~P45(f30(f30(f24(x3793),x3791),x3792))+P45(f30(f30(f14(x3793),x3791),x3792))
% 2.82/2.90 [409]E(x4091,x4092)+~P31(x4093)+~P45(f30(f30(f24(x4093),x4092),x4091))+~P45(f30(f30(f24(x4093),x4091),x4092))
% 2.82/2.90 [436]~P30(x4361)+P45(f30(f30(f14(x4361),x4363),x4362))+~P45(f30(f30(f24(x4361),x4363),x4362))+P45(f30(f30(f24(x4361),x4362),x4363))
% 2.82/2.90 [462]~P8(x4621,x4622,x4623)+P8(x4621,f4(x4622,f5(a33),a33),x4623)+~P45(f30(x4621,x4622))+~P45(f30(f30(f14(a33),x4622),x4623))
% 2.82/2.90 [532]~P13(x5321)+P45(f30(f30(f24(x5321),f17(x5321)),f4(x5322,x5323,x5321)))+~P45(f30(f30(f24(x5321),f17(x5321)),x5323))+~P45(f30(f30(f24(x5321),f17(x5321)),x5322))
% 2.82/2.90 [533]~P42(x5331)+P45(f30(f30(f24(x5331),f17(x5331)),f13(x5332,x5333,x5331)))+~P45(f30(f30(f14(x5331),f17(x5331)),x5333))+~P45(f30(f30(f24(x5331),f17(x5331)),x5332))
% 2.82/2.90 [534]~P13(x5341)+P45(f30(f30(f14(x5341),f17(x5341)),f4(x5342,x5343,x5341)))+~P45(f30(f30(f24(x5341),f17(x5341)),x5343))+~P45(f30(f30(f14(x5341),f17(x5341)),x5342))
% 2.82/2.90 [535]~P13(x5351)+P45(f30(f30(f14(x5351),f17(x5351)),f4(x5352,x5353,x5351)))+~P45(f30(f30(f24(x5351),f17(x5351)),x5352))+~P45(f30(f30(f14(x5351),f17(x5351)),x5353))
% 2.82/2.90 [536]~P13(x5361)+P45(f30(f30(f14(x5361),f17(x5361)),f4(x5362,x5363,x5361)))+~P45(f30(f30(f14(x5361),f17(x5361)),x5363))+~P45(f30(f30(f14(x5361),f17(x5361)),x5362))
% 2.82/2.90 [537]~P42(x5371)+P45(f30(f30(f14(x5371),f17(x5371)),f13(x5372,x5373,x5371)))+~P45(f30(f30(f14(x5371),f17(x5371)),x5373))+~P45(f30(f30(f14(x5371),f17(x5371)),x5372))
% 2.82/2.90 [589]~P42(x5891)+~P45(f30(f30(f24(x5891),x5892),f17(x5891)))+P45(f30(f30(f24(x5891),f13(x5892,x5893,x5891)),f17(x5891)))+~P45(f30(f30(f14(x5891),f17(x5891)),x5893))
% 2.82/2.90 [590]~P42(x5901)+~P45(f30(f30(f14(x5901),x5903),f17(x5901)))+P45(f30(f30(f24(x5901),f13(x5902,x5903,x5901)),f17(x5901)))+~P45(f30(f30(f24(x5901),f17(x5901)),x5902))
% 2.82/2.90 [591]~P42(x5911)+~P45(f30(f30(f14(x5911),x5913),f17(x5911)))+P45(f30(f30(f14(x5911),f13(x5912,x5913,x5911)),f17(x5911)))+~P45(f30(f30(f14(x5911),f17(x5911)),x5912))
% 2.82/2.90 [592]~P42(x5921)+~P45(f30(f30(f14(x5921),x5922),f17(x5921)))+P45(f30(f30(f14(x5921),f13(x5922,x5923,x5921)),f17(x5921)))+~P45(f30(f30(f14(x5921),f17(x5921)),x5923))
% 2.82/2.90 [664]~P34(x6641)+~P45(f30(f30(f14(x6641),x6642),f5(x6641)))+P45(f30(f30(f14(x6641),f20(x6642,f4(x6643,f5(a33),a33),x6641)),f5(x6641)))+~P45(f30(f30(f14(x6641),f17(x6641)),x6642))
% 2.82/2.90 [323]~P40(x3234)+~P12(x3234)+E(x3231,x3232)+~E(f4(x3233,x3231,x3234),f4(x3233,x3232,x3234))
% 2.82/2.90 [435]~P34(x4354)+E(x4351,x4352)+~E(f20(x4353,x4351,x4354),f20(x4353,x4352,x4354))+~P45(f30(f30(f14(x4354),f5(x4354)),x4353))
% 2.82/2.90 [463]~P30(x4631)+~P45(f30(f30(f24(x4631),x4632),x4634))+P45(f30(f30(f24(x4631),x4632),x4633))+~P45(f30(f30(f24(x4631),x4634),x4633))
% 2.82/2.90 [464]~P31(x4641)+~P45(f30(f30(f24(x4641),x4642),x4644))+P45(f30(f30(f24(x4641),x4642),x4643))+~P45(f30(f30(f24(x4641),x4644),x4643))
% 2.82/2.90 [465]~P30(x4651)+~P45(f30(f30(f14(x4651),x4652),x4654))+P45(f30(f30(f14(x4651),x4652),x4653))+~P45(f30(f30(f24(x4651),x4654),x4653))
% 2.82/2.90 [466]~P30(x4661)+~P45(f30(f30(f14(x4661),x4664),x4663))+P45(f30(f30(f14(x4661),x4662),x4663))+~P45(f30(f30(f24(x4661),x4662),x4664))
% 2.82/2.90 [467]~P30(x4671)+~P45(f30(f30(f14(x4671),x4672),x4674))+P45(f30(f30(f14(x4671),x4672),x4673))+~P45(f30(f30(f14(x4671),x4674),x4673))
% 2.82/2.90 [468]~P31(x4681)+~P45(f30(f30(f14(x4681),x4682),x4684))+P45(f30(f30(f14(x4681),x4682),x4683))+~P45(f30(f30(f24(x4681),x4684),x4683))
% 2.82/2.90 [469]~P31(x4691)+~P45(f30(f30(f14(x4691),x4694),x4693))+P45(f30(f30(f14(x4691),x4692),x4693))+~P45(f30(f30(f24(x4691),x4692),x4694))
% 2.82/2.90 [470]~P31(x4701)+~P45(f30(f30(f14(x4701),x4702),x4704))+P45(f30(f30(f14(x4701),x4702),x4703))+~P45(f30(f30(f14(x4701),x4704),x4703))
% 2.82/2.90 [517]~P34(x5171)+P45(f30(f30(f14(x5171),x5172),f4(x5173,x5174,x5171)))+~P45(f30(f30(f14(x5171),f17(x5171)),x5173))+~P45(f30(f30(f14(x5171),x5172),x5174))
% 2.82/2.90 [617]~P42(x6171)+~P45(f30(f30(f14(x6171),x6173),f17(x6171)))+P45(f30(f30(f14(x6171),f13(x6172,x6173,x6171)),f13(x6174,x6173,x6171)))+~P45(f30(f30(f14(x6171),x6174),x6172))
% 2.82/2.90 [618]~P34(x6181)+P45(f30(f30(f24(x6181),f20(x6182,x6183,x6181)),f20(x6182,x6184,x6181)))+~P45(f30(f30(f24(x6181),f5(x6181)),x6182))+~P45(f30(f30(f24(a33),x6183),x6184))
% 2.82/2.90 [619]~P34(x6191)+P45(f30(f30(f24(x6191),f20(x6192,x6193,x6191)),f20(x6192,x6194,x6191)))+~P45(f30(f30(f14(x6191),f5(x6191)),x6192))+~P45(f30(f30(f24(a33),x6193),x6194))
% 2.82/2.90 [621]~P34(x6211)+P45(f30(f30(f14(x6211),f20(x6212,x6213,x6211)),f20(x6212,x6214,x6211)))+~P45(f30(f30(f14(x6211),f5(x6211)),x6212))+~P45(f30(f30(f14(a33),x6213),x6214))
% 2.82/2.90 [632]~P34(x6321)+P45(f30(f30(f24(x6321),f20(x6322,x6323,x6321)),f20(x6324,x6323,x6321)))+~P45(f30(f30(f24(x6321),x6322),x6324))+~P45(f30(f30(f24(x6321),f17(x6321)),x6322))
% 2.82/2.90 [633]~P42(x6331)+P45(f30(f30(f14(x6331),f13(x6332,x6333,x6331)),f13(x6334,x6333,x6331)))+~P45(f30(f30(f14(x6331),x6332),x6334))+~P45(f30(f30(f14(x6331),f17(x6331)),x6333))
% 2.82/2.90 [655]~P34(x6553)+~P45(f30(f30(f24(x6553),f20(x6554,x6551,x6553)),f20(x6554,x6552,x6553)))+~P45(f30(f30(f14(x6553),f5(x6553)),x6554))+P45(f30(f30(f24(a33),x6551),x6552))
% 2.82/2.90 [657]~P34(x6573)+~P45(f30(f30(f14(x6573),f20(x6574,x6571,x6573)),f20(x6574,x6572,x6573)))+~P45(f30(f30(f14(x6573),f5(x6573)),x6574))+P45(f30(f30(f14(a33),x6571),x6572))
% 2.82/2.90 [658]~P34(x6581)+~P45(f30(f30(f14(x6581),f20(x6582,x6584,x6581)),f20(x6583,x6584,x6581)))+~P45(f30(f30(f24(x6581),f17(x6581)),x6583))+P45(f30(f30(f14(x6581),x6582),x6583))
% 2.82/2.90 [696]E(x6961,x6962)+E(x6963,x6962)+P45(f30(f30(f25(f38(a32,a32)),f19(x6963,x6961,a32,a32)),f9(x6964,x6962)))+~P45(f30(f30(f25(f38(a32,a32)),f19(x6963,x6961,a32,a32)),x6964))
% 2.82/2.90 [697]E(x6971,x6972)+E(x6973,x6972)+P45(f30(f30(f25(f38(a32,a32)),f19(x6973,x6971,a32,a32)),f10(x6974,x6972)))+~P45(f30(f30(f25(f38(a32,a32)),f19(x6973,x6971,a32,a32)),x6974))
% 2.82/2.90 [698]E(x6981,x6982)+E(x6983,x6981)+P45(f30(f30(f25(f38(a32,a32)),f19(x6983,x6981,a32,a32)),f9(x6984,x6982)))+~P45(f30(f30(f25(f38(a32,a32)),f19(x6983,x6981,a32,a32)),x6984))
% 2.82/2.90 [699]E(x6991,x6992)+E(x6991,x6993)+P45(f30(f30(f25(f38(a32,a32)),f19(x6991,x6993,a32,a32)),f10(x6994,x6992)))+~P45(f30(f30(f25(f38(a32,a32)),f19(x6991,x6993,a32,a32)),x6994))
% 2.82/2.90 [675]~P34(x6751)+~P45(f30(f30(f24(x6751),f17(x6751)),x6753))+P45(f30(f30(f24(x6751),x6752),x6753))+~P45(f30(f30(f24(x6751),f20(x6752,f4(x6754,f5(a33),a33),x6751)),f20(x6753,f4(x6754,f5(a33),a33),x6751)))
% 2.82/2.90 [366]E(x3661,x3662)+~P10(x3664,x3663,x3665)+P45(f30(f30(x3663,x3661),x3662))+P45(f30(f30(x3663,x3662),x3661))
% 2.82/2.90 [387]E(x3871,x3872)+~P9(x3874,x3873,x3875)+~P45(f30(f30(x3874,x3871),x3872))+P45(f30(f30(x3873,x3871),x3872))
% 2.82/2.90 [388]E(x3881,x3882)+~P10(x3884,x3883,x3885)+~P45(f30(f30(x3884,x3881),x3882))+P45(f30(f30(x3883,x3881),x3882))
% 2.82/2.90 [419]E(x4191,x4192)+~P9(x4193,x4194,x4195)+~P45(f30(f30(x4193,x4192),x4191))+~P45(f30(f30(x4193,x4191),x4192))
% 2.82/2.90 [434]~P7(x4341,x4344,x4345)+~P45(f30(f30(x4341,x4343),x4342))+P45(f30(f30(x4341,x4342),x4343))+P45(f30(f30(x4344,x4343),x4342))
% 2.82/2.90 [602]~P26(x6021)+~P45(f30(f30(f24(x6021),x6022),f4(x6023,x6025,x6021)))+P45(f30(f30(f24(x6021),x6022),f4(x6023,x6024,x6021)))+~P45(f30(f30(f24(x6021),x6025),x6024))
% 2.82/2.90 [613]~P24(x6131)+P45(f30(f30(f24(x6131),f4(x6132,x6133,x6131)),f4(x6134,x6135,x6131)))+~P45(f30(f30(f24(x6131),x6133),x6135))+~P45(f30(f30(f24(x6131),x6132),x6134))
% 2.82/2.90 [614]~P27(x6141)+P45(f30(f30(f14(x6141),f4(x6142,x6143,x6141)),f4(x6144,x6145,x6141)))+~P45(f30(f30(f24(x6141),x6143),x6145))+~P45(f30(f30(f14(x6141),x6142),x6144))
% 2.82/2.90 [615]~P27(x6151)+P45(f30(f30(f14(x6151),f4(x6152,x6153,x6151)),f4(x6154,x6155,x6151)))+~P45(f30(f30(f24(x6151),x6152),x6154))+~P45(f30(f30(f14(x6151),x6153),x6155))
% 2.82/2.90 [616]~P27(x6161)+P45(f30(f30(f14(x6161),f4(x6162,x6163,x6161)),f4(x6164,x6165,x6161)))+~P45(f30(f30(f14(x6161),x6163),x6165))+~P45(f30(f30(f14(x6161),x6162),x6164))
% 2.82/2.90 [451]~P7(x4514,x4511,x4515)+~P45(f30(f30(x4511,x4516),x4513))+P45(f30(f30(x4511,x4512),x4513))+~P45(f30(f30(x4514,x4512),x4516))
% 2.82/2.90 [452]~P7(x4524,x4521,x4525)+~P45(f30(f30(x4521,x4522),x4526))+P45(f30(f30(x4521,x4522),x4523))+~P45(f30(f30(x4521,x4526),x4523))
% 2.82/2.90 [453]~P7(x4534,x4531,x4535)+~P45(f30(f30(x4531,x4532),x4536))+P45(f30(f30(x4531,x4532),x4533))+~P45(f30(f30(x4534,x4536),x4533))
% 2.82/2.90 [454]~P7(x4541,x4544,x4545)+~P45(f30(f30(x4541,x4542),x4546))+P45(f30(f30(x4541,x4542),x4543))+~P45(f30(f30(x4541,x4546),x4543))
% 2.82/2.90 [526]~P39(x5261)+~P42(x5261)+~P45(f30(f30(f24(x5261),x5263),f17(x5261)))+~P45(f30(f30(f24(x5261),x5262),f17(x5261)))+P45(f30(f30(f24(x5261),f17(x5261)),f13(x5262,x5263,x5261)))
% 2.82/2.90 [622]~P39(x6221)+~P42(x6221)+~P45(f30(f30(f24(x6221),f13(x6223,x6222,x6221)),f17(x6221)))+P45(f30(f30(f24(x6221),x6222),f17(x6221)))+P45(f30(f30(f24(x6221),x6223),f17(x6221)))
% 2.82/2.90 [623]~P39(x6231)+~P42(x6231)+~P45(f30(f30(f14(x6231),f13(x6233,x6232,x6231)),f17(x6231)))+P45(f30(f30(f14(x6231),x6232),f17(x6231)))+P45(f30(f30(f14(x6231),x6233),f17(x6231)))
% 2.82/2.90 [487]~P13(x4872)+~E(f4(x4873,x4871,x4872),f17(x4872))+E(x4871,f17(x4872))+~P45(f30(f30(f24(x4872),f17(x4872)),x4871))+~P45(f30(f30(f24(x4872),f17(x4872)),x4873))
% 2.82/2.90 [488]~P13(x4882)+~E(f4(x4881,x4883,x4882),f17(x4882))+E(x4881,f17(x4882))+~P45(f30(f30(f24(x4882),f17(x4882)),x4883))+~P45(f30(f30(f24(x4882),f17(x4882)),x4881))
% 2.82/2.90 [538]~P39(x5381)+~P42(x5381)+P45(f30(f30(f24(x5381),f17(x5381)),f13(x5382,x5383,x5381)))+~P45(f30(f30(f24(x5381),f17(x5381)),x5383))+~P45(f30(f30(f24(x5381),f17(x5381)),x5382))
% 2.82/2.90 [551]~P39(x5511)+~P42(x5511)+~P45(f30(f30(f24(x5511),f17(x5511)),f13(x5513,x5512,x5511)))+P45(f30(f30(f24(x5511),x5512),f17(x5511)))+P45(f30(f30(f24(x5511),f17(x5511)),x5513))
% 2.82/2.90 [552]~P39(x5521)+~P42(x5521)+~P45(f30(f30(f24(x5521),f17(x5521)),f13(x5522,x5523,x5521)))+P45(f30(f30(f24(x5521),x5522),f17(x5521)))+P45(f30(f30(f24(x5521),f17(x5521)),x5523))
% 2.82/2.90 [553]~P39(x5531)+~P42(x5531)+~P45(f30(f30(f24(x5531),f17(x5531)),f13(x5533,x5532,x5531)))+P45(f30(f30(f24(x5531),x5532),f17(x5531)))+P45(f30(f30(f24(x5531),f17(x5531)),x5532))
% 2.82/2.90 [554]~P39(x5541)+~P42(x5541)+~P45(f30(f30(f24(x5541),f17(x5541)),f13(x5542,x5543,x5541)))+P45(f30(f30(f24(x5541),x5542),f17(x5541)))+P45(f30(f30(f24(x5541),f17(x5541)),x5542))
% 2.82/2.90 [555]~P39(x5551)+~P42(x5551)+~P45(f30(f30(f14(x5551),f17(x5551)),f13(x5553,x5552,x5551)))+P45(f30(f30(f14(x5551),x5552),f17(x5551)))+P45(f30(f30(f14(x5551),f17(x5551)),x5553))
% 2.82/2.90 [556]~P39(x5561)+~P42(x5561)+~P45(f30(f30(f14(x5561),f17(x5561)),f13(x5562,x5563,x5561)))+P45(f30(f30(f14(x5561),x5562),f17(x5561)))+P45(f30(f30(f14(x5561),f17(x5561)),x5563))
% 2.82/2.90 [557]~P39(x5571)+~P42(x5571)+~P45(f30(f30(f14(x5571),f17(x5571)),f13(x5573,x5572,x5571)))+P45(f30(f30(f14(x5571),x5572),f17(x5571)))+P45(f30(f30(f14(x5571),f17(x5571)),x5572))
% 2.82/2.90 [558]~P39(x5581)+~P42(x5581)+~P45(f30(f30(f14(x5581),f17(x5581)),f13(x5582,x5583,x5581)))+P45(f30(f30(f14(x5581),x5582),f17(x5581)))+P45(f30(f30(f14(x5581),f17(x5581)),x5582))
% 2.82/2.90 [593]~P39(x5931)+~P42(x5931)+~P45(f30(f30(f24(x5931),x5933),f17(x5931)))+P45(f30(f30(f24(x5931),f13(x5932,x5933,x5931)),f17(x5931)))+~P45(f30(f30(f24(x5931),f17(x5931)),x5932))
% 2.82/2.90 [594]~P39(x5941)+~P42(x5941)+~P45(f30(f30(f24(x5941),x5942),f17(x5941)))+P45(f30(f30(f24(x5941),f13(x5942,x5943,x5941)),f17(x5941)))+~P45(f30(f30(f24(x5941),f17(x5941)),x5943))
% 2.82/2.90 [628]~P39(x6281)+~P42(x6281)+~P45(f30(f30(f24(x6281),f13(x6283,x6282,x6281)),f17(x6281)))+P45(f30(f30(f24(x6281),x6282),f17(x6281)))+P45(f30(f30(f24(x6281),f17(x6281)),x6282))
% 2.82/2.90 [629]~P39(x6291)+~P42(x6291)+~P45(f30(f30(f24(x6291),f13(x6292,x6293,x6291)),f17(x6291)))+P45(f30(f30(f24(x6291),x6292),f17(x6291)))+P45(f30(f30(f24(x6291),f17(x6291)),x6292))
% 2.82/2.90 [630]~P39(x6301)+~P42(x6301)+~P45(f30(f30(f14(x6301),f13(x6303,x6302,x6301)),f17(x6301)))+P45(f30(f30(f14(x6301),x6302),f17(x6301)))+P45(f30(f30(f14(x6301),f17(x6301)),x6302))
% 2.82/2.90 [631]~P39(x6311)+~P42(x6311)+~P45(f30(f30(f14(x6311),f13(x6312,x6313,x6311)),f17(x6311)))+P45(f30(f30(f14(x6311),x6312),f17(x6311)))+P45(f30(f30(f14(x6311),f17(x6311)),x6312))
% 2.82/2.90 [634]~P39(x6341)+~P42(x6341)+~P45(f30(f30(f24(x6341),f13(x6342,x6343,x6341)),f17(x6341)))+P45(f30(f30(f24(x6341),f17(x6341)),x6342))+P45(f30(f30(f24(x6341),f17(x6341)),x6343))
% 2.82/2.90 [635]~P39(x6351)+~P42(x6351)+~P45(f30(f30(f14(x6351),f13(x6352,x6353,x6351)),f17(x6351)))+P45(f30(f30(f14(x6351),f17(x6351)),x6352))+P45(f30(f30(f14(x6351),f17(x6351)),x6353))
% 2.82/2.90 [518]~P14(x5181)+~P15(x5181)+P45(f30(f30(f24(x5181),x5182),f4(x5183,x5184,x5181)))+~P45(f30(f30(f24(x5181),f17(x5181)),x5183))+~P45(f30(f30(f24(x5181),x5182),x5184))
% 2.82/2.90 [519]~P14(x5191)+~P15(x5191)+P45(f30(f30(f24(x5191),x5192),f4(x5193,x5194,x5191)))+~P45(f30(f30(f24(x5191),f17(x5191)),x5194))+~P45(f30(f30(f24(x5191),x5192),x5193))
% 2.82/2.90 [520]~P14(x5201)+~P15(x5201)+P45(f30(f30(f14(x5201),x5202),f4(x5203,x5204,x5201)))+~P45(f30(f30(f24(x5201),x5202),x5204))+~P45(f30(f30(f14(x5201),f17(x5201)),x5203))
% 2.82/2.90 [521]~P14(x5211)+~P15(x5211)+P45(f30(f30(f14(x5211),x5212),f4(x5213,x5214,x5211)))+~P45(f30(f30(f24(x5211),f17(x5211)),x5213))+~P45(f30(f30(f14(x5211),x5212),x5214))
% 2.82/2.90 [588]~P34(x5884)+E(x5881,x5882)+~E(f20(x5881,f4(x5883,f5(a33),a33),x5884),f20(x5882,f4(x5883,f5(a33),a33),x5884))+~P45(f30(f30(f24(x5884),f17(x5884)),x5882))+~P45(f30(f30(f24(x5884),f17(x5884)),x5881))
% 2.82/2.90 [624]~P39(x6241)+~P42(x6241)+~P45(f30(f30(f24(x6241),x6243),f17(x6241)))+P45(f30(f30(f24(x6241),f13(x6242,x6243,x6241)),f13(x6244,x6243,x6241)))+~P45(f30(f30(f24(x6241),x6244),x6242))
% 2.82/2.90 [636]~P39(x6361)+~P42(x6361)+P45(f30(f30(f24(x6361),f13(x6362,x6363,x6361)),f13(x6364,x6363,x6361)))+~P45(f30(f30(f24(x6361),x6362),x6364))+~P45(f30(f30(f24(x6361),f17(x6361)),x6363))
% 2.82/2.90 [648]~P34(x6481)+~P45(f30(f30(f24(x6481),x6482),f5(x6481)))+P45(f30(f30(f24(x6481),f20(x6482,x6483,x6481)),f20(x6482,x6484,x6481)))+~P45(f30(f30(f24(x6481),f17(x6481)),x6482))+~P45(f30(f30(f24(a33),x6484),x6483))
% 2.82/2.90 [649]~P34(x6491)+~P45(f30(f30(f14(x6491),x6492),f5(x6491)))+P45(f30(f30(f14(x6491),f20(x6492,x6493,x6491)),f20(x6492,x6494,x6491)))+~P45(f30(f30(f14(x6491),f17(x6491)),x6492))+~P45(f30(f30(f14(a33),x6494),x6493))
% 2.82/2.90 [543]E(x5431,x5432)+~P5(x5433,x5434,x5435,x5436)+~E(f30(x5433,x5431),f30(x5433,x5432))+~P45(f30(f30(f25(x5435),x5432),x5434))+~P45(f30(f30(f25(x5435),x5431),x5434))
% 2.82/2.90 [300]~P29(x3002)+~P44(x3002)+~P35(x3002)+~P36(x3002)+~E(f20(x3001,x3003,x3002),f17(x3002))+E(x3001,f17(x3002))
% 2.82/2.90 [544]~P39(x5441)+~P42(x5441)+P45(f30(f30(f14(x5441),x5442),f17(x5441)))+P45(f30(f30(f24(x5441),x5443),f13(x5444,x5442,x5441)))+~P45(f30(f30(f24(x5441),x5443),f17(x5441)))+P45(f30(f30(f14(x5441),f17(x5441)),x5442))
% 2.82/2.90 [545]~P39(x5451)+~P42(x5451)+P45(f30(f30(f14(x5451),x5452),f17(x5451)))+P45(f30(f30(f14(x5451),x5453),f13(x5454,x5452,x5451)))+~P45(f30(f30(f14(x5451),x5453),f17(x5451)))+P45(f30(f30(f14(x5451),f17(x5451)),x5452))
% 2.82/2.90 [564]~P39(x5641)+~P42(x5641)+P45(f30(f30(f24(x5641),x5642),f17(x5641)))+~P45(f30(f30(f24(x5641),x5642),f13(x5644,x5643,x5641)))+P45(f30(f30(f14(x5641),x5643),f17(x5641)))+P45(f30(f30(f14(x5641),f17(x5641)),x5643))
% 2.82/2.90 [565]~P39(x5651)+~P42(x5651)+P45(f30(f30(f14(x5651),x5652),f17(x5651)))+~P45(f30(f30(f14(x5651),x5653),f13(x5654,x5652,x5651)))+P45(f30(f30(f14(x5651),x5653),f17(x5651)))+P45(f30(f30(f14(x5651),f17(x5651)),x5652))
% 2.82/2.90 [603]~P39(x6031)+~P42(x6031)+P45(f30(f30(f14(x6031),x6032),f17(x6031)))+~P45(f30(f30(f24(x6031),f17(x6031)),x6034))+P45(f30(f30(f14(x6031),f17(x6031)),x6032))+P45(f30(f30(f24(x6031),f13(x6033,x6032,x6031)),x6034))
% 2.82/2.90 [604]~P39(x6041)+~P42(x6041)+P45(f30(f30(f14(x6041),x6042),f17(x6041)))+P45(f30(f30(f14(x6041),f17(x6041)),x6042))+~P45(f30(f30(f14(x6041),f17(x6041)),x6044))+P45(f30(f30(f14(x6041),f13(x6043,x6042,x6041)),x6044))
% 2.82/2.90 [640]~P39(x6401)+~P42(x6401)+P45(f30(f30(f14(x6401),x6402),f17(x6401)))+P45(f30(f30(f14(x6401),f17(x6401)),x6402))+~P45(f30(f30(f24(x6401),f13(x6404,x6402,x6401)),x6403))+P45(f30(f30(f24(x6401),f17(x6401)),x6403))
% 2.82/2.90 [641]~P39(x6411)+~P42(x6411)+P45(f30(f30(f14(x6411),x6412),f17(x6411)))+P45(f30(f30(f14(x6411),f17(x6411)),x6412))+~P45(f30(f30(f14(x6411),f13(x6414,x6412,x6411)),x6413))+P45(f30(f30(f14(x6411),f17(x6411)),x6413))
% 2.82/2.90 [659]~P42(x6591)+P45(f30(f30(f24(x6591),f13(x6592,x6593,x6591)),f13(x6594,x6595,x6591)))+~P45(f30(f30(f14(x6591),f17(x6591)),x6595))+~P45(f30(f30(f24(x6591),x6595),x6593))+~P45(f30(f30(f24(x6591),x6592),x6594))+~P45(f30(f30(f24(x6591),f17(x6591)),x6592))
% 2.82/2.90 [660]~P42(x6601)+P45(f30(f30(f14(x6601),f13(x6602,x6603,x6601)),f13(x6604,x6605,x6601)))+~P45(f30(f30(f24(x6601),x6605),x6603))+~P45(f30(f30(f24(x6601),f17(x6601)),x6602))+~P45(f30(f30(f14(x6601),x6602),x6604))+~P45(f30(f30(f14(x6601),f17(x6601)),x6605))
% 2.82/2.90 [661]~P42(x6611)+P45(f30(f30(f14(x6611),f13(x6612,x6613,x6611)),f13(x6614,x6615,x6611)))+~P45(f30(f30(f24(x6611),x6612),x6614))+~P45(f30(f30(f14(x6611),x6615),x6613))+~P45(f30(f30(f14(x6611),f17(x6611)),x6615))+~P45(f30(f30(f14(x6611),f17(x6611)),x6612))
% 2.82/2.90 [693]E(x6931,x6932)+~P11(x6935,x6934,x6933)+~P45(f30(f30(f25(x6933),x6932),x6935))+~P45(f30(f30(f25(x6933),x6931),x6935))+P45(f30(f30(f25(f38(x6933,x6933)),f19(x6931,x6932,x6933,x6933)),x6934))+P45(f30(f30(f25(f38(x6933,x6933)),f19(x6932,x6931,x6933,x6933)),x6934))
% 2.82/2.90 %EqnAxiom
% 2.82/2.90 [1]E(x11,x11)
% 2.82/2.90 [2]E(x22,x21)+~E(x21,x22)
% 2.82/2.90 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.82/2.90 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 2.82/2.90 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 2.82/2.90 [6]~E(x61,x62)+E(f30(x61,x63),f30(x62,x63))
% 2.82/2.90 [7]~E(x71,x72)+E(f30(x73,x71),f30(x73,x72))
% 2.82/2.90 [8]~E(x81,x82)+E(f3(x81,x83,x84),f3(x82,x83,x84))
% 2.82/2.90 [9]~E(x91,x92)+E(f3(x93,x91,x94),f3(x93,x92,x94))
% 2.82/2.90 [10]~E(x101,x102)+E(f3(x103,x104,x101),f3(x103,x104,x102))
% 2.82/2.90 [11]~E(x111,x112)+E(f38(x111,x113),f38(x112,x113))
% 2.82/2.90 [12]~E(x121,x122)+E(f38(x123,x121),f38(x123,x122))
% 2.82/2.90 [13]~E(x131,x132)+E(f22(x131,x133,x134),f22(x132,x133,x134))
% 2.82/2.90 [14]~E(x141,x142)+E(f22(x143,x141,x144),f22(x143,x142,x144))
% 2.82/2.90 [15]~E(x151,x152)+E(f22(x153,x154,x151),f22(x153,x154,x152))
% 2.82/2.90 [16]~E(x161,x162)+E(f24(x161),f24(x162))
% 2.82/2.90 [17]~E(x171,x172)+E(f34(x171,x173),f34(x172,x173))
% 2.82/2.90 [18]~E(x181,x182)+E(f34(x183,x181),f34(x183,x182))
% 2.82/2.90 [19]~E(x191,x192)+E(f4(x191,x193,x194),f4(x192,x193,x194))
% 2.82/2.90 [20]~E(x201,x202)+E(f4(x203,x201,x204),f4(x203,x202,x204))
% 2.82/2.90 [21]~E(x211,x212)+E(f4(x213,x214,x211),f4(x213,x214,x212))
% 2.82/2.90 [22]~E(x221,x222)+E(f14(x221),f14(x222))
% 2.82/2.90 [23]~E(x231,x232)+E(f6(x231,x233,x234,x235),f6(x232,x233,x234,x235))
% 2.82/2.90 [24]~E(x241,x242)+E(f6(x243,x241,x244,x245),f6(x243,x242,x244,x245))
% 2.82/2.90 [25]~E(x251,x252)+E(f6(x253,x254,x251,x255),f6(x253,x254,x252,x255))
% 2.82/2.90 [26]~E(x261,x262)+E(f6(x263,x264,x265,x261),f6(x263,x264,x265,x262))
% 2.82/2.90 [27]~E(x271,x272)+E(f17(x271),f17(x272))
% 2.82/2.90 [28]~E(x281,x282)+E(f5(x281),f5(x282))
% 2.82/2.90 [29]~E(x291,x292)+E(f25(x291),f25(x292))
% 2.82/2.90 [30]~E(x301,x302)+E(f16(x301,x303),f16(x302,x303))
% 2.82/2.90 [31]~E(x311,x312)+E(f16(x313,x311),f16(x313,x312))
% 2.82/2.90 [32]~E(x321,x322)+E(f15(x321),f15(x322))
% 2.82/2.90 [33]~E(x331,x332)+E(f19(x331,x333,x334,x335),f19(x332,x333,x334,x335))
% 2.82/2.90 [34]~E(x341,x342)+E(f19(x343,x341,x344,x345),f19(x343,x342,x344,x345))
% 2.82/2.90 [35]~E(x351,x352)+E(f19(x353,x354,x351,x355),f19(x353,x354,x352,x355))
% 2.82/2.90 [36]~E(x361,x362)+E(f19(x363,x364,x365,x361),f19(x363,x364,x365,x362))
% 2.82/2.90 [37]~E(x371,x372)+E(f13(x371,x373,x374),f13(x372,x373,x374))
% 2.82/2.90 [38]~E(x381,x382)+E(f13(x383,x381,x384),f13(x383,x382,x384))
% 2.82/2.90 [39]~E(x391,x392)+E(f13(x393,x394,x391),f13(x393,x394,x392))
% 2.82/2.90 [40]~E(x401,x402)+E(f9(x401,x403),f9(x402,x403))
% 2.82/2.90 [41]~E(x411,x412)+E(f9(x413,x411),f9(x413,x412))
% 2.82/2.90 [42]~E(x421,x422)+E(f12(x421),f12(x422))
% 2.82/2.90 [43]~E(x431,x432)+E(f20(x431,x433,x434),f20(x432,x433,x434))
% 2.82/2.90 [44]~E(x441,x442)+E(f20(x443,x441,x444),f20(x443,x442,x444))
% 2.82/2.90 [45]~E(x451,x452)+E(f20(x453,x454,x451),f20(x453,x454,x452))
% 2.82/2.90 [46]~E(x461,x462)+E(f27(x461,x463),f27(x462,x463))
% 2.82/2.90 [47]~E(x471,x472)+E(f27(x473,x471),f27(x473,x472))
% 2.82/2.90 [48]~E(x481,x482)+E(f7(x481,x483,x484,x485,x486),f7(x482,x483,x484,x485,x486))
% 2.82/2.90 [49]~E(x491,x492)+E(f7(x493,x491,x494,x495,x496),f7(x493,x492,x494,x495,x496))
% 2.82/2.90 [50]~E(x501,x502)+E(f7(x503,x504,x501,x505,x506),f7(x503,x504,x502,x505,x506))
% 2.82/2.90 [51]~E(x511,x512)+E(f7(x513,x514,x515,x511,x516),f7(x513,x514,x515,x512,x516))
% 2.82/2.90 [52]~E(x521,x522)+E(f7(x523,x524,x525,x526,x521),f7(x523,x524,x525,x526,x522))
% 2.82/2.90 [53]~E(x531,x532)+E(f23(x531,x533,x534,x535),f23(x532,x533,x534,x535))
% 2.82/2.90 [54]~E(x541,x542)+E(f23(x543,x541,x544,x545),f23(x543,x542,x544,x545))
% 2.82/2.90 [55]~E(x551,x552)+E(f23(x553,x554,x551,x555),f23(x553,x554,x552,x555))
% 2.82/2.90 [56]~E(x561,x562)+E(f23(x563,x564,x565,x561),f23(x563,x564,x565,x562))
% 2.82/2.90 [57]~E(x571,x572)+E(f11(x571,x573),f11(x572,x573))
% 2.82/2.90 [58]~E(x581,x582)+E(f11(x583,x581),f11(x583,x582))
% 2.82/2.90 [59]~E(x591,x592)+E(f18(x591),f18(x592))
% 2.82/2.90 [60]~E(x601,x602)+E(f28(x601,x603),f28(x602,x603))
% 2.82/2.90 [61]~E(x611,x612)+E(f28(x613,x611),f28(x613,x612))
% 2.82/2.90 [62]~E(x621,x622)+E(f26(x621,x623,x624,x625),f26(x622,x623,x624,x625))
% 2.82/2.90 [63]~E(x631,x632)+E(f26(x633,x631,x634,x635),f26(x633,x632,x634,x635))
% 2.82/2.90 [64]~E(x641,x642)+E(f26(x643,x644,x641,x645),f26(x643,x644,x642,x645))
% 2.82/2.90 [65]~E(x651,x652)+E(f26(x653,x654,x655,x651),f26(x653,x654,x655,x652))
% 2.82/2.90 [66]~E(x661,x662)+E(f21(x661,x663,x664,x665),f21(x662,x663,x664,x665))
% 2.82/2.90 [67]~E(x671,x672)+E(f21(x673,x671,x674,x675),f21(x673,x672,x674,x675))
% 2.82/2.90 [68]~E(x681,x682)+E(f21(x683,x684,x681,x685),f21(x683,x684,x682,x685))
% 2.82/2.90 [69]~E(x691,x692)+E(f21(x693,x694,x695,x691),f21(x693,x694,x695,x692))
% 2.82/2.90 [70]~E(x701,x702)+E(f10(x701,x703),f10(x702,x703))
% 2.82/2.90 [71]~E(x711,x712)+E(f10(x713,x711),f10(x713,x712))
% 2.82/2.90 [72]~E(x721,x722)+E(f29(x721,x723,x724),f29(x722,x723,x724))
% 2.82/2.90 [73]~E(x731,x732)+E(f29(x733,x731,x734),f29(x733,x732,x734))
% 2.82/2.90 [74]~E(x741,x742)+E(f29(x743,x744,x741),f29(x743,x744,x742))
% 2.82/2.90 [75]~E(x751,x752)+E(f43(x751,x753,x754,x755,x756,x757),f43(x752,x753,x754,x755,x756,x757))
% 2.82/2.90 [76]~E(x761,x762)+E(f43(x763,x761,x764,x765,x766,x767),f43(x763,x762,x764,x765,x766,x767))
% 2.82/2.90 [77]~E(x771,x772)+E(f43(x773,x774,x771,x775,x776,x777),f43(x773,x774,x772,x775,x776,x777))
% 2.82/2.90 [78]~E(x781,x782)+E(f43(x783,x784,x785,x781,x786,x787),f43(x783,x784,x785,x782,x786,x787))
% 2.82/2.90 [79]~E(x791,x792)+E(f43(x793,x794,x795,x796,x791,x797),f43(x793,x794,x795,x796,x792,x797))
% 2.82/2.90 [80]~E(x801,x802)+E(f43(x803,x804,x805,x806,x807,x801),f43(x803,x804,x805,x806,x807,x802))
% 2.82/2.90 [81]~E(x811,x812)+E(f44(x811,x813,x814,x815,x816,x817,x818),f44(x812,x813,x814,x815,x816,x817,x818))
% 2.82/2.90 [82]~E(x821,x822)+E(f44(x823,x821,x824,x825,x826,x827,x828),f44(x823,x822,x824,x825,x826,x827,x828))
% 2.82/2.90 [83]~E(x831,x832)+E(f44(x833,x834,x831,x835,x836,x837,x838),f44(x833,x834,x832,x835,x836,x837,x838))
% 2.82/2.90 [84]~E(x841,x842)+E(f44(x843,x844,x845,x841,x846,x847,x848),f44(x843,x844,x845,x842,x846,x847,x848))
% 2.82/2.90 [85]~E(x851,x852)+E(f44(x853,x854,x855,x856,x851,x857,x858),f44(x853,x854,x855,x856,x852,x857,x858))
% 2.82/2.90 [86]~E(x861,x862)+E(f44(x863,x864,x865,x866,x867,x861,x868),f44(x863,x864,x865,x866,x867,x862,x868))
% 2.82/2.90 [87]~E(x871,x872)+E(f44(x873,x874,x875,x876,x877,x878,x871),f44(x873,x874,x875,x876,x877,x878,x872))
% 2.82/2.90 [88]~P1(x881)+P1(x882)+~E(x881,x882)
% 2.82/2.90 [89]~P45(x891)+P45(x892)+~E(x891,x892)
% 2.82/2.90 [90]~P2(x901)+P2(x902)+~E(x901,x902)
% 2.82/2.90 [91]~P28(x911)+P28(x912)+~E(x911,x912)
% 2.82/2.90 [92]~P29(x921)+P29(x922)+~E(x921,x922)
% 2.82/2.90 [93]~P34(x931)+P34(x932)+~E(x931,x932)
% 2.82/2.90 [94]~P44(x941)+P44(x942)+~E(x941,x942)
% 2.82/2.90 [95]~P35(x951)+P35(x952)+~E(x951,x952)
% 2.82/2.90 [96]~P36(x961)+P36(x962)+~E(x961,x962)
% 2.82/2.90 [97]~P30(x971)+P30(x972)+~E(x971,x972)
% 2.82/2.90 [98]~P31(x981)+P31(x982)+~E(x981,x982)
% 2.82/2.90 [99]~P13(x991)+P13(x992)+~E(x991,x992)
% 2.82/2.90 [100]~P14(x1001)+P14(x1002)+~E(x1001,x1002)
% 2.82/2.90 [101]~P15(x1011)+P15(x1012)+~E(x1011,x1012)
% 2.82/2.90 [102]~P37(x1021)+P37(x1022)+~E(x1021,x1022)
% 2.82/2.90 [103]~P20(x1031)+P20(x1032)+~E(x1031,x1032)
% 2.82/2.90 [104]~P23(x1041)+P23(x1042)+~E(x1041,x1042)
% 2.82/2.90 [105]~P22(x1051)+P22(x1052)+~E(x1051,x1052)
% 2.82/2.90 [106]~P26(x1061)+P26(x1062)+~E(x1061,x1062)
% 2.82/2.90 [107]~P32(x1071)+P32(x1072)+~E(x1071,x1072)
% 2.82/2.90 [108]~P27(x1081)+P27(x1082)+~E(x1081,x1082)
% 2.82/2.90 [109]~P33(x1091)+P33(x1092)+~E(x1091,x1092)
% 2.82/2.90 [110]~P24(x1101)+P24(x1102)+~E(x1101,x1102)
% 2.82/2.90 [111]~P16(x1111)+P16(x1112)+~E(x1111,x1112)
% 2.82/2.90 [112]~P18(x1121)+P18(x1122)+~E(x1121,x1122)
% 2.82/2.90 [113]~P19(x1131)+P19(x1132)+~E(x1131,x1132)
% 2.82/2.90 [114]P3(x1142,x1143,x1144)+~E(x1141,x1142)+~P3(x1141,x1143,x1144)
% 2.82/2.90 [115]P3(x1153,x1152,x1154)+~E(x1151,x1152)+~P3(x1153,x1151,x1154)
% 2.82/2.90 [116]P3(x1163,x1164,x1162)+~E(x1161,x1162)+~P3(x1163,x1164,x1161)
% 2.82/2.90 [117]P4(x1172,x1173,x1174)+~E(x1171,x1172)+~P4(x1171,x1173,x1174)
% 2.82/2.90 [118]P4(x1183,x1182,x1184)+~E(x1181,x1182)+~P4(x1183,x1181,x1184)
% 2.82/2.90 [119]P4(x1193,x1194,x1192)+~E(x1191,x1192)+~P4(x1193,x1194,x1191)
% 2.82/2.90 [120]~P46(x1201)+P46(x1202)+~E(x1201,x1202)
% 2.82/2.90 [121]~P39(x1211)+P39(x1212)+~E(x1211,x1212)
% 2.82/2.90 [122]P11(x1222,x1223,x1224)+~E(x1221,x1222)+~P11(x1221,x1223,x1224)
% 2.82/2.90 [123]P11(x1233,x1232,x1234)+~E(x1231,x1232)+~P11(x1233,x1231,x1234)
% 2.82/2.90 [124]P11(x1243,x1244,x1242)+~E(x1241,x1242)+~P11(x1243,x1244,x1241)
% 2.82/2.90 [125]P7(x1252,x1253,x1254)+~E(x1251,x1252)+~P7(x1251,x1253,x1254)
% 2.82/2.90 [126]P7(x1263,x1262,x1264)+~E(x1261,x1262)+~P7(x1263,x1261,x1264)
% 2.82/2.90 [127]P7(x1273,x1274,x1272)+~E(x1271,x1272)+~P7(x1273,x1274,x1271)
% 2.82/2.90 [128]~P21(x1281)+P21(x1282)+~E(x1281,x1282)
% 2.82/2.90 [129]P5(x1292,x1293,x1294,x1295)+~E(x1291,x1292)+~P5(x1291,x1293,x1294,x1295)
% 2.82/2.90 [130]P5(x1303,x1302,x1304,x1305)+~E(x1301,x1302)+~P5(x1303,x1301,x1304,x1305)
% 2.82/2.90 [131]P5(x1313,x1314,x1312,x1315)+~E(x1311,x1312)+~P5(x1313,x1314,x1311,x1315)
% 2.82/2.90 [132]P5(x1323,x1324,x1325,x1322)+~E(x1321,x1322)+~P5(x1323,x1324,x1325,x1321)
% 2.82/2.90 [133]~P42(x1331)+P42(x1332)+~E(x1331,x1332)
% 2.82/2.90 [134]P6(x1342,x1343,x1344)+~E(x1341,x1342)+~P6(x1341,x1343,x1344)
% 2.82/2.90 [135]P6(x1353,x1352,x1354)+~E(x1351,x1352)+~P6(x1353,x1351,x1354)
% 2.82/2.90 [136]P6(x1363,x1364,x1362)+~E(x1361,x1362)+~P6(x1363,x1364,x1361)
% 2.82/2.90 [137]~P17(x1371)+P17(x1372)+~E(x1371,x1372)
% 2.82/2.90 [138]~P38(x1381)+P38(x1382)+~E(x1381,x1382)
% 2.82/2.90 [139]P10(x1392,x1393,x1394)+~E(x1391,x1392)+~P10(x1391,x1393,x1394)
% 2.82/2.90 [140]P10(x1403,x1402,x1404)+~E(x1401,x1402)+~P10(x1403,x1401,x1404)
% 2.82/2.90 [141]P10(x1413,x1414,x1412)+~E(x1411,x1412)+~P10(x1413,x1414,x1411)
% 2.82/2.90 [142]~P25(x1421)+P25(x1422)+~E(x1421,x1422)
% 2.82/2.90 [143]~P12(x1431)+P12(x1432)+~E(x1431,x1432)
% 2.82/2.90 [144]~P40(x1441)+P40(x1442)+~E(x1441,x1442)
% 2.82/2.90 [145]P9(x1452,x1453,x1454)+~E(x1451,x1452)+~P9(x1451,x1453,x1454)
% 2.82/2.91 [146]P9(x1463,x1462,x1464)+~E(x1461,x1462)+~P9(x1463,x1461,x1464)
% 2.82/2.91 [147]P9(x1473,x1474,x1472)+~E(x1471,x1472)+~P9(x1473,x1474,x1471)
% 2.82/2.91 [148]~P43(x1481)+P43(x1482)+~E(x1481,x1482)
% 2.82/2.91 [149]P8(x1492,x1493,x1494)+~E(x1491,x1492)+~P8(x1491,x1493,x1494)
% 2.82/2.91 [150]P8(x1503,x1502,x1504)+~E(x1501,x1502)+~P8(x1503,x1501,x1504)
% 2.82/2.91 [151]P8(x1513,x1514,x1512)+~E(x1511,x1512)+~P8(x1513,x1514,x1511)
% 2.82/2.91 [152]~P41(x1521)+P41(x1522)+~E(x1521,x1522)
% 2.82/2.91
% 2.82/2.91 %-------------------------------------------
% 2.82/2.91 cnf(725,plain,
% 2.82/2.91 (P8(x7251,x7252,x7252)),
% 2.82/2.91 inference(scs_inference,[],[192,224,184,226,2,282,337,335,334,309,307,303])).
% 2.82/2.91 cnf(728,plain,
% 2.82/2.91 (~P45(f30(f30(f24(a33),f4(x7281,f5(a33),a33)),x7281))),
% 2.82/2.91 inference(rename_variables,[],[233])).
% 2.82/2.91 cnf(731,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x7311),f4(f4(x7312,x7311,a33),f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[209])).
% 2.82/2.91 cnf(735,plain,
% 2.82/2.91 (~P45(f30(f30(f24(a33),f4(x7351,f4(x7352,f5(a33),a33),a33)),f4(x7351,x7352,a33)))),
% 2.82/2.91 inference(scs_inference,[],[192,224,184,226,231,233,728,209,2,282,337,335,334,309,307,303,299,643,639,638])).
% 2.82/2.91 cnf(737,plain,
% 2.82/2.91 (~P45(f30(f30(f24(a33),f4(x7371,f4(x7372,f5(a33),a33),a33)),x7372))),
% 2.82/2.91 inference(scs_inference,[],[192,224,184,226,196,231,233,728,209,2,282,337,335,334,309,307,303,299,643,639,638,600])).
% 2.82/2.91 cnf(738,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x7381),f4(x7382,x7381,a33)))),
% 2.82/2.91 inference(rename_variables,[],[196])).
% 2.82/2.91 cnf(741,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x7411),f4(x7411,x7412,a33)))),
% 2.82/2.91 inference(rename_variables,[],[198])).
% 2.82/2.91 cnf(744,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x7441),f4(f4(x7442,x7441,a33),f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[209])).
% 2.82/2.91 cnf(747,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x7471),f4(x7472,x7471,a33)))),
% 2.82/2.91 inference(rename_variables,[],[196])).
% 2.82/2.91 cnf(750,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x7501),f4(x7502,x7501,a33)))),
% 2.82/2.91 inference(rename_variables,[],[196])).
% 2.82/2.91 cnf(764,plain,
% 2.82/2.91 (~P45(f30(f30(f24(a33),f4(f4(x7641,f5(a33),a33),x7642,a33)),x7641))),
% 2.82/2.91 inference(scs_inference,[],[192,218,224,184,226,196,738,747,750,198,231,232,233,728,209,731,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480])).
% 2.82/2.91 cnf(765,plain,
% 2.82/2.91 (~P45(f30(f30(f14(a33),f4(x7651,x7652,a33)),x7651))),
% 2.82/2.91 inference(rename_variables,[],[232])).
% 2.82/2.91 cnf(773,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x7731),f4(x7732,f4(x7733,f4(x7731,x7734,a33),a33),a33)))),
% 2.82/2.91 inference(scs_inference,[],[192,218,224,184,226,196,738,747,750,198,231,232,233,728,209,731,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472])).
% 2.82/2.91 cnf(786,plain,
% 2.82/2.91 (~P45(f30(f30(f14(a33),x7861),x7861))),
% 2.82/2.91 inference(rename_variables,[],[226])).
% 2.82/2.91 cnf(791,plain,
% 2.82/2.91 (~P45(f30(f30(f14(a33),x7911),x7911))),
% 2.82/2.91 inference(rename_variables,[],[226])).
% 2.82/2.91 cnf(796,plain,
% 2.82/2.91 (~P45(f30(f30(f25(x7961),x7962),f15(f34(x7961,a1))))),
% 2.82/2.91 inference(rename_variables,[],[230])).
% 2.82/2.91 cnf(798,plain,
% 2.82/2.91 (P45(f30(f30(f25(x7981),x7982),f26(x7983,f18(f34(x7984,a1)),x7981,x7984)))),
% 2.82/2.91 inference(scs_inference,[],[192,218,220,224,184,226,786,196,738,747,750,198,231,232,193,230,233,728,234,209,731,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652])).
% 2.82/2.91 cnf(799,plain,
% 2.82/2.91 (P45(f30(f30(f25(x7991),x7992),f18(f34(x7991,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(814,plain,
% 2.82/2.91 (E(f3(f2(x8141,x8142),x8142,x8142),x8141)),
% 2.82/2.91 inference(rename_variables,[],[181])).
% 2.82/2.91 cnf(817,plain,
% 2.82/2.91 (~E(x8171,f4(x8171,f5(a33),a33))),
% 2.82/2.91 inference(scs_inference,[],[221,179,192,218,220,180,195,186,181,224,184,226,786,196,738,747,750,198,231,232,193,230,796,233,728,234,209,731,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114])).
% 2.82/2.91 cnf(819,plain,
% 2.82/2.91 (E(f3(f2(x8191,x8192),x8192,x8192),x8191)),
% 2.82/2.91 inference(rename_variables,[],[181])).
% 2.82/2.91 cnf(821,plain,
% 2.82/2.91 (E(f3(f2(x8211,x8212),x8212,x8212),x8211)),
% 2.82/2.91 inference(rename_variables,[],[181])).
% 2.82/2.91 cnf(823,plain,
% 2.82/2.91 (~E(f4(x8231,f5(a33),a33),x8231)),
% 2.82/2.91 inference(rename_variables,[],[224])).
% 2.82/2.91 cnf(827,plain,
% 2.82/2.91 (~P45(f30(f30(f14(a33),x8271),x8271))),
% 2.82/2.91 inference(rename_variables,[],[226])).
% 2.82/2.91 cnf(830,plain,
% 2.82/2.91 (P45(f30(f30(f25(x8301),x8302),f18(f34(x8301,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(831,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x8311),x8311))),
% 2.82/2.91 inference(rename_variables,[],[184])).
% 2.82/2.91 cnf(834,plain,
% 2.82/2.91 (P45(f30(f30(f25(x8341),x8342),f18(f34(x8341,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(835,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x8351),x8351))),
% 2.82/2.91 inference(rename_variables,[],[184])).
% 2.82/2.91 cnf(838,plain,
% 2.82/2.91 (~P45(f30(f30(f24(a33),f4(x8381,f5(a33),a33)),x8381))),
% 2.82/2.91 inference(rename_variables,[],[233])).
% 2.82/2.91 cnf(839,plain,
% 2.82/2.91 (P45(f30(f30(f25(x8391),x8392),f18(f34(x8391,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(842,plain,
% 2.82/2.91 (~P45(f30(f30(f14(a33),x8421),x8421))),
% 2.82/2.91 inference(rename_variables,[],[226])).
% 2.82/2.91 cnf(854,plain,
% 2.82/2.91 (P45(f30(f30(f25(x8541),x8542),f18(f34(x8541,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(858,plain,
% 2.82/2.91 (P45(f30(f30(f25(x8581),x8582),f18(f34(x8581,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(876,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x8761),f4(f4(x8761,f5(a33),a33),x8762,a33)))),
% 2.82/2.91 inference(scs_inference,[],[221,179,163,171,172,194,192,218,220,180,195,186,181,814,819,224,823,184,831,835,226,786,791,827,842,196,738,747,750,198,741,231,232,193,799,830,834,839,854,230,796,233,728,234,209,731,744,211,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338])).
% 2.82/2.91 cnf(879,plain,
% 2.82/2.91 (~P45(f30(f30(f25(x8791),x8792),f15(f34(x8791,a1))))),
% 2.82/2.91 inference(rename_variables,[],[230])).
% 2.82/2.91 cnf(882,plain,
% 2.82/2.91 (~P45(f30(f30(f25(x8821),x8822),f15(f34(x8821,a1))))),
% 2.82/2.91 inference(rename_variables,[],[230])).
% 2.82/2.91 cnf(909,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x9091),f4(x9091,f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[202])).
% 2.82/2.91 cnf(912,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x9121),x9121))),
% 2.82/2.91 inference(rename_variables,[],[184])).
% 2.82/2.91 cnf(915,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x9151),x9151))),
% 2.82/2.91 inference(rename_variables,[],[184])).
% 2.82/2.91 cnf(918,plain,
% 2.82/2.91 (~P45(f30(f30(f25(x9181),x9182),f15(f34(x9181,a1))))),
% 2.82/2.91 inference(rename_variables,[],[230])).
% 2.82/2.91 cnf(921,plain,
% 2.82/2.91 (P45(f30(f30(f25(x9211),x9212),f18(f34(x9211,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(924,plain,
% 2.82/2.91 (~P45(f30(f30(f25(x9241),x9242),f15(f34(x9241,a1))))),
% 2.82/2.91 inference(rename_variables,[],[230])).
% 2.82/2.91 cnf(927,plain,
% 2.82/2.91 (P45(f30(f30(f25(x9271),x9272),f18(f34(x9271,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(930,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x9301),x9301))),
% 2.82/2.91 inference(rename_variables,[],[184])).
% 2.82/2.91 cnf(933,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x9331),x9331))),
% 2.82/2.91 inference(rename_variables,[],[184])).
% 2.82/2.91 cnf(936,plain,
% 2.82/2.91 (~P45(f30(f30(f25(x9361),x9362),f15(f34(x9361,a1))))),
% 2.82/2.91 inference(rename_variables,[],[230])).
% 2.82/2.91 cnf(939,plain,
% 2.82/2.91 (P45(f30(f30(f25(x9391),x9392),f18(f34(x9391,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(942,plain,
% 2.82/2.91 (P45(f30(f30(f25(x9421),x9422),f18(f34(x9421,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(945,plain,
% 2.82/2.91 (P45(f30(f30(f25(x9451),x9452),f18(f34(x9451,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(946,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x9461),x9461))),
% 2.82/2.91 inference(rename_variables,[],[184])).
% 2.82/2.91 cnf(948,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),f44(a37,a39,a40,a41,a42,a36,f43(a37,a39,a40,a41,a42,a36))),f43(a37,a39,a40,a41,a42,a36)))),
% 2.82/2.91 inference(scs_inference,[],[221,179,158,163,164,165,171,172,173,175,194,192,218,220,180,195,186,181,814,819,224,823,184,831,835,912,915,930,933,226,786,791,827,842,196,738,747,750,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,233,728,838,234,209,731,744,211,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709])).
% 2.82/2.91 cnf(950,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),f30(a35,f43(a37,a39,a40,a41,a42,a36))),f43(a37,a39,a40,a41,a42,a36)))),
% 2.82/2.91 inference(scs_inference,[],[221,179,158,163,164,165,171,172,173,175,194,192,218,220,180,195,186,181,814,819,224,823,184,831,835,912,915,930,933,226,786,791,827,842,196,738,747,750,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,233,728,838,234,209,731,744,211,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708])).
% 2.82/2.91 cnf(952,plain,
% 2.82/2.91 (~E(f20(f4(f5(a33),f5(a33),a33),f4(x9521,f5(a33),a33),a33),f20(f4(f5(a33),f5(a33),a33),x9521,a33))),
% 2.82/2.91 inference(scs_inference,[],[221,179,158,163,164,165,171,172,173,175,194,192,218,220,180,195,186,181,814,819,224,823,184,831,835,912,915,930,933,226,786,791,827,842,196,738,747,750,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,233,728,838,234,209,731,744,211,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435])).
% 2.82/2.91 cnf(953,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x9531),f4(x9531,f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[202])).
% 2.82/2.91 cnf(956,plain,
% 2.82/2.91 (~P45(f30(f30(f14(a33),f4(x9561,x9562,a33)),x9562))),
% 2.82/2.91 inference(rename_variables,[],[231])).
% 2.82/2.91 cnf(957,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x9571),f4(x9571,f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[202])).
% 2.82/2.91 cnf(959,plain,
% 2.82/2.91 (~P45(f30(f30(f24(a33),f20(f4(f5(a33),f5(a33),a33),f4(x9591,f5(a33),a33),a33)),f20(f4(f5(a33),f5(a33),a33),x9591,a33)))),
% 2.82/2.91 inference(scs_inference,[],[221,179,158,163,164,165,171,172,173,175,194,192,218,220,180,195,186,181,814,819,224,823,184,831,835,912,915,930,933,226,786,791,827,842,196,738,747,750,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,233,728,838,234,209,731,744,211,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655])).
% 2.82/2.91 cnf(960,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x9601),f4(x9601,f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[202])).
% 2.82/2.91 cnf(963,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x9631),f4(x9631,f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[202])).
% 2.82/2.91 cnf(965,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),f20(f4(f5(a33),f5(a33),a33),x9651,a33)),f20(f4(f5(a33),f5(a33),a33),f4(x9652,x9651,a33),a33)))),
% 2.82/2.91 inference(scs_inference,[],[221,179,158,163,164,165,171,172,173,175,194,192,218,220,180,195,186,181,814,819,224,823,184,831,835,912,915,930,933,226,786,791,827,842,196,738,747,750,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,960,963,233,728,838,234,209,731,744,211,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619])).
% 2.82/2.91 cnf(966,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x9661),f4(x9661,f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[202])).
% 2.82/2.91 cnf(969,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x9691),x9691))),
% 2.82/2.91 inference(rename_variables,[],[184])).
% 2.82/2.91 cnf(972,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x9721),f4(f4(x9722,x9721,a33),f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[209])).
% 2.82/2.91 cnf(975,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x9751),f4(x9751,f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[202])).
% 2.82/2.91 cnf(977,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),f43(a37,a39,a40,a41,a42,a36)),f4(x9771,f4(f11(f18(f34(a31,a1)),a31),x9772,a33),a33)))),
% 2.82/2.91 inference(scs_inference,[],[221,179,158,163,164,165,171,172,173,175,194,192,218,220,180,195,186,181,814,819,224,823,184,831,835,912,915,930,933,946,226,786,791,827,842,196,738,747,750,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,960,963,966,233,728,838,234,209,731,744,211,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468])).
% 2.82/2.91 cnf(980,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x9801),f4(f4(x9801,x9802,a33),f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[211])).
% 2.82/2.91 cnf(983,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x9831),f4(x9831,f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[202])).
% 2.82/2.91 cnf(985,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),f43(a37,a39,a40,a41,a42,a36)),f4(x9851,f4(x9852,f11(f18(f34(a31,a1)),a31),a33),a33)))),
% 2.82/2.91 inference(scs_inference,[],[221,179,158,163,164,165,171,172,173,175,194,192,218,220,180,195,186,181,814,819,224,823,184,831,835,912,915,930,933,946,226,786,791,827,842,196,738,747,750,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,960,963,966,975,233,728,838,234,209,731,744,211,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465])).
% 2.82/2.91 cnf(995,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x9951),f4(x9952,x9951,a33)))),
% 2.82/2.91 inference(rename_variables,[],[196])).
% 2.82/2.91 cnf(1002,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x10021),f4(x10022,x10021,a33)))),
% 2.82/2.91 inference(rename_variables,[],[196])).
% 2.82/2.91 cnf(1003,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x10031),x10031))),
% 2.82/2.91 inference(rename_variables,[],[184])).
% 2.82/2.91 cnf(1005,plain,
% 2.82/2.91 (~P45(f30(f30(f14(a33),x10051),f17(a33)))),
% 2.82/2.91 inference(scs_inference,[],[221,179,158,163,164,165,171,172,173,175,194,192,218,220,180,195,186,181,814,819,224,823,184,831,835,912,915,930,933,946,969,1003,226,786,791,827,842,196,738,747,750,995,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,960,963,966,975,983,233,728,838,234,209,731,744,972,211,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582])).
% 2.82/2.91 cnf(1007,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x10071),x10071))),
% 2.82/2.91 inference(rename_variables,[],[184])).
% 2.82/2.91 cnf(1012,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),f17(a33)),f4(f4(f4(f17(a33),f5(a33),a33),x10121,a33),f4(f4(f17(a33),f5(a33),a33),x10121,a33),a33)))),
% 2.82/2.91 inference(scs_inference,[],[221,179,158,163,164,165,171,172,173,175,194,192,218,220,180,195,186,181,814,819,224,823,184,831,835,912,915,930,933,946,969,1003,226,786,791,827,842,196,738,747,750,995,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,960,963,966,975,983,233,728,838,234,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532])).
% 2.82/2.91 cnf(1015,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x10151),f4(x10151,f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[202])).
% 2.82/2.91 cnf(1023,plain,
% 2.82/2.91 (~E(f4(x10231,f5(a33),a33),x10231)),
% 2.82/2.91 inference(rename_variables,[],[224])).
% 2.82/2.91 cnf(1025,plain,
% 2.82/2.91 (~E(f4(f4(f4(f17(a33),f5(a33),a33),f4(f17(a33),f5(a33),a33),a33),f4(f4(f17(a33),f5(a33),a33),f4(f17(a33),f5(a33),a33),a33),a33),f17(a33))),
% 2.82/2.91 inference(scs_inference,[],[221,179,158,163,164,165,166,171,172,173,175,194,192,218,220,180,195,186,181,814,819,224,823,184,831,835,912,915,930,933,946,969,1003,1007,226,786,791,827,842,196,738,747,750,995,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,960,963,966,975,983,233,728,838,234,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532,520,519,518,488,487])).
% 2.82/2.91 cnf(1027,plain,
% 2.82/2.91 (~E(f20(f4(f17(a33),f5(a33),a33),x10271,a33),f17(a33))),
% 2.82/2.91 inference(scs_inference,[],[221,179,157,158,159,160,161,163,164,165,166,171,172,173,175,194,192,218,220,180,195,186,181,814,819,224,823,1023,184,831,835,912,915,930,933,946,969,1003,1007,226,786,791,827,842,196,738,747,750,995,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,960,963,966,975,983,233,728,838,234,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532,520,519,518,488,487,300])).
% 2.82/2.91 cnf(1028,plain,
% 2.82/2.91 (~E(f4(x10281,f5(a33),a33),x10281)),
% 2.82/2.91 inference(rename_variables,[],[224])).
% 2.82/2.91 cnf(1032,plain,
% 2.82/2.91 (P45(f30(f30(f24(a1),x10321),x10321))),
% 2.82/2.91 inference(scs_inference,[],[221,179,157,158,159,160,161,163,164,165,166,170,171,172,173,175,194,192,218,220,180,195,186,181,814,819,224,823,1023,184,831,835,912,915,930,933,946,969,1003,1007,226,786,791,827,842,196,738,747,750,995,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,960,963,966,975,983,233,728,838,234,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532,520,519,518,488,487,300,315,292])).
% 2.82/2.91 cnf(1040,plain,
% 2.82/2.91 (P30(f34(x10401,a1))),
% 2.82/2.91 inference(scs_inference,[],[221,179,157,158,159,160,161,162,163,164,165,166,169,170,171,172,173,174,175,194,192,218,220,180,195,186,181,814,819,224,823,1023,184,831,835,912,915,930,933,946,969,1003,1007,226,786,791,827,842,196,738,747,750,995,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,960,963,966,975,983,233,728,838,234,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532,520,519,518,488,487,300,315,292,261,250,249,248])).
% 2.82/2.91 cnf(1131,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x11311),x11311))),
% 2.82/2.91 inference(rename_variables,[],[184])).
% 2.82/2.91 cnf(1145,plain,
% 2.82/2.91 (P45(f30(f30(f24(a1),f15(a1)),x11451))),
% 2.82/2.91 inference(scs_inference,[],[221,179,153,155,157,158,159,160,161,162,163,164,165,166,169,170,171,172,173,174,175,194,192,218,220,180,195,186,181,814,819,224,823,1023,1028,184,831,835,912,915,930,933,946,969,1003,1007,226,786,791,827,842,196,738,747,750,995,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,960,963,966,975,983,233,728,838,234,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532,520,519,518,488,487,300,315,292,261,250,249,248,247,246,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,707,676,663,547,546,312,311,301])).
% 2.82/2.91 cnf(1159,plain,
% 2.82/2.91 (P45(f30(f30(f25(f38(a32,a32)),f19(f4(x11591,f5(a33),a33),x11591,a32,a32)),f10(x11592,x11591)))),
% 2.82/2.91 inference(scs_inference,[],[221,179,153,155,157,158,159,160,161,162,163,164,165,166,168,169,170,171,172,173,174,175,194,192,218,220,180,195,186,181,814,819,224,823,1023,1028,184,831,835,912,915,930,933,946,969,1003,1007,226,786,791,827,842,196,738,747,750,995,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,960,963,966,975,983,233,728,838,234,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532,520,519,518,488,487,300,315,292,261,250,249,248,247,246,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,707,676,663,547,546,312,311,301,298,274,269,264,257,239,668])).
% 2.82/2.91 cnf(1183,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),f17(a33)),f4(f5(a33),f5(a33),a33)))),
% 2.82/2.91 inference(scs_inference,[],[221,179,153,155,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,194,192,218,220,180,195,186,181,814,819,224,823,1023,1028,184,831,835,912,915,930,933,946,969,1003,1007,226,786,791,827,842,196,738,747,750,995,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,960,963,966,975,983,233,728,838,234,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532,520,519,518,488,487,300,315,292,261,250,249,248,247,246,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,707,676,663,547,546,312,311,301,298,274,269,264,257,239,668,667,349,305,304,273,244,243,642,516,509,398,438])).
% 2.82/2.91 cnf(1185,plain,
% 2.82/2.91 (P7(f6(f24(a1),a1,a1,a1),f6(f14(a1),a1,a1,a1),a1)),
% 2.82/2.91 inference(scs_inference,[],[221,179,153,155,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,194,192,218,220,180,195,186,181,814,819,224,823,1023,1028,184,831,835,912,915,930,933,946,969,1003,1007,226,786,791,827,842,196,738,747,750,995,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,960,963,966,975,983,233,728,838,234,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532,520,519,518,488,487,300,315,292,261,250,249,248,247,246,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,707,676,663,547,546,312,311,301,298,274,269,264,257,239,668,667,349,305,304,273,244,243,642,516,509,398,438,626])).
% 2.82/2.91 cnf(1187,plain,
% 2.82/2.91 (P10(f6(f24(a33),a33,a33,a1),f6(f14(a33),a33,a33,a1),a33)),
% 2.82/2.91 inference(scs_inference,[],[221,179,153,155,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,194,192,218,220,180,195,186,181,814,819,224,823,1023,1028,184,831,835,912,915,930,933,946,969,1003,1007,226,786,791,827,842,196,738,747,750,995,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,960,963,966,975,983,233,728,838,234,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532,520,519,518,488,487,300,315,292,261,250,249,248,247,246,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,707,676,663,547,546,312,311,301,298,274,269,264,257,239,668,667,349,305,304,273,244,243,642,516,509,398,438,626,610])).
% 2.82/2.91 cnf(1191,plain,
% 2.82/2.91 (P9(f6(f24(a1),a1,a1,a1),f6(f14(a1),a1,a1,a1),a1)),
% 2.82/2.91 inference(scs_inference,[],[221,179,153,155,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,194,192,218,220,180,195,186,181,814,819,224,823,1023,1028,184,831,835,912,915,930,933,946,969,1003,1007,226,786,791,827,842,196,738,747,750,995,198,741,231,232,765,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,202,909,953,957,960,963,966,975,983,233,728,838,234,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532,520,519,518,488,487,300,315,292,261,250,249,248,247,246,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,707,676,663,547,546,312,311,301,298,274,269,264,257,239,668,667,349,305,304,273,244,243,642,516,509,398,438,626,610,609,608])).
% 2.82/2.91 cnf(1218,plain,
% 2.82/2.91 (~E(a33,x12181)+~P45(f30(f30(f24(a33),f4(f4(f5(a33),f5(a33),a33),x12182,a33)),f17(a33)))),
% 2.82/2.91 inference(scs_inference,[],[221,179,153,155,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,178,194,192,218,220,180,195,186,181,814,819,821,182,224,823,1023,1028,184,831,835,912,915,930,933,946,969,1003,1007,226,786,791,827,842,217,187,196,738,747,750,995,198,741,231,232,765,207,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,936,202,909,953,957,960,963,966,975,983,233,728,838,234,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532,520,519,518,488,487,300,315,292,261,250,249,248,247,246,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,707,676,663,547,546,312,311,301,298,274,269,264,257,239,668,667,349,305,304,273,244,243,642,516,509,398,438,626,610,609,608,492,502,425,149,146,145,140,139,136,135,134,126,125,118,115,113,322,321,259,437])).
% 2.82/2.91 cnf(1226,plain,
% 2.82/2.91 (~E(a33,x12261)+~P45(f30(f30(f14(a33),f5(a33)),f4(f17(a33),f5(a33),a33)))),
% 2.82/2.91 inference(scs_inference,[],[221,179,153,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,178,194,192,218,220,180,195,186,181,814,819,821,182,224,823,1023,1028,184,831,835,912,915,930,933,946,969,1003,1007,226,786,791,827,842,217,187,196,738,747,750,995,198,741,231,232,765,207,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,936,202,909,953,957,960,963,966,975,983,233,728,838,234,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532,520,519,518,488,487,300,315,292,261,250,249,248,247,246,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,707,676,663,547,546,312,311,301,298,274,269,264,257,239,668,667,349,305,304,273,244,243,642,516,509,398,438,626,610,609,608,492,502,425,149,146,145,140,139,136,135,134,126,125,118,115,113,322,321,259,437,324,511,508,506])).
% 2.82/2.91 cnf(1228,plain,
% 2.82/2.91 (~E(a33,x12281)+P45(f30(f30(f24(a33),f43(a37,a39,a40,a41,a42,a36)),f11(f18(f34(a31,a1)),a31)))),
% 2.82/2.91 inference(scs_inference,[],[221,179,153,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,178,194,192,218,220,180,195,186,181,814,819,821,182,224,823,1023,1028,184,831,835,912,915,930,933,946,969,1003,1007,226,786,791,827,842,217,187,196,738,747,750,995,198,741,231,232,765,207,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,936,202,909,953,957,960,963,966,975,983,233,728,838,234,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532,520,519,518,488,487,300,315,292,261,250,249,248,247,246,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,707,676,663,547,546,312,311,301,298,274,269,264,257,239,668,667,349,305,304,273,244,243,642,516,509,398,438,626,610,609,608,492,502,425,149,146,145,140,139,136,135,134,126,125,118,115,113,322,321,259,437,324,511,508,506,370])).
% 2.82/2.91 cnf(1234,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x12341),f4(x12341,f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[202])).
% 2.82/2.91 cnf(1239,plain,
% 2.82/2.91 (~P45(f30(f30(f25(f38(a32,a32)),f19(x12391,x12392,a32,a32)),f9(x12393,x12392)))),
% 2.82/2.91 inference(rename_variables,[],[234])).
% 2.82/2.91 cnf(1242,plain,
% 2.82/2.91 (~P45(f30(f30(f25(f38(a32,a32)),f19(x12421,x12422,a32,a32)),f9(x12423,x12422)))),
% 2.82/2.91 inference(rename_variables,[],[234])).
% 2.82/2.91 cnf(1246,plain,
% 2.82/2.91 (~E(a33,x12461)+~P45(f30(f30(f25(f38(a32,a32)),f19(a42,a41,a32,a32)),f30(a37,f30(f6(f30(f6(f7(f12(f34(f38(a32,a32),a1)),f30(f6(f7(f14(a33),a36,a33,f34(a33,a1),a31),a31,a33,a1),f44(a37,a39,a40,a41,a42,a36,f43(a37,a39,a40,a41,a42,a36))),a1,f34(f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a31),a31,f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a39),a31,f34(f38(a32,a32),a1),f34(f38(a32,a32),a1)),a40))))),
% 2.82/2.91 inference(scs_inference,[],[221,179,153,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,178,194,192,218,220,180,195,186,181,814,819,821,182,224,823,1023,1028,184,831,835,912,915,930,933,946,969,1003,1007,226,786,791,827,842,217,187,196,738,747,750,995,1002,198,741,231,232,765,207,193,799,830,834,839,854,858,921,927,939,942,230,796,879,882,918,924,936,202,909,953,957,960,963,966,975,983,1015,233,728,838,234,1239,1242,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532,520,519,518,488,487,300,315,292,261,250,249,248,247,246,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,707,676,663,547,546,312,311,301,298,274,269,264,257,239,668,667,349,305,304,273,244,243,642,516,509,398,438,626,610,609,608,492,502,425,149,146,145,140,139,136,135,134,126,125,118,115,113,322,321,259,437,324,511,508,506,370,357,601,706,705,704,703,711])).
% 2.82/2.91 cnf(1260,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x12601),x12601))),
% 2.82/2.91 inference(rename_variables,[],[184])).
% 2.82/2.91 cnf(1264,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x12641),x12641))),
% 2.82/2.91 inference(rename_variables,[],[184])).
% 2.82/2.91 cnf(1266,plain,
% 2.82/2.91 (~E(a33,x12661)+P45(f30(f30(f24(a33),f4(f17(a33),f17(a33),a33)),f17(a33)))),
% 2.82/2.91 inference(scs_inference,[],[221,179,153,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,178,194,192,218,220,180,195,186,181,814,819,821,182,224,823,1023,1028,184,831,835,912,915,930,933,946,969,1003,1007,1131,1260,1264,226,786,791,827,842,217,187,196,738,747,750,995,1002,198,741,231,956,232,765,207,193,799,830,834,839,854,858,921,927,939,942,945,230,796,879,882,918,924,936,202,909,953,957,960,963,966,975,983,1015,1234,233,728,838,234,1239,1242,209,731,744,972,211,980,2,282,337,335,334,309,307,303,299,643,639,638,600,586,568,567,566,563,562,561,560,510,503,480,478,476,474,472,440,354,330,325,306,662,637,688,694,666,652,679,687,685,669,151,150,131,124,120,119,117,114,109,89,3,489,559,415,412,380,367,360,606,605,442,414,411,406,404,402,401,399,371,362,341,338,701,700,647,646,645,644,579,578,577,576,575,574,573,572,501,499,498,683,682,681,680,550,389,671,692,678,702,709,708,435,657,655,621,619,618,470,469,468,467,466,465,436,517,616,615,614,613,632,582,536,532,520,519,518,488,487,300,315,292,261,250,249,248,247,246,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,707,676,663,547,546,312,311,301,298,274,269,264,257,239,668,667,349,305,304,273,244,243,642,516,509,398,438,626,610,609,608,492,502,425,149,146,145,140,139,136,135,134,126,125,118,115,113,322,321,259,437,324,511,508,506,370,357,601,706,705,704,703,711,710,453,464,463,675,658,580])).
% 2.82/2.91 cnf(1310,plain,
% 2.82/2.91 (~P45(f30(f30(f24(a33),f4(f4(f5(a33),f5(a33),a33),x13101,a33)),f17(a33)))),
% 2.82/2.91 inference(equality_inference,[],[1218])).
% 2.82/2.91 cnf(1314,plain,
% 2.82/2.91 (~P45(f30(f30(f14(a33),f5(a33)),f4(f17(a33),f5(a33),a33)))),
% 2.82/2.91 inference(equality_inference,[],[1226])).
% 2.82/2.91 cnf(1315,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),f43(a37,a39,a40,a41,a42,a36)),f11(f18(f34(a31,a1)),a31)))),
% 2.82/2.91 inference(equality_inference,[],[1228])).
% 2.82/2.91 cnf(1322,plain,
% 2.82/2.91 (~P45(f30(f30(f25(f38(a32,a32)),f19(a42,a41,a32,a32)),f30(a37,f30(f6(f30(f6(f7(f12(f34(f38(a32,a32),a1)),f30(f6(f7(f14(a33),a36,a33,f34(a33,a1),a31),a31,a33,a1),f44(a37,a39,a40,a41,a42,a36,f43(a37,a39,a40,a41,a42,a36))),a1,f34(f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a31),a31,f34(f38(a32,a32),a1),f34(f34(f38(a32,a32),a1),f34(f38(a32,a32),a1))),a39),a31,f34(f38(a32,a32),a1),f34(f38(a32,a32),a1)),a40))))),
% 2.82/2.91 inference(equality_inference,[],[1246])).
% 2.82/2.91 cnf(1329,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),f4(f17(a33),f17(a33),a33)),f17(a33)))),
% 2.82/2.91 inference(equality_inference,[],[1266])).
% 2.82/2.91 cnf(1354,plain,
% 2.82/2.91 (~P45(f30(f30(f14(a33),x13541),f17(a33)))),
% 2.82/2.91 inference(rename_variables,[],[1005])).
% 2.82/2.91 cnf(1355,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x13551),f4(f4(x13552,x13551,a33),f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[209])).
% 2.82/2.91 cnf(1358,plain,
% 2.82/2.91 (P45(f30(f30(f25(x13581),x13582),f18(f34(x13581,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(1361,plain,
% 2.82/2.91 (P45(f30(f30(f25(x13611),x13612),f18(f34(x13611,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(1364,plain,
% 2.82/2.91 (P45(f30(f30(f25(x13641),x13642),f18(f34(x13641,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(1367,plain,
% 2.82/2.91 (~E(f4(x13671,f5(a33),a33),x13671)),
% 2.82/2.91 inference(rename_variables,[],[224])).
% 2.82/2.91 cnf(1368,plain,
% 2.82/2.91 (P45(f30(f30(f25(x13681),x13682),f18(f34(x13681,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(1375,plain,
% 2.82/2.91 (~E(f4(x13751,f5(a33),a33),x13751)),
% 2.82/2.91 inference(rename_variables,[],[224])).
% 2.82/2.91 cnf(1388,plain,
% 2.82/2.91 (~P45(f30(f30(f14(a33),f4(x13881,x13882,a33)),x13881))),
% 2.82/2.91 inference(rename_variables,[],[232])).
% 2.82/2.91 cnf(1391,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x13911),f4(f4(x13911,x13912,a33),f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[211])).
% 2.82/2.91 cnf(1404,plain,
% 2.82/2.91 (P45(f30(f30(f25(x14041),x14042),f18(f34(x14041,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(1407,plain,
% 2.82/2.91 (P45(f30(f30(f25(x14071),x14072),f18(f34(x14071,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(1412,plain,
% 2.82/2.91 (~P45(f30(f30(f14(a33),f4(x14121,x14122,a33)),x14121))),
% 2.82/2.91 inference(rename_variables,[],[232])).
% 2.82/2.91 cnf(1430,plain,
% 2.82/2.91 (P45(f30(f30(f25(x14301),x14302),f26(x14303,f18(f34(x14304,a1)),x14301,x14304)))),
% 2.82/2.91 inference(rename_variables,[],[798])).
% 2.82/2.91 cnf(1433,plain,
% 2.82/2.91 (P45(f30(f30(f25(x14331),x14332),f18(f34(x14331,a1))))),
% 2.82/2.91 inference(rename_variables,[],[193])).
% 2.82/2.91 cnf(1439,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x14391),f4(f4(x14392,x14391,a33),f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[209])).
% 2.82/2.91 cnf(1442,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x14421),f4(f4(x14422,x14421,a33),f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[209])).
% 2.82/2.91 cnf(1445,plain,
% 2.82/2.91 (P45(f30(f30(f14(a33),x14451),f4(f4(x14452,x14451,a33),f5(a33),a33)))),
% 2.82/2.91 inference(rename_variables,[],[209])).
% 2.82/2.91 cnf(1446,plain,
% 2.82/2.91 (~P45(f30(f30(f14(a33),f4(x14461,x14462,a33)),x14461))),
% 2.82/2.91 inference(rename_variables,[],[232])).
% 2.82/2.91 cnf(1449,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x14491),f4(x14492,x14491,a33)))),
% 2.82/2.91 inference(rename_variables,[],[196])).
% 2.82/2.91 cnf(1451,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x14511),f4(x14511,x14512,a33)))),
% 2.82/2.91 inference(rename_variables,[],[198])).
% 2.82/2.91 cnf(1462,plain,
% 2.82/2.91 (~P45(f30(f30(f14(a33),x14621),f17(a33)))),
% 2.82/2.91 inference(rename_variables,[],[1005])).
% 2.82/2.91 cnf(1470,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x14701),f4(x14702,x14701,a33)))),
% 2.82/2.91 inference(rename_variables,[],[196])).
% 2.82/2.91 cnf(1471,plain,
% 2.82/2.91 (~P45(f30(f30(f24(a33),f4(x14711,f4(x14712,f5(a33),a33),a33)),x14712))),
% 2.82/2.91 inference(rename_variables,[],[737])).
% 2.82/2.91 cnf(1474,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x14741),f4(x14742,x14741,a33)))),
% 2.82/2.91 inference(rename_variables,[],[196])).
% 2.82/2.91 cnf(1492,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x14921),f4(x14922,x14921,a33)))),
% 2.82/2.91 inference(rename_variables,[],[196])).
% 2.82/2.91 cnf(1495,plain,
% 2.82/2.91 (P45(f30(f30(f24(a33),x14951),f4(x14952,x14951,a33)))),
% 2.82/2.91 inference(rename_variables,[],[196])).
% 2.82/2.91 cnf(1515,plain,
% 2.82/2.91 ($false),
% 2.82/2.91 inference(scs_inference,[],[191,235,219,196,1449,1470,1474,1492,1495,198,1451,232,1388,1412,1446,193,1358,1361,1364,1368,1404,1407,1433,209,1355,1439,1442,1445,178,162,180,224,1367,1375,211,1391,222,166,170,172,173,171,163,164,165,158,218,725,1183,1314,798,1430,1032,1159,1315,737,1471,764,985,977,950,1012,948,1145,773,876,735,959,965,1322,817,1005,1354,1462,1329,1310,952,1185,1040,1027,1025,1191,1187,627,625,496,697,696,699,698,314,291,409,337,334,309,638,476,559,427,406,645,601,683,671,520,488,354,306,321,414,411,341,682,681,692,657,619,615,487,480,325,511,508,402,680,605,382,572,567,561,440,370,465,519,518,704,703,503,357,399,436,307,707]),
% 2.82/2.91 ['proof']).
% 2.82/2.91 % SZS output end Proof
% 2.82/2.91 % Total time :2.030000s
%------------------------------------------------------------------------------